IDEAS home Printed from https://ideas.repec.org/a/spr/flsman/v28y2016i3d10.1007_s10696-015-9227-1.html
   My bibliography  Save this article

Daily scheduling of home health care services using time-dependent public transport

Author

Listed:
  • Klaus-Dieter Rest

    (University of Natural Resources and Life Sciences, Vienna)

  • Patrick Hirsch

    (University of Natural Resources and Life Sciences, Vienna)

Abstract

This paper presents a real-world optimization problem in home health care that is solved on a daily basis. It can be described as follows: care staff members with different qualification levels have to visit certain clients at least once per day. Assignment constraints and hard time windows at the clients have to be observed. The staff members have a maximum working time and their workday can be separated into two shifts. A mandatory break that can also be partitioned needs to be scheduled if the consecutive working time exceeds a certain threshold. The objective is to minimize the total travel- and waiting times of the care staff. Additionally, factors influencing the satisfaction of the clients or the care staff are considered. Most of the care staff members from the Austrian Red Cross (ARC) in Vienna use a combination of public transport modes (bus, tram, train, and metro) and walking. We present a novel model formulation for this problem, followed by an efficient exact solution approach to compute the time-dependent travel times out of the timetables from public transport service providers on a minute-basis. These travel time matrices are then used as input for three Tabu Search based solution methods for the scheduling problem. Extensive numerical studies with real-world data from the ARC show that the current planning can be improved significantly when these methods are applied.

