TY - JOUR
ID - 504
TI - Uncertainty in linear fractional transportation problem
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Safi, Mohammad Reza
AU - Ghasemi, Seyyed Mojtaba
AD - Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
Y1 - 2017
PY - 2017
VL - 8
IS - 1
SP - 81
EP - 93
KW - Transportation Problem
KW - Linear Fractional Programming
KW - Un- certain Measure
KW - Uncertain Variable
KW - Uncertain Programming
DO - 10.22075/ijnaa.2016.504
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_504.html
L1 - https://ijnaa.semnan.ac.ir/article_504_5a23516c8827427da952623d3f103bcb.pdf
ER -