A Straight Priority-Based Genetic Algorithm for a Logistics Network
RAIRO - Operations Research - Recherche Opérationnelle, New challenges in scheduling theory, Tome 49 (2015) no. 2, pp. 243-264.

Closed-loop logistics (forward and reverse logistics) has received increased attention of late due to customer expectations, greater environmental concerns, and economic aspects. Unlike previous works, which consider single products or single periods in multi-objective function problems, this paper considers a multi-product multi-period closed-loop logistics network with regard to facility expansion as a facility location-allocation problem, which is closer to real-world scenarios. A multi-objective mixed integer nonlinear programming formulation is developed to minimize the total cost, the product delivery time, and the used product collection time. The model is linearized by defining new variables and adding new constraints to the model. Then, to solve the model, a priority-based genetic algorithm is proposed that uses straight encoding and decoding methods. To assess the performance of the above algorithm, its final solutions and CPU times are compared to those generated by an initial priority-based genetic algorithm from the recent literature and the lower bound obtained by CPLEX. The numerical results show that the straight priority-based genetic algorithm outperforms the initial priority-based genetic algorithm at least in terms of obtaining a reasonable quality of final solutions for closed-loop logistics problems.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2014032
Classification : 90B06
Mots-clés : Closed-loop logistics, multi-objective decision making, genetic algorithm, forward and reverse logistics
Mehrbod, Mehrdad 1 ; Xue, Zhaojie 2 ; Miao, Lixin 1 ; Lin, Wei-Hua 3

1 Research Center for Modern Logistics, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, P.R. China.
2 Department of Transportation Engineering, College of Civil Engineering, Shenzhen University, 518060 Shenzhen, P.R. China.
3 Department of Systems and Industrial Engineering, The University of Arizona, AZ 85721 Tucson, USA.
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     title = {A {Straight} {Priority-Based} {Genetic} {Algorithm} for a {Logistics} {Network}},
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Mehrbod, Mehrdad; Xue, Zhaojie; Miao, Lixin; Lin, Wei-Hua. A Straight Priority-Based Genetic Algorithm for a Logistics Network. RAIRO - Operations Research - Recherche Opérationnelle, New challenges in scheduling theory, Tome 49 (2015) no. 2, pp. 243-264. doi : 10.1051/ro/2014032. http://archive.numdam.org/articles/10.1051/ro/2014032/

F. Altiparmak, M. Gen, L. Lin and I. Karaoglan, A steady-state genetic algorithm for multi-product supply chain network design. Comput. Ind. Engrg. 56 (2009) 521–537. | DOI

F. Altiparmak, M. Gen, L. Lin and T. Paksoy, A genetic algorithm approach for multi-objective optimization of supply chain networks. Comput. Ind. Engrg. 51 (2006) 196–215. | DOI

K. Deb et al. Multi-objective optimization using evolutionary algorithms, Vol. 2012. John Wiley & Sons Chichester (2001). 0970.90091

M. El.-Sayed, N. Afia and A. El.-Kharbotly, A stochastic model for forward–reverse logistics network design under risk. Comput. Ind. Engrg. 58 (2010) 423–431. | DOI

M. Gen, F. Altiparmak and L. Lin, A genetic algorithm for two-stage transportation problem using priority-based encoding. Or Spectrum 28 (2006) 337–354. | DOI | Zbl

M. Gen and R. Cheng, Genetic algorithms and engineering optimization, Vol. 7. John Wiley & Sons (2000).

M. Gen and Y. Li, Spanning tree-based genetic algorithm for the bicriteria fixed charge transportation problem, in Evolutionary Computation, 1999. CEC 99. Proceedings of the 1999 Congress on, Vol. 3. IEEE (1999).

V. Jayaraman, V.D.R. Guide Jr and R. Srivastava, A closed-loop logistics model for remanufacturing. J. Oper. Res. Soc. (1999) 497–508. | DOI | Zbl

Jakob Krarup and Peter Mark Pruzan. The simple plant location problem: survey and synthesis. Eur. J. Oper. Res. 12 (1983) 36–81. | DOI | Zbl

D.-Horng Lee, W. Bian and M. Dong, Multiobjective model and solution method for integrated forward and reverse logistics network design for third-party logistics providers. Transp. Res. Record: Journal of the Transportation Research Board 2032 (2007) 43–52. | DOI

O. Listeş, A generic stochastic model for supply-and-return network design. Comput. Oper. Res. 34 (2007) 417–442. | DOI | Zbl

A. Marín and B. Pelegrín, The return plant location problem: Modelling and resolution. Eur. J. Oper. Res. 104 (1998) 375–392. | DOI | Zbl

Z. Michalewicz, G.A. Vignaux and M. Hobbs, A nonstandard genetic algorithm for the nonlinear transportation problem. ORSA J. Comput. 3 (1991) 307–316. | DOI | Zbl

Tadahiko Murata, Hisao Ishibuchi and Hideo Tanaka. Multi-objective genetic algorithm and its applications to flowshop scheduling. Comput. Ind. Engrg. 30 (1996) 957–968. | DOI

M. Saman Pishvaee, R. Zanjirani Farahani and W. Dullaert, A memetic algorithm for bi-objective integrated forward/reverse logistics network design. Comput. Oper. Res. 37 (2010) 1100–1112. | DOI | Zbl

M. Saman Pishvaee, M. Rabbani and S. Ali Torabi, A robust optimization approach to closed-loop supply chain network design under uncertainty. Appl. Math. Modell. 35 (2011) 637–649. | DOI | Zbl

M.S. Pishvaee and S.A. Torabi, A possibilistic programming approach for closed-loop supply chain network design under uncertainty. Fuzzy Sets Syst. 161 (2010) 2668–2683. | DOI | Zbl

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