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Bi-criteria transportation problem with multiple parameters

Author

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  • Sonia Singh

    (Indian Institute of Management)

  • Shalabh Singh

    (Indian Institute of Management)

Abstract

This paper introduces a bi-criteria transportation problem with multiple parameters which brings together the concept of price discrimination from the area of marketing management to the world of multi objective transportation problems. The problem deals with two objectives, the overall shipment cost and the bottleneck time of shipment. Both the objectives are of minimization type and have multi-choice coefficients pertaining to differential marketing strategies or different modes of transportation available. First, the problem with minimum availability and demand of goods is solved and then the problem is extended to the case of interval demand and supply. By iteratively solving multi-choice variants of a cost minimizing transportation problem/minimum cost flow problem, all Pareto optimal time–cost pairs are obtained. The proposed algorithm for both the variants is successfully implemented and solved using the CPLEX optimization package.

Suggested Citation

  • Sonia Singh & Shalabh Singh, 2018. "Bi-criteria transportation problem with multiple parameters," Annals of Operations Research, Springer, vol. 269(1), pages 667-692, October.
    • Handle: RePEc:spr:annopr:v:269:y:2018:i:1:d:10.1007_s10479-018-2825-z
    DOI: 10.1007/s10479-018-2825-z
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    References listed on IDEAS

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    1. Prakash, Satya & Kumar, Pranav & Prasad, B.V.N.S. & Gupta, Anuj, 2008. "Pareto optimal solutions of a cost-time trade-off bulk transportation problem," European Journal of Operational Research, Elsevier, vol. 188(1), pages 85-100, July.
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    4. 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.
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    Cited by:

    1. Shalabh Singh & Sonia Singh, 2022. "Shipment in a multi-choice environment: a case study of shipping carriers in US," 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. 30(4), pages 1195-1219, December.

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