Displaying similar documents to “Little's formula for work-conserving normal G/G/1 queues in series”

Performance analysis of single server non-markovian retrial queue with working vacation and constant retrial policy

V. Jailaxmi, R. Arumuganathan, M. Senthil Kumar (2014)

RAIRO - Operations Research - Recherche Opérationnelle

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This paper analyses an M/G/1 retrial queue with working vacation and constant retrial policy. As soon as the system becomes empty, the server begins a working vacation. The server works with different service rates rather than completely stopping service during a vacation. We construct the mathematical model and derive the steady-state queue distribution of number of customer in the retrial group. The effects of various performance measures are derived.

Analyzing discrete-time bulk-service queue

Veena Goswami, Umesh C. Gupta, Sujit K. Samanta (2006)

RAIRO - Operations Research

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This paper analyzes a discrete-time multi-server queue in which service capacity of each server is a minimum of one and a maximum of customers. The interarrival- and service-times are assumed to be independent and geometrically distributed. The queue is analyzed under the assumptions of early arrival system and late arrival system with delayed access. Besides, obtaining state probabilities at arbitrary and outside observer's observation epochs, some performance measures and waiting-time...

Restricted admissibility of batches into an M / G /1 type bulk queue with modified Bernoulli schedule server vacations

Kailash C. Madan, Walid Abu-Dayyeh (2002)

ESAIM: Probability and Statistics

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We investigate the steady state behavior of an M / G /1 queue with modified Bernoulli schedule server vacations. Batches of variable size arrive at the system according to a compound Poisson process. However, all arriving batches are not allowed into the system. The restriction policy differs when the server is available in the system and when he is on vacation. We obtain in closed form, the steady state probability generating functions for the number of customers in the queue for various...