G-Réseaux dans un environnement aléatoire
G-Réseaux dans un environnement aléatoire
We study networks with positive and negative customers (or Generalized networks of queues and signals) in a random environment. This environment may change the arrival rates, the routing probabilities, the service rates and also the effect of signals. We prove that the steady-state distribution has a product form. This property is obtained as a corollary of a much more general result on multidimensional Markov chains.
Identification of waiting time distribution of M/G/1, M x/G/1, GI r/M/1 queueing systems.
Intégrabilité des temps de renouvellement des files d'attente et applications
Interloss time in loss system.
Joint distribution of the busy and idle periods of a discrete modified queue
For a discrete modified queue, , where the service times of all customers served during any busy period are independent random variables with not necessarily identical distribution functions, the joint distribution of the busy period, the subsequent idle period and the number of customers served during the busy period is derived. The formulae presented are in a convenient form for practical use. The paper is a continuation of [5], where the discrete modified queue has been studied.
Joint distribution of the number of customers in the queue and the number of batches served at time within a busy period
Joint distribution of waiting time and queue size for single server queues [Book]
Large deviations for tandem queueing systems.
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.
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...
Maintenance in single-server queues: a game-theoretic approach.
Markov chains with transition delta-matrix: Ergodicity conditions, invariant probability measures and applications.
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...
Methods for estimating vehicle queues at a marine terminal: a computational comparison
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.