A Benders decomposition approach for a real case supply chain network design with capacity acquisition and transporter planning: wheat distribution network

This paper considers a real case problem of supply chain network design inspired from a wheat distribution network in Iran. It generates a network with capacity acquisition and fleet management. The problem first is formulated as a mixed integer linear programming model. Then, a logic-based Benders...

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Vydáno v:	Annals of operations research Ročník 291; číslo 1-2; s. 685 - 705
Hlavní autoři:	Naderi, Bahman, Govindan, Kannan, Soleimani, Hamed
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.08.2020 Springer Springer Nature B.V
Témata:	Algorithms Benders decomposition Business and Management Case studies Combinatorics Decomposition Distribution management Fleet management Integer programming Linear programming Logistics Management research Methods Mixed integer Network design Operations research Operations Research/Decision Theory S.I.: RealCaseOR Supply chains Theory of Computation Wheat Wheat industry Iran Benders cut Logic-based Benders decomposition algorithm Transporter planning Supply chain network design Mathematical model
ISSN:	0254-5330, 1572-9338
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Abstract	This paper considers a real case problem of supply chain network design inspired from a wheat distribution network in Iran. It generates a network with capacity acquisition and fleet management. The problem first is formulated as a mixed integer linear programming model. Then, a logic-based Benders decomposition algorithm is appropriately developed as the solution methodology. In the presented algorithm, the problem is decomposed into two models of master and subproblem. The master problem is improved by means of the preprocessing and valid inequalities. Moreover, three Benders cuts, one optimality and two feasibility cuts, are developed for the algorithm. The general and relative performance of the model and algorithm is experimentally evaluated. The wheat distribution system of Iran is considered here as the case study of this research. The model is developed based on Iran’s wheat distribution system. All the results show that the algorithm significantly outperforms the mathematical model of the case study. For example, the algorithm solves 95% of the tested instances to optimality, yet the model solves 29%.
AbstractList	This paper considers a real case problem of supply chain network design inspired from a wheat distribution network in Iran. It generates a network with capacity acquisition and fleet management. The problem first is formulated as a mixed integer linear programming model. Then, a logic-based Benders decomposition algorithm is appropriately developed as the solution methodology. In the presented algorithm, the problem is decomposed into two models of master and subproblem. The master problem is improved by means of the preprocessing and valid inequalities. Moreover, three Benders cuts, one optimality and two feasibility cuts, are developed for the algorithm. The general and relative performance of the model and algorithm is experimentally evaluated. The wheat distribution system of Iran is considered here as the case study of this research. The model is developed based on Iran's wheat distribution system. All the results show that the algorithm significantly outperforms the mathematical model of the case study. For example, the algorithm solves 95% of the tested instances to optimality, yet the model solves 29%.
Audience	Academic
Author	Naderi, Bahman Govindan, Kannan Soleimani, Hamed
Author_xml	– sequence: 1 givenname: Bahman surname: Naderi fullname: Naderi, Bahman organization: Department of Industrial Engineering, Faculty of Engineering, Kharazmi University, Department of Mechanical, Automotive, and Materials Engineering, Faculty of Engineering, University of Windsor – sequence: 2 givenname: Kannan surname: Govindan fullname: Govindan, Kannan email: kgov@iti.sdu.dk organization: Department of Technology and Innovation, Center for Sustainable Supply Chain Engineering, University of Southern Denmark – sequence: 3 givenname: Hamed surname: Soleimani fullname: Soleimani, Hamed organization: Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University
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Snippet	This paper considers a real case problem of supply chain network design inspired from a wheat distribution network in Iran. It generates a network with...
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SubjectTerms	Algorithms Benders decomposition Business and Management Case studies Combinatorics Decomposition Distribution management Fleet management Integer programming Linear programming Logistics Management research Methods Mixed integer Network design Operations research Operations Research/Decision Theory S.I.: RealCaseOR Supply chains Theory of Computation Wheat Wheat industry
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Title	A Benders decomposition approach for a real case supply chain network design with capacity acquisition and transporter planning: wheat distribution network
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