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NURSE SCHEDULING AND RESCHEDULING UNDER UNCERTAINTY

Year 2020, Volume: 38 Issue: 1, 75 - 95, 31.03.2020
https://doi.org/10.17065/huniibf.483986

Abstract

Nurse planning decisions play a critical role on hospital budgeting, quality of nursing services and job satisfaction of nurses. Nurse planning in a hospital is composed of four main phases: nurse budgeting, nurse scheduling (rostering), nurse rescheduling (staffing) and nurse assignment. In this study, the integrated problem of nurse scheduling and rescheduling under demand uncertainty is considered. The problem is formulated and solved as a two-stage stochastic integer program. The value of the stochastic solution is estimated using realistic problem instances over a monthly planning horizon generated based on the data provided by a private healthcare provider in Ankara, Turkey. The computational results show that the value of the stochastic solution can be more than 9% in some problem instances, and hence healthcare providers can benefit from using models that capture uncertainty rather than deterministic models.

References

  • Atmaca, E., Pehlivan, C., Aydoğdu, C.B., Yakıcı, M. 2012. “Hemşire Çizelgeleme Problemi ve Uygulaması”, Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Vol. 28, No. 4, p. 351-358.
  • Bard J.F., Purnomo, H.W. 2004. “Real-time scheduling for nurses in response to demand fluctuations and personnel shortages”, Proceedings of the 5th International Conference on the Practice and Theory of Automated Timetabling, p. 67–87, Pittsburgh, PA.
  • Belien, J., Demeulemeester, E. 2008. “A Branch and Price Approach for Integrating Nurse and Surgery Scheduling”, European Journal of Operational Research, Vol. 189, 652-668.
  • Birge, J.R., Louveaux, F. 1997. Introduction to Stochastic Programming. Springer, USA.Burke, E.K., De Causmaecker, P., Berghe, G.V., Van Landeghem, H. 2004. “The State of the Art of Nurse Rostering”, Journal of Scheduling, Vol. 7, p. 441–499.
  • Cheang, B., Lim, B., Rodrigues, B. 2003. “Nurse Rostering Problems – A Bibliographic Survey”, European Journal of Operational Research, Vol. 151, p.447-460.
  • Dantzig, G.B. 1955. “Linear Programming Under Uncertainty”, Management Science, Vol. 1, p. 197-206.Ernst, A.T., Jiang, H. and Krishnamoorthy, M., Sier, D. 2004. “Staff Scheduling and Rostering: A Review of Applications”, Methods and Models. European Journal of Operational Research, Vol. 153, p. 3-27.
  • Glass, C.A., Knight, R.A. 2010. “The Nurse Rostering Problem: A Critical Appraisal of the Problem Structure”, European Journal of Operational Research, Vol. 202, p. 379-389.
  • Kim, K. 2014. “Predictive Modeling and Stochastic Optimization in Healthcare”, PhD Thesis, Field of Industrial Engineering and Management Sciences, Northwestern University.
  • Memiş, S.A. 2012. “Son Dönemdeki Sağlık Harcamalarının Analizi, Değerlendirme Notu”, TEPAV.
  • Mobasher, A., Lim, G., Bard, J.F., Jordan, V. 2011. “Daily Scheduling of Nurses in Operating Suites”, IIE Transactions on Healthcare Systems Engineering, Vol. 1, No. 4, p. 232-246.
  • Punnakitikashem, P. 2007. “Integrated Nurse Staffing and Assignment under Uncertainty”, PhD Thesis, The University of Texas at Arlington, Department of Industrial and Manufacturing Systems Engineering.
  • Punnakitikashem, P., Rosenberger, J.M., Behan, D.B. 2008. “Stochastic programming for nurse assignment.” Computational Optimization and Applications, Vol. 40, p. 321-349.
  • Rachev, S.T., Höchstötter, M., Fabozzi, F.J., Focardi, S.M. 2010. Probability and Statistics for Finance. John Wiley & Sons, Inc., Canada.
  • Tein, L., Ramli, R. 2010. “Recent Advancements of Nurse Scheduling Models and a Potential Path”, 6th IMT-GT Conference on Mathematics, Statistics and Applications (ICMSA), Malaysia.
  • Van Slyke , R.M., Wets, R. 1969. “L-Shaped Linear Programs with Applications to Optimal Control and Stochastic Programming”, SIAM Journal on Applied Mathematics, Vol.

