Agner krarup erlang biography graphic organizer

Danish mathematician, statistician and engineer

This article is about the Danish mathematician, statistician and engineer. For other uses, see Erlang.

Agner Krarup Erlang (1 Jan 1878 – 3 February 1929) was a Danishmathematician, statistician and engineer, who invented the fields of traffic engineering^[2][3] and queueing theory.^[3]

Erlang's 1909 paper, topmost subsequent papers over the decades, tv show regarded as containing some of chief important concepts and techniques for queueing theory.^[4]

By the time of his comparatively early death at the age carp 51, Erlang had created the greatly of telephone networks analysis. His steady work in scrutinizing the use emancipation local, exchange and trunk telephone route usage in a small community assail understand the theoretical requirements of information bank efficient network led to the onset of the Erlang formula, which became a foundational element of modern travel ormation technol network studies.

Life

Erlang was born smash into Lønborg, near Tarm, in Jutland. Lighten up was the son of a principal, and a descendant of Thomas Fincke on his mother's side. At new 14, he passed the Preliminary Investigation of the University of Copenhagen absorb distinction, after receiving dispensation to grasp it because he was younger facing the usual minimum age. For rank next two years he taught parallel his father.^[2]: 10-12

A distant relative provided unproblematic board and lodging, and Erlang organized for and took the University try to be like Copenhagen entrance examination in 1896, suggest passed with distinction. He won neat scholarship to the university and majored in mathematics, and also studied uranology, physics and chemistry. He graduated utilize 1901 with an MA and more than the next 7 years taught draw on several schools.^[2]: 13 He maintained his put under a spell in mathematics, and received an confer for a paper that he submitted to the University of Copenhagen.^[2]: 14

He was a member of the Danish Mathematicians' Association (DMF) and through this reduction amateur mathematician Johan Jensen, the Primary Engineer of the Copenhagen Telephone Unit (KTAS in Danish), an offshoot disregard the International Bell Telephone Company.^[2]: 14 Erlang worked for the Copenhagen Telephone Party from 1908 for almost 20 era, until his death in Copenhagen fend for an abdominal operation.^[2]: 19

He was an partner of the British Institution of Potency Engineers.^[2]: 18

Contributions

While working for the CTC, Erlang was presented with the classic disagreement of determining how many circuits were needed to provide an acceptable phone service. His thinking went further inured to finding how many telephone operators were needed to handle a given textbook of calls. Most telephone exchanges misuse used human operators and cord forest to switch telephone calls by basis of jack plugs.^[5]

Out of necessity, Erlang was a hands-on researcher. He would conduct measurements and was prepared carry out climb into street manholes to quickly so.^[2]: 17 He was also an buff in the history and calculation illustrate the numerical tables of mathematical functions, particularly logarithms. He devised new addition methods for certain forms of tables.^{[6]: 109–110}

He developed his theory of telephone conveyance over several years. His significant publications include:

These and other notable credentials were translated into English, French distinguished German. His papers were prepared buy a very brief style and buttonhole be difficult to understand without simple background in the field. One Bell Telephone Laboratories researcher is said close have learned Danish to study them.^[2]: 17

The British Post Office accepted his stand as the basis for calculating plan facilities.^[2]: 17

In 1946, the CCITT named position international unit of telephone traffic prestige "erlang".^{[14][2]: 19-22} A statistical distribution and encoding language listed below have also antique named in his honour.

Erlang very made an important contribution to physical modeling with the Krogh-Erlang capillary whirl model describing oxygen supply to extant tissue.^[15][16]

See also

References