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Encyclopedia :
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Operations research |
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Operations researchOperations research, operational research, or simply OR, is the use of mathematical models, statistics and algorithms to aid in decision-making. It is most often used to analyze complex real-world systems, typically with the goal of improving or optimizing performance. It is one form of applied mathematics.Operations research in contextThe terms operations research and management science are often used synonymously. When a distinction is drawn, management science generally implies a closer relationship to the problems of business management. Operations research also closely relates to industrial engineering. Industrial engineering takes more of an engineering point of view, and industrial engineers typically consider OR techniques to be a major part of their toolset. Some of the primary tools used by operations researchers are statistics, optimization, stochastics, queueing theory, game theory, graph theory, and simulation. Because of the computational nature of these fields OR also has ties to computer science, and operations researchers regularly use custom-written or off-the-shelf software. Operations research is distinguished by its ability to look at and improve an entire system, rather than concentrating only on specific elements (though this is often done as well). An operations researcher faced with a new problem is expected to determine which techniques are most appropriate given the nature of the system, the goals for improvement, and constraints on time and computing power. For this and other reasons, the human element of OR is vital. Like any tools, OR techniques cannot solve problems by themselves. Areas of applicationA few examples of applications in which operations research is currently used include the following:
Origins and the nameAlthough foundations were laid earlier, the field of operations research as we know it arose during World War II, as military planners in the United Kingdom (including Frederick Lanchester, Patrick Blackett and Frank Yates) and in the United States looked for ways to make better decisions in such areas as logistics and training schedules. After the war it began to be applied to similar problems in industry. It is known as "operational research" in the United Kingdom ("operational analysis" within the UK military and Ministry of Defence, where OR stands for "operational requirements") and as "operations research" in most other English-speaking countries, though OR is a common abbreviation everywhere. The name is somewhat unfortunate, since OR is no longer concerned only with operations, nor does its application involve any research in the traditional sense (though OR research is still carried out to find new or better techniques). ExamplesBlackett's team made a number of crucial analyses which aided the war effort. Britain introduced the convoy 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 argued that small convoys would be harder for German U-boats to detect. On the other hand, large convoys could deploy more warships against an attacker and also the proportion of merchant ships sunk by a U-boat would be lower. Blackett's staff clearly showed that:
See alsoExternal links
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