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Valid inequalities for proportional lot-sizing and scheduling problem with fictitious microperiods

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  • Kaczmarczyk, Waldemar

Abstract

This paper presents new extended formulations of mixed-integer linear programming (mip) models for small bucket problems. Such problems allow for one machine set-up operation at most during each time period. To ensure a high-quality solution despite this restrictive assumption, real periods (macroperiods) are usually split into several short fictitious microperiods with non-zero demand only at the end of the last microperiod of each macroperiod. The proposed model formulations are based on two properties of such a demand pattern. First, within each macroperiod, it is useful to have one start-up for each product at most. Second, the sequence of lots within a macroperiod has only negligible impact on solution quality, especially for short microperiods.

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  • Kaczmarczyk, Waldemar, 2020. "Valid inequalities for proportional lot-sizing and scheduling problem with fictitious microperiods," International Journal of Production Economics, Elsevier, vol. 219(C), pages 236-247.
    • Handle: RePEc:eee:proeco:v:219:y:2020:i:c:p:236-247
    DOI: 10.1016/j.ijpe.2019.06.005
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