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Probability of Wait

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Jul 24, 2020, 6:28:07 PM
Created by
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Sep 18, 2015, 2:22:39 AM
`P_W = ( "A" ^ "N" /( "N" !) * "N" /( "N" - "A" )) / ((sum_(i=0)^( "N" -1) "A" ^i/(i!)) + "A" ^ "N" /( "N" !) * "N" /( "N" - "A" ))`
`"Total Traffic Offered"`
`"Number of Servers"`
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This equation represents the offered load and is measured in Erlangs.  Erlangs are a dimensionless unit often used in telephony to measure carried load.  It is an element frequently used in queuing models.

The offered traffic measured in Erlangs is related to call arrival rate, `lambda` and average call holding time, h, by1 :

`E = lambda * h`

For example, a single cord circuit has the capacity to be used for 60 minutes in one hour. If one hundred six-minute calls are received on a group of such circuits, then assuming no other calls are placed for the rest of the hour, the total traffic in that hour will be six hundred minutes, or 10 erlangs.2

  1. ^ https://en.wikipedia.org/wiki/Erlang_%28unit%29
  2. ^ https://en.wikipedia.org/wiki/Erlang_%28unit%29

This equation, Probability of Wait, references 1 page
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