How to cite this paper
Nosrati, M & Khamseh, A. (2020). Reliability optimization in a four-echelon green closed-loop supply chain network considering stochastic demand and carbon price.Uncertain Supply Chain Management, 8(3), 457-472.
Refrences
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Atoei, F., Teimory, E., & Amiri, A. (2013). Designing reliable supply chain network with disruption risk. International Journal of Industrial Engineering Computations, 4(1), 111-126.
Baghalian, A., Rezapour, S., & Farahani, R. Z. (2013). Robust supply chain network design with service level against disruptions and demand uncertainties: A real-life case. European Journal of Operational Research, 227(1), 199-215.
Bidhandi, H. M., & Yusuff, R. M. (2011). Integrated supply chain planning under uncertainty using an improved stochastic approach. Applied Mathematical Modelling, 35(6), 2618-2630.
Birge, J. R., & Louveaux, F. (2011). Introduction to stochastic programming. Springer Science & Business Media.
Chalmardi, M. K., & Camacho-Vallejo, J. F. (2019). A bi-level programming model for sustainable supply chain network design that considers incentives for using cleaner technologies. Journal of Cleaner Production, 213, 1035-1050.
Daehy, Y., Krishnan, K., Alsaadi, A., & Alghamdi, S. (2019). Effective cost minimization strategy and an optimization model of a reliable global supply chain system. Uncertain Supply Chain Management, 7(3), 381-398.
Dehghanian, F., & Mansour, S. (2009). Designing sustainable recovery network of end-of-life products using genetic algorithm. Resources, Conservation and Recycling, 53(10), 559-570.
Fahimnia, B., Sarkis, J., & Davarzani, H. (2015). Green supply chain management: A review and bibliometric analysis. International Journal of Production Economics, 162, 101-114.
Guillén‐Gosálbez, G., & Grossmann, I. E. (2009). Optimal design and planning of sustainable chemical supply chains under uncertainty. AIChE Journal, 55(1), 99-121.
Ha, C., Jun, H. B., & Ok, C. (2018). A mathematical definition and basic structures for supply chain reliability: A procurement capability perspective. Computers & Industrial Engineering, 120, 334-345.
Hamidieh, A., Arshadikhamseh, A., & Fazli-Khalaf, M. (2018). A robust reliable closed loop supply chain network design under uncertainty: A case study in equipment training centers. International Journal of Engineering, Transactions B: Applications, 31(4), 648-658.
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.
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.
Kuo, T. C., Tseng, M. L., Chen, H. M., Chen, P. S., & Chang, P. C. (2018). Design and analysis of supply chain networks with low carbon emissions. Computational Economics, 52(4), 1353-1374.
Liao, S. H., Hsieh, C. L., & Lin, Y. S. (2011). A multi-objective evolutionary optimization approach for an integrated location-inventory distribution network problem under vendor-managed inventory systems. Annals of Operations Research, 186(1), 213-229.
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.
Nickel, S., Saldanha-da-Gama, F., & Ziegler, H. P. (2012). A multi-stage stochastic supply network design problem with financial decisions and risk management. Omega, 40(5), 511-524.
Nosrati, M., & Arshadi-Khamseh, A. (2020). Bi objective hybrid vehicle routing problem with alternative paths and reliability. Decision Science Letters, 9(2), 145-162.
Ramudhin, A., Chaabane, A., & Paquet, M. (2010). Carbon market sensitive sustainable supply chain network design. International Journal of Management Science and Engineering Management, 5(1), 30-38.
Rezaee, A., Dehghanian, F., Fahimnia, B., & Beamon, B. (2017). Green supply chain network design with stochastic demand and carbon price. Annals of Operations Research, 250(2), 463-485.
Singh, S., Jain, S., & Pareek, S. (2014). An economic production model for time dependent demand with rework and multiple production setups. International Journal of Industrial Engineering Computations, 5(2), 305-314.
Soroudi, A. (2017). Power system optimization modeling in GAMS (Vol. 78). Switzerland: Springer.
Torabi, N., Tavakkoli-Moghaddam, R., & Najafi, E. (2019). A Two-Stage Green Supply Chain Network with a Carbon Emission Price by a Multi-Objective Interior Search Algorithm. International Journal of Engineering, 32(6), 828-834.
Tsao, Y. C., Thanh, V. V., Lu, J. C., & Yu, V. (2018). Designing sustainable supply chain networks under uncertain environments: Fuzzy multi-objective programming. Journal of Cleaner Production, 174, 1550-1565.
Zaitsev, E. (2012). Supply chain reliability modelling. LogForum, 8(1), 61-69.
