Jihong Li
ABSTRACT
Many real systems with a multi-purpose production facility, such as some stochastic production and inventory control model, alternate between the normal production period and lower speed production period. In this paper, we model a general two-period alternating system by a batch arrival queue with exponential working vacations. Combining Embedded Markov chain and the M/G/1-type matrix analytic approach, we carry out the stationary analysis to present the system performance indices, including the queue length, waiting time and system utilization, et. al. A variety of numerical results are presented to show the effects of the system parameters on the system process.
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Digital Library
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Index Terms
- A batch arrival queue with exponential working vacations
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