A Bi-Objective Stochastic Closed-loop Supply
Chain Network Design Problem Considering
Downside Risk
Amir Mohammad Fathollahi Fard
Department of Industrial Engineering, University of Science and Technology of Mazandaran, Behshahr, Iran
Fatemeh Gholian-Jouybari
Department of Industrial Engineering, Shomal University, Amol, Iran
Mohammad Mahdi Paydar
Department of Industrial Engineering, Babol Noshirvani University of Technology, Babol, Iran
Mostafa Hajiaghaei-Keshteli*
Department of Industrial Engineering, University of Science and Technology of Mazandaran, Behshahr, Iran
(Received: February 02, 2017 / Revised: March 26, 2017 / Accepted: May 01, 2017)
ABSTRACT
This paper deals with a closed-loop supply chain network and proposes new approaches in metaheuristics and exact
methods as solution methods. Moreover, the downside risk is incorporated into the objective functions as a risk meas-
ure. Hence, the developed two-stage stochastic model aims to minimize the expected total cost and the downside risk,
simultaneously. Besides, this study presents the closed-loop network which considers the forward and reverse net-
works in an integrated manner. In the forward network, this case just considers the forward network, while, the reverse
logistic fully focused on the backward network by considering recovering centers (i.e. from recovering centers to re-
manufacture, recycling and disposal centers). In order to address the problem, ICA, PSO, GA, and also ߝ-constraint
method, are utilized. In addition, the parameters of algorithms are tuned by Response Surface Method (RSM) with an
MODM approach. To explain the efficiency and effectiveness of methods, four assessment metrics are introduced. At
the end, the results show the capability of ICA through the most of the tests problem. According to the risk manage-
ment, a real data set is used to do some sensitivity analyses on the proposed model.
Keywords: Two-Stage Stochastic Programming, Closed-Loop Supply Chain, Downside Risk Consideration,
ߝ-Constraint method
* Corresponding Author, E-mail: mostafahaji@mazust.ac.ir
1. INTRODUCTION
Nowadays, designing an efficient supply chain is
seemed essential to develop a successful business model.
Researchers have defined the Supply Chain (SC) configu-
ration as follows “an integrated system of facilities and
activities consisting business functions of material pro-
curement, material transformation to final products and
also the distribution of these products to the end users”
(Nourmohamadi Shalke et al., 2017). Besides, Supply
Chain Management (SCM) forms some special approaches
to product and to distribute the activity planning in different
Industrial Engineering
& Management Systems
Vol 16, No 3, September 2017, pp.342-362 https://doi.org/10.7232/iems.2017.16.3.342
ISSN 1598-7248│EISSN 2234-6473│ © 2017 KIIE