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Application of Combinatorial Programming to a Class of All-Zero-One Integer Programming Problems

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  • John F. Pierce

    (Massachusetts Institute of Technology)

Abstract

Problem-solving procedures based on the methods of combinatorial programming are presented for solving a class of integer programming problems in which all elements are zero or one. All of the procedures seek first a feasible solution and then successively better and better feasible solutions until ultimately one is discovered which is shown to be optimal. By representing the problem elements in a binary computer as bits in a word and employing logical "and" and "or" operations in the problem-solving process, a number of problems involving several hundred integer variables have been solved in a matter of seconds.

Suggested Citation

  • John F. Pierce, 1968. "Application of Combinatorial Programming to a Class of All-Zero-One Integer Programming Problems," Management Science, INFORMS, vol. 15(3), pages 191-209, November.
    • Handle: RePEc:inm:ormnsc:v:15:y:1968:i:3:p:191-209
    DOI: 10.1287/mnsc.15.3.191
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    Cited by:

    1. Sarin, Subhash C. & Aggarwal, Sanjay, 2001. "Modeling and algorithmic development of a staff scheduling problem," European Journal of Operational Research, Elsevier, vol. 128(3), pages 558-569, February.

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