Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served Queries

Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served Queries

This work devoted to researching of mathematical model of non-stationary queuing system (NQS). Arrival rate in studied NQS λ(t) is similar to rate which observed in practice in a real access control system of objects of mass events. Dependence of number of serviced requests from time was calculated....

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Main Authors: Porshnev Sergey, Korelin Ivan
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:ITM Web of Conferences
Online Access:https://doi.org/10.1051/itmconf/20171003006
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spelling doaj-06ab11f3a6b54168aa6c23b1676c2aa22021-02-02T03:45:26ZengEDP SciencesITM Web of Conferences2271-20972017-01-01100300610.1051/itmconf/20171003006itmconf_sa2017_03006Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served QueriesPorshnev Sergey0Korelin Ivan1Ural Federal University, Institute of Radioelectronics and Information TechnologiesUral Federal University, Institute of Radioelectronics and Information TechnologiesThis work devoted to researching of mathematical model of non-stationary queuing system (NQS). Arrival rate in studied NQS λ(t) is similar to rate which observed in practice in a real access control system of objects of mass events. Dependence of number of serviced requests from time was calculated. It is proven that the ratio value of served requests at the beginning of event to all served requests described by a deterministic function, depending on the average service rate μ¯$\bar \mu $ and the maximum value of the arrival rate function λ(t).https://doi.org/10.1051/itmconf/20171003006
collection DOAJ
language English
format Article
sources DOAJ
author Porshnev Sergey
Korelin Ivan
spellingShingle Porshnev Sergey
Korelin Ivan
Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served Queries
ITM Web of Conferences
author_facet Porshnev Sergey
Korelin Ivan
author_sort Porshnev Sergey
title Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served Queries
title_short Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served Queries
title_full Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served Queries
title_fullStr Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served Queries
title_full_unstemmed Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served Queries
title_sort non-stationary single-channel queuing system features research in context of number of served queries
publisher EDP Sciences
series ITM Web of Conferences
issn 2271-2097
publishDate 2017-01-01
description This work devoted to researching of mathematical model of non-stationary queuing system (NQS). Arrival rate in studied NQS λ(t) is similar to rate which observed in practice in a real access control system of objects of mass events. Dependence of number of serviced requests from time was calculated. It is proven that the ratio value of served requests at the beginning of event to all served requests described by a deterministic function, depending on the average service rate μ¯$\bar \mu $ and the maximum value of the arrival rate function λ(t).
url https://doi.org/10.1051/itmconf/20171003006
work_keys_str_mv AT porshnevsergey nonstationarysinglechannelqueuingsystemfeaturesresearchincontextofnumberofservedqueries
AT korelinivan nonstationarysinglechannelqueuingsystemfeaturesresearchincontextofnumberofservedqueries
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