ErlangB
ErlangB[c,a]
computes the Erlang B loss probability for an M/M/c/c queue.
Details
- ErlangB is also known as Erlang's blocking function.
- ErlangB allows c to be any positive integer and a to be any positive real number.
- ErlangB[c,a] is equivalent to Probability[n==c,nStationaryDistribution[QueueingProcess[λ,μ,c,c]]] with a=λ/μ.
Examples
open all close allBasic Examples (2)
Compute a loss probability using ErlangB:
Obtain the same result using Probability:
Scope (4)
Applications (2)
A company has five 1 Mbps lines to carry video conferences between two company sites. Suppose that each video conference requires 1 Mbps and lasts for an average of one hour. Assume that requests for video conferences arrive according to a Poisson process with a rate of three calls per hour. Find the probability that a call request is blocked due to lack of lines:
A modem pool consists of four modems and the offered traffic intensity is 2 Erlangs. Find the probability that a connection fails due to blocking:
Text
Wolfram Research (2012), ErlangB, Wolfram Language function, https://reference.wolfram.com/language/ref/ErlangB.html.
CMS
Wolfram Language. 2012. "ErlangB." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ErlangB.html.
APA
Wolfram Language. (2012). ErlangB. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ErlangB.html