LINEAR PROGRAMMING
(Koopman and Kantarovich)
Koopman & Kantarovich are joint winners of the Nobel Prize in 1975.Kantarovich, a Russian mathematician, is one of the pioneers in the theory Linear Programming. His classic works include: Best use of Economic Resouces and Mathematical Methods of Organization and Planning. Koopman, is an economist and he used the Optimization tools for solving the problems of production processes or activities. Both Kantarovich and Koopman are responsible for the extensive literature on Linear Programming, Integrand Dynamic Programming techniques. These tools of optimization are very useful in programming and planning; in transportation problems; in product mix problems and resource allocation problems.
. These Optimization methods are considered as a branch of Mathematics, as a tool of Economics, or as a part of Operations Research, depending on the user.
As for the solution to these optimization problems, Simplex method is used for solving a Linear programming problem. For other programming problems also, there are methods of solution. All these programming problems can be solved in few minutes by the use of Computer Soft-ware.