We consider a single-server first-in-first-out queue fed by a finite number of distinct sources of jobs. For a large class of short-range dependent and light-tailed distributed job processes, using functional large deviation techniques we prove a large deviation principle and logarithmic...

This paper considers a 2-station-5-class re-entrant line with infinite supply of work. We obtain the necessary and sufficient condition for its corresponding fluid model to be stable. As an application of the result, the positive Harris recurrence of the 2-station-5-class re-entrant line is...

We consider finite-state time-nonhomogeneous Markov chains whose transition matrix at time n is I+G/n<SUP><FONT FACE="Symbol">z</FONT></SUP> where G is a ``generator'' matrix, that is G(i,j)0 for i,j distinct, and G(i,i)= -∑<SUB>k<FONT FACE="Symbol">≠</FONT>i</SUB> G(i,k), and <FONT FACE="Symbol">z</FONT>0 is a strength parameter. In these chains, as time grows, the positions are less and...</font></font></sub></font></sup>

This paper studies the operating characteristics of an MX/Hk/1 queueing system under multiple vacation policy. It is assumed that the server goes for vacation as soon as the system becomes empty. When he returns from a vacation and there is one or more customers waiting in the queue, he serves...

The present investigation deals with a machine repair problem consisting of cold and warm standby machines. The machines are subject to breakdown and are repaired by the permanent repairman operating under N-policy. There is provision of one additional removable repairman who is called upon when...

This study is concerned with the performance modeling of a fault tolerant system consisting of operating units supported by a combination of warm and cold spares. The on-line as well as warm standby units are subject to failures and are send for the repair to a repair facility having single...

This paper studies the operating characteristics of an MX/Hk/1 queueing system under multiple vacation policy. It is assumed that the server goes for vacation as soon as the system becomes empty. When he returns from a vacation and there is one or more customers waiting in the queue, he serves...