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Channel capacity and performance analysis of a buffered cellular network
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Probability Theory and Combinatorics.ORCID iD: 0000-0002-7672-190X
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Probability Theory and Combinatorics.ORCID iD: 0000-0002-3176-2249
2024 (English)Manuscript (preprint) (Other academic)
Abstract [en]

We consider a cellular network equipped with aretransmission mechanism where the signal transmissions in asingle cell depends on interference with simultaneous traffic insurrounding cells. In this framework where failed signals areeither retransmitted or lost we study the channel capacity per-formance of a single-tier model with downlink or uplink traffic.For this purpose, a tractable model that allows for a precisetheoretical analysis of coverage probability and coverage rate isdeveloped further. Specifically, we obtain the Shannon capacity inthe model and introduce relevant performance measures to guidein the identification of those systems which in a precise sense areable to process all incoming work. To emphasize the genericpatterns that arise we extend and simplify the results under ascaling regime of balanced densification, which highlights thatperformance essentially falls into three categories, for pure-loss,buffered, and no-loss systems.

Place, publisher, year, edition, pages
2024.
National Category
Probability Theory and Statistics Telecommunications
Identifiers
URN: urn:nbn:se:uu:diva-570998OAI: oai:DiVA.org:uu-570998DiVA, id: diva2:2010976
Available from: 2025-11-03 Created: 2025-11-03 Last updated: 2025-11-20
In thesis
1. Modelling and Performance of Cellular Networks: Stochastic Geometry, Queuing, and Learning Approaches
Open this publication in new window or tab >>Modelling and Performance of Cellular Networks: Stochastic Geometry, Queuing, and Learning Approaches
2025 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis is based on seven papers concerning mathematical models for wireless cellular networks with retransmissions, buffering, and interference. The analysis combines stochastic geometry with queuing theory to capture complex stochastic aspects of the physical model. Paper I introduces a downlink model with transmitter buffers, providing performance measures such as coverage probability, delay, and loss probability. Paper II extends the modeling approach to quantify Shannon capacity under finite and infinite buffer regimes. Paper III studies multi-tier networks, extending the previous approach. The paper introduces biased load balancing and discusses the increase in capacity compared with single-tier systems. Pa-per IV derives a stability condition for buffered uplink traffic, for a special case of no noise and unbounded attenuation. The paper further refines the analytical stability bound through simulations. Paper V considers the network with heterogeneous users with different arrival rates and powers, and establishes user-specific stability bounds. Paper VI uses the well-known Foster criteria for two-dimensional Markov chains and extends them to derive both stability and transience criteria for Markov chains in higher dimensions with monotone drifts. Finally, Paper VII studies a model of a buffered cellular network in terms of reinforcement learning (RL) methodology. It introduces a decentralized mean-field RL method, where base stations act as agents who aim to maximize their channel capacity via dynamically adjusting the transmission intensity.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2025. p. 64
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 2615
Keywords
Cellular networks, performance evaluation, stochastic geometry, stochastic modelling, Shannon capacity, coverage probability, Markov chains, reinforcement learning.
National Category
Communication Systems Mathematical sciences
Research subject
Applied Mathematics and Statistics
Identifiers
urn:nbn:se:uu:diva-571533 (URN)978-91-513-2675-7 (ISBN)
Public defence
2026-01-14, Polhemsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 17:29 (English)
Opponent
Supervisors
Available from: 2025-12-18 Created: 2025-11-13 Last updated: 2025-12-18

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Kaj, IngemarMorozova, Taisiia

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