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International Transactions in Operational Research
Article . 2022 . Peer-reviewed
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A biased random‐key genetic algorithm for the home health care problem

A biased random-key genetic algorithm for the home health care problem
Authors: Alberto Francisco Kummer Neto; Olinto C. B. de Araújo; Luciana S. Buriol; Mauricio G. C. Resende;

A biased random‐key genetic algorithm for the home health care problem

Abstract

AbstractHome health care problems consist in scheduling visits to home patients by health professionals while following a series of requirements. This paper studies the Home Health Care Routing and Scheduling Problem, which comprises a multi‐attribute vehicle routing problem with soft time windows. Additional route inter‐dependency constraints apply for patients requesting multiple visits, either by simultaneous visits or visits with precedence. We apply a mathematical programming solver to obtain lower bounds for the problem. We also propose a biased random‐key genetic algorithm, and we study the effects of additional state‐of‐the‐art components recently proposed in the literature for this genetic algorithm. We perform computational experiment using a publicly available benchmark dataset. Regarding the previous local search‐based methods, we find results up to 26.1% better than those of the literature. We find improvements from around 0.4% to 6.36% compared to previous results from a similar genetic algorithm.

Keywords

route inter-dependencies, route synchronization, G.1.6; F.2.2; G.2.1, G.1.6, exploration and exploitation, G.2.1, Systems and Control (eess.SY), 90-08 (Primary), 90C11 (Secondary), Electrical Engineering and Systems Science - Systems and Control, solution space, Optimization and Control (math.OC), FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, F.2.2, home health care problem, vehicle routing problem with time-windows, Mathematics - Optimization and Control, Operations research, mathematical programming

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
25
Top 10%
Top 10%
Top 10%
Green