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.
The processes were first characterised by Asmussen and Bladt and are referred to as rational arrival processes because the inter-arrival times have a rational
Laplace–Stieltjes transform.
Software
Q-MAMa
MATLAB
MATLAB (an abbreviation of "MATrix LABoratory") is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks. MATLAB allows matrix manipulations, plotting of functions and data, implementation ...
toolbox which can solve queueing systems with RAP arrivals.
References
Queueing theory
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