Modelling Overflow Systems with Queuing in Primary Resources

Głąbowski, Mariusz; Kmiecik, Damian; Stasiak, Maciej

doi:10.1007/978-3-030-14413-5_12

Cited by 3 publications

(3 citation statements)

References 21 publications

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“…Thus, the authors plan to initiate research on multidimensional Markov chains considering the use of SD-FIFO input queue alongside Erlang, Engset, and Pascal type adaptive traffic [42]. The next important stage of research will be the application of overflows considering the MIM-NSD-BPP method [46] and applying the methodology for the multi-parametric model presented in [18,19].…”

Section: Data Availability Statementmentioning

confidence: 99%

High-Accuracy Analytical Model for Heterogeneous Cloud Systems with Limited Availability of Physical Machine Resources Based on Markov Chain

Hanczewski,

Stasiak,

Weissenberg

2024

Electronics

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The article presents the results of a study on modeling cloud systems. In this research, the authors developed both analytical and simulation models. System analysis was conducted at the level of virtual machine support, corresponding to Infrastructure as a Service (IaaS). The models assumed that virtual machines of different sizes are offered as part of IaaS, reflecting the heterogeneous nature of modern systems. Additionally, it was assumed that due to limitations in access to physical server resources, only a portion of these resources could be used to create virtual machines. The model is based on Markov chain analysis for state-dependent systems. The system was divided into an external structure, represented by a collection of physical machines, and an internal structure, represented by a single physical machine. The authors developed a novel approach to determine the equivalent traffic, approximating the real traffic appearing at the input of a single physical machine under the assumptions of request distribution. As a result, it was possible to determine the actual request loss probability in the entire system. The results obtained from both models (simulation and analytical) were summarized in common graphs. The studies were related to the actual parameters of commercially offered physical and virtual machines. The conducted research confirmed the high accuracy of the analytical model and its independence from the number of different instances of virtual machines and the number of physical machines. Thus, the model can be used to dimension cloud systems.

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Section: Data Availability Statementmentioning

confidence: 99%

High-Accuracy Analytical Model for Heterogeneous Cloud Systems with Limited Availability of Physical Machine Resources Based on Markov Chain

Hanczewski,

Stasiak,

Weissenberg

2024

Electronics

Self Cite

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“…Another notable mechanism is telecommunications traffic overflow, one of the earliest traffic management mechanisms, which was developed in the 1950s. Recent models have facilitated the effective utilisation of this mechanism in modern networks [19]. Models focusing on systems with priorities represent the fewest among the groups of traffic management and control mechanisms [20].…”

Section: Introductionmentioning

confidence: 99%

“…The analysis of queuing systems is an extensive area of research, with most telecommunication system models being designed for single-service systems at the packet level [21,22]. However, the literature also includes publications on multi-service systems [17,19], enabling the determination of queuing system parameters such as blocking probability, average waiting time, and average queue length. Notably, among these multi-service models, proposals have been made for systems employing queuing and finite and infinitude compression.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the Accuracy of the Analytical Model of a Queuing System with a Finite-Compression Mechanism in Relation to Real Service Disciplines

Hanczewski

Weissenberg

2023

Electronics

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The article presents the findings of a study that evaluates the feasibility of using an analytical model for a multi-service queuing system with a SDFIFO queuing service discipline and finite compression mechanism to approximate queuing systems with different queuing service disciplines (e.g., FIFO, cFIFO) while also incorporating finite compression. The evaluation involves comparing results obtained from an analytical model with those of simulation studies. The study considers the blocking probability and average queue length as factors. Additionally, two types of compressed traffic were analysed: elastic and adaptive. These are characteristic of modern telecommunications networks, particularly in multimedia applications. This paper is an extended version of our paper published in 4th CoBCom 2022.

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The Impact of the Adopted Queue Discipline on the Accuracy of the Analytical Model in Queuing Systems with Elastic and Adaptive Traffic

Hanczewski

Weissenberg

2022

2022 International Conference on Broadband Communications for Next Generation Networks and Multimedia Applications (CoBCom)

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Modelling Overflow Systems with Queuing in Primary Resources

Cited by 3 publications

References 21 publications

High-Accuracy Analytical Model for Heterogeneous Cloud Systems with Limited Availability of Physical Machine Resources Based on Markov Chain

High-Accuracy Analytical Model for Heterogeneous Cloud Systems with Limited Availability of Physical Machine Resources Based on Markov Chain

Evaluation of the Accuracy of the Analytical Model of a Queuing System with a Finite-Compression Mechanism in Relation to Real Service Disciplines

The Impact of the Adopted Queue Discipline on the Accuracy of the Analytical Model in Queuing Systems with Elastic and Adaptive Traffic

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