Multi-objective mathematical model for closed loop supply chain design

Research output: Contribution to journalConference articlepeer-review


In this paper, a multi-objective mathematical model is proposed for the design of a closed-loop supply chain (CLSC). A mixed-integer linear programming model is developed with environmental concerns. The proposed multi-objective optimization model captures the trade-off between the total cost, total revenue, and the environment impact. The obtained model helps in assessing the trade-off among different objectives and guides the decision makers to choose the preferred plan among the Pareto optimal solutions. The results show that our multi-objective model can be applied as an effective tool in design of closed supply chain. Meanwhile, a valuable sensitivity analysis is conducted to show the impact of variations of demand, return volume, and disposal rate on the network configuration and model performances.

Original languageEnglish
Pages (from-to)446-455
Number of pages10
JournalProceedings of the International Conference on Industrial Engineering and Operations Management
Issue numberNovember
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© IEOM Society International.


  • Closed loop supply chain
  • Facility location
  • Mixed integer linear programming
  • Multi-objective optimization model

ASJC Scopus subject areas

  • Strategy and Management
  • Management Science and Operations Research
  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering


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