Robust Optimization for a Bi-Objective Green Closed-Loop Supply Chain with Heterogeneous Transportation System and Presorting Consideration

Essam Kaoud (), Mohammad A. M. Abdel-Aal, Tatsuhiko Sakaguchi and Naoki Uchiyama
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Essam Kaoud: Department of Mechanical Engineering, Toyohashi University of Technology, Toyohashi 441-8580, Japan
Mohammad A. M. Abdel-Aal: Industrial and Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Tatsuhiko Sakaguchi: Department of Informatics, Faculty of Engineering, Kindai University, Higashi-Hiroshima 739-2116, Japan
Naoki Uchiyama: Department of Mechanical Engineering, Toyohashi University of Technology, Toyohashi 441-8580, Japan

Sustainability, 2022, vol. 14, issue 16, 1-23

Abstract: In this study, we propose a robust bi-objective optimization model of the green closed-loop supply chain network considering presorting, a heterogeneous transportation system, and carbon emissions. The proposed model is an uncertain bi-objective mixed-integer linear optimization model that maximizes profit and minimizes carbon emissions by considering uncertain costs, selling price, and carbon emissions. The robust optimization approach is implemented using the combined interval and polyhedral, “Interval+ Polyhedral,” uncertainty set to develop the robust counterpart of the proposed model. Robust Pareto optimal solutions are obtained using a lexicographic weighted Tchebycheff optimization approach of the bi-objective model. Intensive computational experiments are conducted and a robust Pareto optimal front is obtained with a probability guarantee that the constraints containing uncertain parameters are not violated (constraint satisfaction).

Keywords: green closed-loop supply chain; bi-objective; robust optimization; carbon emissions; lexicographic weighted Tchebycheff; probability of constraint violation (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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