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Published in: BMC Health Services Research 1/2017

Open Access 01-12-2017 | Research article

Hospital daily outpatient visits forecasting using a combinatorial model based on ARIMA and SES models

Authors: Li Luo, Le Luo, Xinli Zhang, Xiaoli He

Published in: BMC Health Services Research | Issue 1/2017

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Abstract

Background

Accurate forecasting of hospital outpatient visits is beneficial for the reasonable planning and allocation of healthcare resource to meet the medical demands. In terms of the multiple attributes of daily outpatient visits, such as randomness, cyclicity and trend, time series methods, ARIMA, can be a good choice for outpatient visits forecasting. On the other hand, the hospital outpatient visits are also affected by the doctors’ scheduling and the effects are not pure random. Thinking about the impure specialty, this paper presents a new forecasting model that takes cyclicity and the day of the week effect into consideration.

Methods

We formulate a seasonal ARIMA (SARIMA) model on a daily time series and then a single exponential smoothing (SES) model on the day of the week time series, and finally establish a combinatorial model by modifying them. The models are applied to 1 year of daily visits data of urban outpatients in two internal medicine departments of a large hospital in Chengdu, for forecasting the daily outpatient visits about 1 week ahead.

Results

The proposed model is applied to forecast the cross-sectional data for 7 consecutive days of daily outpatient visits over an 8-weeks period based on 43 weeks of observation data during 1 year. The results show that the two single traditional models and the combinatorial model are simplicity of implementation and low computational intensiveness, whilst being appropriate for short-term forecast horizons. Furthermore, the combinatorial model can capture the comprehensive features of the time series data better.

