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Simulation approach to solve fuzzy fixed charge multi-item solid transportation problems under budget constraint

Author

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  • Pravash Kumar Giri
  • Manas Kumar Maiti
  • Manoranjan Maiti

Abstract

In this paper, we have developed a dominate-based genetic algorithm to solve fuzzy fixed charge multi-item solid transportation problems (FFCMISTPs) under budget constraint in fuzzy environment, in which sources, demands, capacities of conveyances, unit selling prices, unit purchasing costs, fixed charges, unit transportation costs and transportation times are fuzzy in nature. Here, transportation problems are formulated in the form of profit maximisation problems and solved. For maximisation, a dominate-based genetic algorithm (DBGA) with varying population size, cyclic crossover, two-point mutation is developed which can deal with single-objective transportation problems. The developed algorithm is tested against some test functions and its efficiency is established in terms of iteration numbers for single objective. The fuzzy objective function and constraints are reduced to corresponding deterministic ones using graded mean integrating value, possibility/necessity measures and chance constrained programming method. The reduced crisp problems are solved using developed genetic algorithm. The models are illustrated with numerical examples. The real life practical implication of the model is also presented.

Suggested Citation

  • Pravash Kumar Giri & Manas Kumar Maiti & Manoranjan Maiti, 2018. "Simulation approach to solve fuzzy fixed charge multi-item solid transportation problems under budget constraint," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 32(1), pages 56-91.
    • Handle: RePEc:ids:ijores:v:32:y:2018:i:1:p:56-91
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    Cited by:

    1. Pravash Kumar Giri & Manas Kumar Maiti & Manoranjan Maiti, 2023. "Profit maximization fuzzy 4D-TP with budget constraint for breakable substitute items: a swarm based optimization approach," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 571-615, June.

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