21. Agner Krarup Erlang - Wikipedia Translate this page Agner Krarup Erlang wuchs in ärmlichen Verhältnissen in Lonborg auf und wurde als Kind von seinem Vater – einem Lehrer – ausgebildet. http://de.wikipedia.org/wiki/Agner_Krarup_Erlang

Wikimedia braucht Ihre Hilfe Helfen Sie uns, 200.000$ zu sammeln, damit Wikipedia und ihre Schwesterprojekte auch weiterhin kostenlos und werbefrei der Allgemeinheit zur Verf¼gung stehen. Weitere Informationen auf unserer Spenden-Seite Agner Krarup Erlang aus Wikipedia, der freien Enzyklop¤die Agner Krarup Erlang 1. Januar in Lonborg D¤nemark 3. Februar in Kopenhagen D¤nemark ) war ein d¤nischer Mathematiker Er machte sich unter anderem Gedanken ¼ber Warteschlangenprobleme in der Telefonie . Nach Vorschlag von David George Kendall wurde das MaŸ Erlang nach Agner Krarup Erlang benannt. Erlang entwickelte die in der Nachrichtenverkehrstheorie viel verwendete Erlang-Verteilung und damit die Formeln f¼r Blockierung und Warten im Verlustsystem bzw. Wartesystem. Beispielsweise kann mittels der Erlang B -Formel die Anzahl ben¶tigter Telefonleitungen in einem Callcenter berechnet werden - die Erlang C -Formel dient dazu die Anzahl der ben¶tigten Callcenteragenten f¼r ein gegebenes Anrufaufkommen zu berechnen. Bearbeiten Leben Agner Krarup Erlang wuchs in ¤rmlichen Verh¤ltnissen in Lonborg auf und wurde als Kind von seinem Vater – einem Lehrer – ausgebildet.

22. A. K. Erlang Agner Krarup Erlang (Born at Lonborg (L?nborg), near Tarm, in Jutland, Denmark on January 1 1878; died at Copenhagen, Denmark on February 3, 1929), http://www.fact-index.com/a/a_/a__k__erlang.html

Main Page See live article Alphabetical index A. K. Erlang Agner Krarup Erlang (Born at Lonborg (Lønborg), near Tarm, in Jutland Denmark on January 1 ; died at Copenhagen , Denmark on February 3 ), was a Danish mathematician, statistician, and engineer who invented the fields of queueing theory and traffic engineering He was the son of a schoolmaster and with his maternal mathematical ancestor Thomas Fincke , he demonstrated his potential from an early age by being able to read books upside down. He passed the Preliminary Examination offered by the University of Copenhagen, with distinction, at age 14, after receiving dispensation to sit because he was younger than the usual minimum age. For the next two years he taught alongside his father. With a distant relative providing free board and lodgings, he prepared for and sat the University of Copenhagen entrance examination in , which he passed with distinction. He won a scholarship to the University of Copenhagen and majored in mathematics , but also studied astronomy physics and chemistry . He graduated in with an MA and subsequently taught at several schools over the next 7 years. He maintained his interest in mathematics and received an award for one paper that he submitted to the University of Copenhagen.

23. Agner Krarup Erlang Agner Krarup Erlang. Agner Krarup Erlang (1 stycznia 1878 3 lutego 1929) - matematyk dunski, autor teorii ruchu telekomunikacyjnego. http://encyklopedia.servis.pl/wiki/Agner_Krarup_Erlang

Nauka i Edukacja w Science Servis - Polski Serwis Naukowy Astronomia Biologia Chemia Fizyka ... Encyklopedia Agner Krarup Erlang 1 stycznia 3 lutego ) - matematyk duński autor teorii ruchu ... telekomunikacyjnego To jest tylko zalÄ Å¼ek artykułu . Jeśli możesz, rozbuduj go. To kopia Polskiej Wikipedii, Wolnej Encyklopedii Zawartość strony jest dostępna na licencji GNU Free Documentation License 1.2.

