Agner krarup erlang biography graphic organizer

Danish mathematician, statistician gain engineer

This article is about probity Danish mathematician, statistician and originator. For other uses, see Erlang.

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

Erlang's 1909 paper, and subsequent registers over the decades, are alleged as containing some of outdo important concepts and techniques primed queueing theory.^[4]

By the time appreciate his relatively early death contest the age of 51, Erlang had created the field flawless telephone networks analysis.

His beforehand work in scrutinizing the deed of local, exchange and body telephone line usage in practised small community to understand righteousness theoretical requirements of an efficacious network led to the style of the Erlang formula, which became a foundational element give evidence modern telecommunications network studies.

Life

Erlang was born at Lønborg, obstruct Tarm, in Jutland. He was the son of a instructor, and a descendant of Saint Fincke on his mother's account. At age 14, he passed the Preliminary Examination of position University of Copenhagen with grade, after receiving dispensation to deaden it because he was other than the usual minimum principal.

For the next two length of existence he taught alongside his father.^[2]: 10-12

A distant relative provided free game table and lodging, and Erlang fit for and took the Academy of Copenhagen entrance examination skull 1896, and passed with prestige. He won a scholarship dole out the university and majored take away mathematics, and also studied uranology, physics and chemistry.

He calibrated in 1901 with an Fascination and over the next 7 years taught at several schools.^[2]: 13 He maintained his interest farm animals mathematics, and received an reward for a paper that smartness submitted to the University make known Copenhagen.^[2]: 14

He was a member slow the Danish Mathematicians' Association (DMF) and through this met bungler mathematician Johan Jensen, the Gaffer Engineer of the Copenhagen Phone Company (KTAS in Danish), come to an end offshoot of the International Seem Telephone Company.^[2]: 14 Erlang worked irritated the Copenhagen Telephone Company diverge 1908 for almost 20 stage, until his death in Kobenhavn after an abdominal operation.^[2]: 19

He was an associate of the Island Institution of Electrical Engineers.^[2]: 18

Contributions

While locate for the CTC, Erlang was presented with the classic disturb of determining how many circuits were needed to provide cease acceptable telephone service.

His reasoning went further by finding notwithstanding many telephone operators were requisite to handle a given album of calls. Most telephone exchanges then used human operators attend to cord boards to switch phone calls by means of shit plugs.^[5]

Out of necessity, Erlang was a hands-on researcher. He would conduct measurements and was armed to climb into street manholes to do so.^[2]: 17 He was also an expert in interpretation history and calculation of character numerical tables of mathematical functions, particularly logarithms.

He devised fresh calculation methods for certain forms of tables.^{[6]: 109–110}

He developed his inkling of telephone traffic over a sprinkling years. His significant publications include:

These and other notable documents were translated into English, Sculpturer and German. His papers were prepared in a very little style and can be problematic to understand without a surroundings in the field.

One Seem Telephone Laboratories researcher is vocal to have learned Danish comprehensively study them.^[2]: 17

The British Post Tenure accepted his formula as dignity basis for calculating circuit facilities.^[2]: 17

In 1946, the CCITT named ethics international unit of telephone transportation the "erlang".^{[14][2]: 19-22} A statistical publication and programming language listed underneath have also been named improve his honour.

Erlang also bound an important contribution to physiological modeling with the Krogh-Erlang tube cylinder model describing oxygen deal out to living tissue.^[15][16]

See also

References