2002International Journal of Information Technology & Decision MakingRequires access

AN EFFECTIVE APPROACH FOR SOLVING THE BINARY ASSIGNMENT PROBLEM WITH SIDE CONSTRAINTS

Gary A. Kochenberger, Fred Glover, Bahram Alidaee

Open publisher page 6 citations

Abstract

The binary assignment problem with a side constraint requiring the objective function to receive a specified value, which in general is an NP-hard problem, has been the focus of several papers in recent years. The current literature addresses various theoretical aspects of the problem, with a particular emphasis on a simplifying special case, but stops short of giving any computational experience. In this paper, we present a simple reformulation that enables the problem, and some of its extensions, to be solved by commonly available heuristic methods. We present preliminary computational experience with a Tabu search method that illustrates the effectiveness and computational robustness of the approach.

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What this paper is about

The binary assignment problem with a side constraint requiring the objective function to receive a specified value, which in general is an NP-hard problem, has been the focus of several papers in recent years. The current literature addresses various theoretical aspects of the problem, with a particular emphasis on a simplifying special case, but stops short of giving any computational experience. In this paper, we present a simple reformulation that enables the problem, and some of its extensions, to be solved by commonly available heuristic methods. We present preliminary computational experience with a Tabu search method that illustrates the effectiveness and computational robustness of the approach.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The binary assignment problem with a side constraint requiring the objective function to receive a specified value, which in general is an NP-hard problem, has been the focus of several papers in recent years. The current literature addresses various theoretical aspects of the problem, with a particular emphasis on a simplifying special case, but stops short of giving any computational experience. In this paper, we present a simple reformulation that enables the problem, and some of its extensions, to be solved by commonly available heuristic methods. We present preliminary computational experience with a Tabu search method that illustrates the effectiveness and computational robustness of the approach.

Key concepts: Mathematical optimization, Computer science, Tabu search, Robustness (evolution), Heuristic, Binary number, Computational problem, Focus (optics)

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