How to cite this paper
Amalnick, M & Saffar, M. (2017). A new fuzzy mathematical model for green supply chain network design.International Journal of Industrial Engineering Computations , 8(1), 45-70.
Refrences
Amin, S. H., & Zhang, G. (2013). A multi-objective facility location model for closed-loop supply chain network under uncertain demand and return. Applied Mathematical Modelling, 37(6), 4165-4176.
Amiri, A. (2006). Designing a distribution network in a supply chain system: Formulation and efficient solution procedure. European Journal of Operational Research, 171(2), 567-576.
Aras, N., & Aksen, D. (2008). Locating collection centers for distance-and incentive-dependent returns. International Journal of Production Economics, 111(2), 316-333.
Barros, A. I., Dekker, R., & Scholten, V. (1998). A two-level network for recycling sand: a case study. European Journal of Operational Research, 110(2), 199-214.
Chaabane, A., Ramudhin, A., & Paquet, M. (2012). Design of sustainable supply chains under the emission trading scheme. International Journal of Production Economics, 135(1), 37-49.
Dekker, R., & Fleischmann, M. (Eds.). (2004). Reverse logistics: quantitative models for closed-loop supply chains. Springer.
Du, F., & Evans, G. W. (2008). A bi-objective reverse logistics network analysis for post-sale service. Computers & Operations Research, 35(8), 2617-2634.
Ehrgott, M. (2005). Multicriteria optimization (Vol. 2). Berlin: Springer.
El-Sayed, M., Afia, N., & El-Kharbotly, A. (2010). A stochastic model for forward–reverse logistics network design under risk. Computers & Industrial Engineering, 58(3), 423-431.
Fleischmann, M., Beullens, P., Bloemhof-Ruwaard, J. M., & Wassenhove, L. N. (2001). The impact of product recovery on logistics network design. Production and Operations Management, 10(2), 156-173.
Fleischmann, M., Bloemhof-Ruwaard, J. M., Dekker, R., Van der Laan, E., Van Nunen, J. A., & Van Wassenhove, L. N. (1997). Quantitative models for reverse logistics: a review. European Journal of Operational Research, 103(1), 1-17.
Fonseca, M. C., García-Sánchez, Á., Ortega-Mier, M., & Saldanha-da-Gama, F. (2010). A stochastic bi-objective location model for strategic reverse logistics. Top, 18(1), 158-184.
Frota Neto, J. Q., Bloemhof-Ruwaard, J. M., Van Nunen, J. A. E. E., & Van Heck, E. (2008). Designing and evaluating sustainable logistics networks. International Journal of Production Economics, 111(2), 195-208.
Hanson, J. J., & Hitchcock, R. W. (2009, September). Towards sustainable design for single-use medical devices. In Engineering in Medicine and Biology Society, 2009. EMBC 2009. Annual International Conference of the IEEE (pp. 5602-5605). IEEE.
Hugo, A., & Pistikopoulos, E. N. (2005). Environmentally conscious long-range planning and design of supply chain networks. Journal of Cleaner Production, 13(15), 1471-1491.
Hwang, C. L., Masud, A. S. M., Paidy, S. R., & Yoon, K. P. (1979). Multiple objective decision making, methods and applications: a state-of-the-art survey (Vol. 164). Berlin: Springer.
Ilgin, M. A., & Gupta, S. M. (2010). Environmentally conscious manufacturing and product recovery (ECMPRO): a review of the state of the art. Journal of Environmental Management, 91(3), 563-591.
Jayaraman, V., Guide Jr, V. D. R., & Srivastava, R. (1999). A closed-loop logistics model for remanufacturing. Journal of the operational research society, 50(5), 497-508.
Jayaraman, V., Patterson, R. A., & Rolland, E. (2003). The design of reverse distribution networks: models and solution procedures. European Journal of Operational Research, 150(1), 128-149.
Jiménez, M., Arenas, M., & Bilbao, A. (2007). Linear programming with fuzzy parameters: an interactive method resolution. European Journal of Operational Research, 177(3), 1599-1609.
Klibi, W., Martel, A., & Guitouni, A. (2010). The design of robust value-creating supply chain networks: a critical review. European Journal of Operational Research, 203(2), 283-293.
Ko, H. J., & Evans, G. W. (2007). A genetic algorithm-based heuristic for the dynamic integrated forward/reverse logistics network for 3PLs. Computers & Operations Research, 34(2), 346-366.
