Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 234324, 23 pages
Research Article

Designing a Supply Chain Network under the Risk of Disruptions

1Department of Industrial Engineering, Iran University of Science and Technology, 16846113114 Tehran, Iran
2Department of Industrial Engineering, Amirkabir University of Technology, 158754413 Tehran, Iran

Received 23 August 2011; Accepted 19 December 2011

Academic Editor: Andrzej Swierniak

Copyright © 2012 Armin Jabbarzadeh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper studies a supply chain design problem with the risk of disruptions at facilities. At any point of time, the facilities are subject to various types of disruptions caused by natural disasters, man-made defections, and equipment breakdowns. We formulate the problem as a mixed-integer nonlinear program which maximizes the total profit for the whole system. The model simultaneously determines the number and location of facilities, the subset of customers to serve, the assignment of customers to facilities, and the cycle-order quantities at facilities. In order to obtain near-optimal solutions with reasonable computational requirements for large problem instances, two solution methods based on Lagrangian relaxation and genetic algorithm are developed. The effectiveness of the proposed solution approaches is shown using numerical experiments. The computational results, in addition, demonstrate that the benefits of considering disruptions in the supply chain design model can be significant.