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A data-integrated simulation model to evaluate nurse–patient assignments

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Abstract

This research develops a novel data-integrated simulation to evaluate nurse–patient assignments (SIMNA) based on a real data set provided by a northeast Texas hospital. Tree-based models and kernel density estimation (KDE) were utilized to extract important knowledge from the data for the simulation. Classification and Regression Tree models, data mining tools for prediction and classification, were used to develop five tree structures: (a) four classification trees from which transition probabilities for nurse movements are determined, and (b) a regression tree from which the amount of time a nurse spends in a location is predicted based on factors such as the primary diagnosis of a patient and the type of nurse. Kernel density estimation is used to estimate the continuous distribution for the amount of time a nurse spends in a location. Results obtained from SIMNA to evaluate nurse–patient assignments in Medical/Surgical unit I of the northeast Texas hospital are discussed.

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References

  1. Aickelin U, Dowsland KA (2003) An indirect genetic algorithm for a nurse scheduling problem. Comput Oper Res 31(5):761–778

    Article  Google Scholar 

  2. Aiken LH, Clarke S, Sloane D, Sochalski J, Silber J (2002) Hospital nurse staffing and patient mortality, nurse burnout, and job dissatisfaction. JAMA 288:1987–1993

    Article  Google Scholar 

  3. AONE (2003) Policy statement on mandated staffing ratios. http://www.aone.org/aone/docs/ps_ratios.pdf. Accessed September 2007

  4. Atlason J, Epelman MA, Henderson SG (2004) Call center staffing with simulation and cutting plane methods. Ann Oper Res 127:333–358

    Article  Google Scholar 

  5. Azaiez MN, Sharif SSA (2005) A 0-1 goal programming model for nurse scheduling. Comput Oper Res 32:491–507

    Article  Google Scholar 

  6. Bard J, Purnomo HW (2005) Preference scheduling for nurses using column generation. Eur J Oper Res 164:510–534

    Article  Google Scholar 

  7. Beddoe GR, Petrovic S (2006) Selecting and weighting features using a genetic algorithm in a case-based reasoning approach to personnel rostering. Eur J Oper Res, 175:649–671

    Article  Google Scholar 

  8. Bettonvil B, Kleijnen JPC (1997) Searching for important factors in simulation models with many factors: sequential bifurcation. Eur J Oper Res 96:180–194

    Article  Google Scholar 

  9. Breiman L, Friedman, JH, Oishen RA, Stone CJ (1984) Classification and regression trees. Wadsworth, Belmont, California

    Google Scholar 

  10. Burke EK, Cowling P, Caumaecker PD (2001) A memetic approach to the nurse rostering problem. Appl Intell 15:199–214, special issue on Simulated Evolution and Learning

    Article  Google Scholar 

  11. CDHS (2005) Nurse-to-patient staffing ratio regulations. http://www.dhs.ca.gov/lnc/NTP/default.htm. Accessed January 2006

  12. Ceglowski A, Churilov L (2008) Using self organising feature maps to unravel process complexity in a hospital emergency department: a decision support perspective. Intelligent decision making: an AI-based approach, Springer Berlin, Heidelberg, pp 365–385

  13. Ceglowski A, Churilov L, Wassertheil J (2005) Knowledge discovery through mining emergency department data. In: Proceedings of the 38th annual Hawaii international conference on system sciences, Hawaii, USA

  14. Cheng RCH (1997) Searching for important factors: sequential bifurcation under uncertainty. In: Proceeding of the 1997 winter simulation conference, Piscataway, New Jersey, USA

    Google Scholar 

  15. Dumas MB (1985) Hospital bed utilization: an implemented simulation approach for adjusting and maintaining appropriate levels. Health Serv Res 20:43–61

    Google Scholar 

  16. Epanechnikov VA (1969) Nonparametric estimation of a multivariate probabilty density. Theory Probab Appl 14:153–158

    Article  Google Scholar 

  17. Evans, GW, Gor TB, Unger E (1996) A simulation model for evaluating personnel schedules in a hospital emergency department. In: Proceedings of the 1996 winter simulation conference, Coronado, California, USA

  18. Foster LS, Foster WD (2003) C by discovery. Galgotia, Daryaganj, New Delhi

  19. Fu MC, Hu JQ (1997) Conditional Monte Carlo: gradient estimation and optimization applications. Kluwer, Norwell, Massachusetts

    Google Scholar 

  20. Gutjahr WJ, Rauner MS (2007) An aco algorithm for a dynamic regional nurse-scheduling problem in Austria. Comput Oper Res 34:642–666

    Article  Google Scholar 

  21. Hastie T, Tibshirani R, Friedman JH (2001) The elements of statistical learning: data mining, inference, and prediction. Springer, New York

    Google Scholar 

  22. HIMSS (2006) Himss position statement. http://www.himss.org/content/files/PositionStatements/AdvancedPositionOnMandatedNurseRatio.pdf. Accessed September 2007

  23. HRSA (2002) Projected supply, demand, and shortages of registered nurses: 2000–2020. ftp://ftp.hrsa.gov/bhpr/nationalcenter/rnproject.pdf. Accessed January 2006

  24. INGENIX (2003) ICD-9-CM professional for hospitals: volumes 1, 2 & 3. St. Anthony Publishing/Medicode, Salt Lake City, UT

    Google Scholar 

  25. Jaumard B, Semet F, Vovor T (1998) A generalized linear programming model for nurse scheduling. Eur J Oper Res 107(1):1–18

