Summary
IEICE Information and Communication Technology Forum
2018
Session Number:SESSION00
Session:
Number:SESSION00_2
Erlang's Ideal Grading in modeling modern telecommunications systems
S?awomir Hanczewski,
pp.-
Publication Date:2018/8/31
Online ISSN:2188-5079
DOI:10.34385/proc.32.SESSION00_2
Summary:
Erlang's Ideal Grading (EIG) is one of the oldest models of telecommunications systems that has been proposed within the domain of traffic engineering. The structure of the EIG group that services single service traffic and the corresponding analytical model were proposed by Erlang as early as 1917. The formula for a determination of the blocking probability in Erlang's Ideal Grading is called the Erlang驕ｯ・ｶ陷・ｱ Interconnection loss Formula. Because of its complexity, the group had no practical applications for quite a long time. It was only in the 1970s that the EIG model started to be used in approximate modeling of other telecommunications systems, for it was observed that the characteristics of most of uniform non-full-availability groups executed in network nodes at the time were similar to those of Erlang's Ideal Gradings and could provide a basis for effective approximations to be used in engineering practice. Then, the model proposed by Erlang started to be used in modeling single service switching networks. Regrettably, the absence of an appropriate EIG model for multiservice traffic caused the EIG to have lost the interest of researchers. It was only at the turn of the twentieth and twenty first centuries, and thanks to the development of EIG models with multiservice traffic, that the EIG could be used again in modern telecommunications traffic engineering. In my talk, a selected number of examples of the application of the EIG model for analyzing modern telecommunications systems will be described. The presented examples confirm the universal nature of Erlang驕ｯ・ｶ陷・ｱ Ideal Grading model and the possibility of its application in engineering practice.