Does the assumption of exponential arrival distributions in wireless sensor networks hold??

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2018-01-01

Author

Doddapaneni, Krishna
Tasiran, Ali
Omondi, Fredrick A.
Ever, Enver
Shah, Purav
Mostarda, Leonardo
Gemikonakli, Orhan

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Wireless sensor networks (WSNs) have seen a tremendous growth in various application areas despite prominent performance and availability challenges. Although researchers continue to address these challenges, the type of distributions for arrivals at the cluster head and intermediary routing nodes is still an interesting area of investigation. The general practice in published works is to compare an empirical exponential arrival distribution of WSNs with a theoretical exponential distribution in a Q-Q plot diagram. In this paper, we show that such comparisons based on simple eye checks are not sufficient since, in many cases, incorrect conclusions may be drawn from such plots. After estimating the maximum likelihood parameters of empirical distributions, we generate theoretical distributions based on the estimated parameters. By conducting Kolmogorov-Smirnov test statistics for each generated inter-arrival time distributions, we find out, if it is possible to represent the traffic into the cluster head by using theoretical distribution. Empirical exponential arrival distribution assumption of WSNs holds only for a few cases. The work is further extended to understand the effect of delay on inter-arrival time distributions based on the type of medium access control (MAC) used in WSNs.

Subject Keywords

WSNs, Wireless sensor networks, Performance, Maximum-likelihood estimates of empirical distributions, Q-Q plots, P-values, Kolmogorov-Smirnov test statistics, Theoretical and empirical densities, cumulative distribution functions

URI

https://hdl.handle.net/11511/68422

Journal

INTERNATIONAL JOURNAL OF SENSOR NETWORKS

DOI

https://doi.org/10.1504/ijsnet.2016.10001413

Collections

Economics and Administrative Sciences, Article

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Citation Formats

K. Doddapaneni et al., “Does the assumption of exponential arrival distributions in wireless sensor networks hold??,” INTERNATIONAL JOURNAL OF SENSOR NETWORKS, pp. 81–100, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/68422.