Annals of Operations Research

, Volume 257, Issue 1–2, pp 95–120 | Cite as

Multi-objective fuzzy mathematical modelling of closed-loop supply chain considering economical and environmental factors

  • Anil Jindal
  • Kuldip Singh Sangwan
S.I.: Innovative Supply Chain Optimization


The growing concern for sustainability has forced the researchers and managers to incorporate the environmental and social factors along with the economical factors in the design of supply chains. This paper presents the design and optimization of a multi-objective closed-loop supply chain considering the economical and environmental factors with uncertainty in parameters. The proposed network is modeled as fuzzy multi-objective mixed integer linear programming problem considering multi-customer zones, multi-collection centers, multi-disassembly centers, multi-refurbishing centers, multi-external suppliers, and different product recovery processes; to take care for purchasing cost, transportation cost, processing cost, set-up cost, and capacity constraints simultaneously. The model is solved using an interactive \(\upvarepsilon \)-constraint method. A case example is solved using LINGO 14.0 to demonstrate the significance and applicability of the developed fuzzy optimization model for closed-loop supply chain.


Sustainability Closed-loop supply chain Environmental assessment Fuzzy mathematical modelling Multi-objective optimization MILP 


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringBirla Institute of Technology and SciencePilaniIndia

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