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More for less method to minimize the unit transportation cost of a capacitated transportation problem with bounds on rim conditions

Author

Listed:
  • Kavita Gupta

    (University of Delhi)

  • Ritu Arora

    (University of Delhi)

Abstract

In this paper, an algorithm is developed which determines the minimum per unit transportation cost in a capacitated transportation problem with bounds on rim conditions. At first level, a related transportation problem is formulated to find the minimum cost of transporting goods from different sources to different destinations in a capacitated transportation problem. Then, a unit transportation cost problem subjected to same set of constraints is constructed. Then the optimal solution to this new problem is found which provides a transportation schedule such that its unit shipping cost is less and total number of items shipped is more than the optimal solution of the initial capacitated transportation problem. A real life market situation is considered to illustrate the proposed algorithm.

Suggested Citation

  • Kavita Gupta & Ritu Arora, 2017. "More for less method to minimize the unit transportation cost of a capacitated transportation problem with bounds on rim conditions," OPSEARCH, Springer;Operational Research Society of India, vol. 54(3), pages 460-474, September.
    • Handle: RePEc:spr:opsear:v:54:y:2017:i:3:d:10.1007_s12597-016-0288-z
    DOI: 10.1007/s12597-016-0288-z
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    References listed on IDEAS

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    1. Dahiya, Kalpana & Verma, Vanita, 2007. "Capacitated transportation problem with bounds on RIM conditions," European Journal of Operational Research, Elsevier, vol. 178(3), pages 718-737, May.
    2. WOLSEY, Laurence A., 1989. "Submodularity and valid inequalities in capacitated fixed charge networks," LIDAM Reprints CORE 842, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Vikas Sharma & Kalpana Dahiya & Vanita Verma, 2010. "Capacitated Two-Stage Time Minimization Transportation Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 27(04), pages 457-476.
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    Cited by:

    1. Md. Ashraful Babu & M. A. Hoque & Md. Sharif Uddin, 2020. "A heuristic for obtaining better initial feasible solution to the transportation problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 221-245, March.
    2. Kavita Gupta & Ritu Arora, 2018. "Solving the problem of industry by formulating it as a fractional capacitated transportation problem with bounds on rim conditions," 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(2), pages 509-516, April.

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