Factorization of the distribution function of waiting time
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Finite buffer GI/Geo/ 1 batch servicing queue with multiple working vacations
This paper analyzes a discrete-time finite buffer renewal input queue with multiple working vacations where services are performed in batches of maximum size “b”. The service times both during a regular service period and vacation period and vacation times are geometrically distributed. Employing the supplementary variable and imbedded Markov chain techniques, we derive the steady-state queue length distributions at pre-arrival, arbitrary and outside observer’s observation epochs. Based on the queue...
First excess levels of vector processes.
First passage processes in queueing system with service delay discipline.
Fluid limits for the queue length of jobs in multiserver open queueing networks
The object of this research in the queueing theory is a theorem about the Strong-Law-of-Large-Numbers (SLLN) under the conditions of heavy traffic in a multiserver open queueing network. SLLN is known as a fluid limit or fluid approximation. In this work, we prove that the long-term average rate of growth of the queue length process of a multiserver open queueing network under heavy traffic strongly converges to a particular vector of rates. SLLN is proved for the values of an important probabilistic...
Fluid limits of optimally controlled queueing networks.
Fluid queues driven by a birth and death process with alternating flow rates.
Fluid queues driven by a discouraged arrivals queue.
Fluid queues driven by an M/M/1/N queue.
Forme produit pour des réseaux multiclasses à routages dynamiques
Formule du produit et décomposition de réseaux de files d'attente