41. Erlang In BYTE.com One of the languages presented there was erlang, named after agner Krarup erlang (18781929), a Danish mathematician who developed a theory of stochastic http://www.erlang.se/publications/BYTE2003.html

Erlang By Martin Heller In my December, 2002 column, I discussed the Lightweight Languages conference I attended at MIT in November. One of the languages presented there was Erlang, named after Agner Krarup Erlang (1878-1929), a Danish mathematician who developed a theory of stochastic processes in statistical equilibrium that is widely used in the telecommunications industry. Joe Armstrong of the Distributed Systems Laboratory of the Swedish Institute of Computer Science gave the talk. Joe was and is one of the architects of the language and one of the authors of Concurrent Programming in Erlang A Little History Erlang was designed for programming concurrent, real-time, distributed fault-tolerant systems. Erlang was designed in parallel with its first applications, in an internal project about languages for switching systems at Ericsson, the Swedish telecom giant. At first, Erlang was a secret project. Initially, it was slow, as the implementation was done on top of a Prolog interpreter; later, it was reimplemented with a compiler, on several operating systems and processors, and met its designers' performance goals. Meanwhile, Ericsson, in its infinite wisdom, standardized on C++ for all its new projects, which led to Erlang becoming an open source language. One consequence was that the Erlang team left Ericsson for a startup. Another consequence of this is that one of Ericsson's biggest competitors, Nortel Networks, adopted Erlang for some of its own products, including the Alteon SSL Accelerator.

42. Lexikon Agner Krarup Erlang agner Krarup erlang aus der http://lexikon.freenet.de/Agner_Krarup_Erlang

E-Mail Mitglieder Community Suche ... Hilfe document.write(''); im Web in freenet.de in Shopping Branchen Lexikon Artikel nach Themen alphabetischer Index Artikel in Kategorien Weitere Themen Sexy, sexier, Longoria: Die erotischsten TV-Stars aller Zeiten Whitney widerlich: Ab ins Klo mit der ekligen TV-Show IAA: Fords spekta- kul¤res viert¼riges Coup© Iosis Werden Sie zum Star, der HotVote ist Ihr sexy Start ... Firefox aufmotzen: Wir pr¤sentieren vier Erweiterungen Sie sind hier: Startseite Lexikon Agner Krarup Erlang Agner Krarup Erlang 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.

43. Smart Computing Encyclopedia Entry - Erlang erlang is a programming language named for agner erlang (18781929), the Danish telecommunications engineer. The Swedish telecommunications giant Ericsson http://www.smartcomputing.com/editorial/dictionary/detail.asp?guid=&searchtype=1

44. Traffic Modeling In Call Centers between 1909 and 1917 by the Danish mathematician agner Krarup erlang. erlang s biography and additional traffic modeling bibliography are available at http://www.diagnosticstrategies.com/traffic_modeling.htm

Traffic Modeling and Resource Allocation in Call Centers Introduction Traffic, whether cars, customer lines or telephone calls, share similar characteristics. Traffic may be very busy and move slowly, or stop and wait, or it may be light and experience no delays. Highways, toll booths, telephone lines and bank tellers may be either underutilized, causing costly idle times, or overloaded, generating long delays and providing poor service. Analysts must find the right number of resources - toll booths, bank tellers, support agents and telephone lines - to provide adequate service at reasonable costs. Traffic modeling analyzes traffic patterns and determines the necessary resources to handle that traffic. Traffic modeling originated in the telephone industry, and many of the theories still in use today were developed between 1909 and 1917 by the Danish mathematician Agner Krarup Erlang. Erlang's biography and additional traffic modeling bibliography are available at www.pass.maths.org.uk/issue2/erlang

45. BYTE.com The erlang language, named after Danish mathematician agner erlang, was developed by a team of employees at the giant Swedish communications firm Ericsson, http://www.byte.com/art/9408/sec11/art2.htm