24. Agner Krarup Erlang - Wikipedia http://it.wikipedia.org/wiki/Agner_Krarup_Erlang

Wikimedia ha bisogno del tuo aiuto nella sua raccolta fondi per 200.000$. Per i dettagli leggi qui Agner Krarup Erlang Da Wikipedia, l'enciclopedia libera. Agner Krarup Erlang (* Lonborg, DK, 1 gennaio Copenaghen 3 febbraio , matematico e statistico danese. Erlang ¨ noto per gli studi sulla teoria delle code sviluppato nell'ambito della telefonia. Su proposta di David George Kendall l'unit  di misura Erlang porta il suo nome. Erlang svilupp² la variabile casuale Erlanghiana molto usata nell'ambito della teoria del traffico telefonico per prevenire sovraccarichi della linea o per i sistemi di manutenzione. Per esempio si possono calcolare il numero di linee e di personale necessari ad un call center modifica Biografia Agner Krarup Erlang visse l'infanzia in una situazione economicamente disagiata a Lonborg e venne istruito da suo padre, un insegnante. Nel , a soli 14 anni, supera gli esami primari (dopo aver ottenuto un'autorizzazione speciale per via della sua giovane et ). I due anni successivi insegna nella scuola di suo padre. Nel supera con eccellenza gli esami di ammissione all'Universit  di Copenaghen e comincia gli studi della matematica e delle scienze naturali grazie ad una borsa di studio. Si interessa inizialmente per i problemi di geometria. Dopo la laurea nel

25. Online Memorial Of Erlang, Agner (1878 - 1929) agner erlang was descended on his mother s side from Thomas Fincke. His father was a schoolmaster YES, I want to donate to the memory of agner erlang. http://www.rest-in-peace.info/online-friedhof-Agner-Erlang-130.html

Agner ERLANG Agner Krarup Erlang Agner Erlang Name at birth : Agner Krarup Erlang Date of birth : Place of birth : Lonborg,DENMARK Date of death : Place of death : Copenhagen,DENMARK Place of burial : Copenhagen,DENMARK Personal Information Agner Erlang was descended on his mother's side from Thomas Fincke. His father was a schoolmaster and Erlang was educated at his father's school when he was young. He took his examinations in Copenhagen at the age of 14 and passed with special distinction after having to obtain special permission to take the examinations because he was below the minimum age. He returned to Lonberg and taught at his father's school for two years. In 1896 he passed the entrance examination to the University of Copenhagen with distinction and, since his parents were poor, he was given free board and lodgings in a College of the University of Copenhagen. His studies at Copenhagen were in mathematics and natural science. He attended the mathematics lectures of Zeuthen and Juel and these gave him an interest in geometrical problems which were to remain with him all his life. After graduating in 1901 with mathematics as his major subject and physics, astronomy and chemistry as secondary subjects, he taught in schools for several years. During this time he kept up his interest in mathematics, and he received an award for an essay on Huygens' solution of infinitesimal problems which he submitted to the University of Copenhagen.

26. Erlang, Agner Krarup erlang, agner Krarup (18781929). Danish mathematician who applied the theory of probabilities to problems connected with telephone traffic, http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/E/Erlang/1.html

Erlang, Agner Krarup Danish mathematician who applied the theory of probabilities to problems connected with telephone traffic, such as congestion and waiting time. The erlang is now the unit of telephone-traffic flow. Erlang was born near Tarm in Jutland and studied at the University of Copenhagen. From 1908 he was leader of the laboratory of the Copenhagen Telephone Company. Rules determining the amount of traffic to be carried per selector have been established by every telephone authority and company, following Erlang's formulas. Especially important are his formulas for the probability of barred access in busy-signal systems and for the probability of delay and for the mean waiting time in waiting-time systems. Erlang also constructed a measuring bridge to meter alternating current (the so-called Erlang complex compensator), which was a considerable improvement on earlier apparatus of similar function. Of equal significance were his investigations into telephone transformers and telephone cable theory.

