IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v48y2012i6p1152-1168.html
   My bibliography  Save this article

Reliable design of a forward/reverse logistics network under uncertainty: A robust-M/M/c queuing model

Author

Listed:
  • Vahdani, Behnam
  • Tavakkoli-Moghaddam, Reza
  • Modarres, Mohammad
  • Baboli, Armand

Abstract

This paper presents a novel model for designing a reliable network of facilities in closed-loop supply chain under uncertainty. For this purpose, a bi-objective mathematical programming formulation is developed which minimizes the total costs and the expected transportation costs after failures of facilities of a logistics network. To solve the model, a new hybrid solution methodology is introduced by combining robust optimization approach, queuing theory and fuzzy multi-objective programming. Computational experiments are provided for a number of test problems using a realistic network instance.

Suggested Citation

  • Vahdani, Behnam & Tavakkoli-Moghaddam, Reza & Modarres, Mohammad & Baboli, Armand, 2012. "Reliable design of a forward/reverse logistics network under uncertainty: A robust-M/M/c queuing model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1152-1168.
  • Handle: RePEc:eee:transe:v:48:y:2012:i:6:p:1152-1168
    DOI: 10.1016/j.tre.2012.06.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554512000555
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2012.06.002?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lee, Der-Horng & Dong, Meng, 2009. "Dynamic network design for reverse logistics operations under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(1), pages 61-71, January.
    2. Min, Hokey & Jeung Ko, Hyun & Seong Ko, Chang, 2006. "A genetic algorithm approach to developing the multi-echelon reverse logistics network for product returns," Omega, Elsevier, vol. 34(1), pages 56-69, January.
    3. Aras, Necati & Aksen, Deniz & Gönül Tanugur, Ayse, 2008. "Locating collection centers for incentive-dependent returns under a pick-up policy with capacitated vehicles," European Journal of Operational Research, Elsevier, vol. 191(3), pages 1223-1240, December.
    4. Pati, Rupesh Kumar & Vrat, Prem & Kumar, Pradeep, 2008. "A goal programming model for paper recycling system," Omega, Elsevier, vol. 36(3), pages 405-417, June.
    5. Salema, Maria Isabel Gomes & Barbosa-Povoa, Ana Paula & Novais, Augusto Q., 2007. "An optimization model for the design of a capacitated multi-product reverse logistics network with uncertainty," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1063-1077, June.
    6. Wang, Juite & Shu, Yun-Feng, 2007. "A possibilistic decision model for new product supply chain design," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1044-1061, March.
    7. Sheu, Jiuh-Biing & Chou, Yi-Hwa & Hu, Chun-Chia, 2005. "An integrated logistics operational model for green-supply chain management," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(4), pages 287-313, July.
    8. Yang, Guang-fen & Wang, Zhi-ping & Li, Xiao-qiang, 2009. "The optimization of the closed-loop supply chain network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(1), pages 16-28, January.
    9. Lee, Der-Horng & Dong, Meng, 2008. "A heuristic approach to logistics network design for end-of-lease computer products recovery," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(3), pages 455-474, May.
    10. Lee, Der-Horng & Dong, Meng & Bian, Wen, 2010. "The design of sustainable logistics network under uncertainty," International Journal of Production Economics, Elsevier, vol. 128(1), pages 159-166, November.
    11. Barros, A. I. & Dekker, R. & Scholten, V., 1998. "A two-level network for recycling sand: A case study," European Journal of Operational Research, Elsevier, vol. 110(2), pages 199-214, October.
    12. Aharon Ben-Tal & Boaz Golany & Arkadi Nemirovski & Jean-Philippe Vial, 2005. "Retailer-Supplier Flexible Commitments Contracts: A Robust Optimization Approach," Manufacturing & Service Operations Management, INFORMS, vol. 7(3), pages 248-271, February.
    13. Vladimir Marianov & Daniel Serra, 2000. "Location models for airline hubs behaving as M/D/c queues," Economics Working Papers 453, Department of Economics and Business, Universitat Pompeu Fabra.
    14. V Jayaraman & V D R Guide & R Srivastava, 1999. "A closed-loop logistics model for remanufacturing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(5), pages 497-508, May.
    15. Stefan Seuring, 2004. "Industrial ecology, life cycles, supply chains: differences and interrelations," Business Strategy and the Environment, Wiley Blackwell, vol. 13(5), pages 306-319, September.
    16. Jayaraman, Vaidyanathan & Patterson, Raymond A. & Rolland, Erik, 2003. "The design of reverse distribution networks: Models and solution procedures," European Journal of Operational Research, Elsevier, vol. 150(1), pages 128-149, October.
    17. Frank Schultmann & Bernd Engels & Otto Rentz, 2003. "Closed-Loop Supply Chains for Spent Batteries," Interfaces, INFORMS, vol. 33(6), pages 57-71, December.
