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Decomposition techniques with mixed integer programming and heuristics for home healthcare planning

Laesanklang, Wasakorn; Landa-Silva, Dario

Authors

Wasakorn Laesanklang



Abstract

We tackle home healthcare planning scenarios in the UK using decomposition methods that incorporate mixed integer programming solvers and heuristics. Home healthcare planning is a difficult problem that integrates aspects from scheduling and routing. Solving real-world size instances of these problems still presents a significant challenge to modern exact optimization solvers. Nevertheless, we propose decomposition techniques to harness the power of such solvers while still offering a practical approach to produce high-quality solutions to real-world problem instances. We first decompose the problem into several smaller sub-problems. Next, mixed integer programming and/or heuristics are used to tackle the sub-problems. Finally, the sub-problem solutions are combined into a single valid solution for the whole problem. The different decomposition methods differ in the way in which subproblems are generated and the way in which conflicting assignments are tackled (i.e. avoided or repaired). We present the results obtained by the proposed decomposition methods and compare them to solutions obtained with other methods. In addition, we conduct a study that reveals how the different steps in the proposed method contribute to those results. The main contribution of this paper is a better understanding of effective ways to combine mixed integer programming within effective decomposition methods to solve real-world instances of home healthcare planning problems in practical computation time.

Journal Article Type Article
Publication Date Sep 30, 2017
Journal Annals of Operations Research
Print ISSN 0254-5330
Electronic ISSN 1572-9338
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 256
Issue 1
Pages 93-127
APA6 Citation Laesanklang, W., & Landa-Silva, D. (2017). Decomposition techniques with mixed integer programming and heuristics for home healthcare planning. Annals of Operations Research, 256(1), 93-127. https://doi.org/10.1007/s10479-016-2352-8
DOI https://doi.org/10.1007/s10479-016-2352-8
Keywords Home healthcare planning; workforce scheduling and routing; mixed integer programming; problem decomposition; heuristic decomposition
Publisher URL http://link.springer.com/article/10.1007%2Fs10479-016-2352-8
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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