A Limit of Crosspoint Number

Author

Ikeno, Nobuichi

Volume

Issue

fYear

1959

fDate

5/1/1959 12:00:00 AM

Firstpage

187

Lastpage

196

Abstract

This paper describes a theoretical limitation on the number of crosspoints in large scale switching networks. The conclusion is as follows: given any blocking rate $({\\neq}0, 1)$ , and any $\\epsilon > 0$ , we can construct a network with less crosspoints than $X_{A} (1 +{\\epsilon})$ , where $X_{A} = 10.90 A \\log _{e}A$ , and cannot with less crosspoints than $X_A$ , when the size of the network, as well as the total traffic $A$ , becomes sufficiently large.

Keywords

Switching theory; Communication switching; Communication systems; Conductors; Joining processes; Laboratories; Large-scale systems; Probability distribution; Speech; Telecommunication traffic; Telephony;

fLanguage

English

Journal_Title

Circuit Theory, IRE Transactions on

Publisher

ieee

ISSN

0096-2007

Type

jour

DOI

10.1109/TCT.1959.1086596

Filename

1086596

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1201085