Performance analysis for loss systems with many subscribers and concurrent services

Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review


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 languageEnglish
Title of host publicationMeasurement, Modelling and Evaluation of Computing Systems : 20th International GI/ITG Conference, MMB 2020, Saarbrücken, Germany, March 16–18, 2020, Proceedings
EditorsHolger Hermanns
Number of pages18
Place of PublicationCham
Publication date2020
ISBN (Print)978-3-030-43023-8, 978-3-030-43025-2
ISBN (Electronic)978-3-030-43024-5
Publication statusPublished - 2020
Event20th International GI/ITG Conference on Measurement, Modelling and Evaluation of Computing Systems, MMB 2020 - Saarbrücken, Germany
Duration: 16.03.202018.03.2020
Conference number: 20

    Research areas

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