On a bulk queueing system with impatient customers.
The busy period distribution of a discrete modified queue , with finitely or infinitely many severs , and with different distribution functions of customer service times is derived.
A non-Markovian queueing system with Poisson input is studied under a modified operating rule called “control operating policy” in which the server begins “start-up” only when the queue length reaches a fixed number . By using the supplementary variable technique, the distribution of the queue length (excluding those being served) in the form of a generating function is obtained. As a special case, a Markovian queueing system with exponential start-up is discussed in detail to analyse the economic...