{"title":"有群组泊松流的队列系统中的队列分散","authors":"","doi":"10.18469/ikt.2023.21.3.01","DOIUrl":null,"url":null,"abstract":"The application of interval methods for queue analysis in queuing systems with group Poisson flows is considered. It is shown that, for a given load, the average value of queue sizes in systems with such flows is determined by the dispersion of the numbers of requests arriving during the processing time intervals of one request, and the specified dispersion depends linearly on the load factor. Relations are obtained that determine the dispersion of queue sizes in queuing systems with group Poisson flows. It is shown that this dispersion depends on the third central moment of the numbers of applications arriving during the time intervals of processing one application. The dispersions of the queues of two different group flows, which have the same dependencies of the average values of the queues, differ in the values of the indicated central moments.","PeriodicalId":508406,"journal":{"name":"Infokommunikacionnye tehnologii","volume":"21 8","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"QUEUE DISPERSION IN QUEUE SYSTEMS WITH GROUP POISSON FLOWS\",\"authors\":\"\",\"doi\":\"10.18469/ikt.2023.21.3.01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The application of interval methods for queue analysis in queuing systems with group Poisson flows is considered. It is shown that, for a given load, the average value of queue sizes in systems with such flows is determined by the dispersion of the numbers of requests arriving during the processing time intervals of one request, and the specified dispersion depends linearly on the load factor. Relations are obtained that determine the dispersion of queue sizes in queuing systems with group Poisson flows. It is shown that this dispersion depends on the third central moment of the numbers of applications arriving during the time intervals of processing one application. The dispersions of the queues of two different group flows, which have the same dependencies of the average values of the queues, differ in the values of the indicated central moments.\",\"PeriodicalId\":508406,\"journal\":{\"name\":\"Infokommunikacionnye tehnologii\",\"volume\":\"21 8\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Infokommunikacionnye tehnologii\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18469/ikt.2023.21.3.01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Infokommunikacionnye tehnologii","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18469/ikt.2023.21.3.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
QUEUE DISPERSION IN QUEUE SYSTEMS WITH GROUP POISSON FLOWS
The application of interval methods for queue analysis in queuing systems with group Poisson flows is considered. It is shown that, for a given load, the average value of queue sizes in systems with such flows is determined by the dispersion of the numbers of requests arriving during the processing time intervals of one request, and the specified dispersion depends linearly on the load factor. Relations are obtained that determine the dispersion of queue sizes in queuing systems with group Poisson flows. It is shown that this dispersion depends on the third central moment of the numbers of applications arriving during the time intervals of processing one application. The dispersions of the queues of two different group flows, which have the same dependencies of the average values of the queues, differ in the values of the indicated central moments.
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