Skip to main content

Daily Scheduling and Routing of Home Health Care with Multiple Availability Periods of Patients

  • Conference paper
  • First Online:
Variable Neighborhood Search (ICVNS 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12010))

Included in the following conference series:

Abstract

The home health care routing and scheduling problem (HHCRSP) is an extension of the vehicle routing problem with time windows (VRPTW). It consists of providing services operations at patients’ homes in case of aging or disabling disease. In this paper, we address the HHCRSP with multiple availability periods of patients, which are considered as soft/flexible time windows. A mathematical model is proposed to define a daily planning by minimizing the total penalized earliness and tardiness of service operations, and caregivers’ total waiting time. Taking into account requested services of patients, qualifications and time windows of caregivers, patients’ preferences expressed as multiple availability periods. The model is implemented and tested using CPLEX IBM. To deal with large instances a general variable neighborhood search (GVNS) based heuristic is proposed, implemented and tested using the language C++. Computational results show that the proposed heuristic could find a good solution in a very short computational time.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. Akjiratikarl, C., Yenradee, P., Drake, P.R.: Pso-based algorithm for home care worker scheduling in the UK. Comput. Ind. Eng. 53(4), 559–583 (2007)

    Article  Google Scholar 

  2. Bard, J.F., Shao, Y., Jarrah, A.I.: A sequential grasp for the therapist routing and scheduling problem. J. Sched. 17(2), 109–133 (2014)

    Article  MathSciNet  Google Scholar 

  3. Belhaiza, S., Hansen, P., Laporte, G.: A hybrid variable neighborhood tabu search heuristic for the vehicle routing problem with multiple time windows. Comput. Oper. Res. 52, 269–281 (2014)

    Article  MathSciNet  Google Scholar 

  4. Bertels, S., Fahle, T.: A hybrid setup for a hybrid scenario: combining heuristics for the home health care problem. Comput. Oper. Res. 33(10), 2866–2890 (2006)

    Article  Google Scholar 

  5. Bräysy, O., Gendreau, M.: Vehicle routing problem with time windows, Part I: route construction and local search algorithms. Transp. Sci. 39(1), 104–118 (2005)

    Article  Google Scholar 

  6. 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)

    Article  MathSciNet  Google Scholar 

  7. Cissé, M., Yalçındağ, S., Kergosien, Y., Şahin, E., Lenté, C., Matta, A.: Or problems related to home health care: a review of relevant routing and scheduling problems. Oper. Res. Health Care 13, 1–22 (2017)

    Google Scholar 

  8. Decerle, J., Grunder, O., El Hassani, A.H., Barakat, O.: A memetic algorithm for a home health care routing and scheduling problem. Oper. Res. Health Care 16, 59–71 (2018)

    Article  Google Scholar 

  9. Di Mascolo, M., Espinouse, M.L., El Hajri, Z.: Planning in home health care structures: a literature review. IFAC-PapersOnLine 50(1), 4654–4659 (2017)

    Article  Google Scholar 

  10. Fikar, C., Hirsch, P.: Home health care routing and scheduling: a review. Comput. Oper. Res. 77, 86–95 (2017)

    Article  MathSciNet  Google Scholar 

  11. Glover, F.: Future paths for integer programming and links to artificial intelligence. Comput. Oper. Res. 13(5), 533–549 (1986)

    Article  MathSciNet  Google Scholar 

  12. Hiermann, G., Prandtstetter, M., Rendl, A., Puchinger, J., Raidl, G.R.: Metaheuristics for solving a multimodal home-healthcare scheduling problem. CEJOR 23(1), 89–113 (2013). https://doi.org/10.1007/s10100-013-0305-8

    Article  MathSciNet  MATH  Google Scholar 

  13. Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P.: Optimization by simulated annealing. Science 220(4598), 671–680 (1983)

    MathSciNet  MATH  Google Scholar 

  14. Liu, R., Yuan, B., Jiang, Z.: Mathematical model and exact algorithm for the home care worker scheduling and routing problem with lunch break requirements. Int. J. Prod. Res. 55(2), 558–575 (2017)

    Article  Google Scholar 

  15. Liu, R., Yuan, B., Jiang, Z.: A branch-and-price algorithm for the home-caregiver scheduling and routing problem with stochastic travel and service times. Flexible Serv. Manuf. J. 31(4), 989–1011 (2018). https://doi.org/10.1007/s10696-018-9328-8

    Article  Google Scholar 

  16. Mankowska, D.S., Meisel, F., Bierwirth, C.: The home health care routing and scheduling problem with interdependent services. Health Care Manage. Sci. 17(1), 15–30 (2013). https://doi.org/10.1007/s10729-013-9243-1

    Article  Google Scholar 

  17. Mladenović, N., Hansen, P.: Variable neighborhood search. Comput. Oper. Res. 24(11), 1097–1100 (1997)

    Article  MathSciNet  Google Scholar 

  18. Nickel, S., Schröder, M., Steeg, J.: Mid-term and short-term planning support for home health care services. Eur. J. Oper. Res. 219(3), 574–587 (2012)

    Article  Google Scholar 

  19. Rasmussen, M.S., Justesen, T., Dohn, A., Larsen, J.: The home care crew scheduling problem: preference-based visit clustering and temporal dependencies. Eur. J. Oper. Res. 219(3), 598–610 (2012)

    Article  Google Scholar 

  20. Redjem, R., Marcon, E.: Operations management in the home care services: a heuristic for the caregivers’ routing problem. Flex. Serv. Manuf. J. 28(1–2), 280–303 (2016)

    Article  Google Scholar 

  21. Rest, K.-D., Hirsch, P.: Daily scheduling of home health care services using time-dependent public transport. Flex. Serv. Manuf. J. 28(3), 495–525 (2015). https://doi.org/10.1007/s10696-015-9227-1

    Article  Google Scholar 

  22. Shi, Y., Boudouh, T., Grunder, O.: A robust optimization for a home health care routing and scheduling problem with consideration of uncertain travel and service times. Transp. Res. Part E: Logist. Transp. Rev. 128, 52–95 (2019)

    Article  Google Scholar 

  23. Solomon, M.M., Desrosiers, J.: Survey paper–time window constrained routing and scheduling problems. Transp. Sci. 22(1), 1–13 (1988). https://doi.org/10.1287/trsc.22.1.1

    Article  MATH  Google Scholar 

  24. Trautsamwieser, A., Hirsch, P.: Optimization of daily scheduling for home health care services. J. Appl. Oper. Res. 3(3), 124–136 (2011)

    Google Scholar 

  25. Tricoire, F., Romauch, M., Doerner, K.F., Hartl, R.F.: Heuristics for the multi-period orienteering problem with multiple time windows. Comput. Oper. Res. 37(2), 351–367 (2010)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammed Bazirha .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bazirha, M., Kadrani, A., Benmansour, R. (2020). Daily Scheduling and Routing of Home Health Care with Multiple Availability Periods of Patients. In: Benmansour, R., Sifaleras, A., Mladenović, N. (eds) Variable Neighborhood Search. ICVNS 2019. Lecture Notes in Computer Science(), vol 12010. Springer, Cham. https://doi.org/10.1007/978-3-030-44932-2_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-44932-2_13

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-44931-5

  • Online ISBN: 978-3-030-44932-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics