Technical Note for Discrete-Time Diffusion Approximations Motivated from Hospital Inpatient Flow Management

J. G. Dai; Pengyi Shi

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arXiv · 1508.05148

Technical Note for Discrete-Time Diffusion Approximations Motivated from Hospital Inpatient Flow Management

J. G. Dai·Pengyi Shi

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Abstract

This note details the development of a discrete-time diffusion process to approximate the midnight customer count process in a $M_\textrm{per}/\textrm{Geo}_\textrm{2timeScale}/N$ system. We prove a limit theorem that supports this diffusion approximation, and discuss two methods to compute the stationary distribution of this discrete-time diffusion process.

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J. G. Dai, Pengyi Shi. 2015-08-20. Technical Note for Discrete-Time Diffusion Approximations Motivated from Hospital Inpatient Flow Management. https://arxiv.org/abs/1508.05148

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