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2. Queueing theory - Wikipedia

   en.wikipedia.org/wiki/Queueing_theory

   Queueing theory is the mathematical study of waiting lines, or queues. [1] A queueing model is constructed so that queue lengths and waiting time can be predicted. [ 1 ] 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 ...

3. Agner Krarup Erlang - Wikipedia

   en.wikipedia.org/wiki/Agner_Krarup_Erlang

   Agner Krarup Erlang (1 January 1878 – 3 February 1929) was a Danish mathematician, statistician and engineer, who invented the fields of traffic engineering [2] [3] and queueing theory. [3] Erlang's 1909 paper, and subsequent papers over the decades, are regarded as containing some of most important concepts and techniques for queueing theory ...

4. G/G/1 queue - Wikipedia

   en.wikipedia.org/wiki/G/G/1_queue

   In queueing theory, a discipline within the mathematical theory of probability, the G/G/1 queue represents the queue length in a system with a single server where interarrival times have a general (meaning arbitrary) distribution and service times have a (different) general distribution. [1]

5. Kendall's notation - Wikipedia

   en.wikipedia.org/wiki/Kendall's_notation

   Waiting queue at Ottawa station.. In queueing theory, a discipline within the mathematical theory of probability, Kendall's notation (or sometimes Kendall notation) is the standard system used to describe and classify a queueing node.

6. M/D/1 queue - Wikipedia

   en.wikipedia.org/wiki/M/D/1_queue

   The busy period is the time period measured from the instant a first customer arrives at an empty queue to the time when the queue is again empty. This time period is equal to D times the number of customers served. If ρ < 1, then the number of customers served during a busy period of the queue has a Borel distribution with parameter ρ. [7] [8]

7. Teletraffic engineering - Wikipedia

   en.wikipedia.org/wiki/Teletraffic_engineering

   Teletraffic engineering, or telecommunications traffic engineering is the application of transportation traffic engineering theory to telecommunications.Teletraffic engineers use their knowledge of statistics including queuing theory, the nature of traffic, their practical models, their measurements and simulations to make predictions and to plan telecommunication networks such as a telephone ...

8. M/M/c queue - Wikipedia

   en.wikipedia.org/wiki/M/M/c_queue

   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 distributed. [3]

9. Birth–death process - Wikipedia

   en.wikipedia.org/wiki/Birth–death_process

   In queueing theory the birth–death process is the most fundamental example of a queueing model, the M/M/C/K/ /FIFO (in complete Kendall's notation) queue. This is a queue with Poisson arrivals, drawn from an infinite population, and C servers with exponentially distributed service times with K places in the queue. Despite the assumption of an ...