Displaying similar documents to “Analysis of Operating Characteristics for the Heterogeneous Batch Arrival Queue with Server Startup and Breakdowns”

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...

Optimal QoS control of interacting service stations

Abdelkrim Haqiq, I. Lambadaris, N. Mikou, L. Orozco–Barbosa (2010)

RAIRO - Operations Research

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We consider a system of three queues and two types of packets. Each packet arriving at this system finds in front of it a controller who either sends it in the first queue or rejects it according to a QoS criterion. When the packet finishes its service in the first queue, it is probabilistically routed to one of two other parallel queues. The objective is to minimize a QoS discounted cost over an infinite horizon. The cost function is composed of a waiting cost per packet in each queue...

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...

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...

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

M. Haridass, R. Arumuganathan (2012)

RAIRO - Operations Research - Recherche Opérationnelle

Similarity:

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 secondary job is interrupted abruptly and the server resumes...

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...

About the cumulative idle time in multiphase queues

Saulius Minkevičius, Stasys Steišūnas (2010)

RAIRO - Operations Research

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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 ( cellular mobile networks),...