Stochastic fractional programming approach to a mean and variance model of a transportation problem

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Authors

Charles, V.
Yadavalli, Venkata S. Sarma
Rao, M.C.L.
Reddy, P.R.S.

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Publisher

Hindawi Publishing Corporation

Abstract

In this paper, we propose a stochastic programming model, which considers a ratio of two nonlinear functions and probabilistic constraints. In the former, only expected model has been proposed without caring variability in the model. On the other hand, in the variance model, the variability played a vital role without concerning its counterpart, namely, the expected model. Further, the expected model optimizes the ratio of two linear cost functions where as variance model optimize the ratio of two non-linear functions, that is, the stochastic nature in the denominator and numerator and considering expectation and variability as well leads to a non-linear fractional program. In this paper, a transportation model with stochastic fractional programming SFP problem approach is proposed, which strikes the balance between previous models available in the literature.

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Keywords

Stochastic fractional programming (SFP), Linear stochastic fractional programming (LSFP), Transportation problem

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Citation

Charles, V, Yadavalli, VSS, Rao, MCL & Reddy, PRS 2011, 'Stochastic fractional programming approach to a mean and variance model of a transportation problem', Mathematical Problems in Engineering, vol. 2011, no. 657608, pp. 1-12.