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Retransmission performance in a stochastic geometric cellular network model
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.ORCID iD: 0000-0002-7672-190X
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2024 (English)In: Performance evaluation (Print), ISSN 0166-5316, E-ISSN 1872-745X, Vol. 165, article id 102428Article in journal (Refereed) Published
Abstract [en]

Suppose sender-receiver transmission links in a downlink network at a given data rate are subject to fading, path loss, and inter -cell interference, and that transmissions either pass, suffer loss, or incur retransmission delay. We introduce a method to obtain the average activity level of the system required for handling the buffered work and from this derive the resulting coverage probability and key performance measures. The technique involves a family of stationary buffer distributions which is used to solve iteratively a nonlinear balance equation for the unknown busy -link probability and then identify throughput, loss probability, and delay. The results allow for a straightforward numerical investigation of performance indicators, are in special cases explicit and may be easily used to study the trade-off between reliability, latency, and data rate.

Place, publisher, year, edition, pages
Elsevier, 2024. Vol. 165, article id 102428
Keywords [en]
Cellular network, Stochastic geometry, Poisson-Voronoi tessellation, Retransmission, Stability analysis, Markov chain
National Category
Communication Systems Telecommunications
Identifiers
URN: urn:nbn:se:uu:diva-534960DOI: 10.1016/j.peva.2024.102428ISI: 001262777900001OAI: oai:DiVA.org:uu-534960DiVA, id: diva2:1888270
Available from: 2024-08-12 Created: 2024-08-12 Last updated: 2025-11-13Bibliographically approved
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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