Abstract
Regenerative events for different queueing models are considered. The aim of this paper is to construct these events for continuous-time processes if they are given for the corresponding discrete-time model. The construction uses so-called renovative events revealing the property of the state at timen of the discrete-time model to be independent (in an algebraic sense) of the states referring to epochs not later thann −L (whereL is some constant) given that there are some restrictions on the “governing sequence”. Different types of multi-server and multi-phase queues are considered.
| Original language | English |
|---|---|
| Pages (from-to) | 211-223 |
| Number of pages | 13 |
| Journal | Queueing Systems |
| Volume | 8 |
| DOIs | |
| Publication status | Published - Dec 1991 |
Keywords
- Regeneration
- renovation
- stopping time
- queueing system
- multi-server system
- multi-phase system