Surprising Patterns for the Call Duration Distribution of Mobile Phone Users

  • Pedro O. S. Vaz de Melo
  • Leman Akoglu
  • Christos Faloutsos
  • Antonio A. F. Loureiro
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6323)


How long are the phone calls of mobile users? What are the chances of a call to end, given its current duration? Here we answer these questions by studying the call duration distributions (CDDs) of individual users in large mobile networks. We analyzed a large, real network of 3.1 million users and more than one billion phone call records from a private mobile phone company of a large city, spanning 0.1 TB. Our first contribution is the TLAC distribution to fit the CDD of each user; TLAC is the truncated version of so-called log-logistic distribution, a skewed, power-law-like distribution. We show that the TLAC is an excellent fit for the overwhelming majority of our users (more than 96% of them), much better than exponential or lognormal. Our second contribution is the MetaDist to model the collective behavior of the users given their CDDs. We show that the MetaDist distribution accurately and succinctly describes the calls duration behavior of users in large mobile networks. All of our methods are fast, and scale linearly with the number of customers.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Pedro O. S. Vaz de Melo
    • 1
    • 4
  • Leman Akoglu
    • 2
    • 3
    • 4
  • Christos Faloutsos
    • 2
    • 3
    • 4
  • Antonio A. F. Loureiro
    • 1
  1. 1.Universidade Federal de Minas Gerais 
  2. 2.Carnegie Mellon University 
  3. 3.SCS, School of Computer Science 
  4. 4.iLab, Heinz College 

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