Analysis of routing protocols and interference-limited communication in large wireless networks via continuum modeling

The evaluation and assessment of the design of large wireless networks is an important problem in numerous applications. Direct simulation is a traditional approach for studying such networks but is severely limited in its utility as the size of the network increases. This necessitates other means f...

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Bibliographic Details
Published in:Journal of engineering mathematics 2013-04, Vol.79 (1), p.183-199
Main Authors: Burch, Nathanial, Chong, Edwin K. P., Estep, Don, Hannig, Jan
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Computer networks
Computer simulation
Continuums
Mathematical and Computational Engineering
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Networks
Protocol (computers)
Routing (telecommunications)
Theoretical and Applied Mechanics
Wireless networks
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Summary:The evaluation and assessment of the design of large wireless networks is an important problem in numerous applications. Direct simulation is a traditional approach for studying such networks but is severely limited in its utility as the size of the network increases. This necessitates other means for studying large networks, one of which is the modeling of large networks with continuum models. In this paper, we introduce nonlinear partial differential equations whose solutions approximate the expected behavior of large networks governed by probabilistic communication rules. The relative speed at which solutions can be obtained from the continuum models allows for the investigation of routing protocols and communication limitations due to interference—a feat that is not feasible via simulation methods. Specifically, we investigate the effects of a directed diffusion routing protocol and explore communication limitations in an interference-sensitive network. Network design studies using the approximating continuum models are then presented.
ISSN:0022-0833
1573-2703
DOI:10.1007/s10665-012-9566-9