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A theoretical study of two-period relaxations for lot-sizing problems with big-bucket capacities

Akartunali, Kerem and Doostmohammadi, Mahdi and Fragkos, Ioannis (2015) A theoretical study of two-period relaxations for lot-sizing problems with big-bucket capacities. In: International Workshop on Lot-Sizing, 2015-08-24 - 2015-08-26, University of Montreal, HEC.

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In this paper, we study two-period subproblems proposed by Akartunali et al. (2015) for lot-sizing problems with big-bucket capacities and nonzero setup times, complementing our previous work investigating the special case of zero setup times. In particular, we study the polyhedral structure of the mixed integer sets related to various two-period relaxations. We derive several families of valid inequalities and investigate their facet-defining conditions. We also discuss the separation problems associated with these valid inequalities.