    Article  Google Scholar 

  26. Jones MC, Marron JS, Sheather SJ (1996) A brief survey of bandwidth selection for density estimation. J Am Stat Assoc 91(433):401–407

    Article  Google Scholar 

  27. Jun JB, Jacbson SH, Swisher JR (1999) Application of discrete event simulation in health care clinics: a survey. J Am Stat Assoc 50(2):109–123

    Google Scholar 

  28. Kim SC, Horowitz I, Young KK, Buckley TA (2000) Flexible bed allocation and performance in the intensive care unit. J Oper Manag 18(4):365–385

    Google Scholar 

  29. Kirkby MP (1997) Moving to computerized schedules: a smooth transition. Nurs Manage 28:42–44

    Google Scholar 

  30. Klein RW, Dittus RS, Roberts SD, Wilson JR (1993) Simulation modeling and health-care decision making. Med Decis Mak 13(4):347–354

    Article  Google Scholar 

  31. Kreke J, Schaefer AJ, Angus D, Bryce C, Roberts M (2002) Incorporating biology into discrete event simulation models of organ allocation. In: Proceedings of the 2002 winter simulation conference, San Diego, California, USA

  32. Lafore R (2000) Object-oriented programming in Turbo C++. Galgotia, Daryaganj, New Delhi

    Google Scholar 

  33. Law AM, Kelton WD (2001) Simulation modeling and analysis. McGrawHill, New York

    Google Scholar 

  34. Lim T, Uyeno D, Vertinsky I (1975) Hospital admission systems: a simulation approach. Simul Games 6:188–201

    Article  Google Scholar 

  35. Miller HE, Pierskalla WP, Rath GJ (1996) Nurse scheduling using mathematical programming. Oper Res 24(5):857–870

    Article  Google Scholar 

  36. Mullinax C, Lawley M (2002) Assigning patients to nurses in neonatal intensive care. J Oper Res Soc 53:25–35

    Article  Google Scholar 

  37. Punnakitikashem P, Rosenberger JM, Behan DF (2008) Stochastic programming for nurse assignment. Comput Optim Appl 40:321–349

    Article  Google Scholar 

  38. Ramon J, Fierens D, Guiza F, Meyfroidt G, Blockeel H, Bruynooghe M, Berghe VDG (2007) Mining data from intensive care patients. Adv Eng Inf 21:243–256

    Article  Google Scholar 

  39. Sheather SJ (2004) Density estimation. Stat Sci 19(4):588–597

    Article  Google Scholar 

  40. Sheather SJ, Jones MC (1991) A reliable data-based bandwidth selection method for kernel density estimation. J R Stat Soc, Ser B 53(3):683–690

    Google Scholar 

  41. Shechter SM, Bryce C, Alagoz O, Kreke JE, Stahl JE, Schaefer AJ, Angus D, Roberts M (2005) A clinically based discrete event simulation of end-stage liver disease and the organ allocation process. Med Decis Mak 25(2):199–209

    Article  Google Scholar 

  42. Shen H, Wan H (2005) Controlled sequential factorial design for simulation factor screening. In: Proceedings of the 2005 winter simulation conference. Orlando, Florida, USA

    Google Scholar 

  43. SHS (2005) Nurse-to-patient staffing ratio regulations. http://iienet2.org/uploadedFiles/SHS/Resource_Library/Details/positionPaper.pdf. Accessed September 2007

  44. Silverman BW (1978) Choosing window width when estimating a density. Biometrika 65(1):1–11

    Article  Google Scholar 

  45. Silverman BW (1986) Density estimation for statistics and data analysis. Chapman and Hall, London

    Google Scholar 

  46. Smith EA, Warner HR (1971) Simulation of a multiphasic screening procedure for hospital admissions. Simulation 17:57–64

    Article  Google Scholar 

  47. Sundaramoorthi D, Chen VCP, Rosenberger JM, Green DFB (2005) Knowledge discovery and mining for nurse activity and patient data. In: Proceedings of the 2005 IIE annual conference, Atlanta, Georgia, USA

  48. Sundaramoorthi D, Chen VCP, Rosenberger JM, Kim SB, Behan DFB (2006) A data-integrated nurse activity simulation model. In: Proceedings of the 2006 winter simulation conference

  49. Sundaramoorthi D, Chen VCP, Rosenberger JM, Kim SB, Behan DFB (2006) Using classification and regression trees for a nurse activity simulation. In: Proceedings of the 2006 IIE annual conference

  50. Vericourt FD, Jennings OB (2006) Nurse-to-patient ratios in hospital staffing: a queuing perspective. http://faculty.fuqua.duke.edu/%7Efdv1/bio/ratios3.pdf. Accessed July 2006

  51. Warner DM (1976) Scheduling nursing personnel according to nursing preferences: a mathematical approach. Oper Res 24:842–856

    Article  Google Scholar 

  52. Zenios SA, Wein LM, Chertow GM (1999) Evidence-based organ allocation. Am J Med 107(1):52–61

    Article  Google Scholar 

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Acknowledgements

This research was supported by the Robert Wood Johnson Foundation grant number 053963. We thank Terry Clark from the northeast Texas hospital and Patricia G. Turpin from the School of Nursing at The University of Texas at Arlington, for providing us data for this research.

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Correspondence to Durai Sundaramoorthi.

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Sundaramoorthi, D., Chen, V.C.P., Rosenberger, J.M. et al. A data-integrated simulation model to evaluate nurse–patient assignments. Health Care Manag Sci 12, 252–268 (2009). https://doi.org/10.1007/s10729-008-9090-7

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  • DOI: https://doi.org/10.1007/s10729-008-9090-7

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