• Title of article

    A two-level pricing-inventory-routing problem in green closed-loop supply chain: Bi-level programming and heuristic method

  • Author/Authors

    Saffarian, Mohsen Department of Industrial Engineering - Birjand University of Technology - Birjand - Southern Khorasan, Iran , Mostafayi, Sobhan Department of Industrial Engineering - University of Kurdistan - Sanandaj, Iran , Kazemi, Mahmood Department of Industrial Engineering - Birjand University of Technology - Birjand - Southern Khorasan, Iran , Niksirat, Malihe Department of Computer Science - Birjand University of Technology - Birjand - Southern Khorasan, Iran

  • Pages
    19
  • From page
    62
  • To page
    80
  • Abstract
    In this paper, a bi-level mathematical formulation for a pricing-inventoryrouting problem in the context of sustainable closed-loop supply chains is developed. The two levels are entitled as the upper level model and the lower level model. The upper level model (the leader model) tries to minimize greenhouse gas (GHG) emissions while the lower level model (the follower model) focuses on profit maximization. To solve the problem, an enumeration heuristic method based on knapsack problem and genetic algorithm (GA) is devised. The results show that the heuristic method is capable of obtaining high-quality solutions in reasonable CPU-times.
  • Keywords
    Bi-level programming , heuristic method , pricing-routinginventory , closed loop supply chain , incentive loans
  • Journal title
    Journal of Industrial and Systems Engineering (JISE)
  • Serial Year
    2020
  • Record number

    2630492