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Incorporating Vehicle-Routing Problems into a Closed-Loop Supply Chain Network Using a Mixed-Integer Linear-Programming Model

Author

Listed:
  • Ali Pedram

    (Independent Researcher, North Vancouver, BC V7P 1T7, Canada)

  • Shahryar Sorooshian

    (Department of Business Administration, University of Gothenburg, SE-405 30 Gothenburg, Sweden
    Prime School of Logistics, Saito University College, Petaling Jaya 46200, Selangor, Malaysia
    Apadana Institute of Higher Education, Shiraz 7187985443, Iran)

  • Freselam Mulubrhan

    (Independent Researcher, Addis Ababa P.O. Box 1164, Ethiopia)

  • Afshin Abbaspour

    (Department of Industrial Engineering, Semnan Branch, Islamic Azad University, Semnan 3381774895, Iran)

Abstract

In recent years, there has been a tremendous increase in environmental awareness, due to concerns about sustainability. Designing an efficient supply chain network that fulfills the expectation of both business owners and customers and, at the same time, pays attention to environmental protection is becoming a trend in the commercial world. This study proposes a theoretical model incorporating vehicle routing problems (VRPs) into the typical CLSC (closed-loop supply chain) network architecture. This combination assists all operators to act more efficiently in terms of environmental protection and profitability. A mixed-integer-linear-programming model for CLSC network design with fuzzy and random uncertain data is developed to achieve the goals. The parameters of the CLSC network are also programmed using hybrid fuzzy-stochastic mathematical programming. The model is for a single product and a single timeframe. Several numerical examples are provided to demonstrate the validity of the proposed mixed-integer-linear-programming (MILP) model. This study also investigated probabilistic possibilities for recourse variables with a trapezoidal fuzzy number using a problem size of four cases. The result indicates that the model performed well in the numerical test, suggesting it can help the operation to be more profitable if this model is implemented in their daily routines.

Suggested Citation

  • Ali Pedram & Shahryar Sorooshian & Freselam Mulubrhan & Afshin Abbaspour, 2023. "Incorporating Vehicle-Routing Problems into a Closed-Loop Supply Chain Network Using a Mixed-Integer Linear-Programming Model," Sustainability, MDPI, vol. 15(4), pages 1-24, February.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:4:p:2967-:d:1059863
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    References listed on IDEAS

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