The Mathematical Modeling for the Contention-Collision Cancellation Access Mode of the Ⅵth System Model to a Multiple Star LAN Under Heavy Load

LU Zhao-yi; YANG Xing-mei; WANG Chao

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The Mathematical Modeling for the Contention-Collision Cancellation Access Mode of the Ⅵth System Model to a Multiple Star LAN Under Heavy Load

更新时间：2025-07-16

- The Mathematical Modeling for the Contention-Collision Cancellation Access Mode of the Ⅵth System Model to a Multiple Star LAN Under Heavy Load
- Acta Electronica Sinica Vol. 35, Issue 10, Pages: 1817-1822(2007)
- 作者机构：
  
  1. 青岛大学信息工程学院,山东,青岛,266071
  2. 青岛市人口计生委信息中心,山东,青岛,266071
  3. 青岛大学信息工程学院山东青岛,266071
  4. 青岛市人口计生委信息中心山东青岛,266071
- 作者简介：
- 基金信息：
- DOI：
  CLC： O226
- Published：2007
- 稿件说明：
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LU Zhao-yi, YANG Xing-mei, WANG Chao. The Mathematical Modeling for the Contention-Collision Cancellation Access Mode of the Ⅵth System Model to a Multiple Star LAN Under Heavy Load[J]. Acta Electronica Sinica, 2007, 35(10): 1817-1822.
DOI：

LU Zhao-yi, YANG Xing-mei, WANG Chao. The Mathematical Modeling for the Contention-Collision Cancellation Access Mode of the Ⅵth System Model to a Multiple Star LAN Under Heavy Load[J]. Acta Electronica Sinica, 2007, 35(10): 1817-1822. DOI：

摘要

多星LAN的"竞争-冲突淘汰存取方式"共分六类

在完成了多星LAN的"竞争-冲突淘汰"存取方式Ⅰ类、Ⅱ类、Ⅲ类、Ⅳ类、Ⅴ类系统模型的数学建模之后

本文就重负载下Ⅵ类系统模型进行了数学建模

提出了顾客转移概率

、平稳状态下系统平均队长

、顾客平均滞留时间

等的算式.同时进行了模拟试验

且与Ⅳ类、Ⅴ类模型进行了比较.为"竞争-冲突淘汰"存取方式在星形LAN的应用奠定了理论基础.

Abstract

The contention-collision cancellation access mode in multi-star LAN can be divided into six different models according to its working mechanism.The mathematical analysis for the Ⅰth

Ⅱth

Ⅲth

Ⅳth and Ⅴth models have been presented and discussed.In this paper

the Ⅵth system model under heavy load is studied

gets expressions for the transfer probability of the customers

the mean number of customers in the steady state

and the mean detained time of the customers in the system

and so on.Simulation experient results are compared with the Ⅱth and Ⅳth one.So far

the theory foundation of the contention-collision cancellation access mode has been established for its application in star LAN.

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Lu Zhaoyi

斉藤忠夫

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Dept,of Electronic,Lanzhou University,Lanzhou 730000) Tadao Saito

东京大学电子工学科兰州 730000

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