We study a system of two queues with boundary assistance, represented as a continuous-time Quasi-Birth-and-Death process (QBD). Under our formulation, this QBD has a ‘doubly infinite’ number of phases. We determine the convergence norm of Neuts’ R-matrix and, consequently, the interval in which the decay rate of the infinite system can lie. We next consider four sequences of finite-phase approximations to the original system in which the Nth approximation has 2N+1 phases; one is derived by truncating the infinite system without augmentation, the others are obtained by using different augmentation schemes that ensure that the generator of the QBD remains conservative. The sequences of matrices {R N } for the truncated system without augmenta...
In this paper, we identify a class of quasi-birth-and-death (QBD) processes where the transitions to...
The transient solution is obtained analytically using continued fractions for a state-dependent birt...
We consider the queue lengths of a tandem queueing network. The number of customers in the system c...
The numerical analysis of quasi-birth-and-death processes rests on the resolution of a matrix-quadra...
The paper deals with the problem of existence and construction of limiting characteristics for timei...
The paper deals with the problem of existence and construction of limiting characteristics for time-...
In this paper, we study queueing systems with an infinite and finite number of waiting places that c...
For dealing numerically with the infinite-state-space Markov chains, a truncation of the state space...
In this paper, we present the extension of the analysis of time-dependent limiting characteristics t...
Quasi-birth-and-death (QBD) processes with infinite “phase spaces ” can exhibit unusual and interest...
The application of matrix-analytic methods to the resolution of fluid queues has shown a close conne...
For dealing numerically with the infinite-state-space Markov chains, a truncation of the state space...
In the study of quasi-birth-and-death (QBD) processes, the first passage probabilities from states i...
The transient solution is obtained analytically using continued fractions for a state-dependent birt...
We consider nonstationary Markovian queueing models with batch arrivals and group services. We study...
In this paper, we identify a class of quasi-birth-and-death (QBD) processes where the transitions to...
The transient solution is obtained analytically using continued fractions for a state-dependent birt...
We consider the queue lengths of a tandem queueing network. The number of customers in the system c...
The numerical analysis of quasi-birth-and-death processes rests on the resolution of a matrix-quadra...
The paper deals with the problem of existence and construction of limiting characteristics for timei...
The paper deals with the problem of existence and construction of limiting characteristics for time-...
In this paper, we study queueing systems with an infinite and finite number of waiting places that c...
For dealing numerically with the infinite-state-space Markov chains, a truncation of the state space...
In this paper, we present the extension of the analysis of time-dependent limiting characteristics t...
Quasi-birth-and-death (QBD) processes with infinite “phase spaces ” can exhibit unusual and interest...
The application of matrix-analytic methods to the resolution of fluid queues has shown a close conne...
For dealing numerically with the infinite-state-space Markov chains, a truncation of the state space...
In the study of quasi-birth-and-death (QBD) processes, the first passage probabilities from states i...
The transient solution is obtained analytically using continued fractions for a state-dependent birt...
We consider nonstationary Markovian queueing models with batch arrivals and group services. We study...
In this paper, we identify a class of quasi-birth-and-death (QBD) processes where the transitions to...
The transient solution is obtained analytically using continued fractions for a state-dependent birt...
We consider the queue lengths of a tandem queueing network. The number of customers in the system c...