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A Mathematical Model for Multi-trip Home Health Care Routing Problem with Time Windows

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Proceedings of the Fifteenth International Conference on Management Science and Engineering Management (ICMSEM 2021)

Part of the book series: Lecture Notes on Data Engineering and Communications Technologies ((LNDECT,volume 78))

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Abstract

The Home Health Care routing problem (HHCRP) is an extension of the vehicle routing problem (VRP) considering scheduling and routing simultaneously to perform home health care (HHC) services. These services may be examining the patients, preparing a diet plan, applying physical therapy, and picking up the blood samples. In this paper, HHCRP has been addressed for a public hospital in Ankara, Turkey, that provides HHC services with limited resources. There are teams that consist of a doctor, a nurse, a dietitian, a physiotherapist and a vehicle driver. The multiple tours of those teams are searched by considering time windows to meet patient demands on time. This problem is defined as the multi-trip home health care routing problem with time-windows (MT-HHCRP-TW). In this study, a mixed integer linear programming model to minimize the total travelling time is proposed. Test problems that are generated based on real data for computational analysis and results are discussed. Main contribution of this paper is to define a specific HHC system as a multi-trip home health care routing problem with time windows and to propose a mathematical model with polynomial size decision variables and constraints for this problem.

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Author information

Authors and Affiliations

  1. Baskent University, Ankara, Turkey

    Asiye Ozge Dengiz, Imdat Kara & Kumru Didem Atalay

  2. Gazi University, Ankara, Turkey

    Fulya Altiparmak

  3. Konya Technical University, Konya, Turkey

    Ismail Karaoglan

Authors
  1. Asiye Ozge Dengiz
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  2. Fulya Altiparmak
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  3. Imdat Kara
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  4. Kumru Didem Atalay
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  5. Ismail Karaoglan
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Corresponding author

Correspondence to Asiye Ozge Dengiz .

Editor information

Editors and Affiliations

  1. Business School, Sichuan University, Chengdu, China

    Jiu** Xu

  2. University of Castilla-La Mancha (UCLM), Ciudad Real, Ciudad Real, Spain

    Fausto Pedro García Márquez

  3. World Academy of Sciences, Trieste, Italy

    Mohamed Hag Ali Hassan

  4. Academy of Sciences of Moldova, Chisinau, Moldova

    Gheorghe Duca

  5. Institute of Systems Control, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

    Asaf Hajiyev

  6. Department of Industrial Engineering, Gazi University, Ankara, Turkey

    Fulya Altiparmak

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Dengiz, A.O., Altiparmak, F., Kara, I., Atalay, K.D., Karaoglan, I. (2021). A Mathematical Model for Multi-trip Home Health Care Routing Problem with Time Windows. In: Xu, J., García Márquez, F.P., Ali Hassan, M.H., Duca, G., Hajiyev, A., Altiparmak, F. (eds) Proceedings of the Fifteenth International Conference on Management Science and Engineering Management. ICMSEM 2021. Lecture Notes on Data Engineering and Communications Technologies, vol 78. Springer, Cham. https://doi.org/10.1007/978-3-030-79203-9_10

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