“Minimal length” multi-channel
M/M/1 queuing model with ordinary maintenance and breakdowns
M/M/1 retrial queue with collisions and working vacation interruption under N-policy
Consider an M/M/1 retrial queue with collisions and working vacation interruption under N-policy. We use a quasi birth and death process to describe the considered system and derive a condition for the stability of the model. Using the matrix-analytic method, we obtain the stationary probability distribution and some performance measures. Furthermore, we prove the conditional stochastic decomposition for the queue length in the orbit. Finally, some numerical examples are presented.
Modèles analytiques de routeurs
Modèles Analytiques de Routeurs
We focus on performance study of routers in high-speed network through a queuing network analytical model. Such a model gives accurate results about classical performance criteria. For example, analytical study of packet loss probabilities in a router uses a product-form queuing network. The analytical results are compared to simulation results, and they provide routers managers with invaluable information for internal memories tuning.
Modeling and optimization of M/G/1-type queueing networks: an efficient sensitivity analysis approach.
Multi-armed restless bandits, index policies, and dynamic priority allocation.
Multiclass Hammersley–Aldous–Diaconis process and multiclass-customer queues
In the Hammersley–Aldous–Diaconis process, infinitely many particles sit in ℝ and at most one particle is allowed at each position. A particle at x, whose nearest neighbor to the right is at y, jumps at rate y−x to a position uniformly distributed in the interval (x, y). The basic coupling between trajectories with different initial configuration induces a process with different classes of particles. We show that the invariant measures for the two-class process can be obtained as follows. First,...
Multi-criteria bandwidth allocation
Multi-dimensional quasi-Toeplitz Markov chains.
Multiserver queueing networks and the tandem queue model.
Multi-threshold control of the queue with group services.
Network of queues modeling in flexible manufacturing systems : a survey
Non-stationary departure process in a batch-arrival queue with finite buffer capacity and threshold-type control mechanism
Non-stationary behavior of departure process in a finite-buffer -type queueing model with batch arrivals, in which a threshold-type waking up -policy is implemented, is studied. According to this policy, after each idle time a new busy period is being started with the th message occurrence, where the threshold value is fixed. Using the analytical approach based on the idea of an embedded Markov chain, integral equations, continuous total probability law, renewal theory and linear algebra, a...
O jednom modelu hromadné obsluhy
On a bulk queueing system with impatient customers.
On a Class of Correlated Queueing Problems
On a discrete modified queue
The busy period distribution of a discrete modified queue , with finitely or infinitely many severs , and with different distribution functions of customer service times is derived.
On a loss queueing system with the reserve channel
On a model for the storage of files on a hardware: statistics at a fixed time and asymptotic regimes.