EURO 2024 Copenhagen
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1940. Allocation-Routing Problem in a Multi-Hospital Home Hospitalization System: A Case Study of a Healthcare Provider in Portugal

Invited abstract in session MC-10: Mobility and transportation in healthcare, stream OR in Health Services (ORAHS).

Monday, 12:30-14:00
Room: 11 (building: 116)

Authors (first author is the speaker)

1. Valentina Bonomi
CEGIST, Instituto Tècnico Lisboa
2. Renata Mansini
Department of Information Engineering, University of Brescia
3. Daniel Santos
CEGIST, Instituto Superior Técnico, Universidade de Lisboa
4. Maria Lopes
CEGIST, Instituto Superior Técnico
5. Ana Barbosa-Povoa
Departamento de Engenharia e Gestão, Instituto Superior Técnico, Universidade de Lisboa

Abstract

We study a Multi-Hospital Home Hospitalization Allocation-Routing Problem (MH-HHARP) to provide a useful tool for a healthcare provider in Portugal for evaluating the impact of the opening of a new Home Hospitalization (HH) unit. Given the complexity of HH systems, where specialized nurses and doctors allocate their time between inpatient and outpatient systems, it is critical to efficiently manage their time and workload. For this purpose, we introduce a Mixed-Integer Linear Programming formulation that aims at minimizing routing costs, alongside introducing two other functions: workload balancing among nurses and the minimization of employed doctors. The model is validated using benchmark instances derived from the provider’s historical data. Through single-objective resolutions, we provide an economic analysis that assesses the cost implications and the benefits of opening a new HH unit at the variation of objective function. Furthermore, we explore bi-objective problems through an epsilon-constraints method, presenting significant Pareto frontiers to facilitate the provider's decision-making process regarding the trade-offs between different objectives. A TOPSIS analysis is subsequently applied to identify the optimal solution for the provider according to varying objectives weights.

Keywords

Status: accepted


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