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  2. Discrete-event simulation - Wikipedia

    en.wikipedia.org/wiki/Discrete-event_simulation

    A discrete-event simulation (DES) models the operation of a system as a (discrete) sequence of events in time. Each event occurs at a particular instant in time and marks a change of state in the system. [1] Between consecutive events, no change in the system is assumed to occur; thus the simulation time can directly jump to the occurrence time ...

  3. M/M/1 queue - Wikipedia

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

    Service times have an exponential distribution with rate parameter μ in the M/M/1 queue, where 1/μ is the mean service time. All arrival times and services times are (usually) assumed to be independent of one another. [2] A single server serves customers one at a time from the front of the queue, according to a first-come, first-served ...

  4. 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 ...

  5. 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 the ...

  6. Interrupted time series - Wikipedia

    en.wikipedia.org/wiki/Interrupted_time_series

    Interrupted time series analysis (ITS), sometimes known as quasi-experimental time series analysis, is a method of statistical analysis involving tracking a long-term period before and after a point of intervention to assess the intervention's effects. The time series refers to the data over the period, while the interruption is the ...

  7. 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] The evolution of the queue can be described by the ...

  8. G/M/1 queue - Wikipedia

    en.wikipedia.org/wiki/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 G denotes a ...

  9. Rational arrival process - Wikipedia

    en.wikipedia.org/wiki/Rational_arrival_process

    Rational arrival process. In queueing theory, a discipline within the mathematical theory of probability, a rational arrival process (RAP) is a mathematical model for the time between job arrivals to a system. It extends the concept of a Markov arrival process, allowing for dependent matrix-exponential distributed inter-arrival times. [1]