168076 20260217205552.0 doi 10.1080/02331934.2024.2388204 sideral 139426 ART-2024-139426 eng Calvete, Herminia I. Universidad de Zaragoza (orcid)0000-0001-7603-9380 A novel approach to pessimistic bilevel problems. An application to the rank pricing problem with ties 2024 Access copy available to the general public Unrestricted This paper introduces a novel method to address the pessimistic approach to the bilevel problem. It consists of considering a lexicographic biobjective optimization problem at the lower level. To emphasize the significance of this approach, we implement it in the context of the Rank Pricing Problem with Ties. This problem can be formulated as a bilevel problem that inherently demands the use of the pessimistic approach. Considering the properties of the lexicographic biobjective problem involved, we formulate this problem as a single level mixed integer optimization problem, deriving also valid values for the big-Ms involved and valid inequalities for this formulation. The computational experiment carried out confirms the relevance of the proposed method. info:eu-repo/grantAgreement/ES/DGA/E41-20R info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/MICINN/PID2019-104263RB-C43 info:eu-repo/grantAgreement/ES/MICINN/PID2022-139543OB-C43 info:eu-repo/grantAgreement/EUR/MICINN/TED2021-130961B-I00 info:eu-repo/semantics/openAccess by-nc https://creativecommons.org/licenses/by-nc/4.0/deed.es 1.8 2024 MATHEMATICS, APPLIED 78 / 344 = 0.227 2024 Q1 T1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE 60 / 106 = 0.566 2024 Q3 T2 0.705 2024 Applied Mathematics 2024 Q2 Management Science and Operations Research 2024 Q2 Control and Optimization 2024 Q2 4.3 2024 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Galé, Carmen Universidad de Zaragoza (orcid)0000-0002-5630-3719 Hernández, Aitor Universidad de Zaragoza (orcid)0000-0003-4420-7567 Iranzo, José A. Universidad de Zaragoza (orcid)0000-0001-9993-9816 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. (2024), [34 pp.] Optimization OPTIMIZATION 0233-1934 229765 http://zaguan.unizar.es/record/168076/files/texto_completo.pdf Postprint 1457161 http://zaguan.unizar.es/record/168076/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:168076 articulos driver 2026-02-17-20:40:57 ARTICLE