Abstract
We propose a model to estimate the probability density function of the distribution of a packet travel time in a multihop wireless sensor network. The model is based on diffusion approximation and it takes into consideration the heterogeneity of the propagation medium and of the distribution of relay nodes. The modeled system parameters, e.g. the packet loss probability or the network topology, may depend on time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akyıldız, I.F., Su, W., Sankarasubramaniam, Y., Çayırcı, E.: A survey on sensor networks. IEEE Commun. Mag. 40(8), 102–114 (2002)
Cox, R.P., Miller, H.D.: The Theory of Stochastic Processes. Chapman and Hall, London (1965)
Gelenbe, E.: On Approximate Computer Systems Models. J. ACM 22(2) (1975)
Gelenbe, E.: Diffusion approximations: waiting times and batch arrival. Acta Informatica 12, 285–303 (1979)
Gelenbe, E.: Travel delay in a large wireless ad hoc network. In: 2nd Workshop on Spatial Stochastic Models of Wireless Networks (SPASWIN), Boston, April 7 (2006)
Gelenbe, E.: A Diffusion Model for Packet Travel time in a Random Multihop Medium. ACM Trans. on Sensor Networks 3(2), Article 10 (June 2007)
Heinzelman, W.R., Candrakasan, A., Balakrishnan, H.: Energy-efficient Communication Protocols for Wireless Microsensor Networks. In: Proc. Hawaiian International Conf. on Systems Science (January 2000)
Royer, E., Toh, C.: A review of current routing protocols for ad-hoc mobile wireless networks. IEEE Personal Commun. 6(2), 46–55 (1999)
Stehfest, H.: Algorithm 368: Numeric inversion of Laplace transform. Comm. of ACM 13(1), 47–49 (1970)
Zorzi, M., Rao, R.: Geographic random forwarding (GERAF) for ad hoc and sensor networks: Multihop performance. IEEE Trans. Mobile Comput. 2(4), 337–348 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Czachórski, T., Grochla, K., Pekergin, F. (2008). Diffusion Approximation Model for the Distribution of Packet Travel Time at Sensor Networks. In: Cerdà-Alabern, L. (eds) Wireless Systems and Mobility in Next Generation Internet. EuroNGI 2008. Lecture Notes in Computer Science, vol 5122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89183-3_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-89183-3_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89182-6
Online ISBN: 978-3-540-89183-3
eBook Packages: Computer ScienceComputer Science (R0)