{"title":"计算客户逗留时间在杰克逊网络分布函数和时刻","authors":"M. Ferreira","doi":"10.9734/bpi/ctmcs/v1/9530D","DOIUrl":null,"url":null,"abstract":"Jackson queuing networks have a lot of practical applications, mainly in services and technologic devices. For the first case, an example are the healthcare networks and, for the second, the computation and telecommunications networks. Evidently the time that a customer a person, a job, a message ... – spends in this kind of systems, its sojourn time, is an important measure of its performance, among others. In this work, the practical statistical known results about the sojourn time of a customer, in a Jackson network, distribution are collected and presented. And an emphasis is set on the numerical methods applicable to compute the distribution function and the moments.","PeriodicalId":344838,"journal":{"name":"Current Topics on Mathematics and Computer Science Vol. 1","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computing Customers Sojourn Times in Jackson Networks Distribution Functions and Moments\",\"authors\":\"M. Ferreira\",\"doi\":\"10.9734/bpi/ctmcs/v1/9530D\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Jackson queuing networks have a lot of practical applications, mainly in services and technologic devices. For the first case, an example are the healthcare networks and, for the second, the computation and telecommunications networks. Evidently the time that a customer a person, a job, a message ... – spends in this kind of systems, its sojourn time, is an important measure of its performance, among others. In this work, the practical statistical known results about the sojourn time of a customer, in a Jackson network, distribution are collected and presented. And an emphasis is set on the numerical methods applicable to compute the distribution function and the moments.\",\"PeriodicalId\":344838,\"journal\":{\"name\":\"Current Topics on Mathematics and Computer Science Vol. 1\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-05-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Current Topics on Mathematics and Computer Science Vol. 1\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/bpi/ctmcs/v1/9530D\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Current Topics on Mathematics and Computer Science Vol. 1","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/bpi/ctmcs/v1/9530D","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Computing Customers Sojourn Times in Jackson Networks Distribution Functions and Moments
Jackson queuing networks have a lot of practical applications, mainly in services and technologic devices. For the first case, an example are the healthcare networks and, for the second, the computation and telecommunications networks. Evidently the time that a customer a person, a job, a message ... – spends in this kind of systems, its sojourn time, is an important measure of its performance, among others. In this work, the practical statistical known results about the sojourn time of a customer, in a Jackson network, distribution are collected and presented. And an emphasis is set on the numerical methods applicable to compute the distribution function and the moments.