Solving multi-choice solid stochastic multi objective transportation problem with supply, demand and conveyance capacity involving Newton divided difference interpolations

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Keywords:

Solid transportation problem; Newton divided difference; Stochastic programming; multi-choice random parameter; Ranking of solution

Abstract

The main concern is the uncertainty in the real-world solid transportation problem. This study examines a supply, demand, and conveyance capacity-based multi-choice solid stochastic multi-objective transportation problem (MCSS-MOTP). Due to uncertainty, the concrete objective function coefficients of the proposed model are of multivariate type. Furthermore, the parameters of the constraints are treated as independent multivariate random variables with normal distribution. First, a Newton divided difference method-based interpolation polynomial is described that extends an interpolation polynomial using practical properties at non-negative integer nodes to deal with any multiple-choice parameter. Second, the probabilistic constraints are converted into precise ones utilizing a stochastic programming approach. In the end, ranking procedure was used to compare the existing approach with the old models. The proposed model’s applicability was confirmed using a numerical example

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Published

2024-04-22

How to Cite

Vishwas Deep Joshi, Medha Sharma, & Jagdev Singh. (2024). Solving multi-choice solid stochastic multi objective transportation problem with supply, demand and conveyance capacity involving Newton divided difference interpolations. Journal of Computational Analysis and Applications (JoCAAA), 33(1A), 372–395. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/30

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