Displaying similar documents to “Analysis of a MX/G(a,b)/1 queueing system with vacation interruption”

Analysis of a M/G(a,b)/1 queueing system with vacation interruption

M. Haridass, R. Arumuganathan (2012)

RAIRO - Operations Research

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In this paper, a batch arrival general bulk service queueing system with interrupted vacation (secondary job) is considered. At a service completion epoch, if the server finds at least ‘’ customers waiting for service say , he serves a batch of min (, b) customers, where  ≥ . On the other hand, if the queue length is at the most ‘-1’, the server leaves for a secondary job (vacation) of random length. It is assumed that the...

An MX/G/1 unreliable retrial queue with two phase service and persistence behaviour of customers in service

M. Senthil Kumar, R. Arumuganathan (2013)

RAIRO - Operations Research - Recherche Opérationnelle

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This paper describes an unreliable server batch arrival retrial queue with two types of repair and second optional service. The server provides preliminary first essential service (FES) to the primary arriving customers or customers from retrial group. On successful completion of FES, the customer may opt for second optional service (SOS) with probability . The server is subject to active break downs. The customer under FES (or SOS) during the failure decides, with probability , to join...

The MX/M/1 queue with working breakdown

Zaiming Liu, Yang Song (2014)

RAIRO - Operations Research - Recherche Opérationnelle

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In this paper, we consider a batch arrival //1 queue model with working breakdown. The server may be subject to a service breakdown when it is busy, rather than completely stoping service, it will decrease its service rate. For this model, we analyze a two-dimensional Markov chain and give its quasi upper triangle transition probability matrix. Under the system stability condition, we derive the probability generating function (PGF) of the stationary queue length, and...

Maximum likelihood estimates and confidence intervals of an M/M/R/N queue with balking and heterogeneous servers

Kuo-Hsiung Wang, Sheau-Chyi Chen, Jau-Chuan Ke (2010)

RAIRO - Operations Research

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This paper considers an M/M/R/N queue with heterogeneous servers in which customers balk (do not enter) with a constant probability (1 - . 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...

Characterization of the departure process from an queue

Jayesh Kumaran, Kenneth Mitchell, Appie van de Liefvoort (2010)

RAIRO - Operations Research

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In this paper we propose a family of finite approximations for the departure process of an queue indexed by a parameter defined as the system size of the finite approximation. The approximations capture the interdeparture times from an queue exactly and preserve the lag correlations of inter-event times of the departures from an queue up to lag ( - 1).

Analysis of Operating Characteristics for the Heterogeneous Batch Arrival Queue with Server Startup and Breakdowns

Jau-Chuan Ke, Kuo-Hsiung Wang (2010)

RAIRO - Operations Research

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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 ( begins startup) when units are accumulated in the system and off when the system is empty. We model this system by an M/M/1 queue with server breakdowns and startup time under the  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 to...

Restricted Admissibility of Batches into an //1 Type Bulk Queue with Modified Bernoulli Schedule Server Vacations

Kailash C. Madan, Walid Abu–Dayyeh (2010)

ESAIM: Probability and Statistics

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We investigate the steady state behavior of an //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...