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Reducing the complexity of the knapsack linear integer problem by reformulation techniques

Author

Listed:
  • Elias Munapo

    (North West University)

  • Santosh Kumar

    (RMIT University
    University of Melbourne)

Abstract

The paper presents reformulation techniques to reduce the complexity of a knapsack linear integer problem. Reformulation significantly reduces the number of standard branch and bound sub-problems required to verify optimality. Computational results of the various technique are given to compare the number of branch and bound iterations on some selected knapsack linear integer problems before and after the reformulation.

Suggested Citation

  • Elias Munapo & Santosh Kumar, 2021. "Reducing the complexity of the knapsack linear integer problem by reformulation techniques," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(6), pages 1087-1093, December.
    • Handle: RePEc:spr:ijsaem:v:12:y:2021:i:6:d:10.1007_s13198-021-01232-6
    DOI: 10.1007/s13198-021-01232-6
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    References listed on IDEAS

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    Cited by:

    1. Elias Munapo & Joshua Chukwuere & Trust Tawanda, 2023. "Solving Linear Integer Models with Variable Bounding," Forecasting, MDPI, vol. 5(2), pages 1-10, May.

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