| Article ID: | iaor2010424 |
| Volume: | 71 |
| Issue: | 1 |
| Start Page Number: | 28 |
| End Page Number: | 38 |
| Publication Date: | Jan 2010 |
| Journal: | Automation and Remote Control |
| Authors: | Dudin S A |
| Keywords: | MAP/PH/c queues |
We consider a multiline queueing system with joint or single queries. The number of queries in a connection is random and is not known when the connection is established. Queries arriving during each connection are described by the phase type input steam. Accepting a connection in the system is restricted by tokens. Connections arriving when no free tokens are present are refused. Single queries arrive without tokens. If the number of free slots in the system is not enough, the system is blocked.