Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
M/M/1 queues with working vacations (M/M/1/WV)
Performance Evaluation
Vacation Models in Discrete Time
Queueing Systems: Theory and Applications
M/G/1 queue with multiple working vacations
Performance Evaluation
Discrete-time GI/Geo/1 queue with multiple working vacations
Queueing Systems: Theory and Applications
Analysis of the M/G/1 queue with exponentially working vacations--a matrix analytic approach
Queueing Systems: Theory and Applications
Steady-state analysis of a discrete-time batch arrival queue with working vacations
Performance Evaluation
Stochastic decompositions in the M/M/1 queue with working vacations
Operations Research Letters
Analysis of a GI/M/1 queue with multiple working vacations
Operations Research Letters
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In this paper we present an exact steady-state analysis of a discrete-time Geo/G/1 queueing system with working vacations, where the server can keep on working, but at a slower speed during the vacation period. The transition probability matrix describing this queuing model can be seen as an M/G/1-type matrix form. This allows us to derive the probability generating function (PGF) of the stationary queue length at the departure epochs by the M/G/1-type matrix analytic approach. To understand the stationary queue length better, by applying the stochastic decomposition theory of the standard M/G/1 queue with general vacations, another equivalent expression for the PGF is derived. We also show the different cases of the customer waiting to obtain the PGF of the waiting time, and the normal busy period and busy cycle analysis is provided. Finally, we discuss various performance measures and numerical results, and an application to network scheduling in the wavelength division-multiplexed (WDM) system illustrates the benefit of this model in real problems.