An uncertain sustainable supply chain network

Abstract As the concept of sustainable development and environmental awareness has aroused huge attention from the public, environmental and social factors have gradually been critical to the development of upstream and downstream enterprises in the supply chain. An uncertain sustainable supply chain involving the factors of cost, environmental impact and social benefits is considered. Some factors (e.g., demand, cost and capacity) are recognized as uncertain variables. In the present study, a multi-objective chance-constrained model in the uncertain scenario is developed to delve into the impact of uncertainties on decision variables. In accordance with the uncertainty theory, this study elucidates the deterministic equivalence of the model. To solve this model effectively, a hybrid genetic algorithm is proposed based on variable length chromosome coding. Lastly, numerical experiments are performed to verify the feasibility of the model and algorithm.

[1]  Gang Shi,et al.  Stability in mean of multi-dimensional uncertain differential equation , 2019, Appl. Math. Comput..

[2]  Hua Ke,et al.  Dual-channel supply chain competition with channel preference and sales effort under uncertain environment , 2017, J. Ambient Intell. Humaniz. Comput..

[3]  Yuanguo Zhu,et al.  Indefinite LQ optimal control for discrete-time uncertain systems , 2018, Soft Computing.

[4]  Jinde Cao,et al.  Generalized State Estimation for Markovian Coupled Networks Under Round-Robin Protocol and Redundant Channels , 2019, IEEE Transactions on Cybernetics.

[5]  Kanchan Das,et al.  Integrating lean systems in the design of a sustainable supply chain model , 2018 .

[6]  Mir Saman Pishvaee,et al.  Environmental supply chain network design using multi-objective fuzzy mathematical programming , 2012 .

[7]  Fengqi You,et al.  Design of Sustainable Product Systems and Supply Chains with Life Cycle Optimization Based on Functional Unit: General Modeling Framework, Mixed-Integer Nonlinear Programming Algorithms and Case Study on Hydrocarbon Biofuels , 2013 .

[8]  Yuanguo Zhu,et al.  A parallel-machine scheduling problem with periodic maintenance under uncertainty , 2018, J. Ambient Intell. Humaniz. Comput..

[9]  Jose M. Cruz,et al.  Mitigating global supply chain risks through corporate social responsibility , 2013 .

[10]  Samarjit Kar,et al.  Single-period inventory problem under uncertain environment , 2013, Appl. Math. Comput..

[11]  Hua Ke,et al.  Stability in mean for uncertain differential equation , 2015, Fuzzy Optimization and Decision Making.

[12]  Yuanguo Zhu,et al.  Chance-constrained model for uncertain job shop scheduling problem , 2016, Soft Comput..

[13]  Rong Gao,et al.  Stability of solution for uncertain wave equation , 2019, Appl. Math. Comput..

[14]  Baoding Liu,et al.  Uncertainty Theory - A Branch of Mathematics for Modeling Human Uncertainty , 2011, Studies in Computational Intelligence.

[15]  Rui Kang,et al.  The $$\alpha $$α-cost minimization model for capacitated facility location-allocation problem with uncertain demands , 2014, Fuzzy Optim. Decis. Mak..

[16]  Xiangfeng Yang,et al.  Numerical method for solving uncertain spring vibration equation , 2018, Appl. Math. Comput..

[17]  Anjali Awasthi,et al.  Modelling customer and technical requirements for sustainable supply chain planning , 2014 .

[18]  Baoding Liu.  Some Research Problems in Uncertainty Theory , 2009 .

[19]  S. T. A. Niaki,et al.  Modeling and solving a sustainable closed loop supply chain problem with pricing decisions and discounts on returned products , 2019, Journal of Cleaner Production.

[20]  Augusto Q. Novais,et al.  Bi-objective optimization approach to the design and planning of supply chains: Economic versus environmental performances , 2011, Comput. Chem. Eng..

[21]  José-Fernando Camacho-Vallejo,et al.  A bi-level programming model for sustainable supply chain network design that considers incentives for using cleaner technologies , 2019, Journal of Cleaner Production.

[22]  Jian Zhou,et al.  Uncertain Random Renewal Reward Process With Application to Block Replacement Policy , 2016, IEEE Transactions on Fuzzy Systems.

[23]  Yuanguo Zhu,et al.  An uncertain programming model for single machine scheduling problem with batch delivery , 2019, Journal of Industrial & Management Optimization.

[24]  Kai Zhu,et al.  An uncertain single machine scheduling problem with periodic maintenance , 2017, Knowl. Based Syst..

[25]  Reza Tavakkoli-Moghaddam,et al.  Sustainable hub location under mixed uncertainty , 2014 .

[26]  Ahmad Jafarian,et al.  Designing a sustainable closed-loop supply chain network based on triple bottom line approach: A comparison of metaheuristics hybridization techniques , 2014, Eur. J. Oper. Res..

[27]  Jin Peng,et al.  Pricing and effort decisions for a supply chain with uncertain information , 2017, Int. J. Prod. Res..

[28]  Valérie Botta-Genoulaz,et al.  A framework for sustainable performance assessment of supply chain management practices , 2014, Comput. Ind. Eng..

[29]  Sara Beheshtifar,et al.  A multiobjective optimization approach for location-allocation of clinics , 2015, Int. Trans. Oper. Res..

