A robust capacitated lot sizing problem with setup times and overtime decisions with backordering allowed under demand uncertainty

被引:8
|
作者
Abdel-Aal, Mohammad A. M. [1 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Syst Engn, Dhahran 31261, Saudi Arabia
来源
IFAC PAPERSONLINE | 2019年 / 52卷 / 13期
关键词
Lot-sizing; Production; Uncertain demand; Robust optimization; Budgeted uncertainty; Multi-period; Multi-products; Mixed integer linear programming; STRATEGY; MODELS;
D O I
10.1016/j.ifacol.2019.11.223
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This research work considers the multi-product multi-period capacitated lot-sizing problem with setup times and overtime with backordering allowed (CLSPSTOB) under demand uncertainty by means of a budget-uncertainty set robust optimization We first present a mixed integer linear programming (MILP) model that describes the deterministic CLSPSTOB with production costs, setup costs, inventory holding costs, backordering costs, and overtime costs. Then, a robust optimization approach is applied to deal with the demand uncertainty with unknown probability distribution, and a robust counterpart model based on duality theory is obtained. Some numerical experiments are presented for the robust capacitated lot-sizing problem with setup times and overtime with backordering allowed (RCLSPSTOB). (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:589 / 594
页数:6
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