Skip to main content
Log in

An artificial intelligence approach for fuzzy possibilistic-stochastic multi-objective logistics network design

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

In this paper, a logistics network is investigated which includes multi-suppliers, collection centers, transfer stations, treatment stations, and products. For this purpose, a multi-objective mathematical programming model is proposed that minimizes the total costs including the fixed costs for opening facilities and transportation costs between facilities, minimizes the distance between each waste-generating facilities and transfer stations, maximizing the distance between treatment and disposal stations and customer zones, and maximizes the sum of the reliability of coverage for the potential facilities which will be open. In order to make the results of this paper more realistic, a case study in the iron and steel industry has been investigated. Besides, a new solution approach is proposed by combining fuzzy possibilistic programming, stochastic programming, and fuzzy multi-objective programming. Moreover, an imperialist competitive algorithm is proposed to obtain near optimal solution in comparison with other evolutionary algorithms. Finally, computational experiments are provided to demonstrate the applicability and suitability of the proposed model and solution approaches.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Atashpas-Gargari E, Lucas C (2007) Colonial competitive algorithm. Congress on Evolutionary Computation, CEC, Piscataway

    Google Scholar 

  2. Chiu MC, Teng LW (2013) Sustainable product and supply chain design decisions under uncertainties. Int J Precis Eng Manuf 14(11):1953–1960

    Article  Google Scholar 

  3. Guide VDR Jr, Wassenhove LNV (2009) The evolution of closed-loop supply chain research. Oper Res 57(1):10–18

    Article  MATH  Google Scholar 

  4. Hong X, Wang Z, Wang D, Zhang H (2013) Decision models of closed-loop supply chain with remanufacturing under hybrid dual-channel collection. Int J Adv Manuf Technol 68(5–8):1851–1865

    Article  Google Scholar 

  5. Jimenez M, Arenas M, Bilbao A, Rodriguez MV (2007) Linear programming with fuzzy parameters: an interactive method resolution. Eur J Oper Res 177:1599–1609

    Article  MATH  MathSciNet  Google Scholar 

  6. Kim Y (2013) Facility location for a hybrid manufacturing/remanufacturing system with carbon costs. Graduate theses and dissertations. Paper 13329

  7. Lai YJ, Hwang CL (1992) A new approach to some possibilistic linear programming problems. Fuzzy Sets Syst 49:121–133

    Article  MathSciNet  Google Scholar 

  8. Lee JE, Chung KY, Lee KD, Gen M (2013) A multi-objective hybrid genetic algorithm to minimize the total cost and delivery tardiness in a reverse logistics. Multimed Tools Appl. doi:10.1007/s11042-013-1594-6

    Google Scholar 

  9. Leung Y (1988) Spatial analysis and planning under imprecision (Studies in Regional Science and Urban Economics). Elsevier, Amsterdam

    Google Scholar 

  10. Liu D (2013) Network site optimization of reverse logistics for E-commerce based on genetic algorithm. Neural Comput Appl. doi:10.1007/s00521-013-1448-1

    Google Scholar 

  11. Liu L, Huang GH, Liu Y, Fuller GA, Zeng GM (2003) A fuzzy-stochastic robust programming model for regional air quality management under uncertainty. Eng Optim 35(2):177–199

    Article  MathSciNet  Google Scholar 

  12. Mehrbod M, Tu N, Miao L, Wenjing D (2012) Interactive fuzzy goal programming for a multi-objective closed-loop logistics network. Ann Oper Res 201(1):367–381

    Article  MATH  MathSciNet  Google Scholar 

  13. Mohammadi M, Jolai F, Rostami H (2011) An M/M/c queue model for hub covering location problem. Math Comput Model 54:2623–2638

    Article  MATH  MathSciNet  Google Scholar 

  14. Mousavi SM, Vahdani B, Tavakkoli-Moghaddam R, Hashemi H (2014) Location of cross-docking centers and vehicle routing scheduling under uncertainty: a fuzzy possibilistic–stochastic programming model. Appl Math Model 38(7–8):2249–2264

