IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v257y2017i1d10.1007_s10479-016-2219-z.html
   My bibliography  Save this article

Multi-objective fuzzy mathematical modelling of closed-loop supply chain considering economical and environmental factors

Author

Listed:
  • Anil Jindal

    (Birla Institute of Technology and Science)

  • Kuldip Singh Sangwan

    (Birla Institute of Technology and Science)

Abstract

The growing concern for sustainability has forced the researchers and managers to incorporate the environmental and social factors along with the economical factors in the design of supply chains. This paper presents the design and optimization of a multi-objective closed-loop supply chain considering the economical and environmental factors with uncertainty in parameters. The proposed network is modeled as fuzzy multi-objective mixed integer linear programming problem considering multi-customer zones, multi-collection centers, multi-disassembly centers, multi-refurbishing centers, multi-external suppliers, and different product recovery processes; to take care for purchasing cost, transportation cost, processing cost, set-up cost, and capacity constraints simultaneously. The model is solved using an interactive $$\upvarepsilon $$ ε -constraint method. A case example is solved using LINGO 14.0 to demonstrate the significance and applicability of the developed fuzzy optimization model for closed-loop supply chain.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:257:y:2017:i:1:d:10.1007_s10479-016-2219-z
    DOI: 10.1007/s10479-016-2219-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-016-2219-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-016-2219-z?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. Mehrdad Mehrbod & Nan Tu & Lixin Miao & Dai Wenjing, 2012. "Interactive fuzzy goal programming for a multi-objective closed-loop logistics network," Annals of Operations Research, Springer, vol. 201(1), pages 367-381, December.
    2. 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.
    3. 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.
    4. Aras, Necati & Aksen, Deniz, 2008. "Locating collection centers for distance- and incentive-dependent returns," International Journal of Production Economics, Elsevier, vol. 111(2), pages 316-333, February.
    5. V. Daniel R. Guide & Vaidyanathan Jayaraman & Rajesh Srivastava & W. C. Benton, 2000. "Supply-Chain Management for Recoverable Manufacturing Systems," Interfaces, INFORMS, vol. 30(3), pages 125-142, June.
    6. Listes, Ovidiu & Dekker, Rommert, 2005. "A stochastic approach to a case study for product recovery network design," European Journal of Operational Research, Elsevier, vol. 160(1), pages 268-287, January.
    7. Anil Jindal & Kuldip Singh Sangwan, 2013. "Development of an interpretive structural model of drivers for reverse logistics implementation in Indian industry," International Journal of Business Performance and Supply Chain Modelling, Inderscience Enterprises Ltd, vol. 5(4), pages 325-342.
    8. Qiang, Qiang & Ke, Ke & Anderson, Trisha & Dong, June, 2013. "The closed-loop supply chain network with competition, distribution channel investment, and uncertainties," Omega, Elsevier, vol. 41(2), pages 186-194.
    9. 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.
    10. Jimenez, Mariano & Arenas, Mar & Bilbao, Amelia & Rodri'guez, M. Victoria, 2007. "Linear programming with fuzzy parameters: An interactive method resolution," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1599-1609, March.
    11. Li, Yongjian & Chen, Jian & Cai, Xiaoqiang, 2007. "Heuristic genetic algorithm for capacitated production planning problems with batch processing and remanufacturing," International Journal of Production Economics, Elsevier, vol. 105(2), pages 301-317, February.
    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. 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.
    14. 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.
    15. Wei, Cansheng & Li, Yongjian & Cai, Xiaoqiang, 2011. "Robust optimal policies of production and inventory with uncertain returns and demand," International Journal of Production Economics, Elsevier, vol. 134(2), pages 357-367, December.
    16. Joseph Sarkis & Marilyn Michelle Helms & Aref A. Hervani, 2010. "Reverse logistics and social sustainability," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 17(6), pages 337-354, November.
