Article ID: | iaor20108168 |
Volume: | 66 |
Issue: | 3 |
Start Page Number: | 275 |
End Page Number: | 311 |
Publication Date: | Nov 2010 |
Journal: | Queueing Systems |
Authors: | Hou Zhenting, Chen Anyue, Li Junping, Ng Wang |
Keywords: | bulk arrivals, bulk queues |
We consider decay properties including the decay parameter, invariant measures and quasi-stationary distributions for a Markovian bulk-arrival and bulk-service queue which stops when the waiting line is empty. Investigating such a model is crucial for understanding the busy period and other related properties of the Markovian bulk-arrival and bulk-service queuing processes. The exact value of the decay parameter