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Erlang (/ ˈ ɜːr l æ ŋ / UR-lang) is a general-purpose, concurrent, functional high-level programming language, and a garbage-collected runtime system.The term Erlang is used interchangeably with Erlang/OTP, or Open Telecom Platform (OTP), which consists of the Erlang runtime system, several ready-to-use components (OTP) mainly written in Erlang, and a set of design principles for Erlang ...
The Erlang distribution was developed by A. K. Erlang to examine the number of telephone calls that might be made at the same time to the operators of the switching stations. This work on telephone traffic engineering has been expanded to consider waiting times in queueing systems in general.
The generalization to vector time was developed several times, apparently independently, by different authors in the early 1980s. [3] At least 6 papers contain the concept. [ 4 ] The papers canonically cited in reference to vector clocks are Colin Fidge’s and Friedemann Mattern ’s 1988 works, [ 5 ] [ 6 ] as they (independently) established ...
Queueing theory is generally considered a branch of operations research because the results are often used when making business decisions about the resources needed to provide a service. Queueing theory has its origins in research by Agner Krarup Erlang , who created models to describe the system of incoming calls at the Copenhagen Telephone ...
Exponential service time with a random variable Y for the size of the batch of entities serviced at one time. M X /M Y /1 queue: D: Degenerate distribution: A deterministic or fixed service time. M/D/1 queue: E k: Erlang distribution: An Erlang distribution with k as the shape parameter (i.e., sum of k i.i.d. exponential random variables). G ...
For example, if an office has two telephone operators who are both busy all the time, that would represent two erlangs (2 E) of traffic; or a radio channel that is occupied continuously during the period of interest (e.g. one hour) is said to have a load of 1 erlang. When used to describe offered traffic, a value followed by “erlangs ...
In queueing theory, a discipline within the mathematical theory of probability, the M/M/c queue (or Erlang–C model [1]: 495 ) is a multi-server queueing model. [2] In Kendall's notation it describes a system where arrivals form a single queue and are governed by a Poisson process , there are c servers, and job service times are exponentially ...
The phase-type distribution is the time to absorption of a finite state Markov process. If we have a k+1 state process, where the first k states are transient and the state k+1 is an absorbing state, then the distribution of time from the start of the process until the absorbing state is reached is phase-type distributed.