    17. Brandenburg, Marcus & Govindan, Kannan & Sarkis, Joseph & Seuring, Stefan, 2014. "Quantitative models for sustainable supply chain management: Developments and directions," European Journal of Operational Research, Elsevier, vol. 233(2), pages 299-312.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wang, Qiang & Jiang, Feng & Li, Rongrong, 2022. "Assessing supply chain greenness from the perspective of embodied renewable energy – A data envelopment analysis using multi-regional input-output analysis," Renewable Energy, Elsevier, vol. 189(C), pages 1292-1305.
    2. 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).
    3. Mohd Hilmi Hasan & Jafreezal Jaafar & Junzo Watada & Mohd Fadzil Hassan & Izzatdin Abdul Aziz, 2021. "An interval type-2 fuzzy model of compliance monitoring for quality of web service," Annals of Operations Research, Springer, vol. 300(2), pages 415-441, May.
    4. Mohebalizadehgashti, Fatemeh & Zolfagharinia, Hossein & Amin, Saman Hassanzadeh, 2020. "Designing a green meat supply chain network: A multi-objective approach," International Journal of Production Economics, Elsevier, vol. 219(C), pages 312-327.
    5. Zahra Homayouni & Mir Saman Pishvaee & Hamed Jahani & Dmitry Ivanov, 2023. "A robust-heuristic optimization approach to a green supply chain design with consideration of assorted vehicle types and carbon policies under uncertainty," Annals of Operations Research, Springer, vol. 324(1), pages 395-435, May.
    6. Mohsen Tehrani & Surendra M. Gupta, 2021. "Designing a Sustainable Green Closed-Loop Supply Chain under Uncertainty and Various Capacity Levels," Logistics, MDPI, vol. 5(2), pages 1-31, April.
    7. Xin Zhang & Gang Zhao & Yingxiu Qi & Botang Li, 2019. "A Robust Fuzzy Optimization Model for Closed-Loop Supply Chain Networks Considering Sustainability," Sustainability, MDPI, vol. 11(20), pages 1-24, October.
    8. Oylum S¸eker & Mucahit Cevik & Merve Bodur & Young Lee & Mark Ruschin, 2023. "A Multiobjective Approach for Sector Duration Optimization in Stereotactic Radiosurgery Treatment Planning," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 248-264, January.
    9. Saedinia, R. & Vahdani, Behnam & Etebari, F. & Afshar Nadjafi, B., 2019. "Robust gasoline closed loop supply chain design with redistricting, service sharing and intra-district service transfer," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 123(C), pages 121-141.
    10. Simonetto, Marco & Sgarbossa, Fabio & Battini, Daria & Govindan, Kannan, 2022. "Closed loop supply chains 4.0: From risks to benefits through advanced technologies. A literature review and research agenda," International Journal of Production Economics, Elsevier, vol. 253(C).
    11. Masoud Alinezhad & Iraj Mahdavi & Milad Hematian & Erfan Babaee Tirkolaee, 2022. "A fuzzy multi-objective optimization model for sustainable closed-loop supply chain network design in food industries," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(6), pages 8779-8806, June.
    12. YoungSu Yun & Anudari Chuluunsukh & Mitsuo Gen, 2020. "Sustainable Closed-Loop Supply Chain Design Problem: A Hybrid Genetic Algorithm Approach," Mathematics, MDPI, vol. 8(1), pages 1-19, January.
    13. Jyoti Dhingra Darbari & Devika Kannan & Vernika Agarwal & P. C. Jha, 2019. "Fuzzy criteria programming approach for optimising the TBL performance of closed loop supply chain network design problem," Annals of Operations Research, Springer, vol. 273(1), pages 693-738, February.
    14. Seyed Mahmoud Zanjirchi & Mina Rezaeian Abrishami & Negar Jalilian, 2019. "Four decades of fuzzy sets theory in operations management: application of life-cycle, bibliometrics and content analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(3), pages 1289-1309, June.
    15. Xintong Zhang & Yuncai Ning & Cuijie Lu, 2022. "Evaluation of Coal Supply and Demand Security in China and Associated Obstacle Factors," Sustainability, MDPI, vol. 14(17), pages 1-25, August.
    16. Yeo, Lip Siang & Tiang, Celine Wei Ping & Teng, Sin Yong & Ng, Wendy Pei Qin & Lim, Chun Hsion & Leong, Wei Dong & Lam, Hon Loong & Sunarso, Jaka & How, Bing Shen, 2023. "Rethinking circularity with Re-refineries and supply chains reintegration via multi-objective pareto graph theoretical approach," Energy, Elsevier, vol. 279(C).
    17. Miguel Ortiz-Barrios & Juan Cabarcas-Reyes & Alessio Ishizaka & Maria Barbati & Natalia Jaramillo-Rueda & Giovani Jesús Carrascal-Zambrano, 2021. "A hybrid fuzzy multi-criteria decision making model for selecting a sustainable supplier of forklift filters: a case study from the mining industry," Annals of Operations Research, Springer, vol. 307(1), pages 443-481, December.
    18. Manju Saroha & Dixit Garg & Sunil Luthra, 2022. "Analyzing the circular supply chain management performance measurement framework: the modified balanced scorecard technique," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 951-960, June.

