The mathematical theory of dynamic load balancing in cellular networks

OK Tonguz, E Yanmaz - IEEE Transactions on Mobile …, 2008 - ieeexplore.ieee.org
… a common mathematical theory. Based on some key observations, this paper develops the
mathematical theory behind common dynamic load-balancing schemes in cellular networks

Cellular neural networks: Theory

LO Chua, L Yang - IEEE Transactions on circuits and systems, 1988 - ieeexplore.ieee.org
… architecture, called a cellular neural network, which possesses some of … cellular neural
networks in Section VI. Finally, two similar mathematical models are compared with our cellular

Modeling and analysis of cellular networks using stochastic geometry: A tutorial

H ElSawy, A Sultan-Salem, MS Alouini… - … Surveys & Tutorials, 2016 - ieeexplore.ieee.org
cellular networks, the presented unified approach applies for other types of wireless networks
… This paper then extends the unified approach to capture cellular network characteristics (…

Instability and dynamic pattern in cellular networks

HG Othmer, LE Scriven - Journal of theoretical biology, 1971 - Elsevier
… states of the network. With the theory, effects of changes in network topology can be treated
… Perhaps there is here something of the mathematical theory of epigenesis and development …

A mathematical theory of network interference and its applications

MZ Win, PC Pinto, LA Shepp - Proceedings of the IEEE, 2009 - ieeexplore.ieee.org
… In the remainder of this paper, we will show how the theory developed in this section is
useful to characterize interference in wireless networks, enabling a wide variety of applications. …

Heterogeneous cellular networks: From theory to practice

A Ghosh, N Mangalvedhe, R Ratasuk… - IEEE …, 2012 - ieeexplore.ieee.org
… , a theoretical framework of a multi-tier cellular network based on random spatial models was
developed and it was shown that essential intuition of these mathematicalcellular network

Towards understanding the fundamentals of mobility in cellular networks

X Lin, RK Ganti, PJ Fleming… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
… applying it to analyze two key cellular network parameters: handover rate and … cellular
networks, which have ever-smaller cells. Then we apply the proposed model to cellular networks

Analysis of blockage effects on urban cellular networks

T Bai, R Vaze, RW Heath - IEEE Transactions on Wireless …, 2014 - ieeexplore.ieee.org
theory, this paper proposes a mathematical framework to model random blockages and analyze
their impact on cellular network … the performance of cellular networks in urban areas with …

A primer on cellular network analysis using stochastic geometry

JG Andrews, AK Gupta, HS Dhillon - arXiv preprint arXiv:1604.03183, 2016 - arxiv.org
… results to a heterogeneous cellular network (HCN, or “HetNet”… tractable analytical models
for cellular networks. And indeed, … mathematical results reasonably describe realworld cellular

Cellular networks as models for Planck-scale physics

M Requardt - Journal of Physics A: Mathematical and General, 1998 - iopscience.iop.org
… continuum physics and mathematics. We base our own approach on what we call ‘cellular
networks’, consisting of … automata (ie simpler and more rigid variants of our cellular networks). …