Suggested Citation

  • Klaus-Dieter Rest & Patrick Hirsch, 2016. "Daily scheduling of home health care services using time-dependent public transport," Flexible Services and Manufacturing Journal, Springer, vol. 28(3), pages 495-525, September.
    • Handle: RePEc:spr:flsman:v:28:y:2016:i:3:d:10.1007_s10696-015-9227-1
    DOI: 10.1007/s10696-015-9227-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10696-015-9227-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10696-015-9227-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sachidanand V. Begur & David M. Miller & Jerry R. Weaver, 1997. "An Integrated Spatial DSS for Scheduling and Routing Home-Health-Care Nurses," Interfaces, INFORMS, vol. 27(4), pages 35-48, August.
    2. Liu, Ran & Xie, Xiaolan & Garaix, Thierry, 2014. "Hybridization of tabu search with feasible and infeasible local searches for periodic home health care logistics," Omega, Elsevier, vol. 47(C), pages 17-32.
    3. Jan Fabian Ehmke, 2012. "Routing in City Logistics," International Series in Operations Research & Management Science, in: Integration of Information and Optimization Models for Routing in City Logistics, edition 127, chapter 0, pages 119-156, Springer.
    4. Bräysy, Olli & Dullaert, Wout & Nakari, Pentti, 2009. "The potential of optimization in communal routing problems: case studies from Finland," Journal of Transport Geography, Elsevier, vol. 17(6), pages 484-490.
    5. Cordeau, Jean-François & Laporte, Gilbert, 2003. "A tabu search heuristic for the static multi-vehicle dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 579-594, July.
    6. Rasmussen, Matias Sevel & Justesen, Tor & Dohn, Anders & Larsen, Jesper, 2012. "The Home Care Crew Scheduling Problem: Preference-based visit clustering and temporal dependencies," European Journal of Operational Research, Elsevier, vol. 219(3), pages 598-610.
    7. Said Dabia & Stefan Ropke & Tom van Woensel & Ton De Kok, 2013. "Branch and Price for the Time-Dependent Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 47(3), pages 380-396, August.
    8. Andrea Matta & Salma Chahed - Jebalia & Evren Sahin, 2014. "Modelling home care organisations from an operations management perspective," Post-Print hal-01737963, HAL.
    9. Bernhard Fleischmann & Martin Gietz & Stefan Gnutzmann, 2004. "Time-Varying Travel Times in Vehicle Routing," Transportation Science, INFORMS, vol. 38(2), pages 160-173, May.
    10. Eveborn, Patrik & Flisberg, Patrik & Ronnqvist, Mikael, 2006. "Laps Care--an operational system for staff planning of home care," European Journal of Operational Research, Elsevier, vol. 171(3), pages 962-976, June.
    11. Chryssi Malandraki & Mark S. Daskin, 1992. "Time Dependent Vehicle Routing Problems: Formulations, Properties and Heuristic Algorithms," Transportation Science, INFORMS, vol. 26(3), pages 185-200, August.
    12. Patrick Hirsch, 2011. "Minimizing Empty Truck Loads in Round Timber Transport with Tabu Search Strategies," International Journal of Information Systems and Supply Chain Management (IJISSCM), IGI Global, vol. 4(2), pages 15-41, April.
    13. Patrik Eveborn & Mikael Rönnqvist & Helga Einarsdóttir & Mats Eklund & Karin Lidén & Marie Almroth, 2009. "Operations Research Improves Quality and Efficiency in Home Care," Interfaces, INFORMS, vol. 39(1), pages 18-34, February.
    14. J-F Cordeau & G Laporte & A Mercier, 2001. "A unified tabu search heuristic for vehicle routing problems with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(8), pages 928-936, August.
    15. Ichoua, Soumia & Gendreau, Michel & Potvin, Jean-Yves, 2003. "Vehicle dispatching with time-dependent travel times," European Journal of Operational Research, Elsevier, vol. 144(2), pages 379-396, January.
    16. Martin W. P. Savelsbergh, 1992. "The Vehicle Routing Problem with Time Windows: Minimizing Route Duration," INFORMS Journal on Computing, INFORMS, vol. 4(2), pages 146-154, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mohamed Cissé & Semih Yalçindag & Yannick Kergosien & Evren Sahin & Christophe Lenté & Andrea Matta, 2017. "OR problems related to Home Health Care: A review of relevant routing and scheduling problems," Post-Print hal-01736714, HAL.
    2. Roberto Aringhieri & Patrick Hirsch & Marion S. Rauner & Melanie Reuter-Oppermanns & Margit Sommersguter-Reichmann, 2022. "Central European journal of operations research (CJOR) “operations research applied to health services (ORAHS) in Europe: general trends and ORAHS 2020 conference in Vienna, Austria”," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(1), pages 1-18, March.
