Skip to main content

A Local Search Algorithm for the Assignment and Work Balance of a Health Unit

  • Conference paper
  • First Online:
Service Oriented, Holonic and Multi-Agent Manufacturing Systems for Industry of the Future (SOHOMA 2021)

Abstract

In any healthcare service, guidelines regarding the number of staff and how to respond to patient demand must be followed. In Chile, to ensure there is 24/7 care, coordinators use a manual allocation model system called “The Fourth Shift” (TFS) to assign staff. The model has a four-day shift pattern which allocates 48 h of work and 48 h of rest. However, scheduling healthcare workers is always a challenge, as there are administrative, legal and individual constraints. A balanced shift assignment, meaning one that considers work hours and specific staff requests, has a significant impact on an overall work environment. To find a fair balance, this paper proposes a two-phase heuristic. The first is a constructive phase and the second is a local search phase. This paper simultaneously incorporates six Key Performance Indicators (KPIs) and chance events aiming at leveling the workload for healthcare workers. The heuristics are validated with one-month shifts for a healthcare service with 12 nurses. The results validate the effectiveness of the proposed approach by disrupting the solution with five cumulative scenarios.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Adamuthe, A.C., Bichkar, R.S.: Tabu search for solving personnel scheduling problem. In: 2012 International Conference on Communication, Information Computing Technology (ICCICT), pp. 1–6 (2012). https://doi.org/10.1109/ICCICT.2012.6398097

  2. Awadallah, M.A., Bolaji, A.L.A., Al-Betar, M.A.: A hybrid artificial bee colony for a nurse rostering problem. Appl. Soft Comput. J. 35, 726–739 (2015). https://doi.org/10.1016/j.asoc.2015.07.004

    Article  Google Scholar 

  3. Azaiez, M.N., Al Sharif, S.S.: A 0-1 goal programming model for nurse scheduling. Comput. Oper. Res. 32(3), 491–507 (2005). https://doi.org/10.1016/S0305-0548(03)00249-1

    Article  MathSciNet  MATH  Google Scholar 

  4. Blöchliger, I.: Modeling staff scheduling problems. A tutorial. Eur. J. Oper. Res. 158(3), 533–542 (2004). https://doi.org/10.1016/S0377-2217(03)00387-4

    Article  MathSciNet  MATH  Google Scholar 

  5. Burke, E.K., De Causmaecker, P., Berghe, G.V., Van Landeghem, H.: The state of the art of nurse rostering. J. Sched. 7(6), 441–499 (2004). https://doi.org/10.1023/B:JOSH.0000046076.75950.0b

    Article  MathSciNet  MATH  Google Scholar 

  6. Cheang, B., Li, H., Lim, A., Rodrigues, B.: Nurse rostering problems - a bibliographic survey. Eur. J. Oper. Res. 151(3), 447–460 (2003). https://doi.org/10.1016/S0377-2217(03)00021-3

    Article  MathSciNet  MATH  Google Scholar 

  7. Chen, P.S., Zeng, Z.Y.: Developing two heuristic algorithms with metaheuristic algorithms to improve solutions of optimization problems with soft and hard constraints: an application to nurse rostering problems. Appl. Soft Comput. 93, 106336 (2020). https://doi.org/10.1016/j.asoc.2020.106336

    Article  Google Scholar 

  8. Cornell, P., et al.: Transforming nursing workflow, Part 1: the chaotic nature of nurse activities. J. Nurs. Adm. 40(9), 366–373 (2010). https://doi.org/10.1097/NNA.0b013e3181ee4261

    Article  Google Scholar 

  9. De Causmaecker, P., Vanden Berghe, G.: A categorisation of nurse rostering problems. J. Sched. 14(1), 3–16 (2011). https://doi.org/10.1007/s10951-010-0211-z

    Article  Google Scholar 

  10. Del-Fierro-Gonzáles, V., Mix-Vidal, A.: Orientaciones Técnicas para el Rediseño al Proceso de Atención de Urgencia de Adulto, en las Unidades de Emergencia Hospitalaria. Technical report, Ministerio de Salud, Chile (2018). https://iopscience.iop.org/article/10.1088/1757-899X/844/1/012044

  11. El Adoly, A.A., Gheith, M., Nashat Fors, M.: A new formulation and solution for the nurse scheduling problem: a case study in Egypt. Alex. Eng. J. 57(4), 2289–2298 (2018). https://doi.org/10.1016/j.aej.2017.09.007

