
arXiv: 2206.14347
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.
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
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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