Krikke, H. R., van Harten, A., & Schuur, P. C. (1999). Business case Oce: reverse logistic network re-design for copiers. OR-Spektrum, 21(3), 381-409.
Lai, Y. J., & Hwang, C. L. (1992). A new approach to some possibilistic linear programming problems. Fuzzy Sets and Systems, 49(2), 121-133.
Lai, Y. J., & Hwang, C. L. (1993). Possibilistic linear programming for managinginterest rate risk. Fuzzy Sets and Systems, 54(2), 135-146.
Lee, D. H., & Dong, M. (2008). A heuristic approach to logistics network design for end-of-lease computer products recovery. Transportation Research Part E: Logistics and Transportation Review, 44(3), 455-474.
Lee, J. E., Gen, M., & Rhee, K. G. (2009). Network model and optimization of reverse logistics by hybrid genetic algorithm. Computers & Industrial Engineering, 56(3), 951-964.
Li, X. Q., Zhang, B., & Li, H. (2006). Computing efficient solutions to fuzzy multiple objective linear programming problems. Fuzzy Sets and Systems, 157(10), 1328-1332.
Linton, J. D., Klassen, R., & Jayaraman, V. (2007). Sustainable supply chains: an introduction. Journal of Operations Management, 25(6), 1075-1082.
Listeş, O., & Dekker, R. (2005). A stochastic approach to a case study for product recovery network design. European Journal of Operational Research, 160(1), 268-287.
Lu, Z., & Bostel, N. (2007). A facility location model for logistics systems including reverse flows: The case of remanufacturing activities. Computers & Operations Research, 34(2), 299-323.
Meade, L., Sarkis, J., & Presley, A. (2007). The theory and practice of reverse logistics. International Journal of Logistics Systems and Management, 3(1), 56-84.
Meepetchdee, Y., & Shah, N. (2007). Logistical network design with robustness and complexity considerations. International Journal of Physical Distribution & Logistics Management, 37(3), 201-222.
Melo, M. T., Nickel, S., & Saldanha-da-Gama, F. (2009). Facility location and supply chain management–A review. European Journal of Operational Research, 196(2), 401-412.
Min, H., Ko, C. S., & Ko, H. J. (2006). The spatial and temporal consolidation of returned products in a closed-loop supply chain network. Computers & Industrial Engineering, 51(2), 309-320.
Mutha, A., & Pokharel, S. (2009). Strategic network design for reverse logistics and remanufacturing using new and old product modules. Computers & Industrial Engineering, 56(1), 334-346.
Negoita, C. V., Zadeh, L. A., & Zimmermann, H. J. (1978). Fuzzy sets as a basis for a theory of possibility. Fuzzy sets and systems, 1, 3-28.
Özkır, V., & Başlıgil, H. (2013). Multi-objective optimization of closed-loop supply chains in uncertain environment. Journal of Cleaner Production, 41, 114-125.
Pati, R. K., Vrat, P., & Kumar, P. (2008). A goal programming model for paper recycling system. Omega, 36(3), 405-417.
Pishvaee, M. S., Farahani, R. Z., & Dullaert, W. (2010a). A memetic algorithm for bi-objective integrated forward/reverse logistics network design. Computers & Operations Research, 37(6), 1100-1112.
Pishvaee, M. S., Jolai, F., & Razmi, J. (2009). A stochastic optimization model for integrated forward/reverse logistics network design. Journal of Manufacturing Systems, 28(4), 107-114.
Pishvaee, M. S., Kianfar, K., & Karimi, B. (2010b). Reverse logistics network design using simulated annealing. The International Journal of Advanced Manufacturing Technology, 47(1-4), 269-281.
Pishvaee, M. S., Rabbani, M., & Torabi, S. A. (2011). A robust optimization approach to closed-loop supply chain network design under uncertainty. Applied Mathematical Modelling, 35(2), 637-649.
Pishvaee, M. S., & Razmi, J. (2012). Environmental supply chain network design using multi-objective fuzzy mathematical programming. Applied Mathematical Modelling, 36(8), 3433-3446.
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.
Quariguasi Frota Neto, J., Walther, G., Bloemhof, J., Van Nunen, J. A. E. E., & Spengler, T. (2009). A methodology for assessing eco-efficiency in logistics networks. European Journal of Operational Research, 193(3), 670-682.
