A new approach is used to determine the transient probability functions of the classical queueing systems: M/M/1, M/M/1/H, and M/M/1/H with catastrophes. This new solution method uses dual processes, randomization and lattice path combinatorics. The method reveals that the transient probability functions for M/M/1/H and M/M/1/H with catastrophes have the same mathematical form
Abstract The paper is devoted on computer simulation of rare event probability, which is a critical ...
AbstractFor a simple queue with finite waiting space the difference equations satisfied by the Lapla...
This paper studies a discrete-time queueing system with two heterogeneous servers subject to catastr...
A new approach is given to obtain the transient probabilities of the M/M/1 queueing system. A first ...
This paper demonstrates simple and elegant lattice path combinatorial technique for computing transi...
A new approach is used to determine the transient probability functions of Markov processes. This ne...
AbstractA Taylor series method for determining the transient probabilities of the classical single s...
International audienceA new approach is used to determine the transient probability functions of Mar...
This paper presents a transient solution for the system size in the M/M/2 queue with the possibility...
In this thesis, we develop the explicit expression for pure incomplete busy period (PIBP) density fu...
We consider a discrete-time queueing system with two queues and one server. The server is allocated ...
A two node tandem queueing system with phase-type servers and Bernoulli arrivals is considered in di...
For a simple queue with finite waiting space the difference equations satisfied by the Laplace trans...
The paper revisits the problem of the computation of the joint stationary probability distribution p...
In this paper we present probability density function of vacation period of M/G/1 queueing process t...
Abstract The paper is devoted on computer simulation of rare event probability, which is a critical ...
AbstractFor a simple queue with finite waiting space the difference equations satisfied by the Lapla...
This paper studies a discrete-time queueing system with two heterogeneous servers subject to catastr...
A new approach is given to obtain the transient probabilities of the M/M/1 queueing system. A first ...
This paper demonstrates simple and elegant lattice path combinatorial technique for computing transi...
A new approach is used to determine the transient probability functions of Markov processes. This ne...
AbstractA Taylor series method for determining the transient probabilities of the classical single s...
International audienceA new approach is used to determine the transient probability functions of Mar...
This paper presents a transient solution for the system size in the M/M/2 queue with the possibility...
In this thesis, we develop the explicit expression for pure incomplete busy period (PIBP) density fu...
We consider a discrete-time queueing system with two queues and one server. The server is allocated ...
A two node tandem queueing system with phase-type servers and Bernoulli arrivals is considered in di...
For a simple queue with finite waiting space the difference equations satisfied by the Laplace trans...
The paper revisits the problem of the computation of the joint stationary probability distribution p...
In this paper we present probability density function of vacation period of M/G/1 queueing process t...
Abstract The paper is devoted on computer simulation of rare event probability, which is a critical ...
AbstractFor a simple queue with finite waiting space the difference equations satisfied by the Lapla...
This paper studies a discrete-time queueing system with two heterogeneous servers subject to catastr...