Conclusions

Combinatorial model can achieve better prediction performance than the single model, with lower residuals variance and small mean of residual errors which needs to be optimized deeply on the next research step.
Literature
1.
go back to reference Hadavandi E, Shavandi H, Ghanbari A, Abbasian-Naghneh S. Developing a hybrid artificial intelligence model for outpatient visits forecasting in hospitals. Appl Soft Comput. 2012;12:700–11.CrossRef Hadavandi E, Shavandi H, Ghanbari A, Abbasian-Naghneh S. Developing a hybrid artificial intelligence model for outpatient visits forecasting in hospitals. Appl Soft Comput. 2012;12:700–11.CrossRef
2.
go back to reference Kadri F, Harrou F, Chaabane S, Tahon C. Time series modelling and forecasting of emergency department overcrowding. J Med Syst. 2014;38:107.CrossRefPubMed Kadri F, Harrou F, Chaabane S, Tahon C. Time series modelling and forecasting of emergency department overcrowding. J Med Syst. 2014;38:107.CrossRefPubMed
3.
go back to reference Zhu T, Luo L, Zhang X, Shi Y, Shen W. Time series approaches for forecasting the number of hospital daily discharged inpatients. IEEE J Biomed Health Inf. 2017;21(2):515–26. Zhu T, Luo L, Zhang X, Shi Y, Shen W. Time series approaches for forecasting the number of hospital daily discharged inpatients. IEEE J Biomed Health Inf. 2017;21(2):515–26.
4.
go back to reference Wang Y, Gu J. Hybridization of support vector regression and firefly algorithm for diarrhoeal outpatient visits forecasting. In: IEEE 26th International conference on tools with artificial intelligence; 2014. p. 70–4. Wang Y, Gu J. Hybridization of support vector regression and firefly algorithm for diarrhoeal outpatient visits forecasting. In: IEEE 26th International conference on tools with artificial intelligence; 2014. p. 70–4.
5.
go back to reference Bergs J, Heerinckx P, Verelst S. Knowing what to expect, forecasting monthly emergency department visits: a time-series analysis. Int Emerg Nurs. 2014;22:112–5.CrossRefPubMed Bergs J, Heerinckx P, Verelst S. Knowing what to expect, forecasting monthly emergency department visits: a time-series analysis. Int Emerg Nurs. 2014;22:112–5.CrossRefPubMed
6.
go back to reference Wargon M, Guidet B, Hoang TD, Hejblum G. A systematic review of models for forecasting the number of emergency department visits. Emerg Med J. 2009;26:395–9.CrossRefPubMed Wargon M, Guidet B, Hoang TD, Hejblum G. A systematic review of models for forecasting the number of emergency department visits. Emerg Med J. 2009;26:395–9.CrossRefPubMed
7.
go back to reference Calegari R, Fogliatto FS, Lucini FR, Neyeloff J, Kuchenbecker RS, Schaan BD. Forecasting daily volume and acuity of patients in the emergency department. Comput Math Method Med. 2016;2016:1–8. Calegari R, Fogliatto FS, Lucini FR, Neyeloff J, Kuchenbecker RS, Schaan BD. Forecasting daily volume and acuity of patients in the emergency department. Comput Math Method Med. 2016;2016:1–8.
8.
go back to reference Ekstrom A, Kurland L, Farrokhnia N, Castren M, Nordberg M. Forecasting emergency department visits using internet data. Ann Emerg Med. 2015;65:436–42.CrossRefPubMed Ekstrom A, Kurland L, Farrokhnia N, Castren M, Nordberg M. Forecasting emergency department visits using internet data. Ann Emerg Med. 2015;65:436–42.CrossRefPubMed
9.
go back to reference Li Y, Wu F, Zheng C, Hou K, Wang K, Sun N, et al. Predictive analysis of outpatient visits to a grade 3, class a hospital using ARIMA model. In: Proceedings of the 2014 International symposium on information technology (ISIT 2014). Dalian: CRC Press; 2015. p. 285. Li Y, Wu F, Zheng C, Hou K, Wang K, Sun N, et al. Predictive analysis of outpatient visits to a grade 3, class a hospital using ARIMA model. In: Proceedings of the 2014 International symposium on information technology (ISIT 2014). Dalian: CRC Press; 2015. p. 285.
10.
go back to reference Luo L, Luo L, He X, Zhang X, Shi Y. Effects of distance on health seeking behaviors of outpatients in China’s large hospitals: case of West China hospital of Sichuan university. Int J Clin Exp Med. 2016;9:11923–33. Luo L, Luo L, He X, Zhang X, Shi Y. Effects of distance on health seeking behaviors of outpatients in China’s large hospitals: case of West China hospital of Sichuan university. Int J Clin Exp Med. 2016;9:11923–33.
11.
12.
go back to reference Garg B, Beg MMS, Ansari AQ. A new computational fuzzy time series model to forecast number of outpatient visits. Fuzzy Information Processing Society (NAFIPS). Annual Meeting of the North American. IEEE; 2012. 1-6. Garg B, Beg MMS, Ansari AQ. A new computational fuzzy time series model to forecast number of outpatient visits. Fuzzy Information Processing Society (NAFIPS). Annual Meeting of the North American. IEEE; 2012. 1-6.
13.
