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Solving multi-choice fractional stochastic transportation problem involving newton’s divided difference interpolation

P. Agrawal, T. Ganesh

International Conference on Numerical Optimization in Engineering and Sciences - NOIEAS 2019, Warangal (India). 19-21 June 2019


Summary:

There are limited numbers of methods to choose the optimal choice among the multiple choices. A numerical technique named Newton’s Divided Difference Interpolation is used to find out the solution of multi-choice fractional stochastic transportation problem. Because of the uncertainty, the parameters of the problem supplies and demands are considered as multi-choice random parameters which are treated as independent random variables follows Logistic distribution. Also, the coefficients of the decision variables in the fractional objective function are taken as multi-choice type. To get the deterministic model, chance constrained programming is applied to the probabilistic constraints, and the transformed mathematical model is presented. An illustration illustrates the methodology and also solved using Lagrange’s Interpolation.


Keywords: Fractional programming; Multi-choice random parameter; Stochastic programming; Transportation problem


DOI: DOI icon https://doi.org/10.1007/978-981-15-3215-3_28

Published in Numerical optimization in engineering and sciences, pp: 289-298, ISBN: 978-981-15-3214-6

Publication date: 2019-06-19.



Citation:
P. Agrawal, T. Ganesh, Solving multi-choice fractional stochastic transportation problem involving newton’s divided difference interpolation, International Conference on Numerical Optimization in Engineering and Sciences - NOIEAS 2019, Warangal (India). 19-21 June 2019. In: Numerical optimization in engineering and sciences: Select Proceedings of NOIEAS 2019, ISBN: 978-981-15-3214-6

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