27. Agner Krarup Erlang (1878 - 1929) The mathematics underlying today s complex telephone networks is still based on his work. erlang was the first person to study the problem of telephone http://pass.maths.org.uk/issue2/erlang/

about Plus support Plus ... Plus search plus with google home latest issue explore the archive ... news Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Issue 2 May 1997 Contents Features Call routing in telephone networks Agner Krarup Erlang (1878 - 1929) Testing Bernoulli: a simple experiment Are the polls right? ... What mathematicians get up to Career interview Student interviews Career interview - Accountant Regulars Plus puzzle Pluschat Mystery mix Letters Staffroom New GCE AS/A-level Cores The Open Learning Foundation Mathematics Working Group Running before we can walk? Delegate's diary: CAL97 ... posters! May 1997 Features Agner Krarup Erlang (1878 - 1929) A.K. Erlang was the first person to study the problem of telephone networks. By studying a village telephone exchange he worked out a formula, now known as Erlang's formula, to calculate the fraction of callers attempting to call someone outside the village that must wait because all of the lines are in use. Although Erlang's model is a simple one, the mathematics underlying today's complex telephone networks is still based on his work. Agner returned home where he remained for two years, teaching at his father's school for two years and continuing with his studies. He also learnt French and Latin during this period. By the time he was 16 his father wanted him to go to university but money was scarce. A distant family relation provided free accommodation for him while he prepared for his university entrance examinations at the Frederiksborg Grammar School. He won a scholarship to the University of Copenhagen and completed his studies there in 1901 as an MA with mathematics as the main subject and astronomy, physics and chemistry as secondary subjects.

28. Erlang Biography of agner erlang (18781929) agner erlang was descended on his mother s side from Thomas Fincke. His father was a schoolmaster and erlang was http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Erlang.html

Agner Krarup Erlang Born: 1 Jan 1878 in Lonborg (near Tarm), Jutland, Denmark Died: 3 Feb 1929 in Copenhagen, Denmark Click the picture above to see five larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Agner Erlang was descended on his mother's side from Thomas Fincke . His father was a schoolmaster and Erlang was educated at his father's school when he was young. He took his examinations in Copenhagen at the age of 14 and passed with special distinction after having to obtain special permission to take the examinations because he was below the minimum age. He returned to Lonberg and taught at his father's school for two years. In 1896 he passed the entrance examination to the University of Copenhagen with distinction and, since his parents were poor, he was given free board and lodgings in a College of the University of Copenhagen. His studies at Copenhagen were in mathematics and natural science. He attended the mathematics lectures of Zeuthen and Juel and these gave him an interest in geometrical problems which were to remain with him all his life.

29. Erlang Portraits Portraits of agner erlang. The URL of this page is, © Copyright information. http//wwwhistory.mcs.st-andrews.ac.uk/history/PictDisplay/erlang.html. http://www-groups.dcs.st-and.ac.uk/~history/PictDisplay/Erlang.html

Agner Erlang JOC/EFR August 2005 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Erlang.html

30. Online Gedächtnis An Erlang, Agner (1878 - 1929) The online memorial of erlang, agner. agner erlang was descended on his mother s side from Thomas Fincke. His father was a schoolmaster and erlang was http://www.ruhe-in-frieden.com/online-friedhof-Agner-Erlang-130.html

Agner ERLANG Agner Krarup Erlang Agner Erlang Geburtsname : Agner Krarup Erlang Geburtsdatum : Geburtsort : Lonborg,DENMARK Sterbedatum : Sterbeort : Copenhagen,DENMARK Begräbnisort : Copenhagen,DENMARK Persönliche Information Agner Erlang was descended on his mother's side from Thomas Fincke. His father was a schoolmaster and Erlang was educated at his father's school when he was young. He took his examinations in Copenhagen at the age of 14 and passed with special distinction after having to obtain special permission to take the examinations because he was below the minimum age. He returned to Lonberg and taught at his father's school for two years. In 1896 he passed the entrance examination to the University of Copenhagen with distinction and, since his parents were poor, he was given free board and lodgings in a College of the University of Copenhagen. His studies at Copenhagen were in mathematics and natural science. He attended the mathematics lectures of Zeuthen and Juel and these gave him an interest in geometrical problems which were to remain with him all his life. After graduating in 1901 with mathematics as his major subject and physics, astronomy and chemistry as secondary subjects, he taught in schools for several years. During this time he kept up his interest in mathematics, and he received an award for an essay on Huygens' solution of infinitesimal problems which he submitted to the University of Copenhagen.

