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Reduction of bounded variables in integer linear programming problems

Author

Listed:
  • Abdelkrim Rezzag
  • Mohand Ouamer Bibi
  • Abdelhek Laouar

Abstract

In this paper, we suggest a new technique for reducing the number of variables in general integer linear programming problems with bounded variables. This technique involves fixing certain variables of the problem's optimal solution at one of their bounds, either lower or upper. A numerical illustrative example is presented, numerical experiments have been conducted to compare the execution time of the original problem with the execution time of the reduced problem and the presolving procedure.

Suggested Citation

  • Abdelkrim Rezzag & Mohand Ouamer Bibi & Abdelhek Laouar, 2025. "Reduction of bounded variables in integer linear programming problems," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 30(2), pages 251-265.
    • Handle: RePEc:ids:ijmore:v:30:y:2025:i:2:p:251-265
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