On some degenerate large deviation problems.
On some queue length controlled stochastic processes.
On the behavior of LIFO preemptive resume queues in heavy traffic.
On the busy period for the M|G|1 queue with-finite waiting room
On the calculation of steady-state loss probabilities in the queue.
On the ergodic distribution of oscillating queueing systems.
On the level crossing of multi-dimensional delayed renewal processes.
On the M/G/1 retrial queue subjected to breakdowns
Retrial queueing systems are characterized by the requirement that customers finding the service area busy must join the retrial group and reapply for service at random intervals. This paper deals with the M/G/1 retrial queue subjected to breakdowns. We use its stochastic decomposition property to approximate the model performance in the case of general retrial times.
On the M/G/1 retrial queue subjected to breakdowns
Retrial queueing systems are characterized by the requirement that customers finding the service area busy must join the retrial group and reapply for service at random intervals. This paper deals with the M/G/1 retrial queue subjected to breakdowns. We use its stochastic decomposition property to approximate the model performance in the case of general retrial times.
On the preemptive priority queues
On the Queueing Problem of Correlated Arrivals with Many Servers in a Finite Waiting Space.
On the queue-size distribution in the multi-server system with bounded capacity and packet dropping
A multi-server -type queueing system with a bounded total volume and finite queue size is considered. An AQM algorithm with the “accepting” function is being used to control the arrival process of incoming packets. The stationary queue-size distribution and the loss probability are derived. Numerical examples illustrating theoretical results are attached as well.
On the tail of the stationary waiting time distribution and limit theorems for the M/G/1 queue
On the virtual waiting time for an retrial queue with two types of calls.
On the waiting time distribution of a cascade queueing process
On transient queue-size distribution in the batch-arrivals system with a single vacation policy
A queueing system with batch Poisson arrivals and single vacations with the exhaustive service discipline is investigated. As the main result the representation for the Laplace transform of the transient queue-size distribution in the system which is empty before the opening is obtained. The approach consists of few stages. Firstly, some results for a ``usual'' system without vacations corresponding to the original one are derived. Next, applying the formula of total probability, the analysis of...
On truncations for weakly ergodic inhomogeneous birth and death processes
On vacation models with finite capacity.
Opérateurs positifs et probabilités stationnaires
Optimal and analytical results of queueing model