Archives Columns Features Print Archives Special BYTE Digest Michael Abrash's Graphics Programming Black Book 101 Perl Articles About Us How to Access BYTE.com Write to BYTE.com Advertise with BYTE.com Newsletter Free E-mail Newsletter from BYTE.com Jump to... Columns: Advanced Software and Technologies BYTE Media Lab Chaos Manor Conference Reports Features Free Features Gigglebytes Letters to BYTE.com Mr. Computer Language Person New Products Op/Ed Portable Computing Serving with Linux The Upgrade Advisor HOME ABOUT US ARCHIVES CONTACT US ... REGISTER The Erlang Language August 1994 Core Technologies / The Erlang Language The Erlang language, named after Danish mathematician Agner Erlang, was developed by a team of employees at the giant Swedish communications firm Ericsson, where it's used to write huge real-time control programs for telephone exchanges and network switches. Since it's targeted specifically at the communications industry, Erlang eschews many powerful features of Miranda and Concurrent Clean for execution speed, but it nevertheless remains a pure FPL (functional programming language) with no destructive variable assignment. Erlang supports concurrency and has built-in primitives for asynchronous message-passing between processes. The language was originally developed on an interpreter written in Prolog, but the latest version generates C macros for compilation by standard C compilers. Erlan g uses a fairly orthodox FPL syntax with both pattern matching and guards. Here's one possible definition of the factorial function:

46. BYTE.com The erlang language, named after Danish mathematician agner erlang, was developed by a team of employees at the giant Swedish communicati ons firm Ericsson, http://www.byte.com/art/9408/sec11/sec11.htm

Archives Columns Features Print Archives Special BYTE Digest Michael Abrash's Graphics Programming Black Book 101 Perl Articles About Us How to Access BYTE.com Write to BYTE.com Advertise with BYTE.com Newsletter Free E-mail Newsletter from BYTE.com Jump to... Columns: Advanced Software and Technologies BYTE Media Lab Chaos Manor Conference Reports Features Free Features Gigglebytes Letters to BYTE.com Mr. Computer Language Person New Products Op/Ed Portable Computing Serving with Linux The Upgrade Advisor HOME ABOUT US ARCHIVES CONTACT US ... REGISTER August 1994 / Core Technologies August 1994 / Core Technologies Functional Programming Comes of Age A quicksort in the Miranda language Beyond Lisp, some new functional programming languages are starting to emerge after the ongoing research of the eighties - by Dick Pountain The Erlang Language The Erlang language, named after Danish mathematician Agner Erlang, was developed by a team of employees at the giant Swedish communicati ons firm Ericsson, where it's used to write huge real-time control programs for telephone exchanges and network switches. A Different Kind of RISC HP's elegant new implementation of its PA-RISC architecture delivers world-class performance - by Dick Pountain System 7.5: A Step Toward the Future

47. Pipkins - FAQ The erlang B and C formulas, developed in 1917 by the Danish mathematician agner erlang, are based upon the premise that a caller will never abandon a call, http://www.pipkins.com/faqs.asp

Wednesday, August 31, 2005 Home Sitemap Information Print ... Training Frequently Asked Questions 1. How many people can your system schedule and what are the hardware requirements? There is really no definite limit to the number people that can be scheduled other than the requirement for a server machine properly equipped to handle the task (enough RAM, large enough hard disk, etc.). The precise server hardware requirements are computed based on various sizing parameters determined from your call center environment. Refer to our hardware requirements for additional information. We routinely schedule centers with thousands of agents. 2. My company has excessive workforce management demands requiring simultaneous scheduling, forecasting and reporting by numerous people. Can your product handle this environment? Yes! Maxima Advantage includes Multiple Application Server (MAS) functionality which allows distribution of your workload over as many application servers as you need. The overall workload is reduced and the processing time for all distributed operations is minimized. MAS also provides workload automation functionality so you can have the freedom to "submit and forget" your routine workforce management tasks. Refer to our MAS product information page for additional details.

