Threshold effect on a fuzzy queue model with batch arrival

The objective of the paper is to model the performance measures of a simple queue system with batch arrival. The arrival and service rates both are considered to be in fuzzy parameters. The mathematical description of the model has been presented for two and three parameters The various queue characteristics are extracted from the fuzzy state probability function governing the behaviour of the system. α – cut and Zadeh extension principle has been applied to transfer the trapezoidal queue system into crisp queue measures. The batch size follows geometrical distribution. The evaluation of thresholding is applied to eliminate small membership values to avoid unnecessary computations.