## Systems with selective overflow and change of bandwidth

Publication: Research - peer-review › Article in proceedings – Annual report year: 2012

### Standard

**Systems with selective overflow and change of bandwidth.** / Iversen, Villy Bæk.

Publication: Research - peer-review › Article in proceedings – Annual report year: 2012

### Harvard

*First IEEE International Conference on Communications in China: Wireless Networking and Applications (WNA).*IEEE, pp. 694-697 . DOI: 10.1109/ICCChina.2012.6356973

### APA

*First IEEE International Conference on Communications in China: Wireless Networking and Applications (WNA).*(pp. 694-697 ). IEEE. DOI: 10.1109/ICCChina.2012.6356973

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### MLA

*First IEEE International Conference on Communications in China: Wireless Networking and Applications (WNA).*IEEE. 2012. 694-697 . Available: 10.1109/ICCChina.2012.6356973

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### Author

### Bibtex

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### RIS

TY - GEN

T1 - Systems with selective overflow and change of bandwidth

AU - Iversen,Villy Bæk

N1 - 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 .

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

U2 - 10.1109/ICCChina.2012.6356973

DO - 10.1109/ICCChina.2012.6356973

M3 - Article in proceedings

SN - 978-1-4673-2815-9

SN - 978-1-4673-2813-5

SP - 694

EP - 697

BT - First IEEE International Conference on Communications in China: Wireless Networking and Applications (WNA)

PB - IEEE

ER -