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Operations research

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research (modernly known as 'analytics') relies upon stochastic variables and a therefore access to truly random numbers. Fortunately, the cybernetics field also required the same level of randomness. The development of increasingly better random number generators has been a boon to both disciplines. Modern applications of operations research includes city planning, football strategies, emergency planning, optimizing all facets of industry and economy, and undoubtedly with the likelihood of the inclusion of terrorist attack planning and definitely counterterrorist attack planning. More recently, the research approach of operations research, which dates back to the 1950s, has been criticized for being collections of mathematical models but lacking an empirical basis of data collection for applications. How to collect data is not presented in the textbooks. Because of the lack of data, there are also no computer applications in the textbooks.
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aircraft a long way from the target it had time to alter course under water so the chances of it being within the 20-foot kill zone of the charges was small. It was more efficient to attack those submarines close to the surface when the targets' locations were better known than to attempt their destruction at greater depths when their positions could only be guessed. Before the change of settings from 100 to 25 feet, 1% of submerged U-boats were sunk and 14% damaged. After the change, 7% were sunk and 11% damaged; if submarines were caught on the surface but had time to submerge just before being attacked, the numbers rose to 11% sunk and 15% damaged. Blackett observed "there can be few cases where such a great operational gain had been obtained by such a small and simple change of tactics".
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acceptable reduces aircraft performance. Their suggestion to remove some of the crew so that an aircraft loss would result in fewer personnel losses, was also rejected by RAF command. Blackett's team made the logical recommendation that the armor be placed in the areas which were completely untouched by damage in the bombers who returned. They reasoned that the survey was biased, since it only included aircraft that returned to Britain. The areas untouched in returning aircraft were probably vital areas, which, if hit, would result in the loss of the aircraft. This story has been disputed, with a similar damage assessment study completed in the US by the
530: 4853: 583: 32: 672: 5558: 4865: 4251: 1331:, Canada, Australia, New Zealand, Philippines, India, Japan and South Africa. For the institutionalization of Operations Research, the foundation of the (IFORS) in 1960 was of decisive importance, which stimulated the foundation of national OR societies in Austria, Switzerland and Germany. IFORS held important international conferences every three years since 1957. The constituent members of IFORS form regional groups, such as that in Europe, the 4263: 5547: 4889: 4877: 4275: 571:
operations in the grey North Atlantic skies. Tests showed that aircraft painted white were on average not spotted until they were 20% closer than those painted black. This change indicated that 30% more submarines would be attacked and sunk for the same number of sightings. As a result of these findings Coastal Command changed their aircraft to using white undersurfaces.
219:. Operational researchers faced with a new problem must determine which of these techniques are most appropriate given the nature of the system, the goals for improvement, and constraints on time and computing power, or develop a new technique specific to the problem at hand (and, afterwards, to that type of problem). 627:
they could overwhelm the night fighters who flew in individual cells directed to their targets by ground controllers. It was then a matter of calculating the statistical loss from collisions against the statistical loss from night fighters to calculate how close the bombers should fly to minimize RAF
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was noted and the recommendation was given that armor be added in the most heavily damaged areas. This recommendation was not adopted because the fact that the aircraft were able to return with these areas damaged indicated the areas were not vital, and adding armor to non-vital areas where damage is
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In the decades after the two world wars, the tools of operations research were more widely applied to problems in business, industry, and society. Since that time, operational research has expanded into a field widely used in industries ranging from petrochemicals to airlines, finance, logistics, and
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The "exchange rate" ratio of output to input was a characteristic feature of operational research. By comparing the number of flying hours put in by Allied aircraft to the number of U-boat sightings in a given area, it was possible to redistribute aircraft to more productive patrol areas. Comparison
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to detect. On the other hand, large convoys could deploy more warships against an attacker. Blackett's staff showed that the losses suffered by convoys depended largely on the number of escort vessels present, rather than the size of the convoy. Their conclusion was that a few large convoys are more
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The modern field of operational research arose during World War II. In the World War II era, operational research was defined as "a scientific method of providing executive departments with a quantitative basis for decisions regarding the operations under their control". Other names for it included
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characterized the field of management science as "the business use of operations research". Like operational research itself, management science (MS) is an interdisciplinary branch of applied mathematics devoted to optimal decision planning, with strong links with economics, business, engineering,
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by increasing the training ratio from 4 to 10 percent of flying hours; revealed that wolf-packs of three United States submarines were the most effective number to enable all members of the pack to engage targets discovered on their individual patrol stations; revealed that glossy enamel paint was
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were changed from 100 to 25 feet, the kill ratios would go up. The reason was that if a U-boat saw an aircraft only shortly before it arrived over the target then at 100 feet the charges would do no damage (because the U-boat wouldn't have had time to descend as far as 100 feet), and if it saw the
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to hunt and destroy submarines, one of the analysts asked what colour the aircraft were. As most of them were from Bomber Command they were painted black for night-time operations. At the suggestion of CC-ORS a test was run to see if that was the best colour to camouflage the aircraft for daytime
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system to reduce shipping losses, but while the principle of using warships to accompany merchant ships was generally accepted, it was unclear whether it was better for convoys to be small or large. Convoys travel at the speed of the slowest member, so small convoys can travel faster. It was also
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gave important impulses for the spread of Operations Research in Western Europe; NATO headquarters (SHAPE) organised four conferences on OR in the 1950s – the one in 1956 with 120 participants – bringing OR to mainland Europe. Within NATO, OR was also known as "Scientific Advisory" (SA) and was
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to improve an organization's ability to enact rational and meaningful management decisions by arriving at optimal or near-optimal solutions to sometimes complex decision problems. Management scientists help businesses to achieve their goals using the scientific methods of operational research.
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The management scientist's mandate is to use rational, systematic, science-based techniques to inform and improve decisions of all kinds. Of course, the techniques of management science are not restricted to business applications but may be applied to military, medical, public administration,
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With the development of computers over the next three decades, Operations Research can now solve problems with hundreds of thousands of variables and constraints. Moreover, the large volumes of data required for such problems can be stored and manipulated very efficiently." Much of operations
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In the 1950s and 1960s, chairs of operations research were established in the U.S. and United Kingdom (from 1964 in Lancaster) in the management faculties of universities. Further influences from the U.S. on the development of operations research in Western Europe can be traced here. The
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Petropoulos, Fotios; Laporte, Gilbert; Aktas, Emel; Alumur, Sibel A.; Archetti, Claudia; Ayhan, Hayriye; Battarra, Maria; Bennell, Julia A.; Bourjolly, Jean-Marie; Boylan, John E.; Breton, Michèle; Canca, David; Charlin, Laurent; Chen, Bo; Cicek, Cihan Tugrul (27 December 2023).
1496:: Founded in 1975 and is presently by far the largest operational research journal in the world, with its around 9,000 pages of published papers per year. In 2004, its total number of citations was the second largest amongst Operational Research and Management Science journals; 878:
Project production activities: managing the flow of work activities in a capital project in response to system variability through operations research tools for variability reduction and buffer allocation using a combination of allocation of capacity, inventory and
445:" (CH). Initially, Rowe analysed the operating of the radar equipment and its communication networks, expanding later to include the operating personnel's behaviour. This revealed unappreciated limitations of the CH network and allowed remedial action to be taken. 2185:(AORG) that existed from 1946 to 1962. "In January 1962 the name was changed to Army Operational Research Establishment (AORE). Following the creation of a unified Ministry of Defence, a tri-service operational research organisation was established: the 754:
to ORSA, which soon had more than 500 members. In the 1960s, ORSA reached 8000 members. Consulting companies also founded OR groups. In 1953, Abraham Charnes and William Cooper published the first textbook on Linear Programming.
