2026-06-29T07:25:07Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/422602024-11-26T17:21:40Zcom_20.500.14352_14col_20.500.14352_15
Model, solution concept, and Kth-best algorithm for linear trilevel programming
Zhang, Guangquan
Lu, Jie
Montero De Juan, Francisco Javier
Zeng, Yi
004.8
Trilevel programming
Bilevel programming
Hierarchical decision-making
Kth-best algorithm
Optimization
Decision support systems
Inteligencia artificial (Informática)
1203.04 Inteligencia Artificial
Trilevel programming refers to hierarchical optimization problems in which the top-level, middle-level, and bottom-level decision entities all attempt to optimize their individual objectives, but are impacted by the actions and partial control exercised by decision entities located at other levels. To solve this complex problem, in this study first we propose the use of a general linear trilevel programming (LTLP) subsequently, we develop a trilevel Kth-best algorithm to solve LTLP problems. A user-friendly trilevel decision support tool is also developed. A case study further illustrates the effectiveness of the proposed method.
Australian Research Council
Gobierno de España
Depto. de Estadística e Investigación Operativa
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-20T00:14:38Z
2023-06-20T00:14:38Z
2010
journal article
https://hdl.handle.net/20.500.14352/42260
0020-0255
10.1016/j.ins.2009.10.013
eng
DP0557154
TIN2009-07901.
Zhang, G., Lu, J., Montero, J., Zeng, Y.: Model, solution concept, and Kth-best algorithm for linear trilevel programming. Information Sciences. 180, 481-492 (2010). https://doi.org/10.1016/j.ins.2009.10.013
open access
application/pdf
Elsevier Science Inc