【摘要】 关于多星LAN数学建模的研究,较长一个时期人们主要集中在单星LAN.截止目前该LAN中的"竞争-冲突淘汰"(Contention-Collision Cancellation,C-CC)介质存取方式已经完成了所有模型的数学建模和性能评价.由于数学方面存在困难,双星LAN数学建模的研究突破很晚,而且已报告的重负载下双星LAN的数学建模只推导了观察时点r系统顾客i>0(重负载的条件)、观察终端A存在顾客的条件下,A顾客在系统的平均时间ti.本文对重负载下双星LAN的Ⅰ类模型进行了性能再评价,求得了观察时点r系统顾客i>0、观察终端A无顾客的条件下,以r时点为起点至A终端第一次出现的顾客离开系统的平均时间τi,从而完善了双星LANⅠ类模型的数学建模;并进行了模拟实验.本文的结论为重负载下双星LAN的应用完善了理论依据.更多还原

【Abstract】 During the past long period,the mathematical modeling researches for multi-star LAN have been focusing on single-star LAN,for which all models and performance evaluation of the Contention-Collision Cancellation(C-CC) access mode have already finished.As there exists difficulty in math aspect,the breakthrough of mathematical modeling for double-star LAN is very late,and only deduced the time delay which is the mean waiting time of customers generated by the observing terminal A,on the condition that at the observing time point,there is i customers in system(i is greater than 0,i.e.based on heavy load) and terminal A has 1 customer.In this paper,the type I system model for double-star LAN based on heavy load is revaluated,and get the mean period of time from time point to the end of service for the customer generated firstly by terminal A,on the condition that at observing time point,there are i customers in system(i is greater than 0) and no customer in observing terminal A.This paper consummates the type I mathematical model for double-star LAN,and simulation.The conclusion provides the integrated theoretical foundation to the application of double-star LAN based on heavy load.更多还原