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Metaheuristics for solving a multimodal home-healthcare scheduling problem

Author

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  • Gerhard Hiermann
  • Matthias Prandtstetter
  • Andrea Rendl
  • Jakob Puchinger
  • Günther Raidl

Abstract

We present a general framework for solving a real-world multimodal home-healthcare scheduling (MHS) problem from a major Austrian home-healthcare provider. The goal of MHS is to assign home-care staff to customers and determine efficient multimodal tours while considering staff and customer satisfaction. Our approach is designed to be as problem-independent as possible, such that the resulting methods can be easily adapted to MHS setups of other home-healthcare providers. We chose a two-stage approach: in the first stage, we generate initial solutions either via constraint programming techniques or by a random procedure. During the second stage, the initial solutions are (iteratively) improved by applying one of four metaheuristics: variable neighborhood search, a memetic algorithm, scatter search and a simulated annealing hyper-heuristic. An extensive computational comparison shows that the approach is capable of solving real-world instances in reasonable time and produces valid solutions within only a few seconds. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Gerhard Hiermann & Matthias Prandtstetter & Andrea Rendl & Jakob Puchinger & Günther Raidl, 2015. "Metaheuristics for solving a multimodal home-healthcare scheduling problem," 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. 23(1), pages 89-113, March.
    • Handle: RePEc:spr:cejnor:v:23:y:2015:i:1:p:89-113
    DOI: 10.1007/s10100-013-0305-8
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    References listed on IDEAS

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    1. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part I: Route Construction and Local Search Algorithms," Transportation Science, INFORMS, vol. 39(1), pages 104-118, February.
    2. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    3. 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.
    4. 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.
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