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January 1957 - Volume 25 Issue 1 Page 84 - 110


p.84


On the Solution of Discrete Programming Problems

Harry M. Markowitz
Alan S. Manne

Abstract

This paper considers optimization problems in which some or all variables must take on integral values. An ability to solve such problems would be valuable in itself, and would also allow us to handle certain kinds of heretofore intractable "economies of scale." We do not present an automatic algorithm for solving such problems. Rather we present a general approach susceptible to individual variations, depending upon the problem and the judgment of the user. Two moderate-size examples are presented to illustrate the method.

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