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Impact of dynamic flexible capacity on reverse logistics network design with environmental concerns

  • S.I. : OR for Sustainability in Supply Chain Management
  • Published:
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Abstract

In this paper, we propose a multi-objective reverse logistics network design model for multiple periods under uncertainty. The proposed model addresses the conflicting objectives of maximizing profit and minimizing carbon emissions in a reverse logistics network design problem. We conceptualize dynamic flexibility in capacity levels of different facilities in reverse logistics under multi-objective optimization setting. Our dynamic flexible capacity model allows the decision makers to increase or decrease the capacity levels of facilities in different periods. Augmented \(\varepsilon \)-constraint method is considered to solve the multi-objective optimization problem. Our analysis shows that the flexible capacity can improve the profit and reduce the carbon emission when compared with the fixed capacity case. Sensitivity analysis is carried out with respect to different costs and subsidies in the system to illustrate the robustness of the model. The analysis shows that the Pareto-frontiers associated with low cost and high subsidy dominate that of high cost and low subsidy, respectively. Results of the study suggest the need for providing flexible capacity levels in designing the reverse logistics network with environmental concerns for a better performance of reverse logistics.

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Notes

  1. Point 6 in the Pareto frontier in Fig. 1.

  2. In our dynamic flexible model, the highest level of capacity is set as the capacity level in the fixed capacity model. This is a logical assumption to ensure that the fixed capacity model is prepared with maximum possible capacity to operate in an uncertain demand scenario.

References

  • Agrawal, S., Singh, R. K., & Murtaza, Q. (2015). A literature review and perspectives in reverse logistics. Resources, Conservation and Recycling, 97, 76–92.

    Article  Google Scholar 

  • Alshamsi, A., & Diabat, A. (2015). A reverse logistics network design. Journal of Manufacturing Systems, 37, 589–598.

    Article  Google Scholar 

  • Alumur, S. A., Nickel, S., Saldanha-Da-Gama, F., & Verter, V. (2012). Multi-period reverse logistics network design. European Journal of Operational Research, 220(1), 67–78.

    Article  Google Scholar 

  • autorecyclingworldcom. (2021). Renault India announces partnership with cero recycling to support the new scrappage policy. https://autorecyclingworld.com/renault-india-announces-partnership-with-cero-recycling-to-support-the-new-scrappage-policy/.

  • Ayvaz, B., Bolat, B., & Aydın, N. (2015). Stochastic reverse logistics network design for waste of electrical and electronic equipment. Resources, Conservation and Recycling, 104, 391–404.

    Article  Google Scholar 

  • Bazan, E., Jaber, M., & Zanoni, S. (2016). A review of mathematical inventory models for reverse logistics and the future of its modeling: An environmental perspective. Applied Mathematical Modelling, 40(5), 4151–4178.

    Article  Google Scholar 

  • Cao, J., Lu, B., Chen, Y., Zhang, X., Zhai, G., Zhou, G., Jiang, B., & Schnoor, J. L. (2016). Extended producer responsibility system in china improves e-waste recycling: Government policies, enterprise, and public awareness. Renewable and Sustainable Energy Reviews, 62, 882–894.

    Article  Google Scholar 

  • De Rosa, V., Gebhard, M., Hartmann, E., & Wollenweber, J. (2013). Robust sustainable bi-directional logistics network design under uncertainty. International Journal of Production Economics, 145(1), 184–198.

    Article  Google Scholar 

  • Demirel, E., Demirel, N., & Gökçen, H. (2016). A mixed integer linear programming model to optimize reverse logistics activities of end-of-life vehicles in Turkey. Journal of Cleaner Production, 112, 2101–2113.

    Article  Google Scholar 

  • Demirel, N. Ö., & Gökçen, H. (2008). A mixed integer programming model for remanufacturing in reverse logistics environment. The International Journal of Advanced Manufacturing Technology, 39(11–12), 1197–1206.

    Article  Google Scholar 

  • European Union Directive (2012). European union weee directive 2012/19/eu. Retrieved May 06, 2020, from https://eur-lex.europa.eu/legal-content/EN/TXT/?uri=CELEX:02012L0019-20180704.

  • Fattahi, M., & Govindan, K. (2017). Integrated forward/reverse logistics network design under uncertainty with pricing for collection of used products. Annals of Operations Research, 253(1), 193–225.

