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Multi-choice stochastic transportation problem involving Weibull distribution

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  • Sankar Kumar Roy

Abstract

This paper presents a multi-choice stochastic transportation problem (TP) where the supply and demand parameters of the constraints follow Weibull distribution. The cost coefficients of the objective function associated with TP are multi-choice type. At first, all the stochastic constraints are transformed into deterministic constraints using stochastic programming approach. Multi-choice type cost coefficients are tractabled by introducing binary variables in the multi-choice programming. Secondly, the transformed problem is considered as a deterministic multi-choice transportation problem. Finally, a numerical example is presented to illustrate the methodology.

Suggested Citation

  • Sankar Kumar Roy, 2014. "Multi-choice stochastic transportation problem involving Weibull distribution," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 21(1), pages 38-58.
    • Handle: RePEc:ids:ijores:v:21:y:2014:i:1:p:38-58
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    Citations

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    Cited by:

    1. Srikant Gupta & Irfan Ali & Aquil Ahmed, 2018. "Multi-objective capacitated transportation problem with mixed constraint: a case study of certain and uncertain environment," OPSEARCH, Springer;Operational Research Society of India, vol. 55(2), pages 447-477, June.
    2. Sankar Kumar Roy & Gurupada Maity & Gerhard-Wilhelm Weber, 2017. "Multi-objective two-stage grey transportation problem using utility function with goals," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(2), pages 417-439, June.
    3. Sankar Kumar Roy & Gurupada Maity & Gerhard Wilhelm Weber & Sirma Zeynep Alparslan Gök, 2017. "Conic scalarization approach to solve multi-choice multi-objective transportation problem with interval goal," Annals of Operations Research, Springer, vol. 253(1), pages 599-620, June.
    4. P. Senthil Kumar, 2020. "Intuitionistic fuzzy zero point method for solving type-2 intuitionistic fuzzy transportation problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 37(3), pages 418-451.

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