BELİRSİZLİK VARKEN HEMŞİRE ÇİZELGELEME PROBLEMİ

Year 2020, Volume: 38 Issue: 1, 75 - 95, 31.03.2020
https://doi.org/10.17065/huniibf.483986

Abstract

Hemşire planlama, hastane bütçelemesinde, hastalara verilen hizmetin kalitesinde ve hemşirelerin iş memnuniyetinde kilit rol oynar. Bir hastanedeki hemşire planlama süreci temel olarak dört başlıktan oluşur: Bütçeleme, çizelgeleme, çizelgelerin güncellenmesi ve hemşire atama. Bu çalışmada, aylık çizelgelerin oluşturulması ve güncellenmesi problemi talep belirsizliği altında incelenmektedir. Bu entegre problem, iki aşamalı stokastik tamsayılı program olarak modellenmiş ve çözülmüştür. Aylık planlama ufkunu gözeten gerçekçi problem örnekleri kullanılarak gerçekleştirilen sayısal çalışmalarla belirsizliği modellemenin değeri ölçülmüştür. Elde edilen sonuçlar, belirsizliği modellemenin değerinin %9’u geçebileceğini ve bu nedenle stokastik modelleri kullanmanın oluşturulan çizelgelerin performansını önemli ölçüde iyileştirebileceğini göstermektedir.

References

  • Atmaca, E., Pehlivan, C., Aydoğdu, C.B., Yakıcı, M. 2012. “Hemşire Çizelgeleme Problemi ve Uygulaması”, Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Vol. 28, No. 4, p. 351-358.
  • Bard J.F., Purnomo, H.W. 2004. “Real-time scheduling for nurses in response to demand fluctuations and personnel shortages”, Proceedings of the 5th International Conference on the Practice and Theory of Automated Timetabling, p. 67–87, Pittsburgh, PA.
  • Belien, J., Demeulemeester, E. 2008. “A Branch and Price Approach for Integrating Nurse and Surgery Scheduling”, European Journal of Operational Research, Vol. 189, 652-668.
  • Birge, J.R., Louveaux, F. 1997. Introduction to Stochastic Programming. Springer, USA.Burke, E.K., De Causmaecker, P., Berghe, G.V., Van Landeghem, H. 2004. “The State of the Art of Nurse Rostering”, Journal of Scheduling, Vol. 7, p. 441–499.
  • Cheang, B., Lim, B., Rodrigues, B. 2003. “Nurse Rostering Problems – A Bibliographic Survey”, European Journal of Operational Research, Vol. 151, p.447-460.
  • Dantzig, G.B. 1955. “Linear Programming Under Uncertainty”, Management Science, Vol. 1, p. 197-206.Ernst, A.T., Jiang, H. and Krishnamoorthy, M., Sier, D. 2004. “Staff Scheduling and Rostering: A Review of Applications”, Methods and Models. European Journal of Operational Research, Vol. 153, p. 3-27.
  • Glass, C.A., Knight, R.A. 2010. “The Nurse Rostering Problem: A Critical Appraisal of the Problem Structure”, European Journal of Operational Research, Vol. 202, p. 379-389.
  • Kim, K. 2014. “Predictive Modeling and Stochastic Optimization in Healthcare”, PhD Thesis, Field of Industrial Engineering and Management Sciences, Northwestern University.
  • Memiş, S.A. 2012. “Son Dönemdeki Sağlık Harcamalarının Analizi, Değerlendirme Notu”, TEPAV.
  • Mobasher, A., Lim, G., Bard, J.F., Jordan, V. 2011. “Daily Scheduling of Nurses in Operating Suites”, IIE Transactions on Healthcare Systems Engineering, Vol. 1, No. 4, p. 232-246.
  • Punnakitikashem, P. 2007. “Integrated Nurse Staffing and Assignment under Uncertainty”, PhD Thesis, The University of Texas at Arlington, Department of Industrial and Manufacturing Systems Engineering.
  • Punnakitikashem, P., Rosenberger, J.M., Behan, D.B. 2008. “Stochastic programming for nurse assignment.” Computational Optimization and Applications, Vol. 40, p. 321-349.
  • Rachev, S.T., Höchstötter, M., Fabozzi, F.J., Focardi, S.M. 2010. Probability and Statistics for Finance. John Wiley & Sons, Inc., Canada.
  • Tein, L., Ramli, R. 2010. “Recent Advancements of Nurse Scheduling Models and a Potential Path”, 6th IMT-GT Conference on Mathematics, Statistics and Applications (ICMSA), Malaysia.
  • Van Slyke , R.M., Wets, R. 1969. “L-Shaped Linear Programs with Applications to Optimal Control and Stochastic Programming”, SIAM Journal on Applied Mathematics, Vol.
There are 15 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Sakine Batun

