DocumentCode
764431
Title
Asymptotic Expansion for Erlang Loss Function and Its Derivative
Author
Akimaru, Haruo ; Takahashi, Haruhisa
Author_Institution
School of Information and Computer Sciences, Toyohashi University of Technology, Tempaku-cho, Toyohashi, Japan
Volume
29
Issue
9
fYear
1981
fDate
9/1/1981 12:00:00 AM
Firstpage
1257
Lastpage
1260
Abstract
This paper reveals the general structure of the asymptotic expansion for the Erlang loss function and its derivative. A recursive formula for the coefficients in the expansion is given and some of numerical examples are presented. The truncation error of the expansion is estimated and charts for calculation with the error less than 0.1 percent are shown. The present formula facilitates the calculation by saving the computation time, and it is useful for the optimization problems of switching systems and other applications.
Keywords
Communication systems; Application software; Communication switching; Communications Society; Cost function; Finite wordlength effects; Gaussian distribution; Production facilities; Switching systems; Telecommunication traffic; Terrorism;
fLanguage
English
Journal_Title
Communications, IEEE Transactions on
Publisher
ieee
ISSN
0090-6778
Type
jour
DOI
10.1109/TCOM.1981.1095145
Filename
1095145
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