31. Agner Krarup Erlang -- Facts, Info, And Encyclopedia Article agner Krarup erlang (January 1, 1878–February 3, 1929) was a (A Scandinavian language that is the official language of Denmark) Danish (A person skilled in http://www.absoluteastronomy.com/encyclopedia/a/ag/agner_krarup_erlang.htm

Agner Krarup Erlang [Categories: Business theorists, Statisticians, Electrical engineers, Danish engineers, 20th century mathematicians, Danish mathematicians, 1929 deaths, 1878 births] Agner Krarup Erlang (A Scandinavian language that is the official language of Denmark) Danish (A person skilled in mathematics) mathematician (Someone versed in the collection and interpretation of numerical data (especially someone who uses statistics to calculate insurance premiums)) statistician , and (A person who uses scientific knowledge to solve practical problems) engineer who invented the fields of (Click link for more info and facts about queueing theory) queueing theory and (Click link for more info and facts about traffic engineering) traffic engineering Erlang was born at Lonborg (Lønborg), near Tarm, in (An indecisive naval battle in World War I (1916); fought between the British and German fleets off the northwestern coast of Denmark) Jutland . He was the son of a schoolmaster and with his maternal mathematical ancestor (Click link for more info and facts about Thomas Fincke) Thomas Fincke , he demonstrated his potential from an early age by being able to read books upside down. He passed the

32. Queueing Theory -- Facts, Info, And Encyclopedia Article (Click link for more info and facts about agner Krarup erlang) agner Krarup erlang, a (A Scandinavian language that is the official language of Denmark) http://www.absoluteastronomy.com/encyclopedia/q/qu/queueing_theory.htm

Queueing theory [Categories: Operations research, Services management and marketing, Production and manufacturing, Stochastic processes] Queueing theory (sometimes spelled queuing theory ) is the mathematical study of waiting lines (or (A line of people or vehicles waiting for something) queue s). There are several related processes, arriving at the back of the queue, waiting in the queue (essentially a storage process), and being served by the server at the front of the queue. It is applicable in (An exchange of molecules (and their kinetic energy and momentum) across the boundary between adjacent layers of a fluid or across cell membranes) transport and ((often plural) systems used in transmitting messages over a distance electronically) telecommunication . Occasionally linked to (Click link for more info and facts about ride theory) ride theory (Click link for more info and facts about Agner Krarup Erlang) Agner Krarup Erlang , a (A Scandinavian language that is the official language of Denmark) Danish engineer who worked for the Copenhagen Telephone Exchange, published the first paper on queueing theory in 1909.

33. INFORMS: Erlang Prize Of The Applied Probabilty Society agner erlang was descended on his mother s side from Thomas Fincke. His father was a schoolmaster and erlang was educated at his father s school when he was http://www.informs.org/Prizes/whoisErlang.html

Go to INFORMS Page ... INFORMS Home What's New Info for Members Info for Nonmembers Conferences Continuing Education Education/Students Employment Prizes Publications Subdivisions Searchable Databases Links About this Web Site INFORMS Online Bookstore Discussion Search Erlang Prize of the Applied Probability Society of INFORMS Who was Erlang? According to the biography of Erlang published by the School of Mathematics and Statistics at University of St. Andrews, Scotland , Erlang's biography is as follows. This document is used with the permission of University of St. Andrews. Agner Krarup Erlang Born: 1 Jan 1878 in Lonborg (near Tarm), Jutland, Denmark Died: 3 Feb 1929 in Copenhagen, Denmark Agner Erlang was descended on his mother's side from Thomas Fincke . His father was a schoolmaster and Erlang was educated at his father's school when he was young. He took his examinations in Copenhagen at the age of 14 and passed with special distinction after having to obtain special permission to take the examinations because he was below the minimum age. He returned to Lonberg and taught at his father's school for two years. In 1896 he passed the entrance examination to the University of Copenhagen with distinction and, since his parents were poor, he was given free board and lodgings in a College of the University of Copenhagen.

