A queue with starter and a queue with vacations: delay analysis by decomposition
Operations Research
Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
An MX/G/1 queueing system with a setup period and a vacation period
Queueing Systems: Theory and Applications
Modified N-policy for M/G/1 queues
Computers and Operations Research
Discrete-time multiserver queues with geometric service times
Computers and Operations Research
Queueing networks with discrete time scale: explicit expressions for the steady state behavior of discrete time stochastic networks
Analysis of a discrete-time queueing system with an NT-policy
ASMTA'10 Proceedings of the 17th international conference on Analytical and stochastic modeling techniques and applications
Mathematical and Computer Modelling: An International Journal
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We consider a discrete-time single-server queue where the idle server waits for reaching a level N in the queue size to start a batch service of N messages, although the following arrivals during the busy period receive single services. We find the stationary distributions of the queue and system lengths as well as some performance measures. The vacation and busy periods of the system and the number of messages served during a busy period are also analyzed. The stationary distributions of the time spent waiting in the queue and in the system are studied too. Finally, a total expected cost function is developed to determine the optimal operating N-policy at minimum cost.