Zakeri, A., Dehghanian, F., Fahimnia, B., & Sarkis, J. (2015). Carbon pricing versus emissions trading: A supply chain planning perspective. International Journal of Production Economics, 164, 197-205.
Atoei, F., Teimory, E., & Amiri, A. (2013). Designing reliable supply chain network with disruption risk. International Journal of Industrial Engineering Computations, 4(1), 111-126.
Baghalian, A., Rezapour, S., & Farahani, R. Z. (2013). Robust supply chain network design with service level against disruptions and demand uncertainties: A real-life case. European Journal of Operational Research, 227(1), 199-215.
Bidhandi, H. M., & Yusuff, R. M. (2011). Integrated supply chain planning under uncertainty using an improved stochastic approach. Applied Mathematical Modelling, 35(6), 2618-2630.
Birge, J. R., & Louveaux, F. (2011). Introduction to stochastic programming. Springer Science & Business Media.
Chalmardi, M. K., & Camacho-Vallejo, J. F. (2019). A bi-level programming model for sustainable supply chain network design that considers incentives for using cleaner technologies. Journal of Cleaner Production, 213, 1035-1050.
Daehy, Y., Krishnan, K., Alsaadi, A., & Alghamdi, S. (2019). Effective cost minimization strategy and an optimization model of a reliable global supply chain system. Uncertain Supply Chain Management, 7(3), 381-398.
Dehghanian, F., & Mansour, S. (2009). Designing sustainable recovery network of end-of-life products using genetic algorithm. Resources, Conservation and Recycling, 53(10), 559-570.
Fahimnia, B., Sarkis, J., & Davarzani, H. (2015). Green supply chain management: A review and bibliometric analysis. International Journal of Production Economics, 162, 101-114.
Guillén‐Gosálbez, G., & Grossmann, I. E. (2009). Optimal design and planning of sustainable chemical supply chains under uncertainty. AIChE Journal, 55(1), 99-121.
Ha, C., Jun, H. B., & Ok, C. (2018). A mathematical definition and basic structures for supply chain reliability: A procurement capability perspective. Computers & Industrial Engineering, 120, 334-345.
Hamidieh, A., Arshadikhamseh, A., & Fazli-Khalaf, M. (2018). A robust reliable closed loop supply chain network design under uncertainty: A case study in equipment training centers. International Journal of Engineering, Transactions B: Applications, 31(4), 648-658.
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.
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.
Kuo, T. C., Tseng, M. L., Chen, H. M., Chen, P. S., & Chang, P. C. (2018). Design and analysis of supply chain networks with low carbon emissions. Computational Economics, 52(4), 1353-1374.
Liao, S. H., Hsieh, C. L., & Lin, Y. S. (2011). A multi-objective evolutionary optimization approach for an integrated location-inventory distribution network problem under vendor-managed inventory systems. Annals of Operations Research, 186(1), 213-229.
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.
Nickel, S., Saldanha-da-Gama, F., & Ziegler, H. P. (2012). A multi-stage stochastic supply network design problem with financial decisions and risk management. Omega, 40(5), 511-524.
Nosrati, M., & Arshadi-Khamseh, A. (2020). Bi objective hybrid vehicle routing problem with alternative paths and reliability. Decision Science Letters, 9(2), 145-162.
Ramudhin, A., Chaabane, A., & Paquet, M. (2010). Carbon market sensitive sustainable supply chain network design. International Journal of Management Science and Engineering Management, 5(1), 30-38.
Rezaee, A., Dehghanian, F., Fahimnia, B., & Beamon, B. (2017). Green supply chain network design with stochastic demand and carbon price. Annals of Operations Research, 250(2), 463-485.
Singh, S., Jain, S., & Pareek, S. (2014). An economic production model for time dependent demand with rework and multiple production setups. International Journal of Industrial Engineering Computations, 5(2), 305-314.
Soroudi, A. (2017). Power system optimization modeling in GAMS (Vol. 78). Switzerland: Springer.
Torabi, N., Tavakkoli-Moghaddam, R., & Najafi, E. (2019). A Two-Stage Green Supply Chain Network with a Carbon Emission Price by a Multi-Objective Interior Search Algorithm. International Journal of Engineering, 32(6), 828-834.
Tsao, Y. C., Thanh, V. V., Lu, J. C., & Yu, V. (2018). Designing sustainable supply chain networks under uncertain environments: Fuzzy multi-objective programming. Journal of Cleaner Production, 174, 1550-1565.
Zaitsev, E. (2012). Supply chain reliability modelling. LogForum, 8(1), 61-69.
Zakeri, A., Dehghanian, F., Fahimnia, B., & Sarkis, J. (2015). Carbon pricing versus emissions trading: A supply chain planning perspective. International Journal of Production Economics, 164, 197-205.