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Proceedings ArticleDOI

Performance Analysis of Discrete-Time Erlang Loss System

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TLDR
A discrete-time Geom/Geom/c/c Erlang loss system is studied, which gives the function equation that the generating function of the number of customers satisfies in steady-state system, and the formula of stationary mean queue length is derived.
Abstract
We study a discrete-time Geom/Geom/c/c Erlang loss system. In this queueing system, we give the function equation that the generating function of the number of customers satisfies in steady-state system, and get the formula of stationary mean queue length. Furthermore, we derive recursive method to compute stationary queue length probability and loss probability. Finally, using a numerical example, we exemplify the relation between loss probability, the mean number of customers and various parameters

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Citations
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Journal ArticleDOI

Discrete-time systems

TL;DR: This chapter develops the mathematical properties of discrete-time models that are used throughout the remainder of the text and begins with an example that illustrates how discrete- time models arise from analog systems under digital control.
Journal ArticleDOI

Modelling and optimization for cognitive radio networks with preemption backoff mechanism

TL;DR: In this article , a preemption backoff mechanism (PBM) with backoff threshold m and backoff parameter f was proposed to increase SU transmission continuity while guaranteeing PUs' transmission quality.
Proceedings ArticleDOI

Performance Analysis of Multi-channel Mobile Communication Systems Based on Discrete Time Queue

Ming-Xin Liu, +1 more
TL;DR: This paper model the base station of multi-channel mobile communication systems with finite user population discrete time queueing system using the method of Markov chain and derives the performance index such as probability of loss in one slot, the average throughput of the system, and the utilization ratio of channels.
Journal ArticleDOI

Performance analysis of voice over internet protocol via non Markovian loss system with preemptive priority and server break down

TL;DR: It is proposed to develop a multi-server, loss system with general service times, server breakdown and repair together with preemptive priority queuing discipline, for two types of customers: high priority and low priority.
Proceedings ArticleDOI

The method of active queue management based on air traffic network

TL;DR: A random early detection (RED) method for air traffic network was proposed, which determined the soft loss strategy with deducing the maximum threshold and average queue length.
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.
Book

Discrete-time models for communication systems including ATM

Herwig Bruneel, +1 more
TL;DR: This chapter discusses Discrete-Time Models and Applications, Applications to ATM, and more, which describes the development of the GI-G-1 Model and its applications.
Book

Communication and Computer Networks: Modelling With Discrete-Time Queues

TL;DR: In this age of modern era, the use of internet must be maximized, to get the on-line communication and computer networks modelling with discrete time queues book, as the world window, as many people suggest.
Journal ArticleDOI

Queueing Models for Computer Communications System Analysis

TL;DR: The present paper is intended to review the state of affairs of analytic methods, queueing analysis techniques in particular, which are essential to modeling of computer communication systems.
Journal ArticleDOI

Discrete-Time Queuing Theory

TL;DR: In this paper, a single-server queuing system for which time is treated as a discrete variable is analyzed, where the number of customers arriving within a fixed time interval is assumed to obey a binomial probability distribution.
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