The Sharing Problem

J. Randall Brown
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J. Randall Brown: Kent State University, Kent, Ohio

Operations Research, 1979, vol. 27, issue 2, 324-340

Abstract: Many important problems are concerned with the equitable distribution of resources. A new approach to resource distribution problems is presented as a network flow problem with a maximum objective function. The value of the smallest linear tradeoff function at the terminal points in a capacitated network is maximized. We develop a polynomially bounded algorithm and give computational experience. We illustrate the importance and usefulness of the sharing-problem model by considering the equitable distribution of coal during a prolonged coal strike.

Date: 1979
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