3 papers
math.PR2015
Lévy-driven Fluid Queue with Server Breakdowns and Vacations
Jinbiao Wu, Zaiming Liu, Yi Peng
In this paper, we consider a Lévy-driven fluid queueing system where the server may subject to breakdowns and repairs. In addition, the server will leave for a vacation each time w…
math.PR2015
Exact Tail Asymptotics --- Revisit of a Retrial Queue with Two Input Streams and Two Orbits
Yang Song, Zaiming Liu, Yiqiang Q. Zhao
We revisit a single-server retrial queue with two independent Poisson streams (corresponding to two types of customers) and two orbits. The size of each orbit is infinite. The expo…
math.PR2015
On the BMAP_1, BMAP_2/PH/g, c retrial queueing system
Jinbiao Wu, Yi Peng, Zaiming Liu
In this paper, we analyze a retrial queueing system with Batch Markovian Arrival Processes and two types of customers. The rate of individual repeated attempts from the orbit is mo…