Abstract
We consider an uplink cellular network with static users and unlimited retransmissions. The users are assigned to the base stations (BSs) using the shortest distance association policy. The network cells are formed according to the Voronoi tessellation, and we study stability of this model with focus on a single cell. In particular, we consider a model with non-homogeneous users where the buffer size of each user depends on the number and locations of the active users at each time slot. We obtain a basic relation between input and output rate (coverage probability) of each user in steady-state regime. Moreover, we use stochastic simulation to verify sufficient stability conditions (obtained in the paper [8] for a more general system) which are reformulated in terms of the model under consideration. In particular, we find that these conditions turn out to be quite close to stability criteria in the most realistic case of the heavily loaded cell. In this regard and because of analytical unavailability of some metrics, we empirically study the convergence of the stability zone of the lightly-loaded cell to the zone defined by the sufficient stability conditions, when the load increases.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
AL-jaff, D., Bayat, O., Sallomi, A.H.: Analysis of interference and signal quality in cellular wireless networks (2020)
Afify, L.H., ElSawy, H., Al-Naffouri, T.Y., Alouini, M.: Unified stochastic geometry model for MIMO cellular networks with retransmissions (2016)
Andrews, J.G.: A primer on cellular network analysis using stochastic geometry (2016). ArXiv: 1604.03183
Andrews, J.G., Baccelli, F.: A tractable approach to coverage and rate in cellular networks. IEEE Trans. Commun. 59(11), 3122–3134 (2011)
Asmussen, S.: Applied Probability and Queues, 2nd edn. Springer, New York (2003). https://doi.org/10.1007/b97236
Banerjee, S., Sankararaman, A.: Ergodicity and steady state analysis for Interference Queueing Networks, p. 12 (2020). arXiv:2005.13051
Bonald, T., Borst, S., Hegde, N., Jonckheere, M., Proutiere, A.: Flow-level performance and capacity of wireless networks with user mobility. Queue. Syst. 63, 131–164 (2009). https://doi.org/10.1007/s11134-009-9144-7
Borst, S.C., Jonckheere, M., Leskelä, L.: Stability of parallel queueing systems with coupled service rates. Disc. Event Dyn. Syst. 18(4), 447–472 (2010)
Dhillon, H.S., Novlan, T.D., Andrews, J.G.: Coverage probability of uplink cellular networks. In: IEEE Global Communications Conference (GLOBECOM). Anaheim, CA, USA, pp. 2179–2184 (2012). https://doi.org/10.1109/GLOCOM.2012.6503438
Kaj, I., Morozova, T.: Retransmission performance in a stochastic geometric wireless communication model (2023)
Min, S., Yu, S.K.: Downlink capacity and base station density in cellular networks. In: Proceedings of the 11th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt) (2013)
Liu, Q., Zhang, Z.: The analysis of coverage probability, ASE and EE in heterogeneous ultra-dense networks with power control. Dig. Commun. Netw. 6(4), 524–533 (2020). ISSN 2352–8648. https://doi.org/10.1016/j.dcan.2020.02.002
Morozova, T., Kaj, I.: Analysis of a typical cell in the uplink cellular network model using stochastic simulation. In: Proceedings of CITDS (2022)
Morozov, E., Steyaert, B.: Stability Analysis of Regenerative Queueing Models. Springer, New York (2021). https://doi.org/10.1007/978-3-030-82438-9
Nigam, G., Minero, P., Haenggi, M.: Cooperative retransmission in heterogeneous cellular networks. In: IEEE Global Communications Conference, pp. 1528–1533 (2014)
Rajhi, M., Madkhali, H.: Comparison between automatic repeat request (ARQ) protocols and solving the buffer problem. In: International Conference on Computational Science and Computational Intelligence (CSCI) 2020, pp. 195–201 (2020). https://doi.org/10.1109/CSCI51800.2020.00040
Sankararaman, A., Baccelli, F., Foss, S.: interference queueing networks on grids (2020)
Go, Y., Kune, D.F., Woo, S., Park, K.S., Kim, Y.: Impact of malicious TCP retransmission on cellular traffic accounting (2013)
Zhang, X., Andrews, J.G.: Downlink cellular network analysis with multi-slope path loss models. IEEE Trans. Commun. 63(5), 1881–1894 (2015)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Morozova, T. (2023). Stability Analysis and Simulation of a Cellular Network with Retransmissions Policy. In: Iacono, M., Scarpa, M., Barbierato, E., Serrano, S., Cerotti, D., Longo, F. (eds) Computer Performance Engineering and Stochastic Modelling. EPEW ASMTA 2023 2023. Lecture Notes in Computer Science, vol 14231. Springer, Cham. https://doi.org/10.1007/978-3-031-43185-2_25
Download citation
DOI: https://doi.org/10.1007/978-3-031-43185-2_25
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-43184-5
Online ISBN: 978-3-031-43185-2
eBook Packages: Computer ScienceComputer Science (R0)