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Solving transportation problem with stochastic demand and non-linear multi-choice cost

P. Agrawal, T. Ganesh

International Conference on Applied Mechanics and Optimisation - ICAMeO 2019, Thiruvananthapuram (India). 13-15 June 2019


Summary:

This article deals with the multi-choice and stochastic parameters of the transportation problem, in which the main aim is to minimize the transportation cost. The transportation problem consists of the multi-choice cost parameters and random demand parameters because of the uncertainty in the environment. The objective function of the problem is in the non-linear form, due to the multi-choice cost parameter and the extra cost and, the constraint corresponding to the demand is in a probabilistic manner. The multi-choice parameters are converted into single choice using Newton’s Divided Difference Interpolation and, the chance-constrained technique used for transforming the probabilistic constraints into deterministic constraints. The numerical example presented for the description of the methodology.


DOI: DOI icon https://doi.org/10.1063/1.5120227

Published in: AIP Conference Proceedings, vol. 2134, nº. 1, pp: 060002, ISSN: 0094-243X

Publication date: 13-Jun-2019.


Citation:
P. Agrawal, T. Ganesh, "Solving transportation problem with stochastic demand and non-linear multi-choice cost", presented at International Conference on Applied Mechanics and Optimisation - ICAMeO 2019, Thiruvananthapuram, India, 13-15 June 2019. In: AIP Conference Proceedings, vol. 2134, nº. 1, pp. 060002, doi: 10.1063/1.5120227

    Research groups:
  • Instituto de Investigación Tecnológica (IIT)

IIT-19-202C

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