Displaying similar documents to “Reservicing some customers in M/G/1 queues under three disciplines.”

About the cumulative idle time in multiphase queues

Saulius Minkevičius, Stasys Steišūnas (2005)

RAIRO - Operations Research - Recherche Opérationnelle

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The paper is designated to the analysis of queueing systems, arising in the network theory and communications theory (called multiphase queueing systems, tandem queues or series of queueing systems). Also we note that multiphase queueing systems can be useful for modelling practical multi-stage service systems in a variety of disciplines, especially on manufacturing (assembly lines), computer networking (packet switch structures), and in telecommunications (e.g. cellular mobile networks),...

Analysis of operating characteristics for the heterogeneous batch arrival queue with server startup and breakdowns

Jau-Chuan Ke, Kuo-Hsiung Wang (2003)

RAIRO - Operations Research - Recherche Opérationnelle

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In this paper we consider a like-queue production system in which server startup and breakdowns are possible. The server is turned on (i.e. begins startup) when N units are accumulated in the system and off when the system is empty. We model this system by an M [ x ] /M/1 queue with server breakdowns and startup time under the N policy. The arrival rate varies according to the server’s status: off, startup, busy, or breakdown. While the server is working, he is subject to breakdowns according...

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...