Document Type : Original Article

Authors

1 Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran.

2 School of Mathematics and Statistics, University of Melbourne, Melbourne, Parkville, VIC 3010, Australia.

3 Faculty of Industrial Engineering and Management Systems, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran.

4 Charlton College of Business, University of Massachusetts, Dartmouth, USA.

10.22116/jiems.2020.215206.1330

Abstract

This paper addresses a novel two-stage model for a Sustainable Closed-Loop Supply Chain (SCLSC). This model, as a contribution, provides a balance among economic aims, environmental concerns, and social responsibilities based on price, green quality, and advertising level. Therefore, in the first stage, the optimal values of price are derived by considering the optimal level of advertising and greening. After that, in the second stage, multi-objective Mixed-Integer Linear Programming (MOMILP) is extended to calculate Pareto solutions. The objectives are include maximizing the profit of the whole chain, minimizing the environmental impacts due to CO2 emissions, and maximizing employee safety. Besides, a Lagrangian relaxation algorithm is developed based on the weighted-sum method to solve the MOMILP model. The findings demonstrate that the proposed two-stage model can simultaneously cope with coordination decisions and sustainable objectives. The results show that the optimal price of the recovered product equals 75% of the new product price which considerably encourages customers to buy it. Moreover, to solve the MOMILP model, the proposed algorithm can reach to exact bound with an efficiency gap of 0.17% compared to the optimal solution. Due to the use of this algorithm, the solution time of large-scale instances is reduced and simplified by an average of 49% in comparison with the GUROBI solver. 

