Longitudinal cooperative robust optimization model for sustainable supply chain management

• Published in: Chaos, solitons and fractals solitons and fractals, 2018-11, Vol.116, p.95-105
• Main Authors: Jin, Maozhu, Song, Lijun, Wang, Yanan, Zeng, Yucheng
• Format: Article
• Language: English
• Subjects: Low-carbon environment; Robust optimization; Sustainable supply chain management; Two-layer multi-slave programming; Vertical cooperation
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2018.09.008

•The trade-offs of two-tier supply chain enterprises in an uncertain environment is consider via a two-tiered multi-programming formula.•The model considers green building alternatives’ cost, duration and carbon emissions uncertainties simultaneously.•To solve the complex and non-linear bi-level multi-follower model, an interactive fuzzy programming technique combined an effective multi-objective algorithm, NSGA-II, is designed as the solution method.•An applicant for a contractor of Urban Construction Group and its subcontractors is given as an illustration that demonstrates the practicality and efficiency of the proposed model. The sensitivity analysis towards the change of important parameters is also provided. This paper considers the trade-offs of two-tier supply chain enterprises in an uncertain environment, and can be formulated into a two-tiered multi-programming formula. The model we proposed considers green building alternatives’ cost, duration and carbon emissions uncertainties simultaneously, making it more realistic comparing to models in previous literature. In this model, the interval number and expected value based on Me are adopted to handle the uncertain coefficients contained in the objective function and constraints, then a stochastic-based robust optimization method is developed to get a solution that can resist the uncertain environment. To solve the complex and non-linear bi-level multi-follower model, an interactive fuzzy programming technique combined an effective multi-objective algorithm, NSGA-II, is designed as the solution method. Finally, an applicant for a contractor of Urban Construction Group and its sub-contractors is given as an illustration that demonstrates the practicality and efficiency of the proposed model. The sensitivity analysis towards the change of important parameters is also provided.