Stochastic modelling and analysis: a computational approach
Stochastic modelling and analysis: a computational approach
Poisson input queueing system with startup time and under control-operating policy
Computers and Operations Research
Control policies for the MX/g/1 queueing system
Management Science
A Poisson input queue under N-policy and with a general start up time
Computers and Operations Research
Batch arrival queue with N-policy and single vacation
Computers and Operations Research
Optimal (N, T)-policy for M/G/1 system with cost structures
Performance Evaluation
Dynamic Programming
The optimal control of an M/G/1 queueing system with server vacations, startup and breakdowns
Computers and Industrial Engineering
Modified T vacation policy for an M/G/1 queueing system with an unreliable server and startup
Mathematical and Computer Modelling: An International Journal
Computers and Industrial Engineering
Expert Systems with Applications: An International Journal
Journal of Computational and Applied Mathematics
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
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This paper studies the control policies of an M/G/1 queueing system with a startup and unreliable server, in which the length of the vacation period is controlled either by the number of arrivals during the idle period, or by a timer. After all the customers are served in the queue exhaustively, the server immediately takes a vacation and operates two different policies: (i) the server reactivates as soon as the number of arrivals in the queue reaches to a predetermined threshold N or the waiting time of the leading customer reaches T units; and (ii) the server reactivates as soon as the number of arrivals in the queue reaches to a predetermined threshold N or T time units have elapsed since the end of the completion period. If the timer expires or the number of arrivals exceeds the threshold N, then the server reactivates and requires a startup time before providing the service until the system is empty. Furthermore, it is assumed that the server breaks down according to a Poisson process and his repair time has a general distribution. We analyze the system characteristics for each scheme. The total expected cost function per unit time is developed to determine the optimal thresholds of N and T at a minimum cost.