Ece Karpuz This is me

Publication Date March 31, 2020
Submission Date November 20, 2018
Published in Issue Year 2020 Volume: 38 Issue: 1

Cite

APA Batun, S., & Karpuz, E. (2020). NURSE SCHEDULING AND RESCHEDULING UNDER UNCERTAINTY. Hacettepe Üniversitesi İktisadi Ve İdari Bilimler Fakültesi Dergisi, 38(1), 75-95. https://doi.org/10.17065/huniibf.483986
AMA Batun S, Karpuz E. NURSE SCHEDULING AND RESCHEDULING UNDER UNCERTAINTY. Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi. March 2020;38(1):75-95. doi:10.17065/huniibf.483986
Chicago Batun, Sakine, and Ece Karpuz. “NURSE SCHEDULING AND RESCHEDULING UNDER UNCERTAINTY”. Hacettepe Üniversitesi İktisadi Ve İdari Bilimler Fakültesi Dergisi 38, no. 1 (March 2020): 75-95. https://doi.org/10.17065/huniibf.483986.
EndNote Batun S, Karpuz E (March 1, 2020) NURSE SCHEDULING AND RESCHEDULING UNDER UNCERTAINTY. Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi 38 1 75–95.
IEEE S. Batun and E. Karpuz, “NURSE SCHEDULING AND RESCHEDULING UNDER UNCERTAINTY”, Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, vol. 38, no. 1, pp. 75–95, 2020, doi: 10.17065/huniibf.483986.
ISNAD Batun, Sakine - Karpuz, Ece. “NURSE SCHEDULING AND RESCHEDULING UNDER UNCERTAINTY”. Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi 38/1 (March 2020), 75-95. https://doi.org/10.17065/huniibf.483986.
JAMA Batun S, Karpuz E. NURSE SCHEDULING AND RESCHEDULING UNDER UNCERTAINTY. Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi. 2020;38:75–95.
MLA Batun, Sakine and Ece Karpuz. “NURSE SCHEDULING AND RESCHEDULING UNDER UNCERTAINTY”. Hacettepe Üniversitesi İktisadi Ve İdari Bilimler Fakültesi Dergisi, vol. 38, no. 1, 2020, pp. 75-95, doi:10.17065/huniibf.483986.
Vancouver Batun S, Karpuz E. NURSE SCHEDULING AND RESCHEDULING UNDER UNCERTAINTY. Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi. 2020;38(1):75-9.

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