An Analytics-based Decision Support System for Resource Planning under Heterogeneous Service Demand of Nursing Home Residents

Nursing homes (NHs) are critical healthcare infrastructures for caring frail older adults with 24/7 formal care and personal assistance. Adequate NH resource planning is of great importance to ensure desired quality of care and resident outcomes yet challenging. The challenge lies in the heterogeneous service demand of NH residents, due to the varied individual characteristics, the diverse dwelling duration with multiple competing discharge dispositions, and the diverse service need. Existing healthcare staffing literatures often assumed a homogeneous population of NH residents and neglected the complexity of service demand heterogeneity. This work proposes an analytics-based modeling framework with a userfriendly decision support platform for NH resource planning. The proposed framework characterizes the heterogeneous service demand of NH residents via novel integration of advanced statistical modeling, computer simulation and optimization techniques. We further provide a case study using real data from our industrial collaborator to demonstrate the effectiveness and superior performance of the proposed work. The impacts of service utilization heterogeneity and service need heterogeneity on resource planning decisions are investigated as well. Note to Practitioners This work is motivated by the challenging task of nursing home resource planning under the complex and heterogeneous service demand of nursing home residents. This research work integrates predictive statistical models with computer simulation and optimization techniques to characterize heterogeneous service demand of NH residents at higher modeling fidelity and to facilitate resource planning decision making in response to service demand heterogeneity. The strategies and policies derived from the proposed decision support system are implementable and actionable in current nursing home industry practice. The proposed framework can easily adapt to varied residents census compositions across different nursing facilities or different seasonal periods with minimum adjustment. Moreover, the proposed methodological framework can be extended for resource preparedness and care delivery decisions under extreme event scenarios, such as influenza seasons or pandemic.

[1]  Prattana Punnakitikashem,et al.  A stochastic programming approach for integrated nurse staffing and assignment , 2013 .

[2]  T. McBride,et al.  Predicting Nursing-Home Admission and Length of Stay: A Duration Analysis , 1991, Medical care.

[3]  Inderjit S. Dhillon,et al.  A Divisive Information-Theoretic Feature Clustering Algorithm for Text Classification , 2003, J. Mach. Learn. Res..

[4]  W. C. Benton,et al.  Workforce staffing and scheduling: Hospital nursing specific models , 1992 .

[5]  Catherine Hewitt,et al.  The relationship between nurse staffing and quality of care in nursing homes: a systematic review. , 2011, International journal of nursing studies.

[6]  D. Berlowitz,et al.  Overview of significant changes in the Minimum Data Set for nursing homes version 3.0. , 2012, Journal of the American Medical Directors Association.

[7]  R. Agarwal Fast Algorithms for Mining Association Rules , 1994, VLDB 1994.

[8]  B. Efron,et al.  Stein's Estimation Rule and Its Competitors- An Empirical Bayes Approach , 1973 .

[9]  Erik Demeulemeester,et al.  A Multilevel Integrative Approach to Hospital Case Mix and Capacity Planning , 2012, Comput. Oper. Res..

[10]  RamakrishnanRaghu,et al.  BOAToptimistic decision tree construction , 1999 .

[11]  J. Bowblis Staffing ratios and quality: an analysis of minimum direct care staffing requirements for nursing homes. , 2011, Health services research.

[12]  Sanjay Mehrotra,et al.  A Two-Stage Stochastic Integer Programming Approach to Integrated Staffing and Scheduling with Application to Nurse Management , 2015, Oper. Res..

[13]  Yue Zhang,et al.  A Simulation Optimization Approach to Long-Term Care Capacity Planning , 2012, Oper. Res..

[14]  J. Bard,et al.  Short-Term Nurse Scheduling in Response to Daily Fluctuations in Supply and Demand , 2005, Health care management science.

[15]  M. Stephens Use of the Kolmogorov-Smirnov, Cramer-Von Mises and Related Statistics without Extensive Tables , 1970 .

[16]  R. Bekker,et al.  Care on demand in nursing homes: a queueing theoretic approach , 2016, Health care management science.

[17]  S. Stearns,et al.  The staffing-outcomes relationship in nursing homes. , 2007, Health services research.

[18]  Alexander Shapiro,et al.  The Sample Average Approximation Method for Stochastic Discrete Optimization , 2002, SIAM J. Optim..

[19]  F. Harrell,et al.  Evaluating the yield of medical tests. , 1982, JAMA.

[20]  Christopher E. Johnson,et al.  The influence of nurse staffing levels on quality of care in nursing homes. , 2011, The Gerontologist.

[21]  S. Stearns,et al.  Effects of state minimum staffing standards on nursing home staffing and quality of care. , 2009, Health services research.

[22]  Jianhua Lin,et al.  Divergence measures based on the Shannon entropy , 1991, IEEE Trans. Inf. Theory.

[23]  Linda V. Green,et al.  Identifying Good Nursing Levels: A Queuing Approach , 2011, Oper. Res..

[24]  R. Kane,et al.  Nursing home staffing standards: their relationship to nurse staffing levels. , 2006, The Gerontologist.

[25]  Heather Janiszewski Goodin,et al.  The nursing shortage in the United States of America: an integrative review of the literature. , 2003, Journal of advanced nursing.

[26]  J. Bowblis,et al.  The Impact of Minimum Quality Standard Regulations on Nursing Home Staffing, Quality, and Exit Decisions , 2017 .

[27]  Erhan Kozan,et al.  A multi-criteria approach for hospital capacity analysis , 2016, Eur. J. Oper. Res..

[28]  N. Kong,et al.  Capacity planning for long-term care networks , 2016 .

[29]  Amber Kunkel,et al.  Determining minimum staffing levels during snowstorms using an integrated simulation, regression, and reliability model , 2013, Health care management science.

[30]  D. Grabowski,et al.  Nursing home staffing and quality under the nursing home reform act. , 2004, The gerontologist.

[31]  A. K. Shahani,et al.  Capacity planning for intensive care units , 1998, Eur. J. Oper. Res..