Single-Server Queueing System with Markov-Modulated Arrivals and Service Times
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 |
Idioma(s) |
en |
Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
Palavras-Chave | #Markov-modulated queues #waiting time #heavy traffic |
Tipo |
Article |