Table of Contents
ISRN Industrial Engineering
Volume 2014, Article ID 163637, 12 pages
Research Article

Production Scheduling and Customer Orders Assignment in a Three-Level Supply Chain

1South Branch of Islamic Azad University, School of Industrial Engineering, Kafaee Amani Street, Gerami Street, Enghelab Avenue, Tehran 1151863411, Iran
2Kharazmi University, Daneshgah Square, Shahid Beheshti Avenue, Karaj 3197937551, Iran

Received 27 September 2013; Accepted 23 November 2013; Published 28 January 2014

Academic Editors: T. F. Espino-Rodriguez and C.-C. Wu

Copyright © 2014 F. Sadeghi Naieni Fard 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.


In the classical production-distribution centers problem, only assignment of customers, distribution centers, and suppliers is determined. This paper extends the problem of production-distribution centers assignment by considering sequencing decisions in the supply network. Nowadays, meeting delivery time of products is a competitive benefit; therefore, the objective is to minimize total tardiness. This problem is mathematically formulated by a mixed integer programming model. Then, using the proposed model, small instances of the problem can be optimally solved by GAMS software. Moreover, two metaheuristics based on variable neighborhood search and simulated annealing are proposed to solve large instances of the problem. Finally, performance of the proposed metaheuristics is evaluated by two sets of balanced and unbalanced instances. The computational results show the superiority of the variable neighborhood search algorithm.