Keywords

Alamdar, S. F., Rabbani, M., and Heydari, J., (2018). "Pricing, collection, and effort decisions with coordination contracts in a fuzzy, three-level closed-loop supply chain", Expert Systems with Applications, Vol. 104, pp. 261-276.
Ansari, Z. N., and Kant, R., (2017). "A state-of-art literature review reflecting 15 years of focus on sustainable supply chain management", Journal of cleaner production, Vol. 142, pp. 2524-2543.
Badi, S., and Murtagh, N., (2019). "Green supply chain management in construction: A systematic literature review and future research agenda", Journal of Cleaner Production, Vol. 223, pp. 312-322.
Behrooz, K., Hamed, S., Soheil, S., and Mehdi, S.M., (2020). "Revenue management in a multi-level multi-channel supply chain considering pricing, greening, and advertising decisions", Journal of Retailing and Consumer Services, Vol. 59.
Chatzikontidou, A., Longinidis, P., Tsiakis, P., and Georgiadis, M.C., (2017). "Flexible supply chain network design under uncertainty", Chemical Engineering Research and Design, Vol. 128, pp. 290-305.
Diabat, A., Jabbarzadeh, A., and Khosrojerdi, A., (2019). "A perishable product supply chain network design problem with reliability and disruption considerations", International Journal of Production Economics212, 125-138.
Fisher, M.L., (2004). "The Lagrangian relaxation method for solving integer programming problems", Management science, Vol. 50(12_supplement), pp. 1861-1871.
Govindan, K., and Soleimani, H., (2017). "A review of reverse logistics and closed-loop supply chains: a Journal of Cleaner Production focus", Journal of Cleaner Production, Vol. 142, pp. 371-384.
Haddad-Sisakht, A., and Ryan, S.M., (2018). "Closed-loop supply chain network design with multiple transportation modes under stochastic demand and uncertain carbon tax", International Journal of Production Economics, Vol. 195, pp. 118-131.
Heydari, J., Govindan, K., and Aslani, A., (2018). "Pricing and greening decisions in a three-tier dual channel supply chain", International Journal of Production Economics.
Hong, Z., and Guo, X., (2019). "Green product supply chain contracts considering environmental responsibilities", Omega, Vol. 83, pp. 155-166.
Hussain, M., Khan, M., and Al-Aomar, R., (2016). "A framework for supply chain sustainability in service industry with Confirmatory Factor Analysis", Renewable and Sustainable Energy Reviews, Vol. 55, pp. 1301-1312.
Jahani, H., Abbasi, B., Alavifard, F., and Talluri, S., (2018). "Supply chain network redesign with demand and price uncertainty", International Journal of Production Economics, Vol. 205, pp. 287-312.
Khorshidvand, B., Soleimani, H., Sibdari, S., and Esfahani, M.M.S., (2021). "A hybrid modeling approach for green and sustainable closed-loop supply chain considering price, advertisement and uncertain demands", Computers and Industrial Engineering, Vol. 157, 107326.
Khorshidvand, B., Soleimani, H., Sibdari, S., and Esfahani, M.M.S., (2021). "Developing a two-stage model for a sustainable closed-loop supply chain with pricing and advertising decisions", Journal of Cleaner Production, Vol. 309, 127165.
Lu, S., Zhu, L., Wang, Y., Xie, L., and Su, H., (2020). "Integrated forward and reverse logistics network design for a hybrid assembly-recycling system under uncertain return and waste flows: A fuzzy multi-objective programming", Journal of Cleaner Production, Vol. 243, 118591.
Madani, S. R., and Rasti-Barzoki, M., (2017). "Sustainable supply chain management with pricing, greening and governmental tariffs determining strategies: A game-theoretic approach", Computers and Industrial Engineering, Vol. 105, pp. 287-298.
Mardani, A., Kannan, D., Hooker, R.E., Ozkul, S., Alrasheedi, M., and Tirkolaee, E.B., (2020). "Evaluation of green and sustainable supply chain management using structural equation modelling: A systematic review of the state of the art literature and recommendations for future research", Journal of Cleaner Production, Vol. 249, 119383.
Mavrotas, G., (2009). "Effective implementation of the ε-constraint method in multi-objective mathematical programming problems", Applied mathematics and computation, Vol. 213, No. 2, pp. 455-465.
Mohammed, A.M., and Duffuaa, S.O., (2020). "A Tabu search based algorithm for the optimal design of multi-objective multi-product supply chain networks", Expert Systems with Applications, Vol. 140, 112808.
Ranjan, A., and Jha, J.K., (2019). "Pricing and coordination strategies of a dual-channel supply chain considering green quality and sales effort", Journal of Cleaner Production, Vol. 218, pp. 409-424.
Raza, S.A., and Govindaluri, S.M., (2019). "Greening and price differentiation coordination in a supply chain with partial demand information and cannibalization", Journal of Cleaner Production, Vol. 229, pp. 706-726.
Sauer, P.C., and Seuring, S., (2019). "Extending the reach of multi-tier sustainable supply chain management–Insights from mineral supply chains", International Journal of Production Economics, Vol. 217, pp. 31-43.
Soleimani, H., Govindan, K., Saghafi, H., and Jafari, H., (2017). "Fuzzy multi-objective sustainable and green closed-loop supply chain network design", Computers and Industrial Engineering, Vol. 109, pp. 191-203.
Soleimani, H., and Kannan, G., (2015). "A hybrid particle swarm optimization and genetic algorithm for closed-loop supply chain network design in large-scale networks", Applied Mathematical Modelling, Vol. 39, No. 14, pp. 3990-4012.
Taleizadeh, A.A., Haghighi, F., and Niaki, S.T.A., (2019). "Modeling and solving a sustainable closed loop supply chain problem with pricing decisions and discounts on returned products", Journal of cleaner production, Vol. 207, pp. 163-181.
Talluri, K.T., and Van Ryzin, G.J., (2006). The theory and practice of revenue management (Vol. 68). Springer Science & Business Media.
Wang, Y., Wang, Z., Li, B., Liu, Z., Zhu, X., and Wang, Q., (2019a). "Closed-loop supply chain models with product recovery and donation", Journal of Cleaner Production, Vol. 227, pp. 861-876.
Xiang, X., Liu, C., and Miao, L., (2017). "A bi-objective robust model for berth allocation scheduling under uncertainty", Transportation Research Part E: Logistics and Transportation Review, Vol. 106, pp. 294-319.
Zhen, L., Wu, Y., Wang, S., Hu, Y., and Yi, W., (2018). "Capacitated closed-loop supply chain network design under uncertainty", Advanced Engineering Informatics, Vol. 38, pp. 306-315.
Zhen, L., Huang, L., and Wang, W., (2019). "Green and sustainable closed-loop supply chain network design under uncertainty", Journal of Cleaner Production, Vol. 227, pp. 1195-1209.