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Application and performance evaluation of assigning shortest mini-max method on trans-shipment problem with flow restriction over some path

Author

Listed:
  • Om Prakash Dubey

    (Veer Kunwar Singh University)

  • Raju Prajapati

    (Amity University Jharkhand)

Abstract

Trans-shipment problem is an extension of transportation problem. Like transportation problem, it has a huge application in logistics. Trans-shipment problem may or may not have some additional trans-shipment nodes in addition to the source and destination nodes. In the present paper, we are trying to classify the trans-shipment problem and solve a trans-shipment problem out of these classifications. We convert the trans-shipment problem to a transportation problem and apply the recently introduced assigning shortest mini-max method for dealing the converted trans-shipment problem. The feasible solution obtained in this way is compared with the existing Vogel’s approximation method. Further, we extend this application to deal with a modified trans-shipment problem in which some paths are completely restricted or restricted to a finite limit. Therefore, strategy for solving constrained arcs trans-shipment problem is also discussed. This includes finding the solution of slightly modified trans-shipment problem. We have also found the optimal solution of the trans-shipment problem using the mathematical model of the corresponding transportation problem. The same is also done for the modified trans-shipment problem.

Suggested Citation

  • Om Prakash Dubey & Raju Prajapati, 2024. "Application and performance evaluation of assigning shortest mini-max method on trans-shipment problem with flow restriction over some path," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(12), pages 5604-5610, December.
    • Handle: RePEc:spr:ijsaem:v:15:y:2024:i:12:d:10.1007_s13198-024-02544-z
    DOI: 10.1007/s13198-024-02544-z
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    References listed on IDEAS

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    4. Sujeet Kumar Singh & Shiv Prasad Yadav, 2016. "Intuitionistic fuzzy transportation problem with various kinds of uncertainties in parameters and variables," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 7(3), pages 262-272, September.
    5. Syed Aqib Jalil & Shakeel Javaid & Syed Mohd Muneeb, 2018. "A decentralized multi-level decision making model for solid transportation problem with uncertainty," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(5), pages 1022-1033, October.
    6. S. K. Bharati & Rita Malhotra, 2017. "Two stage intuitionistic fuzzy time minimizing transportation problem based on generalized Zadeh’s extension principle," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1442-1449, November.
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