Generating Random Variables that follow the Beta Distribution Using the Neutrosophic Acceptance-Rejection Method

Abstract

Analysis using simulation is a natural and logical extension of the analytical and
mathematical models inherent in operations research. Simulation has become a modern tool
that helps in studying many systems that we could not study or predict the results that we
could obtain during the operation of these systems over time before the existence of
Simulation, since the main interest in statistical analysis is to obtain a series of random
variables that follow the probability distribution in which the system under study operates,
through a series of random numbers that follow a uniform distribution over the domain [0,
1], using scientific methods provided by the efforts of researchers. In the field of modeling
and simulation, such as the reverse transformation method, the rejection and acceptance
method, and other methods that we have reformulated using the concepts of neutrosophic
science in previous research. In summary of what we have done previously, we present in
this research a study whose purpose is to generate random variables that follow the beta
distribution, which is used in many applications. In administrative processes, especially in
analyzing network diagrams using the neutrosophic rejection and acceptance method.