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Multiple choice programming: an APL approach

Published: 15 July 1992 Publication History

Abstract

In this paper, we introduce a set of APL code for the optimization in multiple choice programming using the special-ordered-set branch-and-bound procedure incorporating the partitioning strategy of weighted-mean method.

References

[1]
Beale, E. M. L. and Tomlin, j. A., "Special Facilities in A General Mathematical Programming System for Non-Convex Problems Using Ordered Sets of Variables", Proceedings of the Fifth FORS Conference, pp. 447-454 (1970).
[2]
Dantzig, G. B. and Van Slyke, R. M., "Generalized Upper Bounding Technique", Journal of Computer and System Sciences 1, pp. 213-226 (1967).
[3]
Escudero, L. F., Applied Numerical Modeling, Prentech Press, London, pp. 535-550 (1979).
[4]
Geoffrion, A. M. and Marsten, R. E., "Integer Programming Algorithms: A Rramework and State-of-the-Art Survey", Management Science 18, pp. 465-491 (1972).
[5]
Gomery, R. E., "An Algorithm for the Mixed Integer Problem", RM-2579, The RAND Corporation, Santa Monica, California (1960).
[6]
Healey, W. C. " Multiple Choice Programming ", Operations Research 12, pp. 122-138 (1964),.
[7]
Snyder, R. D. "Linear Programming with Special Ordered Sets", journal of Operations Research Society 35, pp. 69-74 (1984),.
[8]
Tomlin, J. A., "Branch-and-Bound Methods for Integer and Non-Convex Programming", Integer and Nonlinear Programming, North-Holland, pp. 437-450 (1970)

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Information & Contributors

Information

Published In

cover image ACM SIGAPL APL Quote Quad
ACM SIGAPL APL Quote Quad  Volume 23, Issue 1
July 1992
309 pages
ISSN:0163-6006
DOI:10.1145/144052
Issue’s Table of Contents
  • cover image ACM Conferences
    APL '92: Proceedings of the international conference on APL
    July 1992
    326 pages
    ISBN:0897914775
    DOI:10.1145/144045

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 15 July 1992
Published in SIGAPL Volume 23, Issue 1

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