    3. Isabel Méndez-Fernández & Silvia Lorenzo-Freire & Ignacio García-Jurado & Julián Costa & Luisa Carpente, 2020. "A heuristic approach to the task planning problem in a home care business," Health Care Management Science, Springer, vol. 23(4), pages 556-570, December.
    4. Ahmed Adnan Zaid & Ahmed R. Asaad & Mohammed Othman & Ahmad Haj Mohammad, 2024. "Multi-Objective Technology-Based Approach to Home Healthcare Routing Problem Considering Sustainability Aspects," Logistics, MDPI, vol. 8(3), pages 1-29, July.
    5. Castillo, Cristian & Alvarez-Palau, Eduard J. & Calvet, Laura & Panadero, Javier & Viu-Roig, Marta & Serena-Latre, Anna & Juan, Angel A., 2024. "Home healthcare in Spanish rural areas: Applying vehicle routing algorithms to health transport management," Socio-Economic Planning Sciences, Elsevier, vol. 92(C).
    6. Lin, Meiyan & Ma, Lijun & Ying, Chengshuo, 2021. "Matching daily home health-care demands with supply in service-sharing platforms," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    7. Jalel Euchi & Malek Masmoudi & Patrick Siarry, 2022. "Home health care routing and scheduling problems: a literature review," 4OR, Springer, vol. 20(3), pages 351-389, September.
    8. Klaus-Dieter Rest & Patrick Hirsch, 2022. "Insights and decision support for home health care services in times of disasters," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(1), pages 133-157, March.
    9. Mustafa Demirbilek & Juergen Branke & Arne K. Strauss, 2021. "Home healthcare routing and scheduling of multiple nurses in a dynamic environment," Flexible Services and Manufacturing Journal, Springer, vol. 33(1), pages 253-280, March.
    10. Christian Fikar & Patrick Hirsch, 2018. "Evaluation of trip and car sharing concepts for home health care services," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 78-97, June.
    11. Neda Tanoumand & Tonguç Ünlüyurt, 2021. "An exact algorithm for the resource constrained home health care vehicle routing problem," Annals of Operations Research, Springer, vol. 304(1), pages 397-425, September.
    12. Gang Du & Xi Liang & Chuanwang Sun, 2017. "Scheduling Optimization of Home Health Care Service Considering Patients’ Priorities and Time Windows," Sustainability, MDPI, vol. 9(2), pages 1-22, February.
    13. Yadav, Niteesh & Tanksale, Ajinkya, 2022. "An integrated routing and scheduling problem for home healthcare delivery with limited person-to-person contact," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1100-1125.
    14. Nasir, Jamal Abdul & Kuo, Yong-Hong, 2024. "Stochastic home care transportation with dynamically prioritized patients: An integrated facility location, fleet sizing, and routing approach," Transportation Research Part B: Methodological, Elsevier, vol. 184(C).
    15. Mohammed Bazirha & Abdeslam Kadrani & Rachid Benmansour, 2023. "Stochastic home health care routing and scheduling problem with multiple synchronized services," Annals of Operations Research, Springer, vol. 320(2), pages 573-601, January.
    16. Mahyar Mirabnejad & Hadi Mohammadi & Mehrdad Mirzabaghi & Amir Aghsami & Fariborz Jolai & Maziar Yazdani, 2022. "Home Health Care Problem with Synchronization Visits and Considering Samples Transferring Time: A Case Study in Tehran, Iran," IJERPH, MDPI, vol. 19(22), pages 1-25, November.
    17. Aliza Heching & J. N. Hooker & Ryo Kimura, 2019. "A Logic-Based Benders Approach to Home Healthcare Delivery," Transportation Science, INFORMS, vol. 53(2), pages 510-522, March.
    18. Grenouilleau, Florian & Legrain, Antoine & Lahrichi, Nadia & Rousseau, Louis-Martin, 2019. "A set partitioning heuristic for the home health care routing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 275(1), pages 295-303.
    19. Marouene Chaieb & Jaber Jemai & Khaled Mellouli, 2020. "A decomposition - construction approach for solving the home health care scheduling problem," Health Care Management Science, Springer, vol. 23(2), pages 264-286, June.
    20. Jiao Zhao & Tao Wang & Thibaud Monteiro, 2024. "A Bi-Objective Home Health Care Routing and Scheduling Problem under Uncertainty," IJERPH, MDPI, vol. 21(3), pages 1-27, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mohamed Cissé & Semih Yalçindag & Yannick Kergosien & Evren Sahin & Christophe Lenté & Andrea Matta, 2017. "OR problems related to Home Health Care: A review of relevant routing and scheduling problems," Post-Print hal-01736714, HAL.
    2. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2013. "Heuristics for multi-attribute vehicle routing problems: A survey and synthesis," European Journal of Operational Research, Elsevier, vol. 231(1), pages 1-21.
