Multi-Objective Capacitated Solid Transportation Problem with Uncertain Variables

被引:3
|
作者
Kakran, Vandana Y. [1 ]
Dhodiya, Jayesh M. [1 ]
机构
[1] SV Natl Inst Technol, Dept Math & Humanities, Surat 395007, Gujarat, India
关键词
Capacitated solid transportation problem; Uncertain variable; Optimistic value model; Fuzzy programming technique;
D O I
10.33889/IJMEMS.2021.6.5.085
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper investigates a multi-objective capacitated solid transportation problem (MOCSTP) in an uncertain environment, where all the parameters are taken as zigzag uncertain variables. To deal with the uncertain MOCSTP model, the expected value model (EVM) and optimistic value model (OVM) are developed with the help of two different ranking criteria of uncertainty theory. Using the key fundamentals of uncertainty, these two models are transformed into their relevant deterministic forms which are further converted into a single-objective model using two solution approaches: minimizing distance method and fuzzy programming technique with linear membership function. Thereafter, the Lingo 18.0 optimization tool is used to solve the single-objective problem of both models to achieve the Pareto-optimal solution. Finally, numerical results are presented to demonstrate the application and algorithm of the models. To investigate the variation in the objective function, the sensitivity of the objective functions in the OVM model is also examined with respect to the confidence levels.
引用
收藏
页码:1406 / 1422
页数:17
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