750:(ORSA) in 1952 and the Institute for Management Science (TIMS) in 1953. Philip Morse, the head of the Weapons Systems Evaluation Group of the Pentagon, became the first president of ORSA and attracted the companies of the 211:. Nearly all of these techniques involve the construction of mathematical models that attempt to describe the system. Because of the computational and statistical nature of most of these fields, OR also has strong ties to 718:
With expanded techniques and growing awareness of the field at the close of the war, operational research was no longer limited to only operational, but was extended to encompass equipment procurement, training,
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A systems analyst who contributes in the area of DSS must be skilled in such areas as management science (synonymous with decision science and operation research), modeling, simulation, and advanced statistics.
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authoritative OR textbooks from the U.S. were published in Germany in German language and in France in French (but not in Italian), such as the book by George Dantzig "Linear Programming"(1963) and the book by
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government, moving to a focus on the development of mathematical models that can be used to analyse and optimize sometimes complex systems, and has become an area of active academic and industrial research.
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Richard Vahrenkamp: Mathematical Management – Operations Research in the United States and Western Europe, 1945 – 1990, in: Management Revue – Socio-Economic Studies, vol. 34 (2023), issue 1, pp. 69–91
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that may prove useful in helping to illuminate management issues and solve managerial problems, as well as designing and developing new and better models of organizational excellence.
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and infrastructure. Operations research also grew in many areas other than the military once scientists learned to apply its principles to the civilian sector. The development of the
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Maurice W. Kirby (Operational Research Society (Great Britain)). Operational Research in War and Peace: The British Experience from the 1930s to 1970, Imperial College Press, 2003.
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et al. "Introduction to Operations Research"(1957). The latter was also published in Spanish in 1973, opening at the same time Latin American readers to Operations Research.
1367: 747: 659:, and they followed British forces in the advance across Europe. They analyzed, among other topics, the effectiveness of artillery, aerial bombing and anti-tank shooting. 553:
winners and many other people who went on to be pre-eminent in their fields. They undertook a number of crucial analyses that aided the war effort. Britain introduced the
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more effective camouflage for night fighters than conventional dull camouflage paint finish, and a smooth paint finish increased airspeed by reducing skin friction.
714:"To examine quantitatively whether the user organization is getting from the operation of its equipment the best attainable contribution to its overall objective." 768:
grouped together in the Advisory Group of Aeronautical Research and Development (AGARD). SHAPE and AGARD organized an OR conference in April 1957 in Paris. When
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may not be appropriate or may not suffice. Therefore, during the past 30 years, a number of non-quantified modeling methods have been developed. These include:
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laid per ship sunk was common to several campaigns: German mines in British ports, British mines on German routes, and United States mines in Japanese routes.
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which provides an introduction to OR and examples of successful applications of OR to industrial problems. This initiative has been adopted by the
2613: 5592: 4313: 3142: 1222:, military branches, and government. The range of problems and issues to which it has contributed insights and solutions is vast. It includes: 402:'s broad gauge. Beginning in the 20th century, study of inventory management could be considered the origin of modern operations research with 42: 773: 1370:(INFORMS) publishes thirteen scholarly journals about operations research, including the top two journals in their class, according to 2005 1512: 422:
brought operational research to bear on problems in physics in the 1920s and would later attempt to extend these to the social sciences.
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close to 1,000 men and women in Britain were engaged in operational research. About 200 operational research scientists worked for the
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Assignment (assigning crew to flights, trains or buses; employees to projects; commitment and dispatch of power generation facilities)
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problems. Because of its emphasis on practical applications, operations research has overlapped with many other disciplines, notably
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In 2004, the US-based organization INFORMS began an initiative to market the OR profession better, including a website entitled
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Robert J. Thierauf & Richard A. Grosse, "Decision Making Through Operations Research", John Wiley & Sons, INC, 1970
2163:"Operational Research in the British Army 1939–1945", October 1947, Report C67/3/4/48, UK National Archives file WO291/1301 1569: 1532: 2724: 1323:
for operational research societies worldwide, representing approximately 50 national societies including those in the US,
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Facility location (deciding most appropriate location for new facilities such as warehouses; factories or fire station)
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https://www.researchgate.net/publication/312602707_New_Era_of_Project_Delivery_-_Project_as_Production_System
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The major sub-disciplines (but not limited to) in modern operational research, as identified by the journal
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Some of the fields that have considerable overlap with Operations Research and Management Science include:
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In the 1950s, the term Operations Research was used to describe heterogeneous mathematical methods such as
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Bomber Command's Operational Research Section (BC-ORS), analyzed a report of a survey carried out by
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Finding the optimal parameter (weights) setting of an algorithm that generates the realisation of a
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Mathematical Management – Operations Research in the United States and Western Europe, 1945 – 1990
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worked for several different organizations during the war. Early in the war while working for the
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techniques and methods applied in the pursuit of improved decision-making and efficiency, such as
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Management is also concerned with so-called soft-operational analysis which concerns methods for
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rounds needed to shoot down an enemy aircraft from an average of over 20,000 at the start of the
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The application of these models within the corporate sector became known as management science.
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On land, the operational research sections of the Army Operational Research Group (AORG) of the
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in standard RAF green/dark earth/black night bomber finish as originally used by Coastal Command
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Mangel, Marc; Samaniego, Francisco J (1984). "Abraham Wald's Work on Aircraft Survivability".
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in 1913. Operational research may have originated in the efforts of military planners during
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Other work by the CC-ORS indicated that on average if the trigger depth of aerial-delivered
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in 1840, and to studies into the dynamical behaviour of railway vehicles in defence of the
8: 5315: 5164: 5107: 4950: 4831: 4663: 4562: 4496: 4453: 4443: 4423: 3974: 3867: 3612:, in: Management Revue – Socio-Economic Studies, vol. 34 (2023), issue 1, pp. 69–91. 3358: 2341: 1825: 1790: 1618: 1608: 1522: 1206: 1037: 1025: 819: 703: 632:
of exchange rates established "effectiveness ratios" useful in planning. The ratio of 60
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Journal of Defense Modeling and Simulation (JDMS): Applications, Methodology, Technology
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Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability
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Determining optimal prices, in many retail and B2B settings, within the disciplines of
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compositions (classical music) by using weighted local cost and transition cost rules
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operational analysis (UK Ministry of Defence from 1962) and quantitative management.
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Operational research (OR) encompasses the development and the use of a wide range of
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Game Theory (identifying, understanding; developing strategies adopted by companies)
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Taha, Hamdy A., "Operations Research: An Introduction", Pearson, 10th Edition, 2016
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P. W. Bridgman, The Logic of Modern Physics, The MacMillan Company, New York, 1927.
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Occupational Outlook Handbook, U.S. Department of Labor Bureau of Labor Statistics
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in the UK in 1937 as the result of an initiative of the station's superintendent,
5551: 5023: 4960: 4726: 4653: 4582: 4375: 4134: 4119: 4094: 4069: 3989: 3984: 3944: 3862: 3857: 3852: 3767: 3716: 3673: 3598:, History of Mathematics, Vol. 4, Providence, American Mathematical Society, 1990 2668: 2649: 2309: 2290: 2271: 2252: 2072: 1697: 1481: 1176: 1171: 955: 743: 473: 394:'s research into the cost of transportation and sorting of mail led to England's 391: 383: 246: 172: 160: 136: 3450:
L. V. Kantorovich, "Mathematical Methods of Organizing and Planning Production"
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Telecom & Data Communication Engineering (packet routing; timing; analysis)
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US perspective completely neglected, George Dantzig gets a passing mention only
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M.S. Sodhi, "What about the 'O' in O.R.?" OR/MS Today, December, 2007, p. 12,
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Hydraulics & Piping Engineering (managing flow of water from reservoirs)
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The Institute for Operations Research and the Management Sciences (INFORMS)
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History of Mathematical Programming: A Collection of Personal Reminiscences
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In 1941, Blackett moved from the RAE to the Navy, after first working with
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Applications are abundant such as in airlines, manufacturing companies,
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H. W. Kuhn, A. W. Tucker, "Nonlinear Programming," pp. 481–492 in
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Milkman, Raymond H. (May 1968). "Operation Research in World War II".
