A Sequential Approach to the 0-1 Linear Programming Problem

The paper gives a method of minimizing a linear function of zero-one variables subject to linear constraints. The method is based on transforming an n-variable m-constraint problem into a sequence of n-variable 2-constraint problems which are easier to solve. The algorithm has been tested on test pr...

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Bibliographic Details
Published in:SIAM journal on applied mathematics Vol. 31; no. 2; pp. 271 - 285
Main Authors: Christofides, Nicos, Trypia, Mary
Format: Journal Article
Language:English
Published: Philadelphia Society for Industrial and Applied Mathematics 01.09.1976
Subjects:
Algorithms
Dynamic programming
Integer programming
Integers
Iterative solutions
Linear programming
Methods
Objective functions
Optimal solutions
Tableaux
Variable coefficients
ISSN:0036-1399, 1095-712X
Online Access:Get full text
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Summary:The paper gives a method of minimizing a linear function of zero-one variables subject to linear constraints. The method is based on transforming an n-variable m-constraint problem into a sequence of n-variable 2-constraint problems which are easier to solve. The algorithm has been tested on test problems found in the literature and on a set of 80 random problems. Good results have been obtained, both in terms of the number of iterations involved in solving this sequence of subproblems, and in terms of the total computation time required to reach the final solution. The method is most effective when the coefficients of the problem are small integer numbers.
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ISSN:0036-1399
1095-712X
DOI:10.1137/0131022