Markov-modulated queues waiting time heavy traffic
Issue Date:
2011
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 20, No 1, (2011), 53p-62p
Abstract:
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.
Description:
Key words: Markov-modulated queues, waiting time, heavy traffic.
