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Solving multi-choice multi-objective transportation problem

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  • S. Acharya
  • M.P. Biswal

Abstract

A multi-objective transportation problem involving some multi-choice parameters is considered in this paper. Some of the demand parameters of the problem assumed as multi-choice type. Due to the presence of multi-choice parameters and conflicting objective functions can not be solved directly. In order to solve the problem with such type of problem, at first interpolating polynomials are formulated for the multi-choice parameters of demand the constraints. After establishing interpolating polynomials of the multi-choice parameters a multi-objective transportation problem is formulated. The problem is treated as a multi-objective nonlinear programming problem due to involvement of interpolating polynomial. Finally, fuzzy programming is applied to find a compromise solution. The solution procedure is supported by a numerical example.

Suggested Citation

  • S. Acharya & M.P. Biswal, 2016. "Solving multi-choice multi-objective transportation problem," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 8(4), pages 509-527.
    • Handle: RePEc:ids:ijmore:v:8:y:2016:i:4:p:509-527
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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.

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