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基于结构元理论的FGEOM/FGEOM/1模糊离散时间排队系统

发表时间:2012-01-15  浏览量:1692  下载量:565
全部作者: 陈黎明,郭嗣琮
作者单位: 辽宁工程技术大学理学院
摘 要: 在GEOM/GEOM/1离散时间排队的基础上,利用模糊结构元理论,研究λ,μ均为模糊数的FGEOM/FGEOM/1模糊离散时间排队系统,有效地解决了模糊随机服务系统中常常遇到的基于扩张原理的大量模糊数运算带来的复杂性和不可行性,得到FGEOM/FGEOM/1排队的3个主要指标——平均队长、平均等待时间和平均逗留时间的结构元表达式及隶属函数。最后,利用该模糊离散时间排队模型对无限Buffer-Delta网进行性能分析,得到其信息包平均滞留数和系统平均延时的结构元表达式及隶属函数,为实现对无限Buffer-Delta网的模糊控制奠定了基础。
关 键 词: 模糊数学;模糊结构元;排队论;FGEOM/FGEOM/1排队;无限Buffer-Delta网性能分析
Title: Fuzzy discrete-time queuing system FGEOM/FGEOM/1 based on structural element theory
Author: CHEN Liming, GUO Sicong
Organization: College of Science, Liaoning Technical University
Abstract: Fuzzy discrete-time queuing system FGEOM/FGEOM/1 with fuzzy parameters λ and μ is analyzed in this paper applying fuzzy structural element theory based on discrete-time queuing system GEOM/GEOM/1 in order to overcome the complicacy and infeasibility of fuzzy operation based on extension principle in fuzzy random service system. The fuzzy structural element expression and membership function of three main indexes including average queue length, in FGEOM/FGEOM/1 are obtained. At last, performance of the unlimited buffer delta network is analyzed by means of the discrete-time queuing model. The similar result as above concerning its message packet average detention time and system average delay time is obtained, which establishes foundation for its fuzzy control.
Key words: fuzzy mathematics; fuzzy structural element; queuing theory; FGEOM/FGEOM/1 queue; performance analysis of the unlimited Buffer Delta network
发表期数: 2012年1月第1期
引用格式: 陈黎明,郭嗣琮. 基于结构元理论的FGEOM/FGEOM/1模糊离散时间排队系统[J]. 中国科技论文在线精品论文,2012,5(1):18-24.
 
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