Abstract

This paper presents a method for identifying redundant constraints and extraneous variables in linear programming problems. The method has evolved from the method of Zionts (1965) (see also Thompson, Tonge and Zionts (1966)) which identified redundant constraints and extraneous variables either prior to or during the solution of linear programming problems. In earlier work (Zionts and Wallenius (1976)) we had to solve a problem that is closely related to identifying all redundant constraints and extraneous variables in a linear programming problem. In Zionts and Wallenius (1980) we show that the method can solve five related problems, one of these problems being the redundant constraint problem. This paper develops the method fully for identifying redundant constraints and extraneous variables.

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