Robust Additive Value-Based Efficiency Analysis with a Hierarchical Structure of Inputs and Outputs

Autor: Anna Labijak-Kowalska, Miłosz Kadziński, Weronika Mrozek
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Applied Sciences, Vol 13, Iss 11, p 6406 (2023)
Druh dokumentu: article
ISSN: 2076-3417
DOI: 10.3390/app13116406
Popis: We introduce a novel methodological framework based on additive value-based efficiency analysis. It considers inputs and outputs organized in a hierarchical structure. Such an approach allows us to decompose the problem into manageable pieces and determine the analyzed units’ strengths and weaknesses. We provide robust outcomes by analyzing all feasible weight vectors at different hierarchy levels. The analysis concerns three complementary points of view: distances to the efficient unit, ranks, and pairwise preference relations. For each of them, we determine the exact extreme results and the distribution of probabilistic results. We apply the proposed method to a case study concerning the performance of healthcare systems in sixteen Polish voivodeships (provinces). We discuss the results based on the entire set of factors (the root of the hierarchy) and three subcategories. They concern health improvement of inhabitants, efficient financial management, and consumer satisfaction. Finally, we show the practical conclusions that can be derived from the hierarchical decomposition of the problem and robustness analysis.
Databáze: Directory of Open Access Journals