Systems with selective overflow and change of bandwidth

Villy Bæk Iversen

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    Abstract

    We consider a loss system with n channels and a finite or infinite overflow group, which is offered N different services, all having Poisson arrival processes. All calls have same bandwidth demand and mean service time, but the mean service time may be different on the primary group and the overflow group, corresponding to data traffic with different bandwidth allocation on primary (micro-cell = femto-cell) and overflow group (macro-cell = LTE-cell). Then using a result of Wallström we can calculate the Binomial moments of the total overflow traffic. Given a certain number of busy channels on the overflow group, we show by balance equations that the number of calls of each service will be Multinomial distributed with probabilities proportional with the arrival rates. Using a recent result of Newcomer & al, we then find moments (done up to fourth order) of individual overflow streams or any combinations of overflow streams. Thus we can find the correlation between services and for example the moments of some traffic streams which may overflow to one system, whereas other traffic streams may be blocked or overflow to another system.
    Original languageEnglish
    Title of host publicationFirst IEEE International Conference on Communications in China: Wireless Networking and Applications (WNA)
    PublisherIEEE
    Publication date2012
    Pages694-697
    ISBN (Print)978-1-4673-2815-9, 978-1-4673-2813-5
    DOIs
    Publication statusPublished - 2012
    Event1st IEEE Intenational Conference on Communications in China (ICCC 2012) : Wireless networking and applications (WNA) - Beijing, China
    Duration: 15 Aug 201218 Aug 2012
    http://www.ieee-iccc.org/

    Conference

    Conference1st IEEE Intenational Conference on Communications in China (ICCC 2012) : Wireless networking and applications (WNA)
    Country/TerritoryChina
    CityBeijing
    Period15/08/201218/08/2012
    Internet address

    Bibliographical note

    Copyright 2012 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

    IEEE Catalog number: CFP12ICL-USB .

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