A Convolution Algorithm for a Multirate Loss System with Poisson Arrivals and a Threshold Call Admission Policy

I. D. Moscholios; V. G. Vassilakis; G. I. Bouloukakis; P. I. Panagoulias; M. D. Logothetis

doi:10.1109/CSNDSP.2018.8471771

A Convolution Algorithm for a Multirate Loss System with Poisson Arrivals and a Threshold Call Admission Policy

I. D. Moscholios, V. G. Vassilakis, G. I. Bouloukakis, P. I. Panagoulias, M. D. Logothetis

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper we study a single link, modelled as a loss system, that accommodates Poisson traffic originated from different service-classes. Calls of a service-class are distinguished to new and handover calls. New calls compete for the available link bandwidth under a threshold call admission policy. In this policy, new calls of a service-class are not allowed to enter the system if the number of in-service new and handover calls of the same service-class plus the new call, exceeds a threshold (different for each service-class). On the other hand, handover calls compete for the available link bandwidth under the complete sharing policy. The steady state probabilities in this model have a Product Form Solution (PFS). Due to the existence of a PFS, a convolution algorithm is proposed for the accurate calculation of call blocking probabilities and link utilization.

Original language	English
Title of host publication	2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781538613351
DOIs	https://doi.org/10.1109/CSNDSP.2018.8471771
Publication status	Published - 24 Sept 2018
Externally published	Yes
Event	11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018 - Budapest, Hungary Duration: 18 Jul 2018 → 20 Jul 2018

Publication series

Name	2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018

Conference

Conference	11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018
Country/Territory	Hungary
City	Budapest
Period	18/07/18 → 20/07/18

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10.1109/CSNDSP.2018.8471771

Cite this

Moscholios, I. D., Vassilakis, V. G., Bouloukakis, G. I., Panagoulias, P. I., & Logothetis, M. D. (2018). A Convolution Algorithm for a Multirate Loss System with Poisson Arrivals and a Threshold Call Admission Policy. In 2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018 Article 8471771 (2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CSNDSP.2018.8471771

Moscholios, I. D. ; Vassilakis, V. G. ; Bouloukakis, G. I. et al. / A Convolution Algorithm for a Multirate Loss System with Poisson Arrivals and a Threshold Call Admission Policy. 2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018. Institute of Electrical and Electronics Engineers Inc., 2018. (2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018).

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title = "A Convolution Algorithm for a Multirate Loss System with Poisson Arrivals and a Threshold Call Admission Policy",

abstract = "In this paper we study a single link, modelled as a loss system, that accommodates Poisson traffic originated from different service-classes. Calls of a service-class are distinguished to new and handover calls. New calls compete for the available link bandwidth under a threshold call admission policy. In this policy, new calls of a service-class are not allowed to enter the system if the number of in-service new and handover calls of the same service-class plus the new call, exceeds a threshold (different for each service-class). On the other hand, handover calls compete for the available link bandwidth under the complete sharing policy. The steady state probabilities in this model have a Product Form Solution (PFS). Due to the existence of a PFS, a convolution algorithm is proposed for the accurate calculation of call blocking probabilities and link utilization.",

author = "Moscholios, \{I. D.\} and Vassilakis, \{V. G.\} and Bouloukakis, \{G. I.\} and Panagoulias, \{P. I.\} and Logothetis, \{M. D.\}",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018 ; Conference date: 18-07-2018 Through 20-07-2018",

year = "2018",

month = sep,

day = "24",

doi = "10.1109/CSNDSP.2018.8471771",

language = "English",

series = "2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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Moscholios, ID, Vassilakis, VG, Bouloukakis, GI, Panagoulias, PI & Logothetis, MD 2018, A Convolution Algorithm for a Multirate Loss System with Poisson Arrivals and a Threshold Call Admission Policy. in 2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018., 8471771, 2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018, Institute of Electrical and Electronics Engineers Inc., 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018, Budapest, Hungary, 18/07/18. https://doi.org/10.1109/CSNDSP.2018.8471771

A Convolution Algorithm for a Multirate Loss System with Poisson Arrivals and a Threshold Call Admission Policy. / Moscholios, I. D.; Vassilakis, V. G.; Bouloukakis, G. I. et al.
2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018. Institute of Electrical and Electronics Engineers Inc., 2018. 8471771 (2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Panagoulias, P. I.

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N2 - In this paper we study a single link, modelled as a loss system, that accommodates Poisson traffic originated from different service-classes. Calls of a service-class are distinguished to new and handover calls. New calls compete for the available link bandwidth under a threshold call admission policy. In this policy, new calls of a service-class are not allowed to enter the system if the number of in-service new and handover calls of the same service-class plus the new call, exceeds a threshold (different for each service-class). On the other hand, handover calls compete for the available link bandwidth under the complete sharing policy. The steady state probabilities in this model have a Product Form Solution (PFS). Due to the existence of a PFS, a convolution algorithm is proposed for the accurate calculation of call blocking probabilities and link utilization.

AB - In this paper we study a single link, modelled as a loss system, that accommodates Poisson traffic originated from different service-classes. Calls of a service-class are distinguished to new and handover calls. New calls compete for the available link bandwidth under a threshold call admission policy. In this policy, new calls of a service-class are not allowed to enter the system if the number of in-service new and handover calls of the same service-class plus the new call, exceeds a threshold (different for each service-class). On the other hand, handover calls compete for the available link bandwidth under the complete sharing policy. The steady state probabilities in this model have a Product Form Solution (PFS). Due to the existence of a PFS, a convolution algorithm is proposed for the accurate calculation of call blocking probabilities and link utilization.

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Moscholios ID, Vassilakis VG, Bouloukakis GI, Panagoulias PI, Logothetis MD. A Convolution Algorithm for a Multirate Loss System with Poisson Arrivals and a Threshold Call Admission Policy. In 2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018. Institute of Electrical and Electronics Engineers Inc. 2018. 8471771. (2018 11th International Symposium on Communication Systems, Networks and Digital Signal Processing, CSNDSP 2018). doi: 10.1109/CSNDSP.2018.8471771

A Convolution Algorithm for a Multirate Loss System with Poisson Arrivals and a Threshold Call Admission Policy

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