Sakawa, M., Yano, H., & Yumine, T. (1987). An interactive fuzzy satisficing method for multiobjective linear-programming problems and its application. Systems, Man and Cybernetics, IEEE Transactions on, 17(4), 654-661.
Salema, M. I. G., Barbosa-Povoa, A. P., & Novais, A. Q. (2007). An optimization model for the design of a capacitated multi-product reverse logistics network with uncertainty. European Journal of Operational Research, 179(3), 1063-1077.
Sawik, T. (2011). Supplier selection in make-to-order environment with risks. Mathematical and Computer Modelling, 53(9), 1670-1679.
Selim, H., & Ozkarahan, I. (2008). A supply chain distribution network design model: an interactive fuzzy goal programming-based solution approach. The International Journal of Advanced Manufacturing Technology, 36(3-4), 401-418.
Shaw, K., Shankar, R., Yadav, S. S., & Thakur, L. S. (2012). Supplier selection using fuzzy AHP and fuzzy multi-objective linear programming for developing low carbon supply chain. Expert Systems with Applications, 39(9), 8182-8192.
Shen, Z. (2007). Integrated supply chain design models: a survey and future research directions. Journal of Industrial and Management Optimization, 3(1), 1.
Srivastava, S. K. (2007). Green supply‐chain management: a state‐of‐the‐art literature review. International Journal of Management Reviews, 9(1), 53-80.
Torabi, S. A., & Hassini, E. (2008). An interactive possibilistic programming approach for multiple objective supply chain master planning. Fuzzy Sets and Systems, 159(2), 193-214.
Üster, H., Easwaran, G., Akçali, E., & Cetinkaya, 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.
Wang, F., Lai, X., & Shi, N. (2011). A multi-objective optimization for green supply chain network design. Decision Support Systems, 51(2), 262-269.
Wang, H. F., & Hsu, H. W. (2010a). A closed-loop logistic model with a spanning-tree based genetic algorithm. Computers & Operations Research, 37(2), 376-389.
Wang, H. F., & Hsu, H. W. (2010b). Resolution of an uncertain closed-loop logistics model: An application to fuzzy linear programs with risk analysis. Journal of Environmental Management, 91(11), 2148-2162.
Wang, J., & Shu, Y. F. (2007). A possibilistic decision model for new product supply chain design. European Journal of Operational Research, 177(2), 1044-1061.
Zimmermann, H. J. (1978). Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems, 1(1), 45-55.
Amiri, A. (2006). Designing a distribution network in a supply chain system: Formulation and efficient solution procedure. European Journal of Operational Research, 171(2), 567-576.
Aras, N., & Aksen, D. (2008). Locating collection centers for distance-and incentive-dependent returns. International Journal of Production Economics, 111(2), 316-333.
Barros, A. I., Dekker, R., & Scholten, V. (1998). A two-level network for recycling sand: a case study. European Journal of Operational Research, 110(2), 199-214.
Chaabane, A., Ramudhin, A., & Paquet, M. (2012). Design of sustainable supply chains under the emission trading scheme. International Journal of Production Economics, 135(1), 37-49.
Dekker, R., & Fleischmann, M. (Eds.). (2004). Reverse logistics: quantitative models for closed-loop supply chains. Springer.
Du, F., & Evans, G. W. (2008). A bi-objective reverse logistics network analysis for post-sale service. Computers & Operations Research, 35(8), 2617-2634.
Ehrgott, M. (2005). Multicriteria optimization (Vol. 2). Berlin: Springer.
El-Sayed, M., Afia, N., & El-Kharbotly, A. (2010). A stochastic model for forward–reverse logistics network design under risk. Computers & Industrial Engineering, 58(3), 423-431.
Fleischmann, M., Beullens, P., Bloemhof-Ruwaard, J. M., & Wassenhove, L. N. (2001). The impact of product recovery on logistics network design. Production and Operations Management, 10(2), 156-173.
Fleischmann, M., Bloemhof-Ruwaard, J. M., Dekker, R., Van der Laan, E., Van Nunen, J. A., & Van Wassenhove, L. N. (1997). Quantitative models for reverse logistics: a review. European Journal of Operational Research, 103(1), 1-17.
Fonseca, M. C., García-Sánchez, Á., Ortega-Mier, M., & Saldanha-da-Gama, F. (2010). A stochastic bi-objective location model for strategic reverse logistics. Top, 18(1), 158-184.