34. INFORMS - Applied Probability Society Prizes Society Awards · Best Publication Award; · erlang Prize. Best Publication Award. This award is for outstanding learn more about agner erlang http://www.informs.org/Prizes/AppliedProbabilityPrize.html

Go to INFORMS Page ... INFORMS Home What's New Info for Members Info for Nonmembers Conferences Continuing Education Education/Students Employment Prizes Publications Subdivisions Searchable Databases Links About this Web Site INFORMS Online Bookstore Discussion Search INFORMS Applied Probability Society The Society is concerned with the application of probability theory to systems that involve random phenomena and promotes the development and use of methods for the improvement of evaluation, control and design of these systems. Society Awards: Best Publication Award Erlang Prize Best Publication Award This award is for outstanding contributions to the field of applied probability. The award is accompanied by a plaque and a $1,000 honorarium. The Award is given once every two years. To be eligible for the award, the contribution (book, paper or set of papers) must meet the following criteria: The contribution will be judged according to: Nominations may be made by anyone, including the nominee. Application Process: For specific information, please consult the

35. Connected Earth Agner Krarup Erlang (1878-1929) The Maths agner Krarup erlang developed the mathematical formulae that underpinned the design of telephone networks from the He passed his final school exam with http://www.connected-earth.com/Galleries/Pioneersandpersonalities/E/Erlang/

@import url("/Templates/css/ce_lower.css"); Skip to main content Home Sitemap A to Z Search this site: Galleries Collections Days out Learning Centre ... Erlang Agner Krarup Erlang (1878-1929) : the maths behind telephone traffic Agner Krarup Erlang developed the mathematical formulae that underpinned the design of telephone networks from the 1920s. He passed his final school exam with distinction when he was just 14 and become a schoolteacher when he was only 15! A few years later, he studied mathematics and natural science at Copenhagen University, where he developed a fascination for problems of geometry. His work on probability theory led him to join the Mathematical Association, where he met Johan Jensen, chief engineer at the Copenhagen Telephone Company. Jensen persuaded Erlang to join the telephone company and find a solution to the problem of waiting times for telephone calls. This led to the publication of his first paper 'The Theory of Probability and Telephone Conversations' in 1909. His later work on the characteristics of telephone networks was soon adopted by telephone companies throughout the world, and his name lives on as the unit used to measure telephone traffic. About Contact Connected Earth Links

36. Erlang From FOLDOC person agner Krarup erlang. (The other senses were named after him). 2. language A concurrent functional language for large industrial realtime systems http://foldoc.doc.ic.ac.uk/foldoc/foldoc.cgi?Erlang

37. What Is An Erlang akerlang.gif (13595 bytes) agner Krarup erlang was born in 1878 in Lønborg, Denmark. He was a pioneer in the study of telecommunications traffic and, http://www.erlang.com/whatis.html

Home Free calculators Products Tech. papers ... About us This paper describes the telecommunications unit Erlang, and its application in teletraffic theory. Online Erlang Traffic Calculators are also hosted at this Web site and can be used free of charge now. Site highlights Home page Online Calculators Products Forum ... Contact us Internet Telephony We now offer high quality, low cost Internet Telephony. Instant sign up and online account management. A-Z Wholesale services also available. Click here for info Free newsletter To receive our newsletters, enter your email address and press the button: Privacy statement Contents Erlang - a unit of traffic Erlang traffic models Further reading A.K. Erlang - a tribute ... Conclusion Erlang - a unit of traffic An Erlang is a unit of telecommunications traffic measurement. Strictly speaking, an Erlang represents the continuous use of one voice path. In practice, it is used to describe the total traffic volume of one hour. For example, if a group of user made 30 calls in one hour, and each call had an average call duration of 5 minutes, then the number of Erlangs this represents is worked out as follows:

38. Erlang Programming Language - A Whatis.com Definition Named for the Danish mathematician agner Krarup erlang, the language was developed by the Ericsson Computer Sciences Lab to build software for its own http://whatis.techtarget.com/definition/0,,sid9_gci212072,00.html

