Optimization Days 2019
HEC Montréal, May 13-15, 2019
JOPT2019
HEC Montréal, 13 — 15 May 2019
MB5 Healthcare Optimization I
May 13, 2019 10:30 AM – 12:10 PM
Location: Hélène-Desmarais
Chaired by Florian Grenouilleau
3 Presentations
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10:30 AM - 10:55 AM
Time-space network formulation for biomedical samples transportation problem
We introduce a novel formulation over a time-expanded network for a vehicle routing problem arising in the collection and transportation of biomedical samples. The new model has better numerical properties than a classical three-index model from the literature. We provide computational evidence of the efficiency of the formulation to generate high quality bounds. We also depict a promising dynamic refinement algorithm to exploit the model properties.
Key words: healthcare logistic; mathematical programming; time-space network -
10:55 AM - 11:20 AM
Integration of user preferences for the home health care routing and scheduling multi-objective problem
Home Health Care Services provide medical and paramedical services at the patients’ home rather than in a facility (such as a hospital). This means these HHCS need to optimize the schedule of the caregivers to visit all their assigned patients in the most efficient way possible. Each agency employ a number of schedulers whose task is to manually schedule the visits, taking into account multiple criteria. In this paper, we present a heuristic method aimed at finding the best solution according to the user preferences or priorities. Using a hierarchical ordering of the criteria our algorithm returns the best solution found regarding the strict order. In addition, it also suggests a list of near-equivalent solutions based on user tolerance levels. These solutions, Pareto-optimal alternatives to the best hierarchical solution, offer more decision-making power to the user. Finally, the performances of the proposed method are compared to those of the classic weighted sum approach.
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11:20 AM - 11:45 AM
A decomposition method for the dynamic home health care routing and scheduling
Due to the aging of the population, the demand in home health care services have
greatly increased during the past decade. In order to manage this demand, an
improvement of the resources utilization is necessary. In this work, we are
interested in the dynamic home health care routing and scheduling problem. The
objective here is to develop a decomposition method based on scenarios in order
to dynamically accept and schedule new patients in the system while conserving a
high quality of service for existing patients.