48. Erlang Distribution The distribution resulted from work done by the Danish mathematician agner Krarup erlang (1878 1929) who was a pioneer in the application of statistical http://www.brighton-webs.co.uk/distributions/erlang.asp

Brighton Webs Ltd. BW D-Calc 1.0 Distribution Calculator Home Index Feedback Rate this page Useful OK Indifferent Not OK Useless Erlang Distribution The Erlang distribution is a special case of the gamma distribution where the shape parameter is an integer. It represents the sum of a series of exponential distributions. To be consistent with the documentation, the terms scale and shape have been used, however, the scale is the equivalent of the mean of an exponential distribution and the scale is the number of exponentially distributed events. The distribution resulted from work done by the Danish mathematician Agner Krarup Erlang (1878 - 1929) who was a pioneer in the application of statistical methods to the analysis of telephone networks. The distribution was derived to model the total waiting time associated with a queue of requests on a telephone exchange. Profile Parameters Parameter Description Characteristics Scale Equivalent to the mean of an exponential distribution Shape The number of exponentially distributed events.

49. Agner Krarup Erlang Translate this page Dimensionamento, simulação, workforce, CLT, otimização. Aqui você encontra soluções para sua central de atendimento/ callcenter/ contactcenter. http://www.erlang.com.br/brhistor.asp

Erlang B Erlang C Nível de Serviço Glossário ... Privacidade Histórico Agner Krarup Erlang foi a primeira pessoa a estudar o problema de redes de telefonia. Estudando a troca de ligações de um pequeno vilarejo ele criou uma fórmula, agora conhecida como a fórmula de Erlang, para calcular a fração de ligações que tentavam chamar alguém fora do vilarejo e que tinham que esperar porque todas as linhas estavam em uso. Embora o modelo de Erlang seja simples, a matemática que está por baixo das complexas redes de telefonia de hoje ainda está baseada em seu trabalho. Erlang nasceu em Lonborg, Jutland na Dinamarca. Hans Nielsen Erlang, seu pai, era o professor do vilarejo. Sua mãe, Magdalene Krarup, pertencente a uma família eclesiástica, a qual teve um matemático dinamarquês muito conhecido, Thomas Fincke, entre os seus antepassados. Erlang tinha um irmão, Frederik, dois anos mais velho e duas irmãs mais jovens, Marie e Ingeborg. Agner passou os primeiros anos escolares com seus irmãos no prédio escolar de seu pai. Passava tardes com seu irmão lendo livros, os quais lia de cabeça para baixo pois seu irmão não o deixava sentar-se ao seu lado. Naquele tempo, uma das matérias favoritas de Agner era astronomia e ele gostava de escrever poemas sobre assuntos astronômicos. Quando terminou o primário na escola fez um exame na Universidade de Copenhague e teve sucesso passando com distinção. Ele tinha então só 14 anos e lhe foi concedida uma permissão especial para seu ingresso à universidade.

50. Erlang.com.br Translate this page agner K. erlang Seu trabalho na teoria de tráfego de telefonia o fez ganhar reconhecimento internacional. Dimensionamento Básico http://www.erlang.com.br/

Erlang B Erlang C Nível de Serviço Glossário ... Charges Login: Senha: Novo Usuário Fórum Indique o Erlang.com.br Privacidade ... Agner K. Erlang Seu trabalho na teoria de tráfego de telefonia o fez ganhar reconhecimento internacional. Dimensionamento Básico Seu call center programado para operar pelo menor custo de operação e o melhor nível de serviço possível. Calculadoras Precisa saber quantos atendentes são necessários? Quantos troncos? Use as calculadoras Erlang B e C on-line!!! Dimensionamento Avançado Precisa programar os atendentes? Dificuldades com restrições legais? Problemas como queda na qualidade e nos níveis de serviços. Artigos Leia diversos artigos de especialistas em contact centers. Saiba como otimizar sua central de atendimento. Workforce Conheça o que é a tecnologia de workforce e como ela pode ajudar no seu call center. Fórum de Discussão Agora muito mais prático. Envie suas dúvidas, comentários, sugestões, opiniões etc...!!!

