A Century-Long Challenge in Teletraffic Theory: Blocking Probability Evaluation for Overflow Loss Systems with Mutual Overflow

EWM Wong, YC Chan - IEEE Access, 2023 - ieeexplore.ieee.org
In this review, we describe historical and recent developments towards tackling a century-
long challenge in teletraffic theory, namely the evaluation of blocking probability in overflow …

A simple approximation of the link model with reservation by a one-dimensional Markov chain

M Stasiak, M Głąbowski - Performance Evaluation, 2000 - Elsevier
This paper presents a new approximate calculation algorithm of the blocking probability in
the full-availability group with reservation carrying a mixture of different multi-rate traffic …

Modeling product-form state-dependent systems with BPP traffic

M Głąbowski, A Kaliszan, M Stasiak - Performance Evaluation, 2010 - Elsevier
This article proposes models of product-form state-dependent class of systems. Two
methods for determining the occupancy distribution and the blocking and loss probability in …

Modelling of cellular networks with traffic overflow

M Głąbowski, S Hanczewski… - … Problems in Engineering, 2015 - Wiley Online Library
The paper proposes a new method for modelling multiservice cellular networks with traffic
overflow. The proposed method employs a model of Erlang's Ideal Grading (EIG) with …

A New Model of the Limited Availability Group with Priorities for Multi-Service Networks

B Nowak, P Zwierzykowski - Electronics, 2024 - mdpi.com
In this article, a new analytical model is proposed for a limited-availability group serving a
mixture of multiservice BPP (Binomial, Poisson, Pascal) traffic. The model assumes that the …

Modeling Erlang′ s Ideal Grading with multirate BPP traffic

M Glabowski, S Hanczewski, M Stasiak… - Mathematical …, 2012 - Wiley Online Library
This paper presents a complete methodology for modeling gradings (also called non‐full‐
availability groups) servicing single‐service and multi‐service traffic streams. The …

Modelling and optimization of multi-service optical switching networks with threshold management mechanisms

M Sobieraj, P Zwierzykowski, E Leitgeb - Electronics, 2021 - mdpi.com
DWDM networks make use of optical switching networks that allow light waves of multiple
lengths to be serviced and provide the possibility of converting them appropriately …

Modelling of the access part of a multi-service mobile network with service priorities

S Hanczewski, M Stasiak, P Zwierzykowski - EURASIP Journal on …, 2015 - Springer
This paper presents a methodology for the modelling and optimization of multi-service radio
access for universal mobile telecommunications system (UMTS) networks. The paper …

Analytical modelling of multiservice switching networks with multiservice sources and resource management mechanisms

M Głąbowski, M Sobieraj - Telecommunication Systems, 2017 - Springer
This article proposes a new analytical method of determining occupancy distribution and
blocking probability in multiservice switching networks with admission control mechanisms …

Non-full-available queueing model of an EON node

S Hanczewski, M Stasiak, J Weissenberg - Optical Switching and …, 2019 - Elsevier
This paper presents a model of a queueing system with non-full-availability server and multi-
service Bernoulli-Poisson-Pascal (BPP) traffic. This model is then used for an analysis of an …