sensitivity analysis of costs in grey transportation problems

The parameters of the transportation problem in the real world can be presented mostly as grey numbers. therefore, after solving the grey transportation problem and reaching the optimal answer, sensitivity analysis of cost coefficients of a grey transportation problem is discussed. in this paper, using the definitions of center and width of interval grey numbers, a new method for the sensitivity analysis of cost coefficients of a grey transportation problem is presented. in this way, it can be determined the ranges of costs in the grey transportation problem such that its optimal basis is invariant. the proposed method is also explained with an example.