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A branch-price-and-cut algorithm for multi-mode resource leveling

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  • Coughlan, Eamonn T.
  • Lübbecke, Marco E.
  • Schulz, Jens

Abstract

We propose a new mixed integer programming formulation and solution algorithm for a multi-mode resource-constrained project scheduling problem with availability constraints (calendars) and the objective to minimize the resource availability cost. Our model exploits the problem structure and has an exponential number of variables, which necessitates a column generation approach. The linear programming relaxation is strengthened by adding valid inequalities that need to be carefully separated in order to show the desired effect. Integer optimal solutions are obtained by an exact state-of-the-art branch-price-and-cut algorithm.

Suggested Citation

  • Coughlan, Eamonn T. & Lübbecke, Marco E. & Schulz, Jens, 2015. "A branch-price-and-cut algorithm for multi-mode resource leveling," European Journal of Operational Research, Elsevier, vol. 245(1), pages 70-80.
    • Handle: RePEc:eee:ejores:v:245:y:2015:i:1:p:70-80
    DOI: 10.1016/j.ejor.2015.02.043
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    References listed on IDEAS

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    Cited by:

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    3. Ciancio, Claudio & Laganá, Demetrio & Vocaturo, Francesca, 2018. "Branch-price-and-cut for the Mixed Capacitated General Routing Problem with Time Windows," European Journal of Operational Research, Elsevier, vol. 267(1), pages 187-199.
    4. Kreter, Stefan & Schutt, Andreas & Stuckey, Peter J. & Zimmermann, Jürgen, 2018. "Mixed-integer linear programming and constraint programming formulations for solving resource availability cost problems," European Journal of Operational Research, Elsevier, vol. 266(2), pages 472-486.
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    6. Patrick Gerhards, 2020. "The multi-mode resource investment problem: a benchmark library and a computational study of lower and upper bounds," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(4), pages 901-933, December.
    7. Bersch, Christopher V. & Akkerman, Renzo & Kolisch, Rainer, 2021. "Strategic planning of new product introductions: Integrated planning of products and modules in the automotive industry," Omega, Elsevier, vol. 105(C).

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