Introduction to matrix analysis (2nd ed.)
Introduction to matrix analysis (2nd ed.)
The complete analysis of the discrete time finite DBMAP/G/1/N queue
Performance Evaluation
Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
Discrete Time Geo/G/1 Queue with Multiple Adaptive Vacations
Queueing Systems: Theory and Applications
The Discrete-Time GI/Geo/1 Queue with Multiple Vacations
Queueing Systems: Theory and Applications
Analysis of a Discrete-Time Queueing System with Timed Vacations
Queueing Systems: Theory and Applications
The combined gated-exhaustive vacation system in discrete time
Performance Evaluation
Vacation Models in Discrete Time
Queueing Systems: Theory and Applications
Analysis of a versatile batch-service queueing model with correlation in the arrival process
Performance Evaluation
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This paper treats a discrete-time single-server finite-buffer exhaustive (single- and multiple-) vacation queueing system with discrete-time Markovian arrival process (D-MAP). The service and vacation times are generally distributed random variables and their durations are integral multiples of a slot duration. We obtain the queue-length distributions at departure, service completion, vacation termination, arbitrary and prearrival epochs. Several performance measures such as probability of blocking, average queue-length and the fraction of time the server is busy have been discussed. Finally, the analysis of actual waiting time under the first-come-first-served discipline is also carried out.