    Article  Google Scholar 

  • Gonzalez-Torre, P. L., Adenso-Dıaz, B., & Artiba, H. (2004). Environmental and reverse logistics policies in European bottling and packaging firms. International Journal of Production Economics, 88(1), 95–104.

    Article  Google Scholar 

  • Govindan, K., Paam, P., & Abtahi, A. R. (2016). A fuzzy multi-objective optimization model for sustainable reverse logistics network design. Ecological Indicators, 67, 753–768.

    Article  Google Scholar 

  • Govindan, K., & Soleimani, H. (2017). A review of reverse logistics and closed-loop supply chains: A journal of cleaner production focus. Journal of Cleaner Production, 142, 371–384.

    Article  Google Scholar 

  • Intergovernmental Panel on Climate Change (IPCC). (2014). Climate change 2014: Mitigation of climate change. In: O. Edenhofer, R. Pichs-Madruga, Y. Sokona, E. Farahani, S. Kadner, K. Seyboth, A. Adler, I. Baum, S. Brunner, P. Eickemeier, B. Kriemann, J. Savolainen, S. Schlömer, C. von Stechow, T. Zwickel & J. C. Minx (Eds.), Contribution of working group III to the fifth assessment report of the intergovernmental panel on climate change. Cambridge University Press.

  • Jayaraman, V., Guide, V., Jr., & Srivastava, R. (1999). A closed-loop logistics model for remanufacturing. Journal of the Operational Research Society, 50(5), 497–508.

    Article  Google Scholar 

  • Jena, S. D., Cordeau, J. F., & Gendron, B. (2016). Solving a dynamic facility location problem with partial closing and reopening. Computers & Operations Research, 67, 143–154.

    Article  Google Scholar 

  • Jerbia, R., Boujelben, M. K., Sehli, M. A., & Jemai, Z. (2018). A stochastic closed-loop supply chain network design problem with multiple recovery options. Computers & Industrial Engineering, 118, 23–32.

    Article  Google Scholar 

  • John, S. T., Sridharan, R., Kumar, P. R., & Krishnamoorthy, M. (2018). Multi-period reverse logistics network design for used refrigerators. Applied Mathematical Modelling, 54, 311–331.

    Article  Google Scholar 

  • Joshi, B. V., Vipin, B., Ramkumar, J., & Amit, R. K. (2021). Impact of policy instruments on lead-acid battery recycling: A system dynamics approach. Resources, Conservation and Recycling, 169, 105528.

    Article  Google Scholar 

  • Kannan, D., Diabat, A., Alrefaei, M., Govindan, K., & Yong, G. (2012). A carbon footprint based reverse logistics network design model. Resources, Conservation and Recycling, 67, 75–79.

    Article  Google Scholar 

  • Kannan, G., Sasikumar, P., & Devika, K. (2010). A genetic algorithm approach for solving a closed loop supply chain model: A case of battery recycling. Applied Mathematical Modelling, 34(3), 655–670.

    Article  Google Scholar 

  • Martí, J. M. C., Tancrez, J. S., & Seifert, R. W. (2015). Carbon footprint and responsiveness trade-offs in supply chain network design. International Journal of Production Economics, 166, 129–142.

    Article  Google Scholar 

  • Mavrotas, G. (2009). Effective implementation of the \(\varepsilon \)-constraint method in multi-objective mathematical programming problems. Applied Mathematics and Computation, 213(2), 455–465.

    Article  Google Scholar 

  • Melo, M. T., Nickel, S., & Saldanha-Da-Gama, F. (2006). Dynamic multi-commodity capacitated facility location: A mathematical modeling framework for strategic supply chain planning. Computers & Operations Research, 33(1), 181–208.

    Article  Google Scholar 

  • Ministry of Environment, Forest and Climate Change. (2018). E-waste (management) amendment rules. Retrieved May 06, 2020, from http://www.indiaenvironmentportal.org.in/content/453310/e-waste-management-amendment-rules-2018/.

  • Mishra, S., & Singh, S.P. (2020a). Designing dynamic reverse logistics network for post-sale service. Annals of Operations Research (forthcoming).

  • Mishra, S., Singh, S.P. (2020b). A stochastic disaster-resilient and sustainable reverse logistics model in big data environment. Annals of Operations Research (forthcoming)

  • Mohan, T. V. K., & Amit, R. K. (2020). Dismantlers’ dilemma in end-of-life vehicle recycling markets: A system dynamics model. Annals of Operations Research, 290, 591–619.

