Continuum Modeling and Control of Large Nonuniform Wireless Networks via Nonlinear Partial Differential Equations
Joint Authors
Hannig, Jan
Zhang, Yang
Chong, Edwin K. P.
Estep, Donald
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We introduce a continuum modeling method to approximate a class of large wireless networks by nonlinear partial differential equations (PDEs).
This method is based on the convergence of a sequence of underlying Markov chains of the network indexed by N, the number of nodes in the network.
As N goes to infinity, the sequence converges to a continuum limit, which is the solution of a certain nonlinear PDE.
We first describe PDE models for networks with uniformly located nodes and then generalize to networks with nonuniformly located, and possibly mobile, nodes.
Based on the PDE models, we develop a method to control the transmissions in nonuniform networks so that the continuum limit is invariant under perturbations in node locations.
This enables the networks to maintain stable global characteristics in the presence of varying node locations.
American Psychological Association (APA)
Zhang, Yang& Chong, Edwin K. P.& Hannig, Jan& Estep, Donald. 2013. Continuum Modeling and Control of Large Nonuniform Wireless Networks via Nonlinear Partial Differential Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-458470
Modern Language Association (MLA)
Zhang, Yang…[et al.]. Continuum Modeling and Control of Large Nonuniform Wireless Networks via Nonlinear Partial Differential Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-458470
American Medical Association (AMA)
Zhang, Yang& Chong, Edwin K. P.& Hannig, Jan& Estep, Donald. Continuum Modeling and Control of Large Nonuniform Wireless Networks via Nonlinear Partial Differential Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-458470
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458470