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Wallis, W. Allen (1980). "The Statistical Research Group, 1942–1945".
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Quoted on the dust-jacket of: Morse, Philip M, and Kimball, George E,
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Operations Analysis in the U.S. Army Eighth Air Force in World War II
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Charles C. Holt, Franco Modigliani, John F. Muth, Herbert A. Simon,
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Search and Screening: General Principles and Historical Applications
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Discipline concerning the application of advanced analytical methods
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Decisions with Multiple Objectives: Preferences and Value Tradeoffs
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Management Models and Industrial Applications of Linear Programming
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Interservice/Industry Training, Simulation and Education Conference
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An Annotated Timeline of Operations Research: An Informal History
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Operational research is also used extensively in government where
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Pascal's and Huygens's game-theoretic foundations for probability
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H. W. Kuhn, "The Hungarian Method for the Assignment Problem,"
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Computer Network Engineering (packet routing; timing; analysis)
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Employing techniques from other mathematical sciences, such as
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O. R. in World War 2: Operational Research Against the U-boat
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Institute for Operations Research and the Management Sciences
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Management science is concerned with developing and applying
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J. K. Lenstra, A. H. G. Rinnooy Kan, A. Schrijver (editors)
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Management Science: The Business Use of Operations Research
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International Federation of Operational Research Societies
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Zuckerman, Solly (1964). "In the Beginning -- And Later".
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International Federation of Operational Research Societies
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C. West Churchman, Russell L. Ackoff & E. L. Arnoff,
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The University of Tennessee, 2006. Retrieved 5 June 2008.
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Health Services (information and supply chain management)
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charitable groups, political groups or community groups.
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Profiles in Operations Research: Pioneers and Innovators
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These are listed in alphabetical order of their titles.
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France withdrew from the NATO military command structure
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Operational research doubled the on-target bomb rate of
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The Society for Modeling & Simulation International
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Systems analysis for computer-based information systems
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Omega - The International Journal of Management Science
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solved problems involving sometimes complex decisions (
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specially for 0-1 integer linear programming for binary
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Association of European Operational Research Societies
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argued that small convoys would be harder for German
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http://www.lionhrtpub.com/orms/orms-12-07/frqed.html
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While performing an analysis of the methods used by
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Omega - International Journal of Management Science
2511: 3415:Abraham Charnes, William W. Cooper, A. Henderson, 2994: 2652:Lancaster University, 2008. Retrieved 5 June 2008. 2554:PRINCIPLES AND APPLICATIONS OF OPERATIONS RESEARCH 1896: 1581:Spanish Statistics and Operations Research Society 1337:Simulation Interoperability Standards Organization 5608:Mathematical and quantitative methods (economics) 3562:Saul I. Gass (Editor), Arjang A. Assad (Editor), 2387: 2157: 1413:Manufacturing & Service Operations Management 882:Efficient messaging and customer response tactics 619:When Germany organized its air defences into the 5574: 3522:Frederick S. Hillier & Gerald J. Lieberman, 3493:Planning Production, Inventories, and Work Force 2003:"Operational Research: methods and applications" 2484:"RAF History – Bomber Command 60th Anniversary" 2450:Journal of the American Statistical Association 2447: 2423:Journal of the American Statistical Association 901:transportation and delivery systems (Examples: 228:The Journal of the Operational Research Society 109:: Operations Analysis), often shortened to the 3545:, Moscow: Soviet Radio Publishing House, 1964. 3486:Activity Analysis of Production and Allocation 3345: 2507: 2505: 425:Modern operational research originated at the 4921: 4307: 3658: 3559:. New York, Kluwer Academic Publishers, 2005. 