Abstract
The aim of this paper is to compare the waiting times of customers in multiple-server queues, where the idle times are removed, with different numbers of servers. For this purpose we develop some results regarding the vector-valued marked point process whose points are arrival epochs of the superposition of renewal processes with different continuous inter-arrival distribution and the marks are the vectors of forward recurrence times of the various renewal processes at these arrival epochs.
| Original language | English |
|---|---|
| Pages (from-to) | 1914-1924 |
| Number of pages | 11 |
| Journal | Statistics and Probability Letters |
| Volume | 76 |
| Issue number | 17 |
| DOIs | |
| State | Published - 1 Nov 2006 |
Bibliographical note
Funding Information:Supported by the Volkswagen Foundation.
Keywords
- Forward recurrence times
- Joint distribution
- Multi-server queue
- Renewal processes
- Superposition