Titlebook: Redundancy in Mathematical Programming; A State-of-the-Art S Mark H. Karwan,Vahid Lotfi,Jan Telgen Conference proceedings 1983 Springer-Ver

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forager

A Method for Identifying Redundant Constraints and Extraneous Variables in Linear Programming,he 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.

用樹皮

Encapsulate

Finding Redundant Constraints in Sets of Linear Inequalities,ining S and the nonnegativity constraints in the definition of S.. Hence, the statements, “The .th constraint of S is redundant (nonredundant)” and “The constraint x. ≥ 0 is redundant (nonredundant) in defining S.” are equivalent. We let S. be obtained from S by deleting the .th constraint.

fiction

A Method for Determining Redundant Constraints,ining redundant constraints, the results of Gal (1978) can be used. They are incorporated in the algorithm presented in Section 4.3. The polytope in the illustrative example in Section 4.4 is appropriately degenerate.

馬賽克

An Introduction to Redundancy,the desire on the part of the problem formulator not to omit essential elements of the formulation. Over the past twenty years numerous papers have been written on redundancy. In those papers methods have been presented for identifying redundancies. This volume presents an up-to-date survey of metho

開玩笑

Mathematical Foundations and Notation,consider their interrelationships. We then attempt to categorize the methods. Finally, we present some theory common to certain of the methods. The emphasis of the chapter is on linear inequalities and linear programming, but many of the results are readily extendable to more general mathematical pr

mechanism

A Method for Identifying Redundant Constraints and Extraneous Variables in Linear Programming,m 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 re

STELL

清楚說話

Identifying Redundancy in Systems of Linear Constraints,ental to the method is the possibility to recognize redundancy of a constraint by determining the minimum value of the associated slack variable. This property was first mentioned by Lisy (1971) and exploited in Gal (1975b). By defining the structural variables as the slack variables of the nonnegat