    3. Schilde, M. & Doerner, K.F. & Hartl, R.F., 2014. "Integrating stochastic time-dependent travel speed in solution methods for the dynamic dial-a-ride problem," European Journal of Operational Research, Elsevier, vol. 238(1), pages 18-30.
    4. Gomes, Maria Isabel & Ramos, Tânia Rodrigues Pereira, 2019. "Modelling and (re-)planning periodic home social care services with loyalty and non-loyalty features," European Journal of Operational Research, Elsevier, vol. 277(1), pages 284-299.
    5. Nicolas Rincon-Garcia & Ben J. Waterson & Tom J. Cherrett, 2018. "Requirements from vehicle routing software: perspectives from literature, developers and the freight industry," Transport Reviews, Taylor & Francis Journals, vol. 38(1), pages 117-138, January.
    6. Semih Yalçındağ & Andrea Matta & Evren Şahin & J. George Shanthikumar, 2016. "The patient assignment problem in home health care: using a data-driven method to estimate the travel times of care givers," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 304-335, June.
    7. Biao Yuan & Zhibin Jiang, 2017. "Disruption Management for the Real-Time Home Caregiver Scheduling and Routing Problem," Sustainability, MDPI, vol. 9(12), pages 1-15, November.
    8. Verbeeck, C. & Vansteenwegen, P. & Aghezzaf, E.-H., 2016. "Solving the stochastic time-dependent orienteering problem with time windows," European Journal of Operational Research, Elsevier, vol. 255(3), pages 699-718.
    9. Gang Du & Xi Liang & Chuanwang Sun, 2017. "Scheduling Optimization of Home Health Care Service Considering Patients’ Priorities and Time Windows," Sustainability, MDPI, vol. 9(2), pages 1-22, February.
    10. Avraham, Edison & Raviv, Tal, 2020. "The data-driven time-dependent traveling salesperson problem," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 25-40.
    11. Rincon-Garcia, Nicolas & Waterson, Ben & Cherrett, Tom J. & Salazar-Arrieta, Fernando, 2020. "A metaheuristic for the time-dependent vehicle routing problem considering driving hours regulations – An application in city logistics," Transportation Research Part A: Policy and Practice, Elsevier, vol. 137(C), pages 429-446.
    12. Paola Cappanera & Maria Grazia Scutellà, 2015. "Joint Assignment, Scheduling, and Routing Models to Home Care Optimization: A Pattern-Based Approach," Transportation Science, INFORMS, vol. 49(4), pages 830-852, November.
    13. Pahlevani, Delaram & Abbasi, Babak & Hearne, John W. & Eberhard, Andrew, 2022. "A cluster-based algorithm for home health care planning: A case study in Australia," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
    14. Rifki, Omar & Chiabaut, Nicolas & Solnon, Christine, 2020. "On the impact of spatio-temporal granularity of traffic conditions on the quality of pickup and delivery optimal tours," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    15. Lu, Jiawei & Nie, Qinghui & Mahmoudi, Monirehalsadat & Ou, Jishun & Li, Chongnan & Zhou, Xuesong Simon, 2022. "Rich arc routing problem in city logistics: Models and solution algorithms using a fluid queue-based time-dependent travel time representation," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 143-182.
    16. Nasir, Jamal Abdul & Kuo, Yong-Hong, 2024. "Stochastic home care transportation with dynamically prioritized patients: An integrated facility location, fleet sizing, and routing approach," Transportation Research Part B: Methodological, Elsevier, vol. 184(C).
    17. Maya Duque, P.A. & Castro, M. & Sörensen, K. & Goos, P., 2015. "Home care service planning. The case of Landelijke Thuiszorg," European Journal of Operational Research, Elsevier, vol. 243(1), pages 292-301.
    18. Timo Gschwind, 2019. "Route feasibility testing and forward time slack for the Synchronized Pickup and Delivery Problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(2), pages 491-512, June.
    19. Braekers, Kris & Hartl, Richard F. & Parragh, Sophie N. & Tricoire, Fabien, 2016. "A bi-objective home care scheduling problem: Analyzing the trade-off between costs and client inconvenience," European Journal of Operational Research, Elsevier, vol. 248(2), pages 428-443.
    20. Gmira, Maha & Gendreau, Michel & Lodi, Andrea & Potvin, Jean-Yves, 2021. "Tabu search for the time-dependent vehicle routing problem with time windows on a road network," European Journal of Operational Research, Elsevier, vol. 288(1), pages 129-140.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:flsman:v:28:y:2016:i:3:d:10.1007_s10696-015-9227-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.