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Uncertain transportation model with rough unit cost, demand and supply

Author

Listed:
  • Subhakanta Dash

    (Silicon Institute of Technology)

  • S. P. Mohanty

    (SOA University)

Abstract

In a transportation problem, the parameters like unit cost of transportation of goods or services from source to destination, supplies from the sources and demands at destinations depend on many factors which may not be deterministic in nature. To deal with the uncertainty of the parameters, random variables and fuzzy variables were used previously. Sometimes, in absence of sufficient sample observations, the uncertain parameters are estimated by the belief degree of the experts. In this paper, the aim is to investigate the transportation problem where the unit cost of transportation, supplies, demands are initially taken as rough variables based on subjective estimation of experts. Further, these rough estimates are suitably approximated as uncertain normal variables and the conceptual uncertain programming model has been developed. The model is then transformed to a deterministic linear programming model by minimizing the expected value of the uncertain objective function under the constraints at certain confidence level.

Suggested Citation

  • Subhakanta Dash & S. P. Mohanty, 2018. "Uncertain transportation model with rough unit cost, demand and supply," OPSEARCH, Springer;Operational Research Society of India, vol. 55(1), pages 1-13, March.
    • Handle: RePEc:spr:opsear:v:55:y:2018:i:1:d:10.1007_s12597-017-0317-6
    DOI: 10.1007/s12597-017-0317-6
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    References listed on IDEAS

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    1. A. C. Williams, 1963. "A Stochastic Transportation Problem," Operations Research, INFORMS, vol. 11(5), pages 759-770, October.
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    Cited by:

    1. Prachi Agrawal & Talari Ganesh, 2020. "Fuzzy fractional stochastic transportation problem involving exponential distribution," OPSEARCH, Springer;Operational Research Society of India, vol. 57(4), pages 1093-1114, December.
    2. 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.

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