1. Multi-choice fractional stochastic multi-objective transportation problem.
- Author
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El Sayed, M. A. and Baky, Ibrahim A.
- Subjects
- *
RANDOM variables , *STOCHASTIC programming , *GOAL programming , *INTEGERS , *POLYNOMIALS - Abstract
Uncertainty in real-world fractional transportation problem is the major issue. In this paper, a multi-choice fractional stochastic multi-objective transportation problem (MCFS-MOTP) is investigated. Due to the uncertainty, in the introduced model, the coefficients of the fractional objective functions are a multi-choice type also, the parameters of the constraints are treated as multi-choice independent normally distributed random variables. Firstly, an interpolating polynomial is detailed utilizing practical qualities at nonnegative integer nodes to deal with any multi-choice parameters based on Newton divided difference method. Secondly, stochastic programming approach is applied to transform the probabilistic constraints into crisp ones. Moreover, we introduced a linearization methodology to work out the linear form of the problem. Finally, a fuzzy goal programming approach and the ϵ -constrain method were utilized to think through the issue. Applicability of the proposed model was verified through a numerical example. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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