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  2. M/D/1 queue - Wikipedia

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

    M/D/1 queue. In queueing theory, a discipline within the mathematical theory of probability, an M/D/1 queue represents the queue length in a system having a single server, where arrivals are determined by a Poisson process and job service times are fixed (deterministic). The model name is written in Kendall's notation. [ 1]

  3. Queueing theory - Wikipedia

    en.wikipedia.org/wiki/Queueing_theory

    Queueing theory is one of the major areas of study in the discipline of management science. Through management science, businesses are able to solve a variety of problems using different scientific and mathematical approaches. Queueing analysis is the probabilistic analysis of waiting lines, and thus the results, also referred to as the ...

  4. Pollaczek–Khinchine formula - Wikipedia

    en.wikipedia.org/wiki/Pollaczek–Khinchine_formula

    The term is also used to refer to the relationships between the mean queue length and mean waiting/service time in such a model. [ 1] The formula was first published by Felix Pollaczek in 1930 [ 2] and recast in probabilistic terms by Aleksandr Khinchin [ 3] two years later. [ 4][ 5] In ruin theory the formula can be used to compute the ...

  5. G/M/1 queue - Wikipedia

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

    G/M/1 queue. In queueing theory, a discipline within the mathematical theory of probability, the G/M/1 queue represents the queue length in a system where interarrival times have a general (meaning arbitrary) distribution and service times for each job have an exponential distribution. [1] The system is described in Kendall's notation where the ...

  6. M/M/1 queue - Wikipedia

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

    M/M/1 queue. In queueing theory, a discipline within the mathematical theory of probability, an M/M/1 queue represents the queue length in a system having a single server, where arrivals are determined by a Poisson process and job service times have an exponential distribution. The model name is written in Kendall's notation.

  7. Kendall's notation - Wikipedia

    en.wikipedia.org/wiki/Kendall's_notation

    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. D. G. Kendall proposed describing queueing models using three factors written A/S/ c in 1953 [ 1] where A denotes the time between arrivals to ...

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