一般运输问题的单纯形类算法:踏脚石法的替代方案

A Simplex-type Algorithm for General Transportation Problems: An Alternative to Stepping-stone

Journal of the Operational Research Society · 1989
被引 3
ABS 3

中文导读

提出一种仅用高斯-若尔当转轴操作的通用算法求解运输问题,比单纯形法更快、比踏脚石法更通用且更简单,最终表格可用于后最优性分析。

Abstract

This paper re-examines use of the linear programming (LP) formulation to solve the transportation problem (TP). The proposed method is a general-purpose algorithm which uses only one operation, the Gauss Jordan pivoting used in the simplex method. The final tableau can be used for post-optimality analysis of TP. This algorithm appears to be faster than simplex, more general than stepping-stone and simpler than both in solving general TP. A numerical example illustrates the methodology. It is assumed the reader is familiar with simplex terminology.

运输问题线性规划单纯形算法运筹学