Results 11 to 20 of about 89 (86)
The MX/G/1 queue with queue length dependent service times
We deal with the MX/G/1 queue where service times depend on the queue length at the service initiation. By using Markov renewal theory, we derive the queue length distribution at departure epochs. We also obtain the transient queue length distribution at time t and its limiting distribution and the virtual waiting time distribution.
Bong Dae Choi +3 more
wiley +1 more source
Single server queueing networks with varying service times and renewal input
Using recent results in tandem queues and queueing networks with renewal input, when successive service times of the same customer are varying (and when the busy periods are frequently not broken up in large networks), the local queueing delay of a single server queueing network is evaluated utilizing new concepts of virtual and actual delays ...
Pierre Le Gall
wiley +1 more source
An MX/GI/1/N queue with close‐down and vacation times
An MX/GI/1/N finite capacity queue with close‐down time, vacation time and exhaustive service discipline is considered under the partial batch acceptance strategy as well as under the whole batch acceptance strategy. Applying the supplementary variable technique the queue length distribution at an arbitrary instant and at a departure epoch is obtained ...
Andreas Frey, Yoshitaka Takahashi
wiley +1 more source
A diffusion model for two parallel queues with processor sharing: transient behavior and asymptotics
We consider two identical, parallel M/M/1 queues. Both queues are fed by a Poisson arrival stream of rate λ and have service rates equal to μ. When both queues are non‐empty, the two systems behave independently of each other. However, when one of the queues becomes empty, the corresponding server helps in the other queue.
Charles Knessl
wiley +1 more source
Evaluation of the traffic coefficient in priority queueing systems [PDF]
Methodology and algorithms of evaluation of the traffic coefficient in priority queueing systems with zero and nonzero switchover times are presented. In the case of zero switchover times the calculation of the traffic coefficient is straightforward.
Gh. Mishkoy, A. Iu. Bejan, O. Benderschi
doaj
Multi‐dimensional quasitoeplitz Markov chains
This paper deals with multi‐dimensional quasitoeplitz Markov chains. We establish a sufficient equilibrium condition and derive a functional matrix equation for the corresponding vector‐generating function, whose solution is given algorithmically. The results are demonstrated in the form of examples and applications in queues with BMAP‐input, which ...
Alexander N. Dudin +1 more
wiley +1 more source
On the ergodic distribution of oscillating queueing systems
International Journal of Stochastic Analysis, Volume 16, Issue 4, Page 311-326, 2003.
Mykola Bratiychuk, Andrzej Chydzinski
wiley +1 more source
The stationary local sojourn time in single server tandem queues with renewal input
We start from an earlier paper evaluating the overall sojourn time to derive the local sojourn time in stationary regime, in a single server tandem queue of (m + 1) stages with renewal input. The successive service times of a customer may or may not be mutually dependent, and are governed by a general distribution which may be different at each sage.
Pierre Le Gall
wiley +1 more source
Estudio bayesiano de los periodos de ocupacion y desocupacion en una cola M/M/1/∞/FIFO en equilibrio [PDF]
Inferencia Bayesiana, Intensidad de tráfico, Número de personas atendidas en un período de ocupación, Períodos de ocupación y desocupación de la cola, Tiempos de servicio, Tiempos transcurridos entre dos llegadas consecutivas a la cola, 60K25-90B22 ...
Carmen Cervera
core +1 more source
Multi‐threshold control of the BMAP/SM/1/K queue with group services
International Journal of Stochastic Analysis, Volume 16, Issue 4, Page 327-347, 2003.
Alexander N. Dudin +1 more
wiley +1 more source