    Article  Google Scholar 

  12. Hadwan, M., Ayob, M.: A constructive shift patterns approach with simulated annealing for nurse rostering problem. In: Proceedings 2010 International Symposium on Information Technology - Visual Informatics, ITSim 2010, vol. 1 (2010). https://doi.org/10.1109/ITSIM.2010.5561304

  13. Jamieson, I., Kirk, R., Andrew, C.: Work-life balance: what generation Y nurses want. Nurse Leader 11(3), 36–39 (2013). https://doi.org/10.1016/j.mnl.2013.01.010. http://www.nurseleader.com/article/S154146121300030X/fulltext. http://www.nurseleader.com/article/S154146121300030X/abstract. https://www.nurseleader.com/article/S1541-4612(13)00030-X/abstract

  14. Jaradat, G.M., et al.: Hybrid elitist-ant system for nurse-rostering problem. J. King Saud Univ. Comput. Inf. Sci. 31(3), 378–384 (2019). https://doi.org/10.1016/j.jksuci.2018.02.009

    Article  MathSciNet  Google Scholar 

  15. Jaumard, B., Semet, F., Vovor, T.: A generalized linear programming model for nurse scheduling. Eur. J. Oper. Res. 107(1), 1–18 (1998). https://doi.org/10.1016/S0377-2217(97)00330-5

    Article  MATH  Google Scholar 

  16. Legrain, A., Bouarab, H., Lahrichi, N.: The nurse scheduling problem in real-life. J. Med. Syst. 39(1), 1–11 (2014). https://doi.org/10.1007/s10916-014-0160-8

    Article  Google Scholar 

  17. Legrain, A., Omer, J., Rosat, S.: An online stochastic algorithm for a dynamic nurse scheduling problem. Eur. J. Oper. Res. 285(1), 196–210 (2020). https://doi.org/10.1016/j.ejor.2018.09.027

    Article  MathSciNet  MATH  Google Scholar 

  18. Lewis, S., Gambles, R., Rapoport, R.: The constraints of a “work-life balance’’ approach: an international perspective. Int. J. Hum. Resour. Manag. 18(3), 360–373 (2007). https://doi.org/10.1080/09585190601165577

    Article  Google Scholar 

  19. Liu, Z., Liu, Z., Zhu, Z., Shen, Y., Dong, J.: Simulated annealing for a multi-level nurse rostering problem in hemodialysis service. Appl. Soft Comput. 64, 148–160 (2018). https://doi.org/10.1016/j.asoc.2017.12.005

    Article  Google Scholar 

  20. Melita Rodríguez, A., Cruz Pedreros, M., Merino, J.M.: Burnout in nursing professionals working in health centers at the eighth region, of Chile. Ciencia y Enfermeria 14(2), 75–85 (2008). https://doi.org/10.4067/S0717-95532008000200010

    Article  Google Scholar 

  21. de Hacienda, M.: Fija Texto Refundido, Coordinado Y Sistematizado De La Ley No 18.834, Sobre Estatuto Administrativo (2005). https://www.leychile.cl/N?i=236392&f=2018-06-05&p=

  22. Osores, F., Cabrera, G., Linfati, R., Umaña-Ibañez, S., Coronado-Henández, J., Gatica, G.: Design of an information system for optimizing the programming of nursing work shifts. IOP Conf. Ser. Mater. Sci. Eng. 844, 012044 (2020). https://doi.org/10.1088/1757-899x/844/1/012044

  23. Ozkarahan, I.: A flexible nurse scheduling support system. Comput. Methods Programs Biomed. 30(2–3), 145–153 (1989). https://doi.org/10.1016/0169-2607(89)90066-7

    Article  Google Scholar 

  24. Pizarro, R., Rivera, G., Soto, R., Crawford, B., Castro, C., Monfroy, E.: Constraint-based nurse rostering for the Valparaíso Clinic Center in Chile. In: Communications in Computer and Information Science, CCIS, vol. 174, pp. 448–452 (2011). https://doi.org/10.1007/978-3-642-22095-1_90

  25. Pryce, J., Albertsen, K., Nielsen, K.: Evaluation of an open-rota system in a Danish psychiatric hospital: a mechanism for improving job satisfaction and work-life balance. J. Nurs. Manag. 14(4), 282–288 (2006). https://doi.org/10.1111/j.1365-2934.2006.00617.x