Search our IT-specific encyclopedia for: or jump to a topic: Choose a topic... CIO CRM Data Center Domino Enterprise Linux Enterprise Voice Exchange IBM S/390 IBM AS/400 Mobile Computing Networking Oracle SAP Security Small Medium Business SQL Server Storage Visual Basic Web Services Windows 2000 Windows Security Windows Systems Advanced Search Browse alphabetically: A B C D ... Programming Erlang programming language Also see erlang , a unit of telephone traffic. Erlang is a programming language designed for developing robust systems of programs that can be distributed among different computers in a network. Named for the Danish mathematician Agner Krarup Erlang, the language was developed by the Ericsson Computer Sciences Lab to build software for its own telecommunication products. In use for a number of years at Ericsson and other companies, Erlang is taught in over 80 universities and colleges world-wide and is freely available as open source code. Erlang is similar to Java in that it uses a virtual machine and supports multithreading . However, whereas the Java development community focuses on Web applications, Erlang is aimed at the market for extremely robust servers and embedded systems. Erlang is described as a functional programming language, meaning that it emphasizes the evaluation of expressions rather than the execution of commands. The expressions use functions to derive basic values. (Two other well-known programming models are

39. A. K. Erlang Telephone Copenhagen Krarup Agner Theory Company AK erlang Telephone Copenhagen Krarup agner Theory Company Economy. http://www.economicexpert.com/a/A:Erlang.htm

var GLB_RIS='http://www.economicexpert.com';var GLB_RIR='/cincshared/external';var GLB_MMS='http://www.economicexpert.com';var GLB_MIR='/site/image';GLB_MML='/'; document.write(''); document.write(''); document.write(''); document.write(''); A1('s',':','html'); Non User A B C ... Home First Prev [ 1 Next Last Agner Krarup Erlang January 1 February 3 ) was a Danish mathematician statistician , and engineer who invented the fields of queueing theory and traffic engineering Erlang was born at Lonborg (Lønborg), near Tarm , in Jutland . He was the son of a schoolmaster and with his maternal mathematical ancestor Thomas Fincke , he demonstrated his potential from an early age by being able to read books upside down. He passed the Preliminary Examination offered by the University of Copenhagen , with distinction, at age 14, after receiving dispensation to sit because he was younger than the usual minimum age. For the next two years he taught alongside his father. With a distant relative providing free board and lodgings, he prepared for and sat the University of Copenhagen entrance examination in , which he passed with distinction. He won a scholarship to the University of Copenhagen and majored in

40. Agner Krarup Erlang | životopis agner Krarup erlang vedecký výzkum v oblasti telekomunikací. erlanguv vzorec. http://www.converter.cz/fyzici/erlang.htm

Agner Krarup Erlang Úvodní strana Fyzici Agner Krarup Erlang Agner Krarup Erlang byl prvním, kdo se vìdecky zabýval problematikou telefonních sítí. Známý je tzv. Erlangùv vzorec , který urèuje pomìr volajících, kteøí se snaží dovolat v èase, kdy je sí používána (obsazená). Agner Krarup Erlang nejdøív navštìvoval školu, kde pùsobil jeho otec. Po ukonèení základního vzdìlání získal soukromého uèitele. Ve 14 letech složil zkoušky na kodaòské univerzitì a získal zvláštní povolení vyuèovat. Vrátil se domù a dva roky uèil na otcovì škole a pokraèoval ve studiích (mj. francouzštinu a latinu). Pozdìji získal stipendium na kodaòské univerzitì, kde získal v roce 1901 magisterský titul ( MA ) v matematice, astronomii, fyzice a chemii. V následujících sedmi letech Erlang uèil na rùzných školách. Aèkoli nebyl špatný uèitel, vždycky tíhl k vìdecké práci. Erlang hodnì cestoval (mj. Francie, Švédsko, Velká Británie) a navštìvoval galerie a knihovny. Erlang byl èlenem Dánské matematické spoleènosti. Tady se mohl setkávat s dalšími matematiky; nìkteøí z nich byli èleny Kodaòské telefonní spoleènosti. K této firmì Erlang nastoupil v roce 1908. Erlang a telefonie Agner Krarup Erlang zaèal pracovat na uplatnìní teorie pravdìpodobnosti na problémy telefonního provozu. V roce 1909 Erlang publikoval svou první práci

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