[30]  Fengqi You,et al.  Life Cycle Optimization of Biomass-to-Liquid Supply Chains with Distributed–Centralized Processing Networks , 2011 .

[31]  Yuhong Sheng,et al.  Stability in distribution for uncertain delay differential equation , 2019, Appl. Math. Comput..

[32]  Bruno S. Silvestre,et al.  Understanding why firms should invest in sustainable supply chains: a complexity approach , 2012 .

[33]  Yuefen Chen,et al.  Optimistic value model of multidimensional uncertain optimal control with jump , 2018, Eur. J. Control.

[34]  Baoding Liu,et al.  Uncertainty Theory - A Branch of Mathematics for Modeling Human Uncertainty , 2011, Studies in Computational Intelligence.

[35]  Kai Yao,et al.  Uncertain differential equation with jumps , 2015, Soft Comput..

[36]  Bo Zhang,et al.  Uncertain goal programming models for bicriteria solid transportation problem , 2017, Appl. Soft Comput..

[37]  Yuefen Chen,et al.  Optimal control of uncertain systems with jump under optimistic value criterion , 2017, Eur. J. Control.

[38]  Guangdong Tian,et al.  An Uncertain Random Programming Model for Project Scheduling Problem , 2015, Int. J. Intell. Syst..

[39]  Jiayu Shen.  An uncertain parallel machine problem with deterioration and learning effect , 2019, Comput. Appl. Math..

[40]  A. Barbosa‐Póvoa,et al.  Towards supply chain sustainability: economic, environmental and social design and planning , 2015 .

[41]  Jafar Razmi,et al.  A new multi objective optimization model for designing a green supply chain network under uncertainty , 2015 .

[42]  Jose M. Cruz,et al.  The sustainable supply chain network competition with environmental tax policies , 2019, International Journal of Production Economics.

[43]  Bruno Agard,et al.  Environmental constraints in joint product and supply chain design optimization , 2014, Comput. Ind. Eng..

[44]  P. C. Jha,et al.  Product recovery optimization in closed-loop supply chain to improve sustainability in manufacturing , 2016 .

[45]  Yuanguo Zhu,et al.  Uncertain flexible flow shop scheduling problem subject to breakdowns , 2017, J. Intell. Fuzzy Syst..

[46]  Sara Saberi,et al.  Sustainable, multiperiod supply chain network model with freight carrier through reduction in pollution stock , 2018, Transportation Research Part E: Logistics and Transportation Review.

[47]  Bo Zhang,et al.  Diversified models for portfolio selection based on uncertain semivariance , 2017, Int. J. Syst. Sci..

[48]  V. Madhusudanan Pillai,et al.  Product disposal penalty: Analysing carbon sensitive sustainable supply chains , 2019, Comput. Ind. Eng..

[49]  Kai Yao,et al.  Ruin Time of Uncertain Insurance Risk Process , 2018, IEEE Transactions on Fuzzy Systems.

[50]  Hu Huang,et al.  Competitive Pricing and Remanufacturing Problem in an Uncertain Closed-Loop Supply Chain with Risk-Sensitive Retailers , 2018, Asia Pac. J. Oper. Res..

[51]  Hui Li,et al.  Sustainable multi-depot emergency facilities location-routing problem with uncertain information , 2018, Appl. Math. Comput..

[52]  Zhen Peng,et al.  Some results about uncertain differential equations with time-dependent delay , 2020, Appl. Math. Comput..

[53]  Kai Yao,et al.  Renewal Reward Process With Uncertain Interarrival Times and Random Rewards , 2018, IEEE Transactions on Fuzzy Systems.

[54]  Hu Huang,et al.  Pricing decision problem in dual-channel supply chain based on experts’ belief degrees , 2018, Soft Comput..

[55]  Rong Gao,et al.  Stability in mean for uncertain differential equation with jumps , 2019, Appl. Math. Comput..

[56]  Nan Jiang,et al.  A simple differential evolution with time-varying strategy for continuous optimization , 2020, Soft Comput..

[57]  Bai Yang,et al.  An adaptive differential evolution with combined strategy for global numerical optimization , 2020, Soft Comput..

[58]  Jye-Chyi Lu,et al.  Designing sustainable supply chain networks under uncertain environments: Fuzzy multi-objective programming , 2018 .

[59]  Yuan Gao,et al.  (S, S) Policy for uncertain Single period inventory Problem , 2013, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[60]  A. Barbosa‐Póvoa,et al.  Sustainable supply chains: An integrated modeling approach under uncertainty , 2017, Omega.

[61]  Hao Shen,et al.  Finite-time H∞ asynchronous state estimation for discrete-time fuzzy Markov jump neural networks with uncertain measurements , 2018, Fuzzy Sets Syst..

[62]  Yuanguo Zhu,et al.  Indefinite LQ optimal control with process state inequality constraints for discrete-time uncertain systems , 2017 .

[63]  Jinde Cao,et al.  Nonfragile Dissipative Synchronization for Markovian Memristive Neural Networks: A Gain-Scheduled Control Scheme , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[64]  Hamed Farrokhi-Asl,et al.  Developing a sustainable supply chain optimization model for switchgrass-based bioenergy production: A case study , 2018, Journal of Cleaner Production.