Article ID: | iaor2012186 |
Volume: | 72 |
Issue: | 12 |
Start Page Number: | 2492 |
End Page Number: | 2504 |
Publication Date: | Dec 2011 |
Journal: | Automation and Remote Control |
Authors: | Pechinkin A, Razumchik R |
Keywords: | multistage queues |
We consider a queueing system with Poisson input streams of positive and negative claims, an infinite collector, and exponential service. A negative claim ousts a positive claim out of the collector queue and moves it to a bunker of unbounded capacity. If the collector is empty then a negative claim leaves the system with no influence on it. After a claim is serviced, the device receives the next claim from the collector or, if the collector is empty, from the bunker. For different combinations of