Performance analysis for loss systems with many subscribers and concurrent services

Hans Daduna; Ruslan Krenzler

doi:10.1007/978-3-030-43024-5_8

Performance analysis for loss systems with many subscribers and concurrent services

Hans Daduna^*
, Ruslan Krenzler

^*Corresponding author for this work

University of Hamburg

Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review

1 Citation (Scopus)

Abstract

We present models for performance analysis of IPTV services. The main topic is to model the interplay of the restricted number of channels, the larger number of available programs to be transmitted over the channels, and the concurrent access of many users to the same program, resp. channel (multicast services). In a simple Engset-like model we compute loss probabilities avoiding to count the number of concurrent users in the system. With a more detailed model where we explicitly count the number of concurrent users for the active channels we show how to compute revenue for the provider and loss probabilities as well. This model can be considered as a stratified system of different queueing systems. The main results are in both cases expressions for steady state distributions of simple structure, indicating separability.

Original language	English
Title of host publication	Measurement, Modelling and Evaluation of Computing Systems : 20th International GI/ITG Conference, MMB 2020, Saarbrücken, Germany, March 16–18, 2020, Proceedings
Editors	Holger Hermanns
Number of pages	18
Place of Publication	Cham
Publisher	Springer Verlag
Publication date	2020
Pages	118-135
ISBN (Print)	978-3-030-43023-8, 978-3-030-43025-2
ISBN (Electronic)	978-3-030-43024-5
DOIs	https://doi.org/10.1007/978-3-030-43024-5_8
Publication status	Published - 2020
Event	20th International GI/ITG Conference on Measurement, Modelling and Evaluation of Computing Systems, MMB 2020 - Saarbrücken, Germany Duration: 16.03.2020 → 18.03.2020 Conference number: 20 https://www.mmb2020.de/

Research areas and keywords

Concurrent services
Generalized Engset formula
Insensitivity
IPTV
Loss probability
Multichannel loss system
Revenue
Separability
Business informatics

Access to Document

10.1007/978-3-030-43024-5_8

Cite this

Daduna, H., & Krenzler, R. (2020). Performance analysis for loss systems with many subscribers and concurrent services. In H. Hermanns (Ed.), Measurement, Modelling and Evaluation of Computing Systems : 20th International GI/ITG Conference, MMB 2020, Saarbrücken, Germany, March 16–18, 2020, Proceedings (pp. 118-135). (Lecture Notes in Computer Science ; Vol. 12040 LNCS), (Programming and Software Engineering; Vol. 12040). Springer Verlag. https://doi.org/10.1007/978-3-030-43024-5_8

Daduna, Hans ; Krenzler, Ruslan. / Performance analysis for loss systems with many subscribers and concurrent services. Measurement, Modelling and Evaluation of Computing Systems : 20th International GI/ITG Conference, MMB 2020, Saarbrücken, Germany, March 16–18, 2020, Proceedings. editor / Holger Hermanns. Cham : Springer Verlag, 2020. pp. 118-135 (Lecture Notes in Computer Science ). (Programming and Software Engineering).

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abstract = "We present models for performance analysis of IPTV services. The main topic is to model the interplay of the restricted number of channels, the larger number of available programs to be transmitted over the channels, and the concurrent access of many users to the same program, resp. channel (multicast services). In a simple Engset-like model we compute loss probabilities avoiding to count the number of concurrent users in the system. With a more detailed model where we explicitly count the number of concurrent users for the active channels we show how to compute revenue for the provider and loss probabilities as well. This model can be considered as a stratified system of different queueing systems. The main results are in both cases expressions for steady state distributions of simple structure, indicating separability.",

keywords = "Concurrent services, Generalized Engset formula, Insensitivity, IPTV, Loss probability, Multichannel loss system, Revenue, Separability, Business informatics",

author = "Hans Daduna and Ruslan Krenzler",

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booktitle = "Measurement, Modelling and Evaluation of Computing Systems",

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Daduna, H & Krenzler, R 2020, Performance analysis for loss systems with many subscribers and concurrent services. in H Hermanns (ed.), Measurement, Modelling and Evaluation of Computing Systems : 20th International GI/ITG Conference, MMB 2020, Saarbrücken, Germany, March 16–18, 2020, Proceedings. Lecture Notes in Computer Science , vol. 12040 LNCS, Programming and Software Engineering, vol. 12040, Springer Verlag, Cham, pp. 118-135, 20th International GI/ITG Conference on Measurement, Modelling and Evaluation of Computing Systems, MMB 2020, Saarbrücken, Germany, 16.03.20. https://doi.org/10.1007/978-3-030-43024-5_8

Performance analysis for loss systems with many subscribers and concurrent services. / Daduna, Hans; Krenzler, Ruslan.
Measurement, Modelling and Evaluation of Computing Systems : 20th International GI/ITG Conference, MMB 2020, Saarbrücken, Germany, March 16–18, 2020, Proceedings. ed. / Holger Hermanns. Cham: Springer Verlag, 2020. p. 118-135 (Lecture Notes in Computer Science ; Vol. 12040 LNCS), (Programming and Software Engineering; Vol. 12040).

Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review

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AU - Krenzler, Ruslan

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AB - We present models for performance analysis of IPTV services. The main topic is to model the interplay of the restricted number of channels, the larger number of available programs to be transmitted over the channels, and the concurrent access of many users to the same program, resp. channel (multicast services). In a simple Engset-like model we compute loss probabilities avoiding to count the number of concurrent users in the system. With a more detailed model where we explicitly count the number of concurrent users for the active channels we show how to compute revenue for the provider and loss probabilities as well. This model can be considered as a stratified system of different queueing systems. The main results are in both cases expressions for steady state distributions of simple structure, indicating separability.

KW - Concurrent services

KW - Generalized Engset formula

KW - Insensitivity

KW - IPTV

KW - Loss probability

KW - Multichannel loss system

KW - Revenue

KW - Separability

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BT - Measurement, Modelling and Evaluation of Computing Systems

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Daduna H, Krenzler R. Performance analysis for loss systems with many subscribers and concurrent services. In Hermanns H, editor, Measurement, Modelling and Evaluation of Computing Systems : 20th International GI/ITG Conference, MMB 2020, Saarbrücken, Germany, March 16–18, 2020, Proceedings. Cham: Springer Verlag. 2020. p. 118-135. (Lecture Notes in Computer Science ). (Programming and Software Engineering). doi: 10.1007/978-3-030-43024-5_8

Performance analysis for loss systems with many subscribers and concurrent services

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Research areas and keywords

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