Analysis of polling systems
Mean waiting time for a token ring with station dependent overheads
Local area and multiple access networks
Dominance relations in polling systems
Queueing Systems: Theory and Applications
Adventures in stochastic processes
Adventures in stochastic processes
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Analysis of a Multiserver Queue with Setup Times
Queueing Systems: Theory and Applications
Equilibrium customer strategies in a single server Markovian queue with setup times
Queueing Systems: Theory and Applications
Performance Evaluation
Computers and Industrial Engineering
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Single server M/G/1-queues with an infinite buffer are studied; these permit inclusion of server vacations and setup times. A service discipline determines the numbers of customers served in one cycle, that is, the time span between two vacation endings. Six service disciplines are investigated: the gated, limited, binomial, exhaustive, decrementing, and Bernoulli service disciplines. The performance of the system depends on three essential measures: the customer waiting time, the queue length, and the cycle duration. For each of the six service disciplines the distribution as well as the first and second moment of these three performance measures are computed. The results permit a detailed discussion of how the expected value of the performance measures depends on the arrival rate, the customer service time, the vacation time, and the setup time. Moreover, the six service disciplines are compared with respect to the first moments of the performance measures.