The "special weighted distribution problem" of linear programming : an application and FORTRAN program

by Louis H. Wegner

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An aircraft-to-target assignment problem is formulated and shown to be a special case of the "Weighted distribution problem" (also called the "Generalized transportation problem") of linear programming. An algorithm by H. M. Markowitz for the solution of this "Special weighted distribution problem" is presented after the introduction of background material necessary for the development of the algorithm. The solution of a problem is included to illustrate the steps of the algorithm, which is then extended to solve a generalization that may be used when the original problem has no solution. A listing of the FORTRAN IV computer program for the extended algorithm is given in the appendix. 56 pp.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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