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Analysis of a typical cell in the uplink cellular network model using stochastic simulation
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2022 (English)In: 2022 IEEE 2nd Conference on Information Technology and Data Science (CITDS), 2022, p. 201-206Conference paper, Published paper (Refereed)
Abstract [en]

In this work we consider an uplink cellular network with the focus on a typical cell rather than the whole network. The base stations (BSs) and the users are distributed according to Poisson point processes (PPP) and the signals are transmitted at random power. The BSs’ serving area is formed according to the Voronoi diagram and the users are associated with a serving BS based on the shortest distance. One of the features of the system is that we primarily take into account the interference inside a d-dimensional ball of the average size of a typical Voronoi cell. In this work we mainly focus on the system stability and discuss a necessary stability condition, which is then studied by using stochastic simulation. We also discuss some properties of the network that can affect the stability and appear to be interesting and promising for the performance analysis of the system.

Place, publisher, year, edition, pages
2022. p. 201-206
Keywords [en]
Cellular networks;Base stations;Analytical models;Stochastic processes;Interference;Stability analysis;Mathematical models
National Category
Probability Theory and Statistics Computational Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-570994DOI: 10.1109/CITDS54976.2022.9914210OAI: oai:DiVA.org:uu-570994DiVA, id: diva2:2010973
Conference
Conference on Information Technology and Data Science (CITDS)
Available from: 2025-11-03 Created: 2025-11-03 Last updated: 2025-11-13
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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