Modified metaheuristic algorithms to design a closed-loop supply chain network considering quantity discount and fixed-charge transportation

•Applying quantity discount and transportation fixed cost together for the first time in a closed-loop supply chain.•Application of eight basic and modified algorithms for the new NP-hard model.•Application of Taguchi method to calibrate the proposed algorithms' parameters and operators.•Develo...

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Vydané v:Expert systems with applications Ročník 202; s. 117364
Hlavní autori: Chaharmahali, Golara, Ghandalipour, Davoud, Jasemi, Milad, Molla-Alizadeh-Zavardehi, Saber
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Elsevier Ltd 15.09.2022
Elsevier BV
Predmet:
Algorithms
Closed-loop supply chain
Design modifications
Evolutionary computation
Fixed-charge transportation
Heuristic methods
Modified metaheuristic algorithm
Operating costs
Quantity discount
Supply chains
Taguchi method
Taguchi methods
Transportation
Quantity discount
Fixed-charge transportation
Closed-loop supply chain
Modified metaheuristic algorithm
Taguchi method
ISSN:0957-4174, 1873-6793
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Shrnutí:•Applying quantity discount and transportation fixed cost together for the first time in a closed-loop supply chain.•Application of eight basic and modified algorithms for the new NP-hard model.•Application of Taguchi method to calibrate the proposed algorithms' parameters and operators.•Development of a modified backtracking search algorithm and a modified differential evolution algorithm.•Suggesting some meta-heuristic algorithms with considerably good performances. Discount is an efficient way to reduce the closed-loop supply chain costs, and applying it would make the model closer to real ones. In this paper, the quantity discount is firstly applied along with fixed and variable transportation costs. The application of well-known, efficient algorithms, alongside developing modified versions to address the developed model is another contribution of this study. To calibrate the proposed algorithms’ parameters and operators, the Taguchi method is used. In this regard, several test problems in different sizes are generated considering the concerns of real-world cases, and the algorithms’ efficiencies are investigated by the relative percentage deviation method. The results show the superior performance of the hybrid algorithm of modified differential evolution and restart mechanism (MDE_Restart) and the algorithm of modified differential evolution (MDE) compared to the other employed algorithms.
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ISSN:0957-4174
1873-6793
DOI:10.1016/j.eswa.2022.117364