    Article  Google Scholar 

  • Nash, J., & Bosso, C. (2013). Extended producer responsibility in the United States. Journal of Industrial Ecology, 17(2), 175–185.

    Article  Google Scholar 

  • Park, J., Hong, S., Kim, I., Lee, J., & Hur, T. (2011). Dynamic material flow analysis of steel resources in korea. Resources, Conservation and Recycling, 55(4), 456–462.

    Article  Google Scholar 

  • Pishvaee, M. S., & Razmi, J. (2012). Environmental supply chain network design using multi-objective fuzzy mathematical programming. Applied Mathematical Modelling, 36(8), 3433–3446.

    Article  Google Scholar 

  • Pishvaee, M. S., & Torabi, S. A. (2010). A possibilistic programming approach for closed-loop supply chain network design under uncertainty. Fuzzy Sets and Systems, 161(20), 2668–2683.

    Article  Google Scholar 

  • Rahimi, M., & Ghezavati, V. (2018). Sustainable multi-period reverse logistics network design and planning under uncertainty utilizing conditional value at risk (cvar) for recycling construction and demolition waste. Journal of Cleaner Production, 172, 1567–1581.

    Article  Google Scholar 

  • Rathore, P., Kota, S., & Chakrabarti, A. (2011). Sustainability through remanufacturing in India: A case study on mobile handsets. Journal of Cleaner Production, 19(15), 1709–1722.

    Article  Google Scholar 

  • Richa, K., Babbitt, C. W., Gaustad, G., & Wang, X. (2014). A future perspective on lithium-ion battery waste flows from electric vehicles. Resources, Conservation and Recycling, 83, 63–76.

    Article  Google Scholar 

  • Rosa, P., & Terzi, S. (2018). Improving end of life vehicle’s management practices: An economic assessment through system dynamics. Journal of Cleaner Production, 184, 520–536.

    Article  Google Scholar 

  • Solvang, W. D., & Yu, H. (2018). Incorporating flexible capacity in the planning of a multi-product multi-echelon sustainable reverse logistics network under uncertainty. Journal of Cleaner Production, 198, 285–303.

    Article  Google Scholar 

  • Stock, J. R., & Mulki, J. P. (2009). Product returns processing: An examination of practices of manufacturers, wholesalers/distributors, and retailers. Journal of Business Logistics, 30(1), 33–62.

    Article  Google Scholar 

  • Tao, Z. G., Guang, Z. Y., Hao, S., Song, H. J., & Xin, D. G. (2015). Multi-period closed-loop supply chain network equilibrium with carbon emission constraints. Resources, Conservation and Recycling, 104, 354–365.

    Article  Google Scholar 

  • Üster, H., Easwaran, G., Akçali, E., & Çetinkaya, S. (2007). Benders decomposition with alternative multiple cuts for a multi-product closed-loop supply chain network design model. Naval Research Logistics (NRL), 54(8), 890–907.

    Article  Google Scholar 

  • Wang, X., Gaustad, G., Babbitt, C. W., & Richa, K. (2014). Economies of scale for future lithium-ion battery recycling infrastructure. Resources, Conservation and Recycling, 83, 53–62.

    Article  Google Scholar 

  • www.epa.gov. Global greenhouse gas emissions data. Retrieved May 31, 2021, from https://www.epa.gov/ghgemissions/global-greenhouse-gas-emissions-data.

  • Xu, Z., Pokharel, S., Elomri, A., & Mutlu, F. (2017). Emission policies and their analysis for the design of hybrid and dedicated closed-loop supply chains. Journal of Cleaner Production, 142, 4152–4168.

    Article  Google Scholar 

  • Yu, H., & Solvang, W. D. (2017). A carbon-constrained stochastic optimization model with augmented multi-criteria scenario-based risk-averse solution for reverse logistics network design under uncertainty. Journal of Cleaner Production, 164, 1248–1267.

    Article  Google Scholar 

  • Zarbakhshnia, N., Kannan, D., Kiani Mavi, R., & Soleimani, H. (2020). A novel sustainable multi-objective optimization model for forward and reverse logistics system under demand uncertainty. Annals of Operations Research, 295(2), 843–880.

    Article  Google Scholar 

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Shukla, M., Vipin, B. & Sengupta, R.N. Impact of dynamic flexible capacity on reverse logistics network design with environmental concerns. Ann Oper Res (2022). https://doi.org/10.1007/s10479-022-04565-y

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