51. JSMF - Studying Complex Systems: 2005 Research Awards In 1917 the Danish mathematician and engineer agner erlang published a landmark manuscript, which had a fundamental impact on today’s telecommunication http://www.jsmf.org/grants/cs/essays/2005/barabasi.htm

Home Grants Studying Complex Systems: 2005 Research Awards Studying Complex Systems: 2005 Research Awards University of Notre Dame, South Bend, Indiana Principal Investigator: Albert L. Barabási, 439,808 over five years. The nature of time in complex systems In 1917 the Danish mathematician and engineer Agner Erlang published a landmark manuscript, which had a fundamental impact on today’s telecommunication industry. The paper addressed an apparently simple question: how many phone lines a company needs to the outside world? Consider an institution with 2000 employees, each with a phone on its desk. If all employees were to call outside at the same time, the institution would need 2000 lines to serve them all. In reality, however, only a small fraction of the employees talk at any given moment. Erlang made the assumption that the chance that we are on the phone in a given moment has a fixed probability, concluding that if everybody talks on average for two minutes with probability 1/30, only 87 lines are sufficient. Today engineers use Erlang’s formula each time they install a new phone system or design a wireless antenna for mobile phones in a neighborhood. time does not flow uniformly in complex systems . It matters when things happen.

52. Erlang Add-in Functions For Excel (B, XB, C & VoIP laid in the early 20th century by a Danish mathematician, agner Krarup erlang. Before computers became a commodity item, planners used erlang tables to http://www.addcalc.com/

Add Erlang functions to Excel. Get all the Erlang B, Extended Erlang B, Erlang C and Voice over IP (VOIP) functions you need in one Add-in. ErlangAdd will change your Excel to the perfect traffic planning tool by adding 28 traffic engineering functions that will enable you to build your traffic planning models using the powerful functionality of Microsoft Excel The two most important factors to consider when designing communication networks or call centers are service levels and cost. ErlangAdd is aimed at assisting engineers and planners to engineer the utilization of resources to achieve an optimum balance between acceptable levels of service and the cost associated with providing that service. The foundation for traffic planning was laid in the early 20th century by a Danish mathematician, Agner Krarup Erlang. Before computers became a commodity item, planners used Erlang tables to determine the parameters for their network designs. During the past decade a number of windows based calculators replaced these tables. In addition to calculating blocking parameters, these calculators also made it easy to calculate the number of resources needed or to determine the traffic volumes given the resources and Grade of Service required (sometimes referred to as reverse lookup). Traffic engineering is however an integral part of Telco and corporate network design and requires integrated cost and engineering models to justify, plan and design convergent communication infrastructures.

53. Erlang, The Mathematician? Hi, just out of curiosity, was erlang named for the Danish mathematician agner Krarup erlang? TIA, Elan. FollowUps. Re erlang, the mathematician? http://www.erlang.org/ml-archive/erlang-questions/199902/msg00000.html

[Date Prev][ Date Next ][Thread Prev][ Thread Next Date Index Thread Index Erlang, the mathematician? To Subject : Erlang, the mathematician? From : Elan Date : Sun, 31 Jan 1999 22:12:29 -0800 Hi, just out of curiosity, was Erlang named for the Danish mathematician Agner Krarup Erlang? TIA, Elan Follow-Ups Re: Erlang, the mathematician? From: Joe Armstrong Re: Erlang, the mathematician? From: Michael C Williams Next by Date: Re: Erlang, the mathematician? Next by thread: Re: Erlang, the mathematician? Index(es): Date Thread

