This paper presents the development of an enhanced L-Shaped method applied to an inventory management problem that considers a replenishment control system based on the periodic review (R, S) policy. We consider single-item one-echelon problems with uncertain demands and partial backorder that are modeled using two-stage stochastic programming. To enable the consideration of large-scale problems, the classical single-cut L-Shaped method and its extended multi-cut form were initially applied. Preliminary computational results indicated that the classical L-Shaped method outperformed its multi-cut counterpart, even though the former required more iterations to converge to the optimal solution. This observation inspired the development of the techniques presented for enhancing the L-Shape method, which consist of the combination of a novel acceleration technique with an efficient formulation and valid inequalities for the proposed model. Numerical experiments suggest that the proposed approach significantly reduced the computational time required to solve large-scale problems.
|Julkaisu||European Journal of Operational Research|
|Varhainen verkossa julkaisun päivämäärä||1 tammikuuta 2018|
|DOI - pysyväislinkit|
|Tila||Julkaistu - 1 kesäkuuta 2019|
|OKM-julkaisutyyppi||A1 Julkaistu artikkeli, soviteltu|