Abstract
ABSTRACTThis paper analyses an M/M/c queueing system with variant working vacations. The service times during regular busy periods, working vacation periods and vacation times are exponentially distributed and are mutually independent. During working vacation, customers may renege due to impatience and the impatient timer follows an exponential distribution. We derive the probability generating function of the steady-state probabilities and obtain some performance measures. The cost function associated with the model is also constructed and its optimization is investigated using quadratic fit search method. We have also presented the numerical illustrations of the effect of some parameters on the performance measures using graphs.
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