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Uncertainty in linear fractional transportation problem | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 8، دوره 8، شماره 1، مهر 2017، صفحه 81-93 اصل مقاله (382.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2016.504 | ||
| نویسندگان | ||
| Mohammad Reza Safi* ؛ Seyyed Mojtaba Ghasemi | ||
| Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran | ||
| تاریخ دریافت: 07 دی 1394، تاریخ بازنگری: 10 خرداد 1395، تاریخ پذیرش: 24 شهریور 1395 | ||
| چکیده | ||
| In this paper, we study the linear fractional transportation problem with uncertain arameters. After recalling some definitions, concepts and theorems in uncertainty theory we present three approaches for solving this problem. First we consider the expected value of the objective function together with the expectation of satisfying constraints. Optimizing the expected value of the objective function with considering chance constrained method for the restrictions is our second approach. In the third approach we add the objective function to the constraints and solve again the problem by chance constrained method. A numerical example is solved by three approaches and their solutions are compaired. | ||
| کلیدواژه‌ها | ||
| Transportation Problem؛ Linear Fractional Programming؛ Un- certain Measure؛ Uncertain Variable؛ Uncertain Programming | ||
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