54. Re: Erlang, The Mathematician? /Mike On Sun, 31 Jan 1999, Elan wrote Hi, just out of curiosity, was erlang named for the Danish mathematician agner Krarup erlang? http://www.erlang.org/ml-archive/erlang-questions/199902/msg00002.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index Re: Erlang, the mathematician? To : Elan Subject : Re: Erlang, the mathematician? From : Michael C Williams Date : Mon, 1 Feb 1999 09:53:23 +0100 (MET) cc References Erlang, the mathematician? From: Elan Prev by Date: Re: Erlang, the mathematician? Next by Date: Re: Erlang, the mathematician? Prev by thread: Re: Erlang, the mathematician? Next by thread: Re: Erlang, the mathematician? Index(es): Date Thread

55. HOW TO ACHIEVE OPTIMUM OPERATOR STAFFING By Allan Fromm Danish telephone company mathematician agner erlang, the erlang formulas More specifically, the erlangC formulas are used to estimate the number of http://www.atsi.org/publications/Answer/1997/1997_2.html

MEMBER LOG-IN MEMBER LOG-OUT HOME CONTACT ... SEARCH HOW TO ACHIEVE OPTIMUM OPERATOR STAFFING by Allan Fromm FROM ANSWER MAGAZINE, SPRING 1997 Scheduling the optimum number of operators is a critical ingredient in delivering high-quality telephone answering service. Assuming out-of-pocket labor costs of about $10 an hour, it costs approximately $500 a year to staff one person for one hour, one day of the week. And while over-staffing is costly, under-staffing can result in a loss of both customers and staff. We have always looked upon operator scheduling as an "art," but at least one part of this job is a "science." This article addresses the science of determining requirements of accurately forecasting the number of operators needed to obtain a desired level of service and reviews a system that we have been developing at our office over the past few years. DETERMINING REQUIREMENTS To forecast the number of required operators, we use what are known as the Erlang formulas. Developed around 1900 by the Danish telephone company mathematician Agner Erlang, the Erlang formulas help predict the number of telephone operators and trunks required to provide a specific level of service at a given traffic load. More specifically, the Erlang-C formulas are used to estimate the number of required operators, while the Erlang-B formulas are used to estimate the number of required trunks. Some TAS systems, such as Amtelco's, have the ability to report the basic information needed to use the Erlang-C formulas: a) the number of calls handled every 15 minutes, b) the average number of "manned" positions, and c) the average total duration of calls.

56. Comp 346 Spring 2005 Dordal Trunk Line Usage Simulation Due Fri The unit is named for for the Danish telephone scientist agner Krarup erlang (1878 1929); a traffic rate of 80 calls at a time would be said to be 80 http://www.cs.luc.edu/pld/courses/346/spr05/erlang.text

ctime is >= k. For model 1, we can simplify this by starting with j=i-1 and counting down until we find the first j with endtimes[j]

57. 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 http://plus.maths.org/issue2/dar/

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 Call routing in telephone networks by Richard Gibbens and Stephen Turner Nowadays we take it for granted that someone in England can make a phone call to Australia, or that someone in India can read web pages that are on a computer in Canada. We live in a society in which almost every home has its own telephone line which is connected to a local exchange in the nearest village or town, from there to a main exchange in the nearest city, and from there to any other city in any country in the world. In this way, a person is able to dial a friend in another country just as easily as if they were in the same street. Inside BT's Worldwide Network Management Centre at Oswestry.

58. Science And Society Picture Library - Search agner Krarup erlang, Danish mathematician, (18781929). Etching of erlang (1878-1929), pioneer in the study of telecommunications traffic. http://www.scienceandsociety.co.uk/results.asp?image=10400534

59. Science And Society Picture Library - Search BSNL Portal Knowledge BaseDeveloped by Danish Mathematician agner Krarup erlang, the traffic modeling It was agner Krarup erlang (1878 1929) who realized that Mathematics could http://www.scienceandsociety.co.uk/results.asp?x9=ERLANG, AGNER KRARUP

60. BSNL Portal || Telecom Guide agner Krarup erlang was born in 1878 in Lønborg, Denmark. He was a pioneer in the study of telecommunications traffic and, through his studies, http://www.bsnl.in/Telecomguide.asp?intNewsId=18723&strNewsMore=more

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