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Logical Processing for Integer Programming

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  • Monique Guignard
  • Ellis Johnson
  • Kurt Spielberg

Abstract

This paper reviews tools which have great potential for reducing the difficulty of solving IP (and also MIP) problems, if well implemented in solvers. Recent experiments with Branch and Bound solvers, in connection with “Short Start Features”, have shown that implementations need and can still be improved. Concepts which are likely to be specially important for (0,1) MIP are pointed out. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Monique Guignard & Ellis Johnson & Kurt Spielberg, 2005. "Logical Processing for Integer Programming," Annals of Operations Research, Springer, vol. 140(1), pages 263-304, November.
    • Handle: RePEc:spr:annopr:v:140:y:2005:i:1:p:263-304:10.1007/s10479-005-3974-4
    DOI: 10.1007/s10479-005-3974-4
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    References listed on IDEAS

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    1. 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.
    2. R. Lougee-Heimer & W. Adams, 2005. "A Conditional Logic Approach for Strengthening Mixed 0-1 Linear Programs," Annals of Operations Research, Springer, vol. 139(1), pages 289-320, October.
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    7. Jerrold Rubin, 1973. "A Technique for the Solution of Massive Set Covering Problems, with Application to Airline Crew Scheduling," Transportation Science, INFORMS, vol. 7(1), pages 34-48, February.
    8. C. E. Lemke & H. M. Salkin & K. Spielberg, 1971. "Set Covering by Single-Branch Enumeration with Linear-Programming Subproblems," Operations Research, INFORMS, vol. 19(4), pages 998-1022, August.
    9. Michel L. Balinski, 1961. "Fixed‐cost transportation problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 8(1), pages 41-54, March.
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    11. Fisher, M.L. & Nemhauser, G.L. & Wolsey, L.A., 1978. "An analysis of approximations for maximizing submodular set functions," LIDAM Reprints CORE 341, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    15. Guignard, Monique & Ryu, Choonho & Spielberg, Kurt, 1998. "Model tightening for integrated timber harvest and transportation planning," European Journal of Operational Research, Elsevier, vol. 111(3), pages 448-460, December.
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    Cited by:

    1. L. Foulds & B. Toklu & J. Wilson, 2009. "Modelling either-or relations in integer programming," Annals of Operations Research, Springer, vol. 166(1), pages 203-222, February.
    2. Escudero Bueno, Laureano F. & Garín Martín, María Araceli & Merino Maestre, María & Pérez Sainz de Rozas, Gloria, 2011. "A parallelizable algorithmic framework for solving large scale multi-stage stochastic mixed 0-1 problems under uncertainty," BILTOKI 1134-8984, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística).

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