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MIP formulations for the resource loading problem

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Listed:
  • Song Guopeng
  • Roel Leus

Abstract

We study the resource loading problem, which arises in tactical capacity planning. It depicts a sketch of the usage of resources, and decides the execution intensity for the orders to be executed. We study various MIP formulations for this problem, including three time-indexed formulations and one based on Dantzig-Wolfe decomposition. The relaxation strength of the formulations is compared based on polyhedral analysis. Computational experiments for these formulations are also presented, showing their difference in performance for finding optimal integer solutions.

Suggested Citation

  • Song Guopeng & Roel Leus, 2018. "MIP formulations for the resource loading problem," Working Papers of Department of Decision Sciences and Information Management, Leuven 626339, KU Leuven, Faculty of Economics and Business (FEB), Department of Decision Sciences and Information Management, Leuven.
    • Handle: RePEc:ete:kbiper:626339
    Note: paper number KBI_1808
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    Keywords

    Capacity planning; Mixed integer programming; Time-indexed formulation; Dantzig-Wolfe decomposition; LP-relaxation;
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