Erlang's Lost Call Assumptions
To calculate the Grade of Service of a specified group of circuits or routes, Agner Krarup Erlang used a set of assumptions that relied on the network losing calls when all circuits in a group were busy. These assumptions are:
- All traffic through the network is pure-chance traffic, i.e. all call arrivals and terminations are independent random events
- There is statistical equilibrium, i.e., the average number of calls does not change
- Full availability of the network, i.e., every outlet from a switch is accessible from every inlet
- Any call that encounters congestion is immediately lost.
From these assumptions Erlang developed the Erlang-B formula which describes the probability of congestion in a circuit group. The probability of congestion gives the Grade of Service experienced.
Read more about this topic: Grade Of Service
Famous quotes containing the words lost, call and/or assumptions:
“When shall we three meet again?
In thunder, lightning, or in rain?
When the hurly-burlys done,
When the battles lost and won.”
—William Shakespeare (15641616)
“There are certain queer times and occasions in this strange mixed affair we call life when a man takes this whole universe for a vast practical joke, though the wit thereof he but dimly discerns, and more than suspects that the joke is at nobodys expense but his own.”
—Herman Melville (18191891)
“Why did he think adding meant increase?
To me it was dilution. Where do these
Innate assumptions come from?”
—Philip Larkin (19221986)