SOLVING MINIMUM-COST FLOW PROBLEMS BY SUCCESSIVE APPROXIMATION.

Abstract

We introduce a framework for solving minimum-cost flow problems. Our approach measures the quality of a solution by the amount that the complementary slackness conditions are violated. We show how to extend techniques developed for the maximum flow problem to improve the quality of a solution. This framework allows us to achieve O(min(n**3 ,n**5**/**3 m**2**/**3, nm log n) log(nC)) running time.