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

Probability 2015-08-24 v1

Abstract

This note details the development of a discrete-time diffusion process to approximate the midnight customer count process in a Mper/Geo2timeScale/NM_\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.

Keywords

Cite

@article{arxiv.1508.05148,
  title  = {Technical Note for Discrete-Time Diffusion Approximations Motivated from Hospital Inpatient Flow Management},
  author = {J. G. Dai and Pengyi Shi},
  journal= {arXiv preprint arXiv:1508.05148},
  year   = {2015}
}

Comments

15 pages

R2 v1 2026-06-22T10:38:29.615Z