We consider a single server retrial queue with the server subject to interruptions and classical retrial policy for the access from the orbit to the server. We analyze the equilibrium distribution of the system and obtain the generating functions of the limiting distribution.

Abstract: We study the Nash equilibrium behavior of customers in a discrete-time single-server queue under multiple vacation policy or single vacation policy. Every arriving customer either joins the queue or balks based on his or her service utility. Using a Quasi-Birth-Death Processes (QBD) model, we obtain the stationary distribution of the queue length via the Matrix-Geometric Solution meth...

We study the problem of optimally controlling a three server queueing system. Arriving customers join a single queue, which is served by three servers, 8 1 , 52 and 53. The servers are exponential, but of different rates. The total expected time a customer spends in the system is to be minimized. We show that the optimal policy can be characterized by three thresholds, m3,mb and mi, such that: ...

The author presents performance analysis of a single buffer multiple-queue system. Four different types of service disciplines (i.e., non-preemptive, pre-emptive repeat different, state dependent random polling and globally gated) are analyzed. His model includes correlated input process and three different types of nonproductive time (i.e., switchover, vacation and idle time). Special cases of...