1 / 9

Erlang Formula

Erlang Formula. Nelson Fonseca State University of Campinas. Erlang. Agner Krarup Erlang ( January 1 , 1878 – February 3 , 1929 ) was a Danish mathematician , statistician , and engineer who invented the fields of traffic engineering and queueing theory .

augustusj
Download Presentation

Erlang Formula

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Erlang Formula Nelson Fonseca State University of Campinas

  2. Erlang • Agner Krarup Erlang (January 1, 1878–February 3, 1929) was a Danishmathematician, statistician, and engineer who invented the fields of traffic engineering and queueing theory. • He graduated in 1901 with an MA • It was while working for the Copenhagen Telephone Company that Erlang was presented with the classic problem of determining how many circuits were needed to provide an acceptable telephone service.

  3. Erlang’s famous publications • In 1909 - "The Theory of Probabilities and Telephone Conversations" - which proves that the Poisson distribution applies to random telephone traffic. • In 1917 - "Solution of some Problems in the Theory of Probabilities of Significance in Automatic Telephone Exchanges" - which contains his classic formulae for loss and waiting time.

  4. Erlang Unit • The dimensionless unit named the Erlang is a statistical measure of telecommunicationstraffic used in telephony. • The traffic measured in Erlangs is used to determine if a system is over- or under-provisioned (has too many or too few resources allocated).

  5. Erlang Unit • An alternative way to formulate this explanation is that an erlang is essentially a "use multiplier" per unit time. 100% use is 1 erlang, 200% use is 2 erlangs, etc. For example, if total cell phone use in a given area per hour is 180 minutes, this represents 3 Erlangs.

  6. Grade of Services • Grade of serviceis the probability of a call in a circuit group being blocked or delayed for more than a specified interval, expressed as a vulgar fraction or decimal fraction. This is always with reference to the busy hour when the traffic intensity is the greatest.

  7. On-Line Calculator • http://www.erlang.com/calculator/ • http://www.erlang.com.br

More Related