Poisson input queueing system with startup time and under control-operating policy
Computers and Operations Research
Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Exact results for the cyclic-service queue with a Bernoulli schedule
Performance Evaluation
A Poisson input queue under N-policy and with a general start up time
Computers and Operations Research
Queueing Systems: Theory and Applications
Analysis of M/G/1-Queues with Setup Times and Vacations under Six Different Service Disciplines
Queueing Systems: Theory and Applications
A vacation queue with setup and close-down times and batch Markovian arrival processes
Performance Evaluation
Analysis of a Multiserver Queue with Setup Times
Queueing Systems: Theory and Applications
Queuing Theory and Telecommunications: Networks and Applications
Queuing Theory and Telecommunications: Networks and Applications
Mathematical and Computer Modelling: An International Journal
Average Delay Approximation of M/G/1 Cyclic Service Queues with Bernoulli Schedules
IEEE Journal on Selected Areas in Communications
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This paper is concerned with the analysis of a single server queueing system subject to Bernoulli vacation schedules with server setup and close down periods. An explicit expression for the probability generating function of the number of customers present in the system is obtained by using imbedded Markov chain technique. The steady state probabilities of no customer in the system at the end of vacation termination epoch and a service completion epoch are derived. The mean number of customers served during a service period and the mean number of customers in the system at an arbitrary epoch are investigated under steady state. Further, the Laplace-Stieltjes transform of the waiting time distribution and its corresponding mean are studied. Numerical results are provided to illustrate the effect of system parameters on the performance measures.