3440:, Princeton, Princeton University Press, 1962 3433:, Princeton, Princeton University Press, 1963 3405:, Princeton University Press, Princeton, 1957 3395: 2390:Dirty Little Secrets of the Twentieth Century 1977:. INFORMS.org. 2 January 2009. Archived from 39:The examples and perspective in this article 3526:, McGraw-Hill: Boston MA; 10th Edition, 2014 3002:, vol. 34, no. 1, pp. 69–91, 2091: 2089: 1226:Scheduling (of airlines, trains, buses etc.) 448:Scientists in the United Kingdom (including 4321: 3495:, Englewood Cliffs, NJ, Prentice-Hall, 1960 2767: 2546: 2544: 2502: 2172: 2007:Journal of the Operational Research Society 1513:Journal of the Operational Research Society 1470:-A Quarterly Journal of Operations Research 951:Blending of raw materials in oil refineries 946:Sports events and their television coverage 4928: 4914: 4314: 4300: 3665: 3651: 2680: 2576: 2187:Defence Operational Research Establishment 1925: 1923: 3000:Management Revue – Socio-Economic Studies 2095: 2086: 2018: 1305: 963:: Cutting small items out of bigger ones. 939:Network data traffic: these are known as 80:Learn how and when to remove this message 2541: 2179:UK National Archives Catalogue for WO291 1894: 1492:European Journal of Operational Research 1354:in the UK, including a website entitled 581: 545:, in 1941 and then early in 1942 to the 528: 460:, (later Baron Zuckerman OM, KCB, FRS), 3536:, Englewood Cliffs, Prentice-Hall, 1969 3488:, New York, John Wiley & Sons, 1951 3461:, New York, John Wiley & Sons, 1976 3436:Lester K. Ford, Jr., D. Ray Fulkerson, 3419:, New York, John Wiley & Sons, 1953 2181:lists a War Office organisation called 1920: 1276:stakeholder based approaches including 386:, solved these types of problems using 5575: 2681:MerigĂł, JosĂ© M; Yang, Jian-Bo (2017). 2420: 2408:"Examine your assumptions – LessWrong" 2230:: CS1 maint: archived copy as title ( 1361: 255:Policy modeling and public sector work 234:Computing and information technologies 5593:Mathematical optimization in business 4909: 4295: 3646: 3417:An Introduction to Linear Programming 2768:Leszczynski, Mary (8 November 2011). 2638: 2636: 2314: 985: 783: 748:Operation Research Society of America 662: 353: 4876: 4274: 3513: 3505:Robert O. Schlaifer, Howard Raiffa, 3498:Philip M. Morse, George E. Kimball, 3408:Abraham Charnes, William W. Cooper, 2838: 1592: 1570:Production and Operations Management 1533:Military Operations Research Society 666: 358:In the 17th century, mathematicians 25: 4888: 4216:Systems theory in political science 3672: 3543:Introduction to Operations Research 3524:Introduction to Operations Research 3507:Applied Statistical Decision Theory 3426:, New York: J. Wiley and Sons, 1957 3424:Introduction to Operations Research 3235:"INFORMS Transactions on Education" 2861: 2655: 702:In 1947, under the auspices of the 491: 274:Transportation theory (mathematics) 120:is occasionally used as a synonym. 13: 5484:Microfoundations of macroeconomics 4935: 3466:Naval Research Logistics Quarterly 3390: 2633: 1529:Military Operations Research (MOR) 1427:Mathematics of Operations Research 14: 5629: 3616: 3534:Principles of Operations Research 3431:Linear Programming and Extensions 2329:A Failure of Intelligence: Part I 1821:Search-based software engineering 1457: 1394:INFORMS Transactions on Education 1050: 563:defensible than many small ones. 5557: 5556: 5545: 4887: 4875: 4864: 4863: 4851: 4273: 4261: 4250: 4249: 3481:, New York, Pergamon Press, 1980 3119:. Learn about OR. Archived from 2551:"1.2 A HISTORICAL PERSPECTIVE". 2344:. Familyheritage.ca. 24 May 1943 849:Weapon target assignment problem 670: 30: 4772:Computational complexity theory 3555:Saul I. Gass, Arjang A. Assad, 3364: 3315: 3293: 3271: 3249: 3227: 3205: 3183: 3161: 3135: 3109: 3087: 3065: 3043: 3021: 2988: 2966: 2944: 2922: 2900: 2878: 2855: 2832: 2810: 2784: 2761: 2739: 2713: 2674: 2618: 2606: 2597: 2570: 2561: 2476: 2441: 2414: 2400: 2381: 2368: 2356: 2334: 2295: 2276: 2257: 2238: 2192: 2183:Army Operational Research Group 2132: 1213: 706:, a symposium was organized in 4206:Systems theory in anthropology 3500:Methods of Operations Research 3484:Tjalling C. Koopmans, editor, 3213:"INFORMS Journal on Computing" 3191:"Information Systems Research" 2794:. Orsoc.org.uk. Archived from 2435:10.1080/01621459.1980.10477469 2077: 2058: 2043: 1993: 1967: 1953:"Operations Research Analysts" 1945: 1888: 1866: 1767:Geographic information systems 1737:Behavioral operations research 1579:: the official journal of the 1123:Geographic information science 839:Generalized assignment problem 810:time (therefore reducing cost) 452:(later Lord Blackett OM PRS), 19:For the academic journal, see 1: 4211:Systems theory in archaeology 3605:, London, Elek Science, 1973. 3457:Ralph Keeney, Howard Raiffa, 3145:. Informs.org. Archived from 2514:United States Naval Institute 2167:Methods of Operation Research 2029:10.1080/01605682.2023.2253852 1859: 1806:Project production management 774:Catholic University of Leuven 612:, the result of work done by 480:), and in the United States ( 21:Operations Research (journal) 3623:What is Operations Research? 3549: 3447:, Cambridge, MIT Press, 1961 2577:Vahrenkamp, Richard (2019). 2486:. Raf.mod.uk. Archived from 1389:INFORMS Journal on Computing 1384:Information Systems Research 1352:Operational Research Society 1310: 907:intermodal freight transport 844:Quadratic assignment problem 516:Royal Aircraft Establishment 100: 7: 5429:Civil engineering economics 5414:Statistical decision theory 5054:Income elasticity of demand 3008:10.5771/0935-9915-2023-1-69 2699:10.1016/j.omega.2016.12.004 2662:What is Management Science? 2643:What is Management Science? 2586:Real World Economics Review 1895:Wetherbe, James C. (1979), 1752:Business process management 1587: 1545:Operations Research Letters 1486:Decision Sciences Institute 1266:problem structuring methods 911:travelling salesman problem 752:military-industrial complex 154: 56:, discuss the issue on the 10: 5634: 5064:Price elasticity of supply 5059:Price elasticity of demand 5049:Cross elasticity of demand 4822:Films about mathematicians 3396:Classic books and articles 2976:. ORSSA. 23 September 2011 2388:James F. Dunnigan (1999). 