Abstract
In this paper, we propose a methodology to analyse the best arrival of K-phase Erlang distribution in fuzzy environment. We consider the queue parameters as triangular fuzzy numbers. At first, we construct the inverse membership of the steady state performance measures. Second, we construct the pairs of MINLP to calculate the lower and upper bound of the performance measure at the different possibility level of α via Zadeh extension principle. We analyse the interval of the best arrival optimality using testing of hypothesis. A numerical example is illustrated.
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