Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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A CLASS OF MINIMAX PROBLEMS SOLVABLE IN POLYNOMIAL TIME

TRAN VU THIEU, TRAN THI HUE

pp. 17-26

Abstract

We develop a polynomial-time algorithm for solving a class of 0-1 production-transportation problems. The objective function is the maximum of $n$ monotonic functions of the production volume. The transportation cost is assumed to be small as compared to the production cost and is omitted. The proposed algorithm is based on a labeling technique for improving feasible solutions.