Accelerated Benders’ Decomposition for Integrated Forward/Reverse Logistics Network Design under Uncertainty

Logistics

Mohammad Ali Vahdatzad¹  Vahab Vahdat² 

[1] Department of Industrial Engineering, Yazd University, Yazd 89195-741, Iran;Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02114, USA;

关键词: integrated forward/reverse logistics network;    accelerated Benders’ Decomposition;    two-stage stochastic programming;    valid inequalities;   

DOI  :  10.3390/logistics1020011

来源: DOAJ

【 摘 要 】

In this paper, a two-stage stochastic programming modelling is proposed, to design a multi-period, multistage, and single-commodity integrated forward/reverse logistics network design problem under uncertainty. The problem involved both strategic and tactical decision levels. The first stage dealt with strategic decisions, which are the number, capacity, and location of forward and reverse facilities. In the second stage, tactical decisions, such as base stock level as an inventory policy, were determined. The generic introduced model consisted of suppliers, manufactures, and distribution centers in forward logistic and collection centers, remanufactures, redistribution, and disposal centers in reverse logistic. The strength of the proposed model is its applicability to various industries. The problem was formulated as a mixed-integer linear programming model and was solved by using Benders’ Decomposition (BD) approach. In order to accelerate the Benders’ decomposition, a number of valid inequalities were added to the master problem. The proposed accelerated BD was evaluated through small-, medium-, and large-sized test problems. Numerical results confirmed that the proposed solution algorithm improved the convergence of BD lower bound and the upper bound, enabling to reach an acceptable optimality gap in a convenient time.

【 授权许可】

Unknown