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Thread Subject:
Erlang B

Subject: Erlang B

From: Michael

Date: 15 Aug, 2010 15:55:06

Message: 1 of 2

Hello,

anyone could help me regarding this machine problem?
It is about the Erlang B Traffic Formula which:

Pb = A^c / factorial c * (summation of c(k=0) A^k / K!)

Pb is given and c is given, now i need to solve for A in erlangs to solve the Erlang B table up to C=20. The (summation....) can be further simplify to its maclauren equivalent of e^A. hope anyone can help.thanks

Mike

Subject: Erlang B

From: Roger Stafford

Date: 15 Aug, 2010 17:58:03

Message: 2 of 2

"Michael " <mikeinmars@yahoo.com> wrote in message <i492kq$375$1@fred.mathworks.com>...
> Hello,
>
> anyone could help me regarding this machine problem?
> It is about the Erlang B Traffic Formula which:
>
> Pb = A^c / factorial c * (summation of c(k=0) A^k / K!)
>
> Pb is given and c is given, now i need to solve for A in erlangs to solve the Erlang B table up to C=20. The (summation....) can be further simplify to its maclauren equivalent of e^A. hope anyone can help.thanks
>
> Mike
- - - - - - - - - - -
  According to http://en.wikipedia.org/wiki/Erlang_(unit) that summation you have should be in the denominator and the summation should range from k = 0 to k = c.

  If you multiply both sides of the equation by that summation and subtract one side from the other, you get a polynomial equation in A. You can use matlab's roots function to solve for the roots of that polynomial. The degree of the polynomial is c so you will get that many roots and it will be your task to pick out the right one. Probably most of them, maybe all but one, will either be complex-valued or negative and therefore easy to discard.

Roger Stafford

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