Time dependence of queues with semi-Markovian services

A single server queueing system with Poisson input is considered. There are a finite number of types of customers and the service time of the n th customers depends on the types of the nth and the ( n – l)th customers. The time dependence of the queue size process will be studied, (it will be clear...

Full description

Saved in:
Bibliographic Details
Published in:Journal of applied probability 1967-08, Vol.4 (2), p.356-364
Main Author: Çinlar, Erhan
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A single server queueing system with Poisson input is considered. There are a finite number of types of customers and the service time of the n th customers depends on the types of the nth and the ( n – l)th customers. The time dependence of the queue size process will be studied, (it will be clear how the methods of the paper can be applied to other processes of interest,) and limiting as well as transient results will be given.
ISSN:0021-9002
1475-6072
DOI:10.1017/S0021900200032101