    Article  MathSciNet  Google Scholar 

  15. Pishvaee MS, Torabi SA (2010) A possibilistic programming approach for closed-loop supply chain network design under uncertainty. Fuzzy Sets Syst 161:2668–2683

    Article  MATH  MathSciNet  Google Scholar 

  16. Sabzevari Zadeh A, Sahraeian R, Homayouni SM (2014) A dynamic multi-commodity inventory and facility location problem in steel supply chain network design. Int J Adv Manuf Technoly 70(5–8):1267–1282

    Article  Google Scholar 

  17. Soleimani H, Seyyed-Esfahani M, Akbarpour Shirazi M (2013) Designing and planning a multi-echelon multi-period multi-product closed-loop supply chain utilizing genetic algorithm. The International Journal of Advanced Manufacturing Technology 68(1–4):917–931

    Article  Google Scholar 

  18. Soleimani H, Seyyed-Esfahani M, Akbarpour Shirazi M (2013) A new multi-criteria scenario-based solution approach for stochastic forward/reverse supply chain network design. Ann Oper Res. doi:10.1007/s10479-013-1435-z

    Google Scholar 

  19. Soyster AL (1973) Convex programming with set-inclusive constraints: applications to inexact linear programming. Oper Res 21:1154–1157

    Article  MATH  MathSciNet  Google Scholar 

  20. Torabi SA, Hassini E (2008) An interactive possibilistic programming approach for multiple objective supply chain master planning. Fuzzy Sets Syst 159:193–214

    Article  MATH  MathSciNet  Google Scholar 

  21. Vahdani B, Razmi J, Tavakkoli-Moghaddam R (2012) Fuzzy possibilistic modeling for closed loop recycling collection networks. Environ Model Assess 17(6):623–637

    Article  Google Scholar 

  22. Vahdani B, Tavakkoli-Moghaddam R, Jolai F, Baboli A (2012) Reliable design of a closed loop supply chain network under uncertainty: an interval fuzzy possibilistic chance-constrained model. Eng Optim. doi:10.1080/0305215X.2012.704029

    Google Scholar 

  23. Vahdani B, Tavakkoli-Moghaddam R, Modarres M, Baboli A (2012) Reliable design of a forward/reverse logistics network under uncertainty: a robust-M/M/c queuing model. Transp Res Part E 48(6):1152–1168

    Article  Google Scholar 

  24. Wang HF, Hsu HW (2012) A possibilistic approach to the modeling and resolution of uncertain closed-loop logistics. Fuzzy Optim Decis Making 11(2):177–208

    Article  MATH  MathSciNet  Google Scholar 

  25. Wang J, Shu YF (2007) A possibilistic decision model for new product supply chain design. Euro J Oper Res 177:1044–1061

  26. Zanjirani Farahani R, Hekmatfar M (2009) Facility location, concepts, models, algorithms and case studies. Springer, Berlin. doi:10.1007/978-3-7908-2151-2

  27. Zhang Y, Song S, Zhang H, Wu C, Yin W (2012) A hybrid genetic algorithm for two-stage multi-item inventory system with stochastic demand. Neural Comput Appl 21(6):1087–1098

    Article  Google Scholar 

  28. Zhou XC, Zhao ZX, Zhou KJ, He CH (2012) Remanufacturing closed-loop supply chain network design based on genetic particle swarm optimization algorithm. J Cent South Univ 19(2):482–487

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to acknowledge the partially financial support of Islamic Azad University, Qazvin Branch, Qazvin, Iran for this research.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Behnam Vahdani.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vahdani, B., Dehbari, S., Naderi-Beni, M. et al. An artificial intelligence approach for fuzzy possibilistic-stochastic multi-objective logistics network design. Neural Comput & Applic 25, 1887–1902 (2014). https://doi.org/10.1007/s00521-014-1679-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-014-1679-9

Keywords

Navigation