NDLI: Power law and exponential decay of inter contact times between mobile devices

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Power law and exponential decay of inter contact times between mobile devices

Content Provider	ACM Digital Library
Author	Vojnović, Milan Karagiannis, Thomas Le Boudec, Jean-Yves
Abstract	We examine the fundamental properties that determine the basic performance metrics for opportunistic communications. We first consider the distribution of inter-contact times between mobile devices. Using a diverse set of measured mobility traces, we find as an invariant property that there is a characteristic time, order of half a day, beyond which the distribution decays exponentially. Up to this value, the distribution in many cases follows a power law, as shown in recent work. This powerlaw finding was previously used to support the hypothesis that inter-contact time has a power law tail, and that common mobility models are not adequate. However, we observe that the time scale of interest for opportunistic forwarding may be of the same order as the characteristic time, and thus the exponential tail is important. We further show that already simple models such as random walk and random way point can exhibit the same dichotomy in the distribution of inter-contact time ascin empirical traces. Finally, we perform an extensive analysis of several properties of human mobility patterns across several dimensions, and we present empirical evidence that the return time of a mobile device to its favorite location site may already explain the observed dichotomy. Our findings suggest that existing results on the performance of forwarding schemes basedon power-law tails might be overly pessimistic.
Starting Page	183
Ending Page	194
Page Count	12
File Format	PDF
ISBN	9781595936813
DOI	10.1145/1287853.1287875
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2007-09-09
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Inter-contact time Mobile devices Opportunistic communications
Content Type	Text
Resource Type	Article

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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