An Investigation on the Fractional Transportation Problem via Weibull Distribution

Paraman Anukokila ¹ ( )
Aravasa Gounder Vel Murugan ² ( )
Bheeman Radhakrishnan ³ ( )

Submited date : 2024-10-10 Accepted date : 2025-01-21

Keywords: Chance constrained programming, Fractional transportation problem, Goal programming, Weibull distribution.,

Abstract :

In this work, multi-objective fractional stochastic solid transportation problem uncertainties are represented using the Weibull distribution. This transformation converts the multi-objective fractional stochastic solid transportation problem into a goal programming problem with chance constraints, incorporating probabilistic constraints into its formulation. Goal programming and hyperbolic membership functions also assist in solving the fractional transportation problem. The proposed models serve as the basis for numerical examples and approaches to solving the problem under validated uncertainty. Furthermore, we conduct a sensitivity analysis to assess the impact of parameter changes on the proposed method.

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