Tables for Multiple-Server Queueing Systems Involving Erlang Distributions.
Tables for Multiple-Server Queueing Systems Involving Erlang Distributions.
复制标题
涉及 Erlang 发行版的多服务器排队系统表。
DOI：
--
复制
发表时间：
1972
期刊：
影响因子：
--
通讯作者：
Frederick D. Lo
中科院分区：
文献类型：
--
作者：
F. Hillier;Frederick D. Lo
摘要：最近的理论工作提供了手段，使数值结果可以得到的多服务器的嵌入式系统的稳态行为，涉及Erlang（伽马）分布。本报告介绍了为获得这些数据而开展的一个综合计算项目的结果。一组表给出了19个具有泊松输入过程和Erlang服务时间的多服务器系统的16个不同的rho（利用因子）值的系统中客户数的完整概率分布。附带的表格总结了（1）等待概率，（2）队列中的预期数量，以及（3）对于这些相同情况的系统中的预期数量。还提供了具有Erlang间隔时间的25个系统的摘要信息，并且给出了rho = 0.9的完整分布。（作者）
Abstract : Recent theoretical work has provided the means whereby numerical results can be obtained on the steady-state behavior of multiple-server queueing systems involving Erlang (gamma) distributions. The report presents the results of a comprehensive computational project undertaken to obtain these data. One set of tables gives the complete probability distribution of the number of customers in the system for 16 different values of rho (utilization factor) for 19 multiple-server systems having a Poisson input process and Erlang service times. Accompanying tables summarize (1) probability of waiting, (2) expected number in the queue, and (3) expected number in the system for these same cases. The summary information also is presented for 25 systems having Erlang interarrival times as well, and the complete distribution is given for rho = 0.9. (Author)