As computers have become faster, it is often possible to solve many large linear programming problems in real time. Basically, the idea behind linear programming is to find the maximum or minimum value of a linear function (typically of many variables) where the variables are constrained by a system of linear inequalities. It makes possible a wide array of scheduling, allocation and blending problems to be solved. Linear programming has been one of the most successful applied mathematical tools in history. One early triumph of the newly emerging area of operations research was the codification of the linear programming model.
Operations research drew heavily on the mathematics and the nascent computer science to assist businesses, governments, and individuals in organizing their work (and play) more efficiently. The ideas laid down during the war became codified in the area of knowledge that has come to be called operations research or management science. With no lines of supply, soldiers can not be very effective.
During World War II the Allies discovered that wars were not only waged by soldiers but by the people who designed the efficiency of the scheduling of troop movements and materiel that were necessary for soldiers to fight the war.
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