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Reflected Brownian motion
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<p>In <a href="/facts/Probability_theory/mFBn51rE">probability theory</a>, reflected Brownian motion (or regulated Brownian motion, both with the acronym RBM) is a <a href="/facts/Wiener_process/KPh7vYd7">Wiener process</a> in a space with reflecting boundaries. In the <a href="/facts/Physics/a7aH2y08">physical</a> literature, this process describes <a href="/facts/Diffusion/KbAxroBa">diffusion</a> in a confined space and it is often called confined Brownian motion. For example it can describe the motion of hard spheres in water confined between two walls. </p><p>RBMs have been shown to describe <a href="/facts/Queueing_model/8NDl56EM">queueing models</a> experiencing <a href="/facts/Heavy_traffic_approximation/a3QNauD2">heavy traffic</a> as first proposed by <a href="/facts/John_Kingman/fh6KUPkC">Kingman</a> and proven by Iglehart and <a href="/facts/Ward_Whitt/pHujNfB4">Whitt</a>. </p>