    18. Lawrence V. Snyder & Mark S. Daskin, 2005. "Reliability Models for Facility Location: The Expected Failure Cost Case," Transportation Science, INFORMS, vol. 39(3), pages 400-416, August.
    19. Kenné, Jean-Pierre & Dejax, Pierre & Gharbi, Ali, 2012. "Production planning of a hybrid manufacturing–remanufacturing system under uncertainty within a closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 135(1), pages 81-93.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Schweiger, Katharina & Sahamie, Ramin, 2013. "A hybrid Tabu Search approach for the design of a paper recycling network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 98-119.
    2. Diabat, Ali & Kannan, Devika & Kaliyan, Mathiyazhagan & Svetinovic, Davor, 2013. "An optimization model for product returns using genetic algorithms and artificial immune system," Resources, Conservation & Recycling, Elsevier, vol. 74(C), pages 156-169.
    3. Melo, M.T. & Nickel, S. & Saldanha-da-Gama, F., 2009. "Facility location and supply chain management - A review," European Journal of Operational Research, Elsevier, vol. 196(2), pages 401-412, July.
    4. Agrawal, Saurabh & Singh, Rajesh K. & Murtaza, Qasim, 2015. "A literature review and perspectives in reverse logistics," Resources, Conservation & Recycling, Elsevier, vol. 97(C), pages 76-92.
    5. Rahman, Shams & Subramanian, Nachiappan, 2012. "Factors for implementing end-of-life computer recycling operations in reverse supply chains," International Journal of Production Economics, Elsevier, vol. 140(1), pages 239-248.
    6. Ayvaz, Berk & Bolat, Bersam & Aydın, Nezir, 2015. "Stochastic reverse logistics network design for waste of electrical and electronic equipment," Resources, Conservation & Recycling, Elsevier, vol. 104(PB), pages 391-404.
    7. Felix T.S. Chan & Nan Li & S.H. Chung & Mozafar Saadat, 2017. "Management of sustainable manufacturing systems-a review on mathematical problems," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 1210-1225, February.
    8. Aksen, Deniz & Aras, Necati & Karaarslan, Ayse Gönül, 2009. "Design and analysis of government subsidized collection systems for incentive-dependent returns," International Journal of Production Economics, Elsevier, vol. 119(2), pages 308-327, June.
    9. Anil Jindal & Kuldip Singh Sangwan, 2017. "Multi-objective fuzzy mathematical modelling of closed-loop supply chain considering economical and environmental factors," Annals of Operations Research, Springer, vol. 257(1), pages 95-120, October.
    10. Mohammad Fattahi & Kannan Govindan, 2017. "Integrated forward/reverse logistics network design under uncertainty with pricing for collection of used products," Annals of Operations Research, Springer, vol. 253(1), pages 193-225, June.
    11. Yuxiang Yang & Zuqing Huang & Qiang Patrick Qiang & Gengui Zhou, 2017. "A Mathematical Programming Model with Equilibrium Constraints for Competitive Closed-Loop Supply Chain Network Design," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(05), pages 1-31, October.
    12. Govindan, Kannan & Soleimani, Hamed & Kannan, Devika, 2015. "Reverse logistics and closed-loop supply chain: A comprehensive review to explore the future," European Journal of Operational Research, Elsevier, vol. 240(3), pages 603-626.
    13. De Rosa, Vincenzo & Gebhard, Marina & Hartmann, Evi & Wollenweber, Jens, 2013. "Robust sustainable bi-directional logistics network design under uncertainty," International Journal of Production Economics, Elsevier, vol. 145(1), pages 184-198.
    14. Van Engeland, Jens & Beliën, Jeroen & De Boeck, Liesje & De Jaeger, Simon, 2020. "Literature review: Strategic network optimization models in waste reverse supply chains," Omega, Elsevier, vol. 91(C).
    15. Diabat, Ali & Jebali, Aida, 2021. "Multi-product and multi-period closed loop supply chain network design under take-back legislation," International Journal of Production Economics, Elsevier, vol. 231(C).
    16. Vidovic, Milorad & Dimitrijevic, Branka & Ratkovic, Branislava & Simic, Vladimir, 2011. "A novel covering approach to positioning ELV collection points," Resources, Conservation & Recycling, Elsevier, vol. 57(C), pages 1-9.
    17. Alumur, Sibel A. & Nickel, Stefan & Saldanha-da-Gama, Francisco & Verter, Vedat, 2012. "Multi-period reverse logistics network design," European Journal of Operational Research, Elsevier, vol. 220(1), pages 67-78.
    18. Cardoso, Sónia R. & Barbosa-Póvoa, Ana Paula F.D. & Relvas, Susana, 2013. "Design and planning of supply chains with integration of reverse logistics activities under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 226(3), pages 436-451.
    19. Kilic, Huseyin Selcuk & Cebeci, Ufuk & Ayhan, Mustafa Batuhan, 2015. "Reverse logistics system design for the waste of electrical and electronic equipment (WEEE) in Turkey," Resources, Conservation & Recycling, Elsevier, vol. 95(C), pages 120-132.
    20. Pradip K. Bhaumik, 2015. "Supply Chain Network Design Based on Integration of Forward and Reverse Logistics," Global Business Review, International Management Institute, vol. 16(4), pages 680-699, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transe:v:48:y:2012:i:6:p:1152-1168. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.