Abstract

Empirical studies based on patient flow data are needed to provide more materials to summarize the general pattern of patient distribution models. This study takes Shanghai as an example and tries to demonstrate the inpatient flow distribution model for different levels and specialties of medical institutions. Power, negative exponential, Gaussian, and log-logistic models were used to fit the distributions of inpatients, and a model of inpatient distribution patterns in Shanghai was derived, based on these four models. Then, the adjusted coefficient of determination (R2) and Akaike information criterion (AIC) values were used to assess the model fitting effect. The log-logistic function model has a good simulation effect and the strongest applicability in most hospitals. The estimated value of the distance-decay parameter β in the log-logistic function model is 1.67 for all patients, 1.89 for regional hospital inpatients, 1.40 for tertiary hospital inpatients, 1.64 for traditional Chinese medicine hospital inpatients, and 0.85 for mental hospital inpatients. However, the simulations at the tumor, children’s and maternity hospitals, were not satisfactory. Based on the results of empirical analysis, the four attenuation coefficient models are valid in Shanghai, and the log-logistic model of the inpatient distributions at most hospitals have good simulation effects. However, further in-depth analysis combined with the characteristics of specific specialties is needed to obtain the inpatient model in line with the characteristics of these specialties.

Highlights

  • This article toke Shanghai as an example to analyze the actual distributions of inpatients, used the power function, the negative exponential function, the Gaussian function, and the log-logistic function model to fit the distribution of inpatients, and derived a model of inpatient distributions in Shanghai based on the four models

  • Based on the results of empirical analysis, we believe that the four attenuation coefficient models are valid in the Shanghai empirical study, and the log-logistic function model of the inpatient distributions at most hospitals has a good simulation effect

  • For all the hospitalized patients in Shanghai, the recommended distance attenuation coefficient value based on the log-logistic function model is 1.67

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Summary

Introduction

As one of the largest cities in China and the medical center of eastern China, Shanghai has the highest level of medical technology in China, with relatively abundant medical resources. In Shanghai, medical institutions are divided into three categories: primary medical institutions, regional medical institutions, and tertiary medical institutions. Primary medical institutions mainly provide basic medical services, which are limited to neighboring residents. Regional medical institutions mainly provide outpatient and inpatient services for common and frequently occurring diseases. Tertiary medical institutions mainly provide outpatient and inpatient services for difficult diseases and treat patients, including, but not limited to, Shanghai residents [2]. Especially regional medical institutions and tertiary medical institutions, are public. All public medical institutions can enjoy medical insurance policy. A main problem of the medical service system in Shanghai is that the total amount of medical resources is relatively insufficient and the

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