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

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

European Journal of Operational Research, 2015, vol. 245, issue 1, 70-80

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.

Keywords: Project scheduling; Resource leveling; Dantzig–Wolfe decomposition; Integer programming; Branch-price-and-cut (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:245:y:2015:i:1:p:70-80

DOI: 10.1016/j.ejor.2015.02.043

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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