A statistic approach for deriving the short message transmission delay distributions

Author

Hung, Hui-Nien ; Lin, Yi-Bing ; Lu, Ming-Kun ; Peng, Nan-Fu

Author_Institution

Inst. of Stat., Nat. Chiao Tung Univ., Taiwan

Volume

3

Issue

6

fYear

2004

Firstpage

2345

Lastpage

2352

Abstract

Short Message Service (SMS) is one of the most popular mobile data services. This paper develops a Web-based short message system and analyzes the short message transmission delays based on 40 000 measured data collected from commercial operation. We investigate the distributions of SMS round-trip transmission delays. These distributions are roughly approximated by truncated normal, gamma, log-normal, and Weibull distributions with various parameters, which can be utilized in theoretical analysis. Furthermore, with the nonparametric fitting approach, we use the rejection method to develop random number generators for these delays, which can be used in any simulation models that employ SMS transmission delays.

Keywords

Internet; Weibull distribution; delays; electronic messaging; gamma distribution; log normal distribution; mobile radio; nonparametric statistics; random number generation; telecommunication services; Web-based short message system; Weibull distribution; gamma distribution; log-normal distribution; mobile telecommunications network; nonparametric fitting approach; random number generator; rejection method; short message transmission delay distribution; statistic approach; truncated normal distribution; Base stations; Delay; Educational institutions; GSM; Internet; Message service; Message systems; Random number generation; Statistical distributions; Weibull distribution;

fLanguage

English

Journal_Title

Wireless Communications, IEEE Transactions on

Publisher

ieee

ISSN

1536-1276

Type

jour

DOI

10.1109/TWC.2004.837649

Filename

1374940