Single-Server Queueing System with Markov-Modulated Arrivals and Service Times


Autoria(s): Dimitrov, Mitko
Data(s)

20/12/2013

20/12/2013

2011

Resumo

Key words: Markov-modulated queues, waiting time, heavy traffic.

Markov-modulated queueing systems are those in which the input process or service mechanism is influenced by an underlying Markov chain. Several models for such systems have been investigated. In this paper we present heavy traffic analysis of single queueing system with Poisson arrival process whose arrival rate is a function of the state of Markov chain and service times depend on the state of the same Markov chain at the epoch of arrivals.

Identificador

Pliska Studia Mathematica Bulgarica, Vol. 20, No 1, (2011), 53p-62p

0204-9805

http://hdl.handle.net/10525/2206

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Markov-modulated queues #waiting time #heavy traffic
Tipo

Article