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Journal ArticleDOI

The state-dependent queue : M/M/1/N with reneging and general balk functions

M.O. Abou-El-Ata
- 01 Jan 1991 - 
- Vol. 31, Iss: 5, pp 1001-1007
TLDR
In this paper, the truncated single channel queue with state-dependent, reneging and general balk functions is considered, and the probability there are n units in the system, and also some measures of effectiveness are deduced in the steady-state case.
About
This article is published in Microelectronics Reliability.The article was published on 1991-01-01. It has received 15 citations till now. The article focuses on the topics: Burke's theorem & M/M/c queue.

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Citations
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Journal ArticleDOI

Fundamentals of Queueing Theory

TL;DR: The Fundamentals of Queueing Theory, Fourth Edition as discussed by the authors provides a comprehensive overview of simple and more advanced queuing models, with a self-contained presentation of key concepts and formulae.
Journal ArticleDOI

A matrix approach for the transient solution of an M/M/1/N queue with discouraged arrivals and reneging

TL;DR: This paper illustrates a computable matrix technique that can be used to derive explicit expressions for the transient state probabilities of a finite waiting space single-server queue, namely (M/M/1/N), having discouraged arrivals and reneging.
Journal ArticleDOI

Analysis of Finite Buffer Markovian Queue with Balking, Reneging and Working Vacations

TL;DR: The analysis of a finite buffer M/M/1 queue with multiple and single working vacations with Steady-state behavior is considered and various performance measures, some special cases of the model and cost analysis are discussed.
Journal ArticleDOI

Optimization of Balking and Reneging Queue with VacationInterruption under -Policy

TL;DR: In this paper, a finite buffer multiple working vacations queue with balking, reneging, and vacation interruption under -policy is analyzed. And the authors derive the stationary system length distributions at arbitrary epoch.
Journal ArticleDOI

Study of customers' impatience in a GI/M/1/N queue with working vacations

TL;DR: This paper presents a renewal input finite buffer queueing system with balking, reneging and multiple working vacations, and provides a recursive algorithm to compute the stationary system length distributions during vacations and regular busy periods.
References
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Book

Fundamentals of queueing theory

TL;DR: The Fundamentals of Queueing Theory, Fourth Edition as discussed by the authors provides a comprehensive overview of simple and more advanced queuing models, with a self-contained presentation of key concepts and formulae.
Journal ArticleDOI

Fundamentals of Queueing Theory

TL;DR: The Fundamentals of Queueing Theory, Fourth Edition as discussed by the authors provides a comprehensive overview of simple and more advanced queuing models, with a self-contained presentation of key concepts and formulae.
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