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An Iterative Solution Technique to Minimize the Average Transportation Cost of Capacitated Transportation Problem with Bounds on Rim Conditions

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  • Fanrong Xie

    (School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, P. R. China2Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P. R. China3Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China)

  • Zuoan Li

    (School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, P. R. China)

Abstract

The average transportation cost minimization of capacitated transportation problem with bounds on rim conditions (CTPBRC) is an important optimization problem due to the requirement of low unit cost consumption in production system. In the literature, there is only one approach to solving a special case of this problem, but it is not applicable to the general case. In this paper, this problem is reduced to a series of finding the minimum cost maximum flow in a network with lower and upper arc capacities, and two iterative algorithms are proposed as more generalized solution method for this problem as compared to the existing approach. Computational experiments on randomly generated instances validate that the two iterative algorithms are generally able to find the minimum average transportation cost solution to CTPBRC efficiently for the general case, in which one iterative algorithm has higher efficiency than the other for large size instances.

Suggested Citation

  • Fanrong Xie & Zuoan Li, 2020. "An Iterative Solution Technique to Minimize the Average Transportation Cost of Capacitated Transportation Problem with Bounds on Rim Conditions," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(05), pages 1-33, October.
    • Handle: RePEc:wsi:apjorx:v:37:y:2020:i:05:n:s0217595920500244
    DOI: 10.1142/S0217595920500244
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    Cited by:

    1. Wang, Gang, 2024. "Order assignment and two-stage integrated scheduling in fruit and vegetable supply chains," Omega, Elsevier, vol. 124(C).
    2. Fanrong Xie & Zuoan Li, 2022. "An iterative solution technique for capacitated two-stage time minimization transportation problem," 4OR, Springer, vol. 20(4), pages 637-684, December.
    3. Fanrong Xie & Anuj Sharma & Zuoan Li, 2022. "An alternate approach to solve two-level priority based assignment problem," Computational Optimization and Applications, Springer, vol. 81(2), pages 613-656, March.

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