    Article  Google Scholar 

  26. Rogers, A.E., Hwang, W.T., Scott, L.D., Aiken, L.H., Dinges, D.F.: The working hours of hospital staff nurses and patient safety. Health Aff. 23(4), 202–212 (2004). https://doi.org/10.1377/hlthaff.23.4.202

    Article  Google Scholar 

  27. Santos, H.G., Toffolo, T.A.M., Gomes, R.A.M., Ribas, S.: Integer programming techniques for the nurse rostering problem. Ann. Oper. Res. 239(1), 225–251 (2014). https://doi.org/10.1007/s10479-014-1594-6

    Article  MathSciNet  MATH  Google Scholar 

  28. Stølevik, M., Nordlander, T.E., Riise, A., Frøyseth, H.: A hybrid approach for solving real-world nurse rostering problems. In: Lee, J. (ed.) CP 2011. LNCS, vol. 6876, pp. 85–99. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-23786-7_9

    Chapter  Google Scholar 

  29. Tanaka, S., Maruyama, Y., Ooshima, S., Ito, H.: Working condition of nurses in Japan: awareness of work-life balance among nursing personnel at a university hospital. J. Clin. Nurs. 20(1–2), 12–22 (2011). https://doi.org/10.1111/j.1365-2702.2010.03354.x

    Article  Google Scholar 

  30. Trapp, U.A., Larrain, S.A.I., Santis, E.M.J., Olbrich, G.S.: Causas de abandono de la práctica clínica hospitalaria de enfermería. Ciencia y enfermería 22, 39–50 (2016). https://doi.org/10.4067/S0717-95532016000200004

    Article  Google Scholar 

  31. Turchi, V., et al.: Night work and quality of life. A study on the health of nurses. Ann. Ist. Super. Sanita. 55(2), 161–169 (2019)

    Google Scholar 

  32. Turhan, A.M., Bilgen, B.: A hybrid fix-and-optimize and simulated annealing approaches for nurse rostering problem. Comput. Ind. Eng. 145, 106531 (2020). https://doi.org/10.1016/j.cie.2020.106531

    Article  Google Scholar 

  33. Valouxis, C., Gogos, C., Goulas, G., Alefragis, P., Housos, E.: A systematic two phase approach for the nurse rostering problem. Eur. J. Oper. Res. 219(2), 425–433 (2012). https://doi.org/10.1016/j.ejor.2011.12.042

    Article  MathSciNet  MATH  Google Scholar 

  34. Van der Heijden, B.I.J.M., Houkes, I., Van den Broeck, A., Czabanowska, K.: “I just can’t take it anymore”: how specific work characteristics impact younger versus older nurses’ health, satisfaction, and commitment. Front. Psychol. 11 (2020). https://doi.org/10.3389/fpsyg.2020.00762

  35. White, S.A., Miers, D.: BPMN Guía de Referencia y Modelado. Future Strategies Inc (2010)

    Google Scholar 

  36. Wu, T.H., Yeh, J.Y., Lee, Y.M.: A particle swarm optimization approach with refinement procedure for nurse rostering problem. Comput. Oper. Res. 54, 52–63 (2015). https://doi.org/10.1016/j.cor.2014.08.016

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daniel Morillo-Torres .

Editor information

Editors and Affiliations

Appendix

Appendix

Figures 8 and 9 show the nurse rostering found for the month studied taking into account the 5 events described in Sect. 5, highlighting the shifts worked (yellow).

Fig. 8.
figure 8

Shift assignment for the first and second week.

Fig. 9.
figure 9

Shift assignment for the third and fourth week.

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Díaz-Escobar, N., Rodríguez, P., Semblantes, V., Taylor, R., Morillo-Torres, D., Gatica, G. (2021). A Local Search Algorithm for the Assignment and Work Balance of a Health Unit. In: Trentesaux, D., Borangiu, T., Leitão, P., Jimenez, JF., Montoya-Torres, J.R. (eds) Service Oriented, Holonic and Multi-Agent Manufacturing Systems for Industry of the Future. SOHOMA 2021. Studies in Computational Intelligence, vol 987. Springer, Cham. https://doi.org/10.1007/978-3-030-80906-5_14

Download citation

Publish with us

Policies and ethics