Frota Neto, J. Q., Bloemhof-Ruwaard, J. M., Van Nunen, J. A. E. E., & Van Heck, E. (2008). Designing and evaluating sustainable logistics networks. International Journal of Production Economics, 111(2), 195-208.
Hanson, J. J., & Hitchcock, R. W. (2009, September). Towards sustainable design for single-use medical devices. In Engineering in Medicine and Biology Society, 2009. EMBC 2009. Annual International Conference of the IEEE (pp. 5602-5605). IEEE.
Hugo, A., & Pistikopoulos, E. N. (2005). Environmentally conscious long-range planning and design of supply chain networks. Journal of Cleaner Production, 13(15), 1471-1491.
Hwang, C. L., Masud, A. S. M., Paidy, S. R., & Yoon, K. P. (1979). Multiple objective decision making, methods and applications: a state-of-the-art survey (Vol. 164). Berlin: Springer.
Ilgin, M. A., & Gupta, S. M. (2010). Environmentally conscious manufacturing and product recovery (ECMPRO): a review of the state of the art. Journal of Environmental Management, 91(3), 563-591.
Jayaraman, V., Guide Jr, V. D. R., & Srivastava, R. (1999). A closed-loop logistics model for remanufacturing. Journal of the operational research society, 50(5), 497-508.
Jayaraman, V., Patterson, R. A., & Rolland, E. (2003). The design of reverse distribution networks: models and solution procedures. European Journal of Operational Research, 150(1), 128-149.
Jiménez, M., Arenas, M., & Bilbao, A. (2007). Linear programming with fuzzy parameters: an interactive method resolution. European Journal of Operational Research, 177(3), 1599-1609.
Klibi, W., Martel, A., & Guitouni, A. (2010). The design of robust value-creating supply chain networks: a critical review. European Journal of Operational Research, 203(2), 283-293.
Ko, H. J., & Evans, G. W. (2007). A genetic algorithm-based heuristic for the dynamic integrated forward/reverse logistics network for 3PLs. Computers & Operations Research, 34(2), 346-366.
Krikke, H. R., van Harten, A., & Schuur, P. C. (1999). Business case Oce: reverse logistic network re-design for copiers. OR-Spektrum, 21(3), 381-409.
Lai, Y. J., & Hwang, C. L. (1992). A new approach to some possibilistic linear programming problems. Fuzzy Sets and Systems, 49(2), 121-133.
Lai, Y. J., & Hwang, C. L. (1993). Possibilistic linear programming for managinginterest rate risk. Fuzzy Sets and Systems, 54(2), 135-146.
Lee, D. H., & Dong, M. (2008). A heuristic approach to logistics network design for end-of-lease computer products recovery. Transportation Research Part E: Logistics and Transportation Review, 44(3), 455-474.
Lee, J. E., Gen, M., & Rhee, K. G. (2009). Network model and optimization of reverse logistics by hybrid genetic algorithm. Computers & Industrial Engineering, 56(3), 951-964.
Li, X. Q., Zhang, B., & Li, H. (2006). Computing efficient solutions to fuzzy multiple objective linear programming problems. Fuzzy Sets and Systems, 157(10), 1328-1332.
Linton, J. D., Klassen, R., & Jayaraman, V. (2007). Sustainable supply chains: an introduction. Journal of Operations Management, 25(6), 1075-1082.
Listeş, O., & Dekker, R. (2005). A stochastic approach to a case study for product recovery network design. European Journal of Operational Research, 160(1), 268-287.
Lu, Z., & Bostel, N. (2007). A facility location model for logistics systems including reverse flows: The case of remanufacturing activities. Computers & Operations Research, 34(2), 299-323.
Meade, L., Sarkis, J., & Presley, A. (2007). The theory and practice of reverse logistics. International Journal of Logistics Systems and Management, 3(1), 56-84.
Meepetchdee, Y., & Shah, N. (2007). Logistical network design with robustness and complexity considerations. International Journal of Physical Distribution & Logistics Management, 37(3), 201-222.
Melo, M. T., Nickel, S., & Saldanha-da-Gama, F. (2009). Facility location and supply chain management–A review. European Journal of Operational Research, 196(2), 401-412.
Min, H., Ko, C. S., & Ko, H. J. (2006). The spatial and temporal consolidation of returned products in a closed-loop supply chain network. Computers & Industrial Engineering, 51(2), 309-320.
