基于结构元理论的fgeom/fgeom/1 |
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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 Fuzzy discrete-time queuing system FGEOM/FGEOM/1 based on structural element theory 发布时间：2011-08-10 浏览量：31 收藏数：0 评论数：0 总览 评价 陈黎明1， 郭嗣琮2* （ 1、辽宁工程技术大学数学与系统科学研究所； 2、辽宁工程技术大学数学与系统科学研究所，辽宁省阜新市 123000； ）
摘要： 与连续时间排队相比，离散时间排队更适宜于计算机系统和数字通信网络性能分析的建模。但经典的离散时间排队系统的参数：顾客的平均到达率λ和平均服务率μ都是确定数。由于λ，μ往往由区间估计得到，所以把λ，μ当作模糊数处理更为合理。本文在FGEOM/FGEOM/1离散时间排队的基础上，利用模糊结构元理论，研究了λ，μ均为模糊数的FGEOM/FGEOM/1模糊离散时间排队系统，并利用该模糊离散时间排队对无限Buffer的Delta网进行了性能分析。
关键词： 模糊结构元；排队论；FGEOM/FGEOM/1排队；无限Buffer的Delta网性能分析 Chen Liming1， Guo Sicong2* （ 1、Institution of Mathematics and Systems Science , Liaoning Technical University； 2、Institution of Mathematics and Systems Science , Liaoning Technical University,Fuxin City, Liaoning Province 123000 ； ）
Abstract： Compared with continuous-time queue, Discrete time queue is more suitable for the analysis and modeling of computer systems and digital communication network performance. However, parameters in the classic discrete-time queuing system:customers ' average arrival rate λand average service rate μ are all destiny. As λ，μare often obtained by interval estimation,so it is more reasonable to regard λ，μas fuzzy numbers. This paper discusses fuzzy discrete-time queuing system FGEOM/FGEOM/1 in which λ，μ are all fuzzy numbers applying fuzzy structural element theory based on fuzzy discrete-time queuing system FGEOM/FGEOM/1.At last, performance of the unlimited buffer delta network is analyzed by means of the discrete time queue.
Keywords： Fuzzy structural element; Queuing theory; FGEOM/FGEOM/1 queue; Performance analysis of the unlimited buffer delta network
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