A computer and communications network performance analysis primer
A computer and communications network performance analysis primer
Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
On the Mx/G /1 queue with vacation time
Operations Research Letters
On the relationship between work load and waiting time in single server queues with batch inputs
Operations Research Letters
Performance analysis of non-preemptive GE/G/1 priority queueing of LER system with bulk arrivals
Computers and Electrical Engineering
The Mx/G/1 queue with single and multiple vacations under the LIFO service regime
Operations Research Letters
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This paper studies batch arrival M^X/G/1 priority queues without and with (multiple or single) vacations. Applying the delay busy cycle analysis, we explicity derive the Laplace-Stieltjes transforms and the first two moments of the waiting time distributions for the nonpreemptive (head-of-the-line) and preemptive resume priority queues. Conservation laws for batch arrival systems are also mentioned. The results in this paper cover many previous results as special cases.