IDEAS home Printed from https://ideas.repec.org/p/hhs/nhhfms/2007_007.html
   My bibliography  Save this paper

A branch and price algorithm for the combined vehicle routing and scheduling problem with synchronization constraints

Author

Listed:
  • Bredström, David

    (Dept. of Mathematics, Linköpings universitet)

  • Rönnqvist, Mikael

    (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)

Abstract

In this paper we present a branch and price algorithm for the combined vehicle routing and scheduling problem with synchronization constraints. The synchronization constraints are used to model situations when two or more customers need simultaneous service. The synchronization constraints impose a temporal dependency between vehicles, and it follows that a classical decomposition of the vehicle routing and scheduling problem is not directly applicable. With our algorithm, we have solved 44 problems to optimality from the 60 problems used for numerical experiments. The algorithm performs time window branching, and the number of subproblem calls is kept low by adjustment of the columns service times.

Suggested Citation

  • Bredström, David & Rönnqvist, Mikael, 2007. "A branch and price algorithm for the combined vehicle routing and scheduling problem with synchronization constraints," Discussion Papers 2007/7, Norwegian School of Economics, Department of Business and Management Science.
    • Handle: RePEc:hhs:nhhfms:2007_007
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/11250/164114
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Freling, R. & Huisman, D. & Wagelmans, A.P.M., 2000. "Models and algorithms for Integration of Vehicle and Crew Scheduling," ERIM Report Series Research in Management ERS-2000-14-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    2. Bredström, David & Rönnqvist, Mikael, 2006. "Combined vehicle routing and scheduling with temporal precedence and synchronization constraints," Discussion Papers 2006/18, Norwegian School of Economics, Department of Business and Management Science.
    3. 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.
    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. Maryam Daryalal & Hamed Pouya & Marc Antoine DeSantis, 2023. "Network Migration Problem: A Hybrid Logic-Based Benders Decomposition Approach," INFORMS Journal on Computing, INFORMS, vol. 35(3), pages 593-613, May.
    2. 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.
    3. Lorenzo Ros-McDonnell & Norina Szander & María Victoria de-la-Fuente-Aragón & Robert Vodopivec, 2019. "Scheduling Sustainable Homecare with Urban Transport and Different Skilled Nurses Using an Approximate Algorithm," Sustainability, MDPI, vol. 11(22), pages 1-14, November.
    4. Norina Szander & Lorenzo Ros-McDonnell & María Victoria De-la-Fuente-Aragón & Robert Vodopivec, 2018. "Sustainable Urban Homecare Delivery with Different Means of Transport," Sustainability, MDPI, vol. 10(2), pages 1-12, February.

    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. Bredström, David & Rönnqvist, Mikael, 2006. "Combined vehicle routing and scheduling with temporal precedence and synchronization constraints," Discussion Papers 2006/18, Norwegian School of Economics, Department of Business and Management Science.
    2. 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.
    3. 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).
    4. Huisman, Dennis & Wagelmans, Albert P.M., 2006. "A solution approach for dynamic vehicle and crew scheduling," European Journal of Operational Research, Elsevier, vol. 172(2), pages 453-471, July.
    5. Timo Gschwind & Stefan Irnich, 2012. "Effective Handling of Dynamic Time Windows and Synchronization with Precedences for Exact Vehicle Routing," Working Papers 1211, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    6. Yan Li & Xiao Xu & Fuyu Wang, 2023. "Research on Home Health Care Scheduling Considering Synchronous Access of Caregivers and Vehicles," Sustainability, MDPI, vol. 15(7), pages 1-18, April.
    7. René Bekker & Dennis Moeke & Bas Schmidt, 2019. "Keeping pace with the ebbs and flows in daily nursing home operations," Health Care Management Science, Springer, vol. 22(2), pages 350-363, June.
    8. 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.
    9. 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.
    10. K Katsaliaki & N Mustafee, 2011. "Applications of simulation within the healthcare context," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(8), pages 1431-1451, August.
    11. Shima Azizi & Özge Aygül & Brenton Faber & Sharon Johnson & Renata Konrad & Andrew C. Trapp, 2023. "Select, route and schedule: optimizing community paramedicine service delivery with mandatory visits and patient prioritization," Health Care Management Science, Springer, vol. 26(4), pages 719-746, December.
    12. Lorenzo Ros-McDonnell & Norina Szander & María Victoria de-la-Fuente-Aragón & Robert Vodopivec, 2019. "Scheduling Sustainable Homecare with Urban Transport and Different Skilled Nurses Using an Approximate Algorithm," Sustainability, MDPI, vol. 11(22), pages 1-14, November.
    13. 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.
    14. Paola Cappanera & Maria Grazia Scutellà, 2022. "Addressing consistency and demand uncertainty in the Home Care planning problem," Flexible Services and Manufacturing Journal, Springer, vol. 34(1), pages 1-39, March.
    15. de Groot, S.W. & Huisman, D., 2004. "Vehicle and crew scheduling: solving large real-world instances with an integrated approach," Econometric Institute Research Papers EI 2004-13, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    16. Huisman, D. & Jans, R.F. & Peeters, M. & Wagelmans, A.P.M., 2003. "Combining Column Generation and Lagrangian Relaxation," ERIM Report Series Research in Management ERS-2003-092-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    17. 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).
    18. 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.
    19. 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.
    20. Dennis Huisman & Richard Freling & Albert P. M. Wagelmans, 2005. "Multiple-Depot Integrated Vehicle and Crew Scheduling," Transportation Science, INFORMS, vol. 39(4), pages 491-502, November.

    More about this item

    Keywords

    Routing; Scheduling; Synchronization; Branch and Price;
    All these keywords.

    JEL classification:

    • L91 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Transportation: General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:hhs:nhhfms:2007_007. 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: Stein Fossen (email available below). General contact details of provider: https://edirc.repec.org/data/dfnhhno.html .

    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.