Limit distributions for queues and random rooted trees.
Limited space double channel Markovian queue with heterogeneus servers.
For a double channel Markovian queue with finite waiting space and unequal service rates at the two counters, the difference equations satisfied by the Laplace transforms of the state probabilities at finite time are solved and the state probabilities have been obtained. The closed form of the state probabilities can be used to obtain the important parameters of the system.
Limites d'emploi imposées par la contrainte de sélectivité aux systèmes de transport guidé en site propre
Little's formula for work-conserving normal G/G/1 queues in series
Machine Repair Problem in Production Systems with Spares and Server Vacations
This paper studies the machine repair problem consisting of M operating machines with S spare machines, and R servers (repairmen) who leave for a vacation of random length when there are no failed machines queuing up for repair in the repair facility. At the end of the vacation the servers return to the repair facility and operate one of three vacation policies: single vacation, multiple vacation, and hybrid single/multiple vacation. The Markov process and the matrix-geometric approach are used...
Markov chains with quasi-Toeplitz transition matrix: Applications.
Markov chains with transition delta-matrix: Ergodicity conditions, invariant probability measures and applications.
Martingale proofs of many-server heavy-traffic limits for Markovian queues.
Maximum likelihood estimates and confidence intervals of an M/M/R/N queue with balking and heterogeneous servers
This paper considers an M/M/R/N queue with heterogeneous servers in which customers balk (do not enter) with a constant probability . We develop the maximum likelihood estimates of the parameters for the M/M/R/N queue with balking and heterogeneous servers. This is a generalization of the M/M/2 queue with heterogeneous servers (without balking), and the M/M/2/N queue with balking and heterogeneous servers in the literature. We also develop the confidence interval formula for the parameter , the...
Maximum likelihood estimates and confidence intervals of an M/M/R/N queue with balking and heterogeneous servers
This paper considers an M/M/R/N queue with heterogeneous servers in which customers balk (do not enter) with a constant probability (1 - b). We develop the maximum likelihood estimates of the parameters for the M/M/R/N queue with balking and heterogeneous servers. This is a generalization of the M/M/2 queue with heterogeneous servers (without balking), and the M/M/2/N queue with balking and heterogeneous servers in the literature. We also develop the confidence interval formula for the parameter...
Mean time for the development of large workloads and large queue lengths in the GI/G/1 queue.
M/G/1 queueing system with "fagging'' service channel
M/G/1 vacation model with limited service discipline and hybrid switching-on policy.
M/G/1 with exceptional service and arrival rate
M/G/1/K system with push-out scheme under vacation policy.
“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.
Modélisation avec pivot pour une loi générale
Modélisation d'une architecture parallèle pour le traitement d'images