1598:Operations research topics 1191:Transportation forecasting 989: 606:Statistical Research Group 344: 209:analytic hierarchy process 18: 5540: 5507: 5386: 4943: 4845: 4795: 4752: 4662: 4624: 4591: 4543: 4515: 4462: 4409: 4391:Philosophy of mathematics 4366: 4331: 4245: 4224: 4198: 3910: 3843: 3795: 3786: 3750: 3707:Coupled human–environment 3680: 3329:. Scs.org. Archived from 2648:14 September 2008 at the 1517:: an official journal of 1153:Mathematical optimization 915:driver scheduling problem 897:Transportation: managing 193:ordinal priority approach 189:data envelopment analysis 181:Markov decision processes 169:mathematical optimization 47:. The specific issue is: 5120:Income–consumption curve 4827:Recreational mathematics 3540:Wentzel (Ventsel), E. S. 1836:Supply chain engineering 1796:Operational level of war 1396:(an open access journal) 1372:Journal Citation Reports 488:and training schedules. 427:Bawdsey Research Station 107:Air Force Specialty Code 5603:Engineering disciplines 5454:Industrial organization 4712:Mathematical statistics 4702:Mathematical psychology 4672:Engineering mathematics 4606:Algebraic number theory 4040:Charles A. S. Hall 3097:. The Science of Better 3095:"The Science of Better" 2667:7 December 2008 at the 1811:Reliability engineering 1801:Power system simulation 1777:Industrial organization 1708:Frederick W. Lanchester 1629:Artificial intelligence 1270:modeling and simulation 1202:Supply chain management 1061:Artificial Intelligence 873:Supply chain management 643:bombing Japan from the 520:anti-aircraft artillery 404:economic order quantity 388:combinatorial reasoning 251:supply chain management 5613:Mathematical economics 5588:Industrial engineering 4858:Mathematics portal 4707:Mathematical sociology 4687:Mathematical economics 4682:Mathematical chemistry 4611:Analytic number theory 4492:Differential equations 3960:Ludwig von Bertalanffy 3279:"Organization Science" 2888:. ASOR. 1 January 1972 2529:Cite journal requires 2289:2 October 2013 at the 2270:27 August 2013 at the 2251:27 August 2013 at the 1975:"OR / Pubs / IOL Home" 1772:Industrial engineering 1762:Engineering management 1757:Database normalization 1643:Operations researchers 1637:Operations researchers 1624:Real options valuation 1451:Transportation Science 1306:Societies and journals 1287:morphological analysis 1133:Industrial engineering 858:: looking for a target 856:Bayesian search theory 790:Critical path analysis 592: 538: 396:universal "Penny Post" 141:industrial engineering 5424:Engineering economics 5019:Cost–benefit analysis 4837:Mathematics education 4767:Theory of computation 4487:Hypercomplex analysis 4237:Principia Cybernetica 3950:Anthony Stafford Beer 3820:Sociotechnical system 3594:Charles W. McArthur, 3591:, North-Holland, 1991 3357:24 April 2006 at the 2325:MIT Technology Review 2308:27 March 2014 at the 1816:Scientific management 1348:The Science of Better 1321:umbrella organization 1289:and various forms of 1220:service organizations 1148:Mathematical modeling 1104:Financial engineering 1094:Decision intelligence 1022:mathematical modeling 980:evidence-based policy 961:Cutting stock problem 830:Assignment Problems: 655:(MoS) were landed in 585: 532: 466:Owen Wansbrough-Jones 331:Quadratic programming 309:Aerospace engineering 290:Nonlinear programming 238:Financial engineering 5241:Price discrimination 5135:Intertemporal choice 4817:Informal mathematics 4697:Mathematical physics 4692:Mathematical finance 4677:Mathematical biology 4616:Diophantine geometry 4100:Mihajlo D. Mesarovic 4075:Edward Norton Lorenz 4030:Jay Wright Forrester 3835:World-systems theory 3810:Earth system science 3608:Richard Vahrenkamp: 2727:on 29 September 2017 2071:14 July 2009 at the 1831:Strategic management 1782:Managerial economics 1747:Business engineering 1563:Pesquisa Operacional 1523:Taylor & Francis 1440:Organization Science 1197:Stochastic processes 1026:numerical algorithms 943:or queueing systems. 814:Network optimization 441:system, code-named " 102:operational research 62:create a new article 54:improve this article 41:may not represent a 5583:Operations research 5552:Business portal 5489:Operations research 5316:Substitution effect 4832:Mathematics and art 4742:Operations research 4497:Functional analysis 3975:Kenneth E. Boulding 3445:Industrial Dynamics 3429:George B. Dantzig, 3403:Dynamic Programming 3359:Library of Congress 3169:"Decision Analysis" 3123:on 15 November 2011 2396:. pp. 215–217. 2327:(1 November 2006) " 2049:Shafer, G. (2018). 1826:Simulation modeling 1791:Military simulation 1619:Optimal maintenance 1609:Dynamic programming 1531:: published by the 1434:Operations Research 1362:Journals of INFORMS 1327:, France, Germany, 1301:robustness analysis 1207:Systems engineering 1012:-based principles, 931:Manufacturing steps 820:Resource allocation 704:British Association 610:Columbia University 568:RAF Coastal Command 543:RAF Coastal Command 439:early-warning radar 414:(convoy theory and 305:Dynamic programming 299:NP-complete problem 295:Integer programming 224:Operations Research 185:econometric methods 93:Operations research 5598:Applied statistics 5130:Indifference curve 5098:Goods and services 5039:Economies of scope 5034:Economies of scale 4777:Numerical analysis 4386:Mathematical logic 4381:Information theory 4105:James Grier Miller 4060:Faina M. Kirillova 4020:Heinz von Foerster 4010:Edsger W. Dijkstra 3970:Alexander Bogdanov 3955:Richard E. Bellman 3930:William Ross Ashby 3601:C. H. Waddington, 3532:Harvey M. Wagner, 3468:, 1–2, 1955, 83–97 3454:, 4, 1960, 266–422 3452:Management Science 3443:Jay W. Forrester, 3143:"INFORMS Journals" 2996:Richard Vahrenkamp 2490:on 5 November 2011 1713:Thomas L. Magnanti 1654:Leonid Kantorovich 1604:Black box analysis 1406:Management Science 1291:influence diagrams 1258:strategic planning 1167:Project management 1066:Business analytics 1018:analytical methods 1005:. It uses various 992:Management science 986:Management science 927:Personnel staffing 834:Assignment problem 784:Problems addressed 740:spare parts theory 729:linear programming 663:After World War II 653:Ministry of Supply 597:RAF Bomber Command 593: 539: 526:to 4,000 in 1941. 