Matrix and Analytical Methods for Performance Analysis of Telecommunication Systems

Naumov, Valeriy; Gaidamaka, Yuliya; Yarkina, Natalia; Samouylov, Konstantin

doi:10.1007/978-3-030-83132-5

Cited by 17 publications

(12 citation statements)

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“…This evolved model further enabled the analysis of the first wireless general purpose telecommunication systems like GSM, which has played a pivotal role in the telecommunications revolution [51]. It is a traditional circuit-switched telephony system, and that is Multi-resource loss system with random resource requirements: multiple flows of sessions with arrival and service intensities λ i , μ i , finite number of servers C representing currently served sessions, and multiple resource pools modeling quantities associated with active sessions, e.g., amount of requested resources [111].…”

Section: ) Conventional Service Modelsmentioning

confidence: 99%

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A Tutorial on Mathematical Modeling of 5G/6G Millimeter Wave and Terahertz Cellular Systems

Moltchanov

Sopin

Begishev

et al. 2022

IEEE Commun. Surv. Tutorials

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Millimeter wave (mmWave) and terahertz (THz) radio access technologies (RAT) are expected to become a critical part of the future cellular ecosystem providing an abundant amount of bandwidth in areas with high traffic demands. However, extremely directional antenna radiation patterns that need to be utilized at both transmit and receive sides of a link to overcome severe path losses, dynamic blockage of propagation paths by large static and small dynamic objects, macroand micromobility of user equipment (UE) makes provisioning of reliable service over THz/mmWave RATs an extremely complex task. This challenge is further complicated by the type of applications envisioned for these systems inherently requiring guaranteed bitrates at the air interface. This tutorial aims to introduce a versatile mathematical methodology for assessing performance reliability improvement algorithms for mmWave and THz systems. Our methodology accounts for both radio interface specifics as well as service process of sessions at mmWave/THz base stations (BS) and is capable of evaluating the performance of systems with multiconnectivity operation, resource reservation mechanisms, priorities between multiple traffic types having different service requirements. The framework is logically separated into two parts: (i) parameterization part that abstracts the specifics of deployment and radio mechanisms, and (ii) queuing part, accounting for details of the service process at mmWave/THz BSs. The modular decoupled structure of the framework allows for further extensions to advanced service mechanisms in prospective mmWave/THz cellular deployments while keeping the complexity manageable and thus making it attractive for system analysts.

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Section: ) Conventional Service Modelsmentioning

confidence: 99%

“…Fig. 4.Multi-resource loss system with random resource requirements: multiple flows of sessions with arrival and service intensities λ i , μ i , finite number of servers C representing currently served sessions, and multiple resource pools modeling quantities associated with active sessions, e.g., amount of requested resources[111].…”

mentioning

confidence: 99%

A Tutorial on Mathematical Modeling of 5G/6G Millimeter Wave and Terahertz Cellular Systems

Moltchanov

Sopin

Begishev

et al. 2022

IEEE Commun. Surv. Tutorials

Self Cite

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“…. , K are modeled as the infinite server queuing systems, and node K + 1 -by the loss queuing system with random resource requirements (ReLS, [32]) with N servers and R PRBs. Here, servers represent the maximum number of simultaneously supported sessions at a single mmWave BS.…”

Section: A Model Formalizationmentioning

confidence: 99%

“…The service process at node K + 1 (mmWave BS) is described by a loss system with random resource requirements [32], [33]. The original service model and the proposed queuing formalization are illustrated in Fig.…”

Section: B Fully Dynamic Multi-connectivity Strategy S4mentioning

confidence: 99%

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User Association and Multi-connectivity Strategies in Joint Terahertz and Millimeter Wave 6G Systems

Sopin¹,

Moltchanov²,

Daraseliya³

et al. 2022

Preprint

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Terahertz (THz) wireless access is considered as a next step towards sixth generation (6G) cellular systems. By utilizing even higher frequency bands than 5G millimeter wave (mmWave) New Radio (NR), they will operate over extreme bandwidth delivering unprecedented rates at the access interface. However, by relying upon pencil-wide beams, these systems will not only inherit mmWave propagation challenges such as blockage phenomenon but introduce their own issues associated with micromobility of user equipment (UE). In this paper, we analyze and compare user association schemes and multiconnectivity strategies for joint 6G THz/mmWave deployments. Differently, from stochastic geometry studies, we develop a unified analytically tractable framework that simultaneously accounts for specifics of THz and mmWave radio part design and traffic service specifics at mmWave and THz base stations (BS). Our results show that (i) for negligible blockers density, λ B ≤ 0.1 bl./m 2 , the operator needs to enlarge the coverage of THz BS by accepting sessions that experience outage in case of blockage (ii) for λ B > 0.1 bl./m 2 , only those sessions that does not experience outage in case of blockage need to be accepted at THz BS, (iii) THz/mmWave multi-connectivity improves the ongoing session loss probability by 0.1 − 0.4 depending on the system parameters.

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Analysis of a Queueing System with Mixed Service Discipline

Dudin

Dudina

2023

Methodol Comput Appl Probab

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Matrix and Analytical Methods for Performance Analysis of Telecommunication Systems

Cited by 17 publications

References 0 publications

A Tutorial on Mathematical Modeling of 5G/6G Millimeter Wave and Terahertz Cellular Systems

A Tutorial on Mathematical Modeling of 5G/6G Millimeter Wave and Terahertz Cellular Systems

User Association and Multi-connectivity Strategies in Joint Terahertz and Millimeter Wave 6G Systems

Analysis of a Queueing System with Mixed Service Discipline

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