Mutha, A., & Pokharel, S. (2009). Strategic network design for reverse logistics and remanufacturing using new and old product modules. Computers & Industrial Engineering, 56(1), 334-346.
Negoita, C. V., Zadeh, L. A., & Zimmermann, H. J. (1978). Fuzzy sets as a basis for a theory of possibility. Fuzzy sets and systems, 1, 3-28.
Özkır, V., & Başlıgil, H. (2013). Multi-objective optimization of closed-loop supply chains in uncertain environment. Journal of Cleaner Production, 41, 114-125.
Pati, R. K., Vrat, P., & Kumar, P. (2008). A goal programming model for paper recycling system. Omega, 36(3), 405-417.
Pishvaee, M. S., Farahani, R. Z., & Dullaert, W. (2010a). A memetic algorithm for bi-objective integrated forward/reverse logistics network design. Computers & Operations Research, 37(6), 1100-1112.
Pishvaee, M. S., Jolai, F., & Razmi, J. (2009). A stochastic optimization model for integrated forward/reverse logistics network design. Journal of Manufacturing Systems, 28(4), 107-114.
Pishvaee, M. S., Kianfar, K., & Karimi, B. (2010b). Reverse logistics network design using simulated annealing. The International Journal of Advanced Manufacturing Technology, 47(1-4), 269-281.
Pishvaee, M. S., Rabbani, M., & Torabi, S. A. (2011). A robust optimization approach to closed-loop supply chain network design under uncertainty. Applied Mathematical Modelling, 35(2), 637-649.
Pishvaee, M. S., & Razmi, J. (2012). Environmental supply chain network design using multi-objective fuzzy mathematical programming. Applied Mathematical Modelling, 36(8), 3433-3446.
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.
Quariguasi Frota Neto, J., Walther, G., Bloemhof, J., Van Nunen, J. A. E. E., & Spengler, T. (2009). A methodology for assessing eco-efficiency in logistics networks. European Journal of Operational Research, 193(3), 670-682.
Sakawa, M., Yano, H., & Yumine, T. (1987). An interactive fuzzy satisficing method for multiobjective linear-programming problems and its application. Systems, Man and Cybernetics, IEEE Transactions on, 17(4), 654-661.
Salema, M. I. G., Barbosa-Povoa, A. P., & Novais, A. Q. (2007). An optimization model for the design of a capacitated multi-product reverse logistics network with uncertainty. European Journal of Operational Research, 179(3), 1063-1077.
Sawik, T. (2011). Supplier selection in make-to-order environment with risks. Mathematical and Computer Modelling, 53(9), 1670-1679.
Selim, H., & Ozkarahan, I. (2008). A supply chain distribution network design model: an interactive fuzzy goal programming-based solution approach. The International Journal of Advanced Manufacturing Technology, 36(3-4), 401-418.
Shaw, K., Shankar, R., Yadav, S. S., & Thakur, L. S. (2012). Supplier selection using fuzzy AHP and fuzzy multi-objective linear programming for developing low carbon supply chain. Expert Systems with Applications, 39(9), 8182-8192.
Shen, Z. (2007). Integrated supply chain design models: a survey and future research directions. Journal of Industrial and Management Optimization, 3(1), 1.
Srivastava, S. K. (2007). Green supply‐chain management: a state‐of‐the‐art literature review. International Journal of Management Reviews, 9(1), 53-80.
Torabi, S. A., & Hassini, E. (2008). An interactive possibilistic programming approach for multiple objective supply chain master planning. Fuzzy Sets and Systems, 159(2), 193-214.
Üster, H., Easwaran, G., Akçali, E., & Cetinkaya, 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.
Wang, F., Lai, X., & Shi, N. (2011). A multi-objective optimization for green supply chain network design. Decision Support Systems, 51(2), 262-269.
Wang, H. F., & Hsu, H. W. (2010a). A closed-loop logistic model with a spanning-tree based genetic algorithm. Computers & Operations Research, 37(2), 376-389.
Wang, H. F., & Hsu, H. W. (2010b). Resolution of an uncertain closed-loop logistics model: An application to fuzzy linear programs with risk analysis. Journal of Environmental Management, 91(11), 2148-2162.
Wang, J., & Shu, Y. F. (2007). A possibilistic decision model for new product supply chain design. European Journal of Operational Research, 177(2), 1044-1061.
Zimmermann, H. J. (1978). Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems, 1(1), 45-55.