435:Robert Watson-Watt 378:; others, such as 364:Christiaan Huygens 354:Historical origins 339:Quadratic function 335:Quadratic equation 318:Information theory 285:Linear programming 259:Revenue management 177:stochastic-process 118:management science 5570: 5569: 5532:Political economy 5331:Supply and demand 5211:Pareto efficiency 4903: 4902: 4502:Harmonic analysis 4289: 4288: 4170:Manuela M. Veloso 4085:Humberto Maturana 4025:Stephanie Forrest 3995:C. West Churchman 3920:Russell L. Ackoff 3906: 3905: 3778:Positive feedback 3773:Negative feedback 3583:978-1-86094-366-9 3514:Classic textbooks 3438:Flows in Networks 3333:on 23 August 2009 3301:"Service Science" 3031:. Euro-online.org 2394:Harper Paperbacks 2212:on 12 August 2011 1856: 1855: 1688:William W. Cooper 1679:C. West Churchman 1664:Russell L. Ackoff 1659:Tjalling Koopmans 1484:on behalf of the 1477:Decision Sciences 1420:Marketing Science 1379:Decision Analysis 1295:cognitive mapping 1278:metagame analysis 1138:Inventory control 1089:Decision analysis 1024:, statistics and 826:Facility location 761:C. West Churchman 725:simplex algorithm 700: 699: 524:Battle of Britain 416:Lanchester's laws 368:problem of points 333:for solutions of 326:Quantum computing 269:Stochastic models 205:decision analysis 90: 89: 82: 64:, as appropriate. 5625: 5560: 5559: 5550: 5549: 5292:Returns to scale 5150:Market structure 4930: 4923: 4916: 4907: 4906: 4891: 4890: 4879: 4878: 4867: 4866: 4856: 4855: 4787:Computer algebra 4762:Computer science 4482:Complex analysis 4316: 4309: 4302: 4293: 4292: 4277: 4276: 4265: 4253: 4252: 4165:Francisco Varela 3897:Systems thinking 3830:Urban metabolism 3793: 3792: 3667: 3660: 3653: 3644: 3643: 3566:. Springer, 2011 3384: 3383: 3381: 3379: 3368: 3362: 3349: 3343: 3342: 3340: 3338: 3319: 3313: 3312: 3310: 3308: 3297: 3291: 3290: 3288: 3286: 3275: 3269: 3268: 3266: 3264: 3253: 3247: 3246: 3244: 3242: 3231: 3225: 3224: 3222: 3220: 3209: 3203: 3202: 3200: 3198: 3187: 3181: 3180: 3178: 3176: 3165: 3159: 3158: 3156: 3154: 3139: 3133: 3132: 3130: 3128: 3117:"Learn about OR" 3113: 3107: 3106: 3104: 3102: 3091: 3085: 3084: 3082: 3080: 3069: 3063: 3062: 3060: 3058: 3047: 3041: 3040: 3038: 3036: 3025: 3019: 3018: 2992: 2986: 2985: 2983: 2981: 2970: 2964: 2963: 2961: 2959: 2948: 2942: 2941: 2939: 2937: 2926: 2920: 2919: 2917: 2915: 2904: 2898: 2897: 2895: 2893: 2882: 2876: 2875: 2873: 2871: 2859: 2853: 2852: 2850: 2848: 2836: 2830: 2829: 2827: 2825: 2814: 2808: 2807: 2805: 2803: 2798:on 24 April 2006 2792:"The OR Society" 2788: 2782: 2781: 2779: 2777: 2765: 2759: 2758: 2756: 2754: 2743: 2737: 2736: 2734: 2732: 2723:. 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Waddington 450:Patrick Blackett 380:Pierre de Fermat 247:service sciences 213:computer science 104: 85: 78: 74: 71: 65: 34: 33: 26: 5633: 5632: 5628: 5627: 5626: 5624: 5623: 5622: 5618:Decision-making 5573: 5572: 5571: 5566: 5544: 5536: 5503: 5382: 5024:Deadweight loss 4961:Consumer choice 4939: 4934: 4904: 4899: 4850: 4841: 4791: 4748: 4727:Systems science 4658: 4654:Homotopy theory 4620: 4587: 4539: 4511: 4458: 4405: 4376:Category theory 4362: 4327: 4320: 4290: 4285: 4241: 4220: 4194: 4135:Anatol Rapoport 4120:Talcott Parsons 4095:Donella Meadows 4070:Allenna Leonard 3990:Mary Cartwright 3985:Kathleen Carley 3945:Gregory Bateson 3940:BĂ©la H. Bánáthy 3902: 3839: 3788: 3782: 3768:Limiting factor 3763:Leverage points 3746: 3684: 3676: 3674:Systems science 3671: 3619: 3552: 3516: 3477:B. O. Koopman, 3401:R. E. Bellman, 3398: 3393: 3391:Further reading 3388: 3387: 3377: 3375: 3370: 3369: 3365: 3350: 3346: 3336: 3334: 3320: 3316: 3306: 3304: 3299: 3298: 3294: 3284: 3282: 3277: 3276: 3272: 3262: 3260: 3255: 3254: 3250: 3240: 3238: 3233: 3232: 3228: 3218: 3216: 3211: 3210: 3206: 3196: 3194: 3189: 3188: 3184: 3174: 3172: 3167: 3166: 3162: 3152: 3150: 3149:on 9 March 2010 3141: 3140: 3136: 3126: 3124: 3115: 3114: 3110: 3100: 3098: 3093: 3092: 3088: 3078: 3076: 3071: 3070: 3066: 3056: 3054: 3049: 3048: 3044: 3034: 3032: 3027: 3026: 3022: 2993: 2989: 2979: 2977: 2972: 2971: 2967: 2957: 2955: 2950: 2949: 2945: 2935: 2933: 2928: 2927: 2923: 2913: 2911: 2906: 2905: 2901: 2891: 2889: 2884: 2883: 2879: 2869: 2867: 2860: 2856: 2846: 2844: 2837: 2833: 2823: 2821: 2816: 2815: 2811: 2801: 2799: 2790: 2789: 2785: 2775: 2773: 2766: 2762: 2752: 2750: 2745: 2744: 2740: 2730: 2728: 2719: 2718: 2714: 2679: 2675: 2669:Wayback Machine 2660: 2656: 2650:Wayback Machine 2641: 2634: 2623: 2619: 2611: 2607: 2602: 2598: 2581: 2575: 2571: 2566: 2562: 2550: 2549: 2542: 2530: 2528: 2519: 2518: 2510: 2503: 2493: 2491: 2482: 2481: 2477: 2462:10.2307/2288257 2446: 2442: 2419: 2415: 2406: 2405: 2401: 2386: 2382: 2373: 2369: 2361: 2357: 2347: 2345: 2340: 2339: 2335: 2319: 2315: 2310:Wayback Machine 2300: 2296: 2291:Wayback Machine 2281: 2277: 2272:Wayback Machine 2262: 2258: 2253:Wayback Machine 2243: 2239: 2223: 2222: 2215: 2213: 2209: 2202: 2200:"Archived copy" 2198: 2197: 2193: 2177: 2173: 2164: 2162: 2158: 2148: 2146: 2138: 2137: 2133: 2110:10.2307/3007115 2094: 2087: 2082: 2078: 2073:Wayback Machine 2063: 2059: 2048: 2044: 1998: 1994: 1984: 1982: 1973: 1972: 1968: 1958: 1956: 1951: 1950: 1946: 1936: 1934: 1929: 1928: 1921: 1911: 1893: 1889: 1879: 1877: 1874:"What is O.R.?" 1872: 1871: 1867: 1862: 1857: 1698:Richard M. Karp 1590: 1482:Wiley-Blackwell 1460: 1445:Service Science 1364: 1313: 1308: 1216: 1211: 1177:Queueing theory 1172:Policy analysis 1053: 994: 988: 956:pricing science 941:queueing models 786: 696: 690: 687: 680:needs expansion 665: 494: 474:Jacob Bronowski 458:Solly Zuckerman 392:Charles Babbage 384:Jacob Bernoulli 376:expected values 356: 347: 197:neural networks 173:queueing theory 161:problem-solving 157: 137:decision-making 97:British English 86: 75: 69: 66: 51: 35: 31: 24: 17: 12: 11: 5: 5631: 5621: 5620: 5615: 5610: 5605: 5600: 5595: 5590: 5585: 5568: 5567: 5565: 5564: 5554: 5541: 5538: 5537: 5535: 5534: 5529: 5527:Macroeconomics 5524: 5523: 5522: 5511: 5509: 5505: 5504: 5502: 5501: 5496: 5491: 5486: 5481: 5476: 5471: 5466: 5461: 5456: 5451: 5446: 5441: 5436: 5431: 5426: 5421: 5416: 5411: 5406: 5401: 5396: 5390: 5388: 5384: 5383: 5381: 5380: 5375: 5374: 5373: 5368: 5358: 5353: 5352: 5351: 5342: 5328: 5323: 5318: 5313: 5304: 