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Stochastic Fractional Programming Approach to a Mean and Variance Model of a Transportation Problem

机译：运输问题均值和方差模型的随机分数阶规划方法

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摘要

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.
机译：在本文中，我们提出了一种随机规划模型，该模型考虑了两个非线性函数的比率和概率约束。在前者中，仅提出了预期模型，而模型中没有考虑变化性。另一方面，在方差模型中，变异性起着至关重要的作用，而无需考虑其对应模型即预期模型。此外，期望模型优化了两个线性成本函数的比率，而方差模型优化了两个非线性函数的比率，即分母和分子的随机性，并考虑了期望和可变性也导致了非线性。线性分数程序。在本文中，提出了一种带有随机分数规划（SFP）问题方法的运输模型，该模型在文献中现有模型之间取得了平衡。

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  • 来源
    《Mathematical Problems in Engineering》 |2011年第2期|p.1-12|共12页
  • 作者

    V. Charles; V. S. S. Yadavalli; M. C. L. Rao; P. R. S. Reddy;

  • 作者单位

    CENTRUM Catolica, Escuela de Graduados de Negocios, Pontificia Universidad Catolica del Peru, Lima 33, Peru;

    Department of Industrial and Systems Engineering, University of Pretoria, Pretoria 0002, South Africa;

    Department of Statistics, Sri Venkateswara University, Tirupati, A.P. 517502, India;

    Department of Statistics, Sri Venkateswara University, Tirupati, A.P. 517502, India;

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