    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. 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.
    2. 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.
    3. Xuehong Gao, 2019. "A Novel Reverse Logistics Network Design Considering Multi-Level Investments for Facility Reconstruction with Environmental Considerations," Sustainability, MDPI, vol. 11(9), pages 1-22, May.
    4. 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.
    5. 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.
    6. 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.
    7. Yongbo Li & Devika Kannan & P. C. Jha & Kiran Garg & Jyoti Darbari & Neha Agarwal, 2023. "Design of a multi echelon product recovery embeded reverse logistics network for multi products and multi periods," Annals of Operations Research, Springer, vol. 323(1), pages 131-152, April.
    8. 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.
    9. Majdi Argoubi & Haifa Jammeli & Hatem Masri, 2020. "The intellectual structure of the waste management field," Annals of Operations Research, Springer, vol. 294(1), pages 655-676, November.
    10. 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.
    11. 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.
    12. Eskandarpour, Majid & Zegordi, Seyed Hessameddin & Nikbakhsh, Ehsan, 2013. "A parallel variable neighborhood search for the multi-objective sustainable post-sales network design problem," International Journal of Production Economics, Elsevier, vol. 145(1), pages 117-131.
    13. 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.
    14. 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).
    15. Vahab Vahdat & Mohammad Ali Vahdatzad, 2017. "Accelerated Benders’ Decomposition for Integrated Forward/Reverse Logistics Network Design under Uncertainty," Logistics, MDPI, vol. 1(2), pages 1-21, December.
    16. Bhattacharya, Sourabh & Govindan, Kannan & Ghosh Dastidar, Surajit & Sharma, Preeti, 2024. "Applications of artificial intelligence in closed-loop supply chains: Systematic literature review and future research agenda," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 184(C).
    17. Zhalechian, M. & Tavakkoli-Moghaddam, R. & Zahiri, B. & Mohammadi, M., 2016. "Sustainable design of a closed-loop location-routing-inventory supply chain network under mixed uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 182-214.
    18. 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.
    19. Hamed Soleimani & Prem Chhetri & Amir M. Fathollahi-Fard & S. M. J. Mirzapour Al-e-Hashem & Shahrooz Shahparvari, 2022. "Sustainable closed-loop supply chain with energy efficiency: Lagrangian relaxation, reformulations and heuristics," Annals of Operations Research, Springer, vol. 318(1), pages 531-556, November.
    20. Shi, Jianmai & Chen, Wenyi & Verter, Vedat, 2023. "The joint impact of environmental awareness and system infrastructure on e-waste collection," European Journal of Operational Research, Elsevier, vol. 310(2), pages 760-772.

    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:spr:annopr:v:257:y:2017:i:1:d:10.1007_s10479-016-2219-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.