5299: 5294: 5289: 5284: 5279: 5274: 5269: 5264: 5263: 5262: 5257: 5248: 5243: 5238: 5233: 5228: 5226:Price controls 5218: 5213: 5208: 5207: 5206: 5201: 5196: 5191: 5190: 5189: 5184: 5174: 5169: 5168: 5167: 5162: 5147: 5145:Market failure 5142: 5137: 5132: 5127: 5122: 5117: 5112: 5111: 5110: 5105: 5095: 5090: 5085: 5080: 5079: 5078: 5068: 5067: 5066: 5061: 5056: 5051: 5041: 5036: 5031: 5026: 5021: 5016: 5015: 5014: 5009: 5004: 4999: 4998: 4997: 4987: 4982: 4972: 4963: 4958: 4953: 4947: 4945: 4941: 4940: 4937:Microeconomics 4933: 4932: 4925: 4918: 4910: 4901: 4900: 4898: 4897: 4885: 4873: 4861: 4846: 4843: 4842: 4840: 4839: 4834: 4829: 4824: 4819: 4814: 4813: 4812: 4805:Mathematicians 4801: 4799: 4797:Related topics 4793: 4792: 4790: 4789: 4784: 4779: 4774: 4769: 4764: 4758: 4756: 4750: 4749: 4747: 4746: 4745: 4744: 4739: 4734: 4732:Control theory 4724: 4719: 4714: 4709: 4704: 4699: 4694: 4689: 4684: 4679: 4674: 4668: 4666: 4660: 4659: 4657: 4656: 4651: 4646: 4641: 4636: 4630: 4628: 4622: 4621: 4619: 4618: 4613: 4608: 4603: 4597: 4595: 4589: 4588: 4586: 4585: 4580: 4575: 4570: 4565: 4560: 4555: 4549: 4547: 4541: 4540: 4538: 4537: 4532: 4527: 4521: 4519: 4513: 4512: 4510: 4509: 4507:Measure theory 4504: 4499: 4494: 4489: 4484: 4479: 4474: 4468: 4466: 4460: 4459: 4457: 4456: 4451: 4446: 4441: 4436: 4431: 4426: 4421: 4415: 4413: 4407: 4406: 4404: 4403: 4398: 4393: 4388: 4383: 4378: 4372: 4370: 4364: 4363: 4361: 4360: 4355: 4350: 4349: 4348: 4343: 4332: 4329: 4328: 4319: 4318: 4311: 4304: 4296: 4287: 4286: 4284: 4283: 4271: 4259: 4246: 4243: 4242: 4240: 4239: 4234: 4228: 4226: 4222: 4221: 4219: 4218: 4213: 4208: 4202: 4200: 4196: 4195: 4193: 4192: 4190:Anthony Wilden 4187: 4185:Jennifer Wilby 4182: 4180:Norbert Wiener 4177: 4172: 4167: 4162: 4157: 4152: 4150:Claude Shannon 4147: 4142: 4137: 4132: 4127: 4125:Ilya Prigogine 4122: 4117: 4115:Howard T. Odum 4112: 4110:Radhika Nagpal 4107: 4102: 4097: 4092: 4087: 4082: 4080:Niklas Luhmann 4077: 4072: 4067: 4062: 4057: 4052: 4047: 4042: 4037: 4032: 4027: 4022: 4017: 4012: 4007: 4005:George Dantzig 4002: 4000:Manfred Clynes 3997: 3992: 3987: 3982: 3977: 3972: 3967: 3965:Margaret Boden 3962: 3957: 3952: 3947: 3942: 3937: 3932: 3927: 3925:Victor Aladjev 3922: 3916: 3914: 3908: 3907: 3904: 3903: 3901: 3900: 3890: 3885: 3880: 3875: 3870: 3865: 3860: 3855: 3850: 3844: 3841: 3840: 3838: 3837: 3832: 3827: 3822: 3817: 3815:Living systems 3812: 3807: 3802: 3800:Control theory 3796: 3790: 3784: 3783: 3781: 3780: 3775: 3770: 3765: 3760: 3754: 3752: 3748: 3747: 3745: 3744: 3739: 3734: 3729: 3724: 3719: 3714: 3709: 3704: 3699: 3694: 3688: 3686: 3678: 3677: 3670: 3669: 3662: 3655: 3647: 3641: 3640: 3635: 3630: 3625: 3618: 3617:External links 3615: 3614: 3613: 3606: 3599: 3592: 3585: 3567: 3560: 3551: 3548: 3547: 3546: 3537: 3530: 3527: 3520: 3515: 3512: 3511: 3510: 3503: 3496: 3489: 3482: 3475: 3469: 3462: 3455: 3448: 3441: 3434: 3427: 3420: 3413: 3406: 3397: 3394: 3392: 3389: 3386: 3385: 3374:. Springer.com 3363: 3352:The OR Society 3344: 3314: 3292: 3270: 3248: 3226: 3204: 3182: 3160: 3134: 3108: 3086: 3064: 3053:. Sisostds.org 3042: 3020: 2987: 2965: 2943: 2921: 2899: 2877: 2854: 2831: 2809: 2783: 2760: 2738: 2712: 2673: 2654: 2632: 2617: 2605: 2596: 2569: 2560: 2540: 2531:|journal= 2501: 2475: 2440: 2413: 2399: 2380: 2367: 2355: 2333: 2313: 2294: 2275: 2256: 2237: 2191: 2171: 2156: 2144:Britannica.com 2131: 2104:(4): 287–292. 2085: 2076: 2057: 2042: 2013:(3): 423–617. 1992: 1981:on 27 May 2009 1966: 1944: 1919: 1909: 1887: 1864: 1863: 1861: 1858: 1854: 1853: 1849: 1848: 1843: 1838: 1833: 1828: 1823: 1818: 1813: 1808: 1803: 1798: 1793: 1786: 1785: 1784: 1779: 1774: 1769: 1764: 1759: 1754: 1749: 1744: 1739: 1733: 1732: 1731:Related fields 1727: 1726: 1725: 1720: 1715: 1710: 1705: 1700: 1695: 1693:Robert Dorfman 1690: 1683: 1682: 1681: 1676: 1671: 1666: 1661: 1656: 1651: 1649:George Dantzig 1646: 1639: 1638: 1633: 1632: 1631: 1626: 1621: 1616: 1611: 1606: 1600: 1599: 1591: 1589: 1586: 1585: 1584: 1574: 1566: 1560: 1554: 1548: 1542: 1536: 1526: 1519:The OR Society 1509: 1503: 1497: 1488: 1473: 1459: 1458:Other journals 1456: 1455: 1454: 1447: 1442: 1437: 1430: 1423: 1416: 1409: 1402: 1397: 1391: 1386: 1381: 1363: 1360: 1356:Learn About OR 1319:(IFORS) is an 1312: 1309: 1307: 1304: 1303: 1302: 1299: 1296: 1293: 1284: 1252: 1251: 1248: 1245: 1242: 1239: 1236: 1233: 1230: 1227: 1215: 1212: 1210: 1209: 1204: 1199: 1194: 1187:Social network 1184: 1179: 1174: 1169: 1164: 1155: 1150: 1145: 1140: 1135: 1130: 1125: 1116: 1111: 1106: 1101: 1096: 1091: 1086: 1073: 1068: 1063: 1057: 1052: 1051:Related fields 1049: 990:Main article: 987: 984: 976: 975: 964: 958: 952: 949: 948: 947: 944: 937: 932: 929: 918: 895: 889: 883: 880: 876: 870: 864: 862:Optimal search 859: 853: 852: 851: 846: 841: 836: 828: 823: 817: 811: 797: 785: 782: 716: 715: 698: 697: 677: 675: 664: 661: 621:Kammhuber Line 589:Kammhuber Line 493: 490: 482:George Dantzig 420:Percy Bridgman 408:Ford W. Harris 372:game-theoretic 355: 352: 346: 343: 342: 341: 328: 315: 302: 292: 287: 282: 281:for strategies 276: 271: 266: 261: 256: 253: 240: 235: 201:expert systems 156: 153: 88: 87: 45:of the subject 43:worldwide view 38: 36: 29: 15: 9: 6: 4: 3: 2: 5630: 5619: 5616: 5614: 5611: 5609: 5606: 5604: 5601: 5599: 5596: 5594: 5591: 5589: 5586: 5584: 5581: 5580: 5578: 5563: 5555: 5553: 5548: 5543: 5542: 5539: 5533: 5530: 5528: 5525: 5521: 5518: 5517: 5516: 5513: 5512: 5510: 5506: 5500: 5497: 5495: 5492: 5490: 5487: 5485: 5482: 5480: 5477: 5475: 5472: 5470: 5467: 5465: 5462: 5460: 5459:Institutional 5457: 5455: 5452: 5450: 5447: 5445: 5442: 5440: 5437: 5435: 5432: 5430: 5427: 5425: 5422: 5420: 5417: 5415: 5412: 5410: 5407: 5405: 5404:Computational 5402: 5400: 5397: 5395: 5392: 5391: 5389: 5385: 5379: 5376: 5372: 5369: 5367: 5364: 5363: 5362: 5359: 5357: 5354: 5350: 5349:Law of supply 5346: 5343: 5341: 5340:Law of demand 5337: 5334: 5333: 5332: 5329: 5327: 5326:Social choice 5324: 5322: 5319: 5317: 5314: 5312: 5311:Excess supply 5308: 5305: 5303: 5300: 5298: 5297:Risk aversion 5295: 5293: 5290: 5288: 5285: 5283: 5280: 5278: 5275: 5273: 5270: 5268: 5265: 5261: 5258: 5256: 5252: 5249: 