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Solving a More Flexible Home Health Care Scheduling and Routing Problem with Joint Patient and Nursing Staff Selection

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  • Jamal Abdul Nasir

    (Department of Systems Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China)

  • Chuangyin Dang

    (Department of Systems Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China)

Abstract

Development of an efficient and effective home health care (HHC) service system is a quite recent and challenging task for the HHC firms. This paper aims to develop an HHC service system in the perspective of long-term economic sustainability as well as operational efficiency. A more flexible mixed-integer linear programming (MILP) model is formulated by incorporating the dynamic arrival and departure of patients along with the selection of new patients and nursing staff. An integrated model is proposed that jointly addresses: (i) patient selection; (ii) nurse hiring; (iii) nurse to patient assignment; and (iv) scheduling and routing decisions in a daily HHC planning problem. The proposed model extends the HHC problem from conventional scheduling and routing issues to demand and capacity management aspects. It enables an HHC firm to solve the daily scheduling and routing problem considering existing patients and nursing staff in combination with the simultaneous selection of new patients and nurses, and optimizing the existing routes by including new patients and nurses. The model considers planning issues related to compatibility, time restrictions, contract durations, idle time and workload balance. Two heuristic methods are proposed to solve the model by exploiting the variable neighborhood search (VNS) approach. Results obtained from the heuristic methods are compared with a CPLEX based solution. Numerical experiments performed on different data sets, show the efficiency and effectiveness of the solution methods to handle the considered problem.

Suggested Citation

  • Jamal Abdul Nasir & Chuangyin Dang, 2018. "Solving a More Flexible Home Health Care Scheduling and Routing Problem with Joint Patient and Nursing Staff Selection," Sustainability, MDPI, vol. 10(1), pages 1-22, January.
    • Handle: RePEc:gam:jsusta:v:10:y:2018:i:1:p:148-:d:126048
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    References listed on IDEAS

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    1. Perl, Jossef & Daskin, Mark S., 1985. "A warehouse location-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 19(5), pages 381-396, October.
    2. 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.
    3. C. Rodriguez & T. Garaix & X. Xie & V. Augusto, 2015. "Staff dimensioning in homecare services with uncertain demands," International Journal of Production Research, Taylor & Francis Journals, vol. 53(24), pages 7396-7410, December.
    4. Alexander Shulman, 1991. "An Algorithm for Solving Dynamic Capacitated Plant Location Problems with Discrete Expansion Sizes," Operations Research, INFORMS, vol. 39(3), pages 423-436, June.
    5. Nickel, Stefan & Schröder, Michael & Steeg, Jörg, 2012. "Mid-term and short-term planning support for home health care services," European Journal of Operational Research, Elsevier, vol. 219(3), pages 574-587.
    6. 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.
    7. Jonathan Bard & Yufen Shao & Xiangtong Qi & Ahmad Jarrah, 2014. "The traveling therapist scheduling problem," IISE Transactions, Taylor & Francis Journals, vol. 46(7), pages 683-706.
    8. 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.
    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. Erlenkotter, Donald, 1981. "A comparative study of approaches to dynamic location problems," European Journal of Operational Research, Elsevier, vol. 6(2), pages 133-143, February.
    11. G. A. Croes, 1958. "A Method for Solving Traveling-Salesman Problems," Operations Research, INFORMS, vol. 6(6), pages 791-812, December.
    12. Carello, Giuliana & Lanzarone, Ettore, 2014. "A cardinality-constrained robust model for the assignment problem in Home Care services," European Journal of Operational Research, Elsevier, vol. 236(2), pages 748-762.
    13. Yufen Shao & Jonathan Bard & Ahmad Jarrah, 2012. "The therapist routing and scheduling problem," IISE Transactions, Taylor & Francis Journals, vol. 44(10), pages 868-893.
    14. 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.
    15. 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.
    16. Bredström, David & Rönnqvist, Mikael, 2008. "Combined vehicle routing and scheduling with temporal precedence and synchronization constraints," European Journal of Operational Research, Elsevier, vol. 191(1), pages 19-31, November.
    17. Dorota Mankowska & Frank Meisel & Christian Bierwirth, 2014. "The home health care routing and scheduling problem with interdependent services," Health Care Management Science, Springer, vol. 17(1), pages 15-30, March.
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    2. Zheng, Chenyang & Wang, Shuming & Li, Ningxin & Wu, Yuanhao, 2021. "Stochastic joint homecare service and capacity planning with nested decomposition approaches," European Journal of Operational Research, Elsevier, vol. 295(1), pages 203-222.

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