An enhanced L-Shaped method for optimizing periodic-review inventory control problems modeled via two-stage stochastic programming

Research output: Contribution to journalArticleScientificpeer-review


Research units

  • Pontifícia Universidade Católica do Rio de Janeiro


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.


Original languageEnglish
Pages (from-to)677-693
Number of pages17
JournalEuropean Journal of Operational Research
Issue number2
Early online date1 Jan 2018
Publication statusPublished - 1 Jun 2019
MoE publication typeA1 Journal article-refereed

    Research areas

  • Inventory control, L-Shaped method, Partial backordering, Stochastic programming, Uncertain demand

ID: 30560650