5247: 5244: 5242: 5239: 5237: 5234: 5232: 5231:Price ceiling 5229: 5227: 5224: 5223: 5222: 5219: 5217: 5214: 5212: 5209: 5205: 5202: 5200: 5197: 5195: 5192: 5188: 5187:Complementary 5185: 5183: 5180: 5179: 5178: 5175: 5173: 5170: 5166: 5163: 5161: 5158: 5157: 5156: 5153: 5152: 5151: 5148: 5146: 5143: 5141: 5138: 5136: 5133: 5131: 5128: 5126: 5123: 5121: 5118: 5116: 5113: 5109: 5106: 5104: 5101: 5100: 5099: 5096: 5094: 5091: 5089: 5086: 5084: 5081: 5077: 5074: 5073: 5072: 5069: 5065: 5062: 5060: 5057: 5055: 5052: 5050: 5047: 5046: 5045: 5042: 5040: 5037: 5035: 5032: 5030: 5027: 5025: 5022: 5020: 5017: 5013: 5010: 5008: 5005: 5003: 5000: 4996: 4993: 4992: 4991: 4988: 4986: 4983: 4981: 4978: 4977: 4976: 4973: 4971: 4970:non-convexity 4967: 4964: 4962: 4959: 4957: 4954: 4952: 4949: 4948: 4946: 4942: 4938: 4931: 4926: 4924: 4919: 4917: 4912: 4911: 4908: 4896: 4895: 4886: 4884: 4883: 4874: 4872: 4871: 4862: 4860: 4859: 4854: 4848: 4847: 4844: 4838: 4835: 4833: 4830: 4828: 4825: 4823: 4820: 4818: 4815: 4811: 4808: 4807: 4806: 4803: 4802: 4800: 4798: 4794: 4788: 4785: 4783: 4780: 4778: 4775: 4773: 4770: 4768: 4765: 4763: 4760: 4759: 4757: 4755: 4754:Computational 4751: 4743: 4740: 4738: 4735: 4733: 4730: 4729: 4728: 4725: 4723: 4720: 4718: 4715: 4713: 4710: 4708: 4705: 4703: 4700: 4698: 4695: 4693: 4690: 4688: 4685: 4683: 4680: 4678: 4675: 4673: 4670: 4669: 4667: 4665: 4661: 4655: 4652: 4650: 4647: 4645: 4642: 4640: 4637: 4635: 4632: 4631: 4629: 4627: 4623: 4617: 4614: 4612: 4609: 4607: 4604: 4602: 4599: 4598: 4596: 4594: 4593:Number theory 4590: 4584: 4581: 4579: 4576: 4574: 4571: 4569: 4566: 4564: 4561: 4559: 4556: 4554: 4551: 4550: 4548: 4546: 4542: 4536: 4533: 4531: 4528: 4526: 4525:Combinatorics 4523: 4522: 4520: 4518: 4514: 4508: 4505: 4503: 4500: 4498: 4495: 4493: 4490: 4488: 4485: 4483: 4480: 4478: 4477:Real analysis 4475: 4473: 4470: 4469: 4467: 4465: 4461: 4455: 4452: 4450: 4447: 4445: 4442: 4440: 4437: 4435: 4432: 4430: 4427: 4425: 4422: 4420: 4417: 4416: 4414: 4412: 4408: 4402: 4399: 4397: 4394: 4392: 4389: 4387: 4384: 4382: 4379: 4377: 4374: 4373: 4371: 4369: 4365: 4359: 4356: 4354: 4351: 4347: 4344: 4342: 4339: 4338: 4337: 4334: 4333: 4330: 4325: 4317: 4312: 4310: 4305: 4303: 4298: 4297: 4294: 4282: 4281: 4272: 4270: 4269: 4264: 4260: 4258: 4257: 4248: 4247: 4244: 4238: 4235: 4233: 4230: 4229: 4227: 4225:Organizations 4223: 4217: 4214: 4212: 4209: 4207: 4204: 4203: 4201: 4197: 4191: 4188: 4186: 4183: 4181: 4178: 4176: 4175:Kevin Warwick 4173: 4171: 4168: 4166: 4163: 4161: 4158: 4156: 4153: 4151: 4148: 4146: 4143: 4141: 4138: 4136: 4133: 4131: 4128: 4126: 4123: 4121: 4118: 4116: 4113: 4111: 4108: 4106: 4103: 4101: 4098: 4096: 4093: 4091: 4090:Margaret Mead 4088: 4086: 4083: 4081: 4078: 4076: 4073: 4071: 4068: 4066: 4063: 4061: 4058: 4056: 4053: 4051: 4050:Lydia Kavraki 4048: 4046: 4043: 4041: 4038: 4036: 4035:Barbara Grosz 4033: 4031: 4028: 4026: 4023: 4021: 4018: 4016: 4013: 4011: 4008: 4006: 4003: 4001: 3998: 3996: 3993: 3991: 3988: 3986: 3983: 3981: 3978: 3976: 3973: 3971: 3968: 3966: 3963: 3961: 3958: 3956: 3953: 3951: 3948: 3946: 3943: 3941: 3938: 3936: 3935:Ruzena Bajcsy 3933: 3931: 3928: 3926: 3923: 3921: 3918: 3917: 3915: 3913: 3909: 3898: 3894: 3891: 3889: 3886: 3884: 3881: 3879: 3876: 3874: 3871: 3869: 3866: 3864: 3861: 3859: 3856: 3854: 3851: 3849: 3846: 3845: 3842: 3836: 3833: 3831: 3828: 3826: 3823: 3821: 3818: 3816: 3813: 3811: 3808: 3806: 3803: 3801: 3798: 3797: 3794: 3791: 3785: 3779: 3776: 3774: 3771: 3769: 3766: 3764: 3761: 3759: 3758:Doubling time 3756: 3755: 3753: 3749: 3743: 3740: 3738: 3735: 3733: 3730: 3728: 3725: 3723: 3720: 3718: 3715: 3713: 3710: 3708: 3705: 3703: 3700: 3698: 3695: 3693: 3690: 3689: 3687: 3683: 3679: 3675: 3668: 3663: 3661: 3656: 3654: 3649: 3648: 3645: 3639: 3636: 3634: 3631: 3629: 3626: 3624: 3621: 3620: 3611: 3607: 3604: 3600: 3597: 3593: 3590: 3586: 3584: 3580: 3576: 3575:1-86094-366-7 3572: 3568: 3565: 3561: 3558: 3554: 3553: 3544: 3541: 3538: 3535: 3531: 3528: 3525: 3521: 3518: 3517: 3508: 3504: 3501: 3497: 3494: 3490: 3487: 3483: 3480: 3476: 3474: 3470: 3467: 3463: 3460: 3456: 3453: 3449: 3446: 3442: 3439: 3435: 3432: 3428: 3425: 3421: 3418: 3414: 3411: 3407: 3404: 3400: 3399: 3373: 3367: 3361:Web Archives; 3360: 3356: 3353: 3348: 3332: 3328: 3324: 3318: 3303:. Informs.org 3302: 3296: 3281:. Informs.org 3280: 3274: 3259:. Informs.org 3258: 3252: 3237:. Informs.org 3236: 3230: 3215:. Informs.org 3214: 3208: 3193:. Informs.org 3192: 3186: 3171:. Informs.org 3170: 3164: 3148: 3144: 3138: 3122: 3118: 3112: 3096: 3090: 3074: 3068: 3052: 3046: 3030: 3029:"EURO (EURO)" 3024: 3017: 3013: 3009: 3005: 3001: 2997: 2991: 2975: 2969: 2953: 2947: 2931: 2925: 2909: 2903: 2887: 2881: 2865: 2858: 2842: 2835: 2819: 2813: 2797: 2793: 2787: 2771: 2764: 2748: 2742: 2726: 2722: 2716: 2708: 2704: 2700: 2696: 2692: 2688: 2684: 2677: 2670: 2666: 2663: 2658: 2651: 2647: 2644: 2639: 2637: 2630: 2626: 2625:Stafford Beer 2621: 2615: 2609: 2600: 2591: 2587: 2580: 2573: 2564: 2556: 2555: 2547: 2545: 2536: 2523: 2515: 2508: 2506: 2489: 2485: 2479: 2471: 2467: 2463: 2459: 2455: 2451: 2444: 2436: 2432: 2428: 2424: 2417: 2409: 2403: 2395: 2391: 2384: 2377: 2371: 2365: 2359: 2343: 2337: 2330: 2326: 2322: 2321:Freeman Dyson 2317: 2311: 2307: 2304: 2298: 2292: 2288: 2285: 2279: 2273: 2269: 2266: 2260: 2254: 2250: 2247: 2241: 2233: 2227: 2208: 2201: 2195: 2188: 2184: 2180: 2175: 2168: 2160: 2145: 2141: 2135: 2127: 2123: 2119: 2115: 2111: 2107: 2103: 2099: 2092: 2090: 2080: 2074: 2070: 2067: 2061: 2055: 2052: 2046: 2038: 2034: 2030: 2026: 2021: 2016: 2012: 2008: 2004: 1996: 1980: 1976: 1970: 1954: 1948: 1932: 1926: 1924: 1916: 1912: 1910:9780829902280 1906: 1901: 1900: 1891: 1876:. INFORMS.org 1875: 1869: 1865: 1852: 1847: 1844: 1842: 1841:System safety 1839: 1837: 1834: 1832: 1829: 1827: 1824: 1822: 1819: 1817: 1814: 1812: 1809: 1807: 1804: 1802: 1799: 1797: 1794: 1792: 1789: 1788: 1787: 1783: 1780: 1778: 1775: 1773: 1770: 1768: 1765: 1763: 1760: 1758: 1755: 1753: 1750: 1748: 1745: 1743: 1740: 1738: 1735: 1734: 1730: 1729: 1728: 1724: 1723:Peter Whittle 1721: 1719: 1718:Alvin E. 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