go back to reference Di MM, Panzera A, Taylor CC. Non-parametric smoothing and prediction for nonlinear circular time series. J Time Ser Anal. 2012;33:620–30.CrossRef Di MM, Panzera A, Taylor CC. Non-parametric smoothing and prediction for nonlinear circular time series. J Time Ser Anal. 2012;33:620–30.CrossRef
14.
go back to reference Cheng CH, Wang JW, Li CH. Forecasting the number of outpatient visits using a new fuzzy time series based on weighted-transitional matrix. Expert Syst Appl. 2008;34:2568–75.CrossRef Cheng CH, Wang JW, Li CH. Forecasting the number of outpatient visits using a new fuzzy time series based on weighted-transitional matrix. Expert Syst Appl. 2008;34:2568–75.CrossRef
15.
go back to reference Wang Y, Gu J, Zhou Z, Wang Z. Diarrhoea outpatient visits prediction based on time series decomposition and multi-local predictor fusion. Knowl-Based Syst. 2015;88:12–23.CrossRef Wang Y, Gu J, Zhou Z, Wang Z. Diarrhoea outpatient visits prediction based on time series decomposition and multi-local predictor fusion. Knowl-Based Syst. 2015;88:12–23.CrossRef
16.
go back to reference Zhang G, Zhang X, Feng H. Forecasting financial time series using a methodology based on autoregressive integrated moving average and Taylor expansion. Expert Syst. 2016;33:501–16.CrossRef Zhang G, Zhang X, Feng H. Forecasting financial time series using a methodology based on autoregressive integrated moving average and Taylor expansion. Expert Syst. 2016;33:501–16.CrossRef
17.
go back to reference Khashei M, Bijari M, Ardali GAR. Improvement of auto-regressive integrated moving average models using fuzzy logic and artificial neural networks (ANNs). Neurocomputing. 2009;72:956–67.CrossRef Khashei M, Bijari M, Ardali GAR. Improvement of auto-regressive integrated moving average models using fuzzy logic and artificial neural networks (ANNs). Neurocomputing. 2009;72:956–67.CrossRef
18.
go back to reference Petropoulos F, Makridakis S, Assimakopoulos V, Nikolopoulos K. ‘Horses for courses’ in demand forecasting. Eur J Oper Res. 2014;237:152–63.CrossRef Petropoulos F, Makridakis S, Assimakopoulos V, Nikolopoulos K. ‘Horses for courses’ in demand forecasting. Eur J Oper Res. 2014;237:152–63.CrossRef
19.
go back to reference Kadri F, Harrou F, Chaabane S, Tahon C. Time series modeling and forecasting of emergency department overcrowding. J Med Syst. 2014;38:1–20.CrossRef Kadri F, Harrou F, Chaabane S, Tahon C. Time series modeling and forecasting of emergency department overcrowding. J Med Syst. 2014;38:1–20.CrossRef
20.
go back to reference Aboagye SP, Mai Q, Sanfilippo FM, Preen DB, Stewart LM, Fatovich DM. A comparison of multivariate and univariate time series approaches to modelling and forecasting emergency department demand in Western Australia. J Biomed Inform. 2015;57:62–73.CrossRef Aboagye SP, Mai Q, Sanfilippo FM, Preen DB, Stewart LM, Fatovich DM. A comparison of multivariate and univariate time series approaches to modelling and forecasting emergency department demand in Western Australia. J Biomed Inform. 2015;57:62–73.CrossRef
21.
go back to reference Abraham G, Byrnes GB, Bain CA. Short-term forecasting of emergency inpatient flow. IEEE Trans Inform Technol Biomed. 2009;13:380–8.CrossRef Abraham G, Byrnes GB, Bain CA. Short-term forecasting of emergency inpatient flow. IEEE Trans Inform Technol Biomed. 2009;13:380–8.CrossRef
22.
go back to reference Akram M, Bhatti MI, Ashfaq M, Khan AA. New approach to forecasting agro-based statistical models. J Stat Theory Appl. 2016;15:387–99.CrossRef Akram M, Bhatti MI, Ashfaq M, Khan AA. New approach to forecasting agro-based statistical models. J Stat Theory Appl. 2016;15:387–99.CrossRef
23.
go back to reference Jones SS, Thomas A, Evans RS, Welch SJ, Haug PJ, Snow GL. Forecasting daily patient volumes in the emergency department. Acad Emerg Med. 2008;15:159–70.CrossRefPubMed Jones SS, Thomas A, Evans RS, Welch SJ, Haug PJ, Snow GL. Forecasting daily patient volumes in the emergency department. Acad Emerg Med. 2008;15:159–70.CrossRefPubMed
24.
go back to reference Eswaran C, Logeswaran R. A dual hybrid forecasting model for support of decision making in healthcare management. Adv Eng Softw. 2012;53:23–32.CrossRef Eswaran C, Logeswaran R. A dual hybrid forecasting model for support of decision making in healthcare management. Adv Eng Softw. 2012;53:23–32.CrossRef
25.
go back to reference Surowiecki J. The wisdom of crowds. United States: Anchor; 2004. Surowiecki J. The wisdom of crowds. United States: Anchor; 2004.
Metadata
Title
Hospital daily outpatient visits forecasting using a combinatorial model based on ARIMA and SES models
Authors
Li Luo
Le Luo
Xinli Zhang
Xiaoli He
Publication date
01-12-2017
Publisher
BioMed Central
Published in
BMC Health Services Research / Issue 1/2017
Electronic ISSN: 1472-6963
DOI
https://doi.org/10.1186/s12913-017-2407-9

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