Skip to main content

Simple Models Characterizing the Cell Dwell Time with a Log-Normal Distribution

  • Conference paper
  • First Online:
Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing 2015

Part of the book series: Studies in Computational Intelligence ((SCI,volume 612))

  • 819 Accesses

Abstract

For designing a wireless network, the distribution of the cell dwell time of nodes is important. It was reported that the distribution of the cell dwell time is approximated by a log-normal distribution. Thus, in this paper, we present two simple models in order to estimate the probabilistic distribution of the cell dwell time. One is the model where a node moves straightforward and goes across a cell where the velocity of a node is given by a probabilistic density function. Another is the model of a random walk, named a “tipsy random walk,” where a node moves with constant velocity and turns gently. We show that the probabilistic distribution of the cell dwell time of each model can be approximated by a log-normal distribution.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Boche, H., Jugl, E.: Dwell time modeling for wireless communication systems and problems of the velocity distribution. Eur. Trans. Telecommun. 13(3), 269–278 (2002). http://dblp.uni-trier.de/db/journals/ett/ett13.html#BocheJ02

    Google Scholar 

  2. Chiang, K.H., Shenoy, N.: A 2-d random-walk mobility model for location-management studies in wireless networks. IEEE Trans. Veh. Technol. 53(2), 413–424 (2004). http://dblp.uni-trier.de/db/journals/tvt/tvt53.html#ChiangS04

    Google Scholar 

  3. Cho, M., Kim, K., Szidarovszky, F., You, Y., Cho, K.: Numerical analysis of the dwell time distribution in mobile cellular communication systems. IEICE Trans. Commun. E81-B(4), 715–721 (1998)

    Google Scholar 

  4. Guérin, R.: Channel occupancy time distribution in a cellular radio system. IEEE Trans. Veh. Technol. VT-36(3), 89–99 (1987)

    Google Scholar 

  5. Hidaka, H., Saitoh, K., Shinagawa, N., Kobayashi, T.: Teletraffic characterization of cellular communication for different types of vehicle motion. IEICE Trans. Commun. E84-B(3), 558–565 (2001)

    Google Scholar 

  6. Hong, D., Rappaport, S.S.: Traffic model and performance analysis for cellular mobile radio telephone systems with prioritized and nonprioritized handoff procedures. IEEE Trans. Veh. Technol. 35(3), 77–92 (1986). doi:10.1109/T-VT.1986.24076

    Article  Google Scholar 

  7. Jabbari, B., Zhou, Y., Hillier, F.: Random walk modeling of mobility in wireless networks. In: 48th IEEE Transaction on Vehicular Technology Conference, 1998. VTC 98., vol. 1, pp. 639–643 (1998). doi:10.1109/VETEC.1998.686653

  8. Kobayashi, T., Shinagawa, N., Watanabe, Y.: Vehicle mobility characterization based on measurement and its application to cellular communication systems. IEICE Trans. Commun. E82-B(12), 2055–2060 (1999)

    Google Scholar 

  9. Zonoozi, M., Dassanayake, P.: User mobility modeling and characterization of mobility patterns. IEEE J. Sel. Areas Commun. 15(7), 1239–1252 (1997)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Naoshi Sakamoto .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Sakamoto, N. (2016). Simple Models Characterizing the Cell Dwell Time with a Log-Normal Distribution. In: Lee, R. (eds) Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing 2015. Studies in Computational Intelligence, vol 612. Springer, Cham. https://doi.org/10.1007/978-3-319-23509-7_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-23509-7_9

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23508-0

  • Online ISBN: 978-3-319-23509-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics