Abstract
This paper analyses an M / M / 1 queueing system with a variant of working vacations wherein an arriving customer may balk. The service times during regular busy periods, working vacation periods and vacation times are exponentially distributed and are mutually independent. In working vacation periods, the customer 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 the closed form expressions of the system size. In addition, some performance measures and the sojourn time of a tagged customer are derived.
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