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Direct Search Algorithms for Zero-One and Mixed-Integer Programming

Author

Listed:
  • Carlton E. Lemke

    (IBM Corporation, New York, New York)

  • Kurt Spielberg

    (IBM Corporation, New York, New York)

Abstract

A method of solution for the mixed integer-programming problem is proposed. It is based on an exhaustive search of the integer variables, coupled with an efficient use of the product form of the basis matrix inverse, for the linear programming calculations. In this connection a detailed algorithm for the (0 − 1) problem is developed and experimental results are discussed.

Suggested Citation

  • Carlton E. Lemke & Kurt Spielberg, 1967. "Direct Search Algorithms for Zero-One and Mixed-Integer Programming," Operations Research, INFORMS, vol. 15(5), pages 892-914, October.
    • Handle: RePEc:inm:oropre:v:15:y:1967:i:5:p:892-914
    DOI: 10.1287/opre.15.5.892
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    Cited by:

    1. Ellis Johnson, 2007. "My experiences as a student and researcher in OR during the 1960’s and 70’s," Annals of Operations Research, Springer, vol. 149(1), pages 121-135, February.
    2. Monique Guignard & Ellis Johnson & Kurt Spielberg, 2005. "Logical Processing for Integer Programming," Annals of Operations Research, Springer, vol. 140(1), pages 263-304, November.
    3. Balaji Gopalakrishnan & Ellis. Johnson, 2005. "Airline Crew Scheduling: State-of-the-Art," Annals of Operations Research, Springer, vol. 140(1), pages 305-337, November.
    4. Andrey Novoselov & Ivan Potravnyy & IRINA NOVOSELOVA & Katherine Yeshia Chavez Ferreyra, 2018. "The Mechanism to Implement Environmental Investment Projects on the Basis of Equity Financing," Economy of region, Centre for Economic Security, Institute of Economics of Ural Branch of Russian Academy of Sciences, vol. 1(4), pages 1488-1497.
    5. Arnaud Fréville & SaÏd Hanafi, 2005. "The Multidimensional 0-1 Knapsack Problem—Bounds and Computational Aspects," Annals of Operations Research, Springer, vol. 139(1), pages 195-227, October.
    6. Laszlo Ladanyi & Jon Lee & Robin Lougee-Heimer, 2005. "Rapid Prototyping of Optimization Algorithms Using COIN-OR: A Case Study Involving the Cutting-Stock Problem," Annals of Operations Research, Springer, vol. 139(1), pages 243-265, October.

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