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New Channel Access Approach for the IEEE 802.15.4 Devices in 2.4 GHz ISM Band Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Traffic Engineering: Erlang and Engset Models Revisited with Diffusion Approximation

Authors : Tadeusz Czachórski, Tomasz Nycz, Monika Nycz, Ferhan Pekergin

Published in: Information Sciences and Systems 2014

Publisher: Springer International Publishing

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Abstract

Classical Erlang and Engset formulae determining the availability of channels, loss probability, and characteristics of overflow traffic are still used in telecommunications. Moreover, they are also interesting for traffic management in mobile networks and in Internet. They are based on the assumption of Poisson flows and exponentially distributed time of connections. By means of diffusion approximation queuing models, we extend these results to the case of general distributions and transient state analysis.

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Literature
1.
T.O. Engset, Die Wahrscheinlichkeitsrechnung zur Bestimmung der Whlerzahl in automatischen Fernsprechmtern. Elektrotechnische Zeitschrift, Heft 31, (1918)
2.
A.K. Erlang, The theory of probabilities and telephone conversations. Nyt Tidsskrift Matematik, no. B 20, 33–39 (1909)MATH
3.
A.K. Erlang, Solutions of some problems in the theory of probabilities of significance in automatic telephone exchnges. Electroteknikeren 13, 5–13 (1917)
4.
L. Kleinrock, Queueing Systems, vol. II (Wiley, New York, 1976)MATH
5.
6.
C. McArdle, D. Tafani, L. P. Barry, Overflow Traffic Moments in Channel Groups with Bernoulli-Poisson-Pascal (BPP) Load. in: Proceedings of the IEEE International Conference on Communications (IEEE ICC 2013), pp. 2403-2408, Budapest, Hungary, (2013)
7.
M. Stasiak, M. Gabowski, A. Wisniewski, P. Zwierzykowski, Modelling and dimensioning of mobile networks, from GSM to LTE, Wiley (2011)
8.
T. Bonald, J. Roberts, Internet and the Erlang formula. ACM SIGCOMM Comput. Commun. Rev. 42(1), 25–30 (2012)CrossRef
9.
E. Chromy, J. Suran, M. Kovacik, M. Kavacky, Usage of Erlang formula in IP networks. Commun. Netw. 3, 161–167 (2011)CrossRef
10.
J.W. Roberts, Traffic theory and the internet. IEEE Commun. Mag. 39(1), 94–99 (2001)CrossRef
11.
J. Kaufman, Blocking in a shared resource environment. IEEE Trans. Commun. COM–29(10), 1474–1481 (1981)CrossRef
12.
J. W. Roberts, A service system with heterogenous user requirements—application to multi-service telecommunications systems, in: Proceedings of the Performance of Data Communicatons Systems and their Applications, ed. by G. Pujolle. Amsterdam, North Holland, pp. 423–431, (1981)
13.
M. Glabowski, A. Kaliszan, M. Stasiak, Modeling product form state dependent systems with BPP traffic. J. Perform. Eval. 67(3), 174–190 (2010)CrossRef
14.
15.
E. Gelenbe, G. Pujolle, The behaviour of a single queue in a general queueing network. Acta Informatica 7, 123–136 (1976). Fasc. 2CrossRefMATHMathSciNet
16.
R.P. Cox, H.D. Miller, The Theory of Stochastic Processes (Chapman and Hall, London, 1965)MATH
17.
H. Stehfest, Algorithm 368: numeric inversion of laplace transform. Comm. ACM 13(1), 47–49 (1970)CrossRef
18.
T. Czachorski, J.-M. Fourneau, T. Nycz, F. Pekergin, Diffusion approximation model of multiserver stations with losses. Electron. Notes Theor. Comput. Sci. 232, 125143 (2009)CrossRef
Metadata
Title
Traffic Engineering: Erlang and Engset Models Revisited with Diffusion Approximation
Authors
Tadeusz Czachórski
Tomasz Nycz
Monika Nycz
Ferhan Pekergin
Copyright Year
2014
Book
Information Sciences and Systems 2014

Print ISBN: 978-3-319-09464-9

Electronic ISBN: 978-3-319-09465-6

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-09465-6_26

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