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dc.creatorMaravillo Gómez, Héctores
dc.creatorCamacho Vallejo, José Fernandoes
dc.creatorPuerto Albandoz, Justoes
dc.creatorLabbé, Martinees
dc.date.accessioned2020-03-19T11:54:13Z
dc.date.available2020-03-19T11:54:13Z
dc.date.issued2019-08
dc.identifier.citationMaravillo Gómez, H., Camacho Vallejo, J.F., Puerto Albandoz, J. y Labbé, M. (2019). A market regulation bilevel problem: a case study of the Mexican petrochemical industry. Omega
dc.identifier.issn0305-0483es
dc.identifier.urihttps://hdl.handle.net/11441/94315
dc.description.abstractIn this paper, a bilevel programming model is proposed to study a problem of market regulation through government intervention. One of the main characteristics of the problem herein analyzed is that the government monopolizes the raw material in one industry, and competes in another industry with private firms for the production of commodities. Under this scheme, the government controls a state-owned firm to balance the market; that is, to minimize the difference between the produced and demanded commodities. On the other hand, a regulatory organism that coordinates private firms aims to maximize the total profit by deciding the amount of raw material bought from the state-owned firm. Two equivalent single-level reformulations are proposed to solve the problem. The first reformulation is based on the strong duality condition of the lower level and results in a continuous nonlinear model. The second reformulation resorts to the complementarity slackness optimality constraints yielding a mixed-integer linear model. Additionally, three heuristic algorithms are designed to obtain good-quality solutions with low computational effort. In this problem, the feasible region of the dual problem associated to the follower is independent from the leader’s decision. Therefore, the proposed heuristics exploit this particular characteristic of the bilevel model. Moreover, the third heuristic hybridizes the other two algorithms to enhance its performance. Extensive computational experimentation is carried out to measure the efficiency of the proposed solution methodologies. A case study based on the Mexican petrochemical industry is presented. Additional instances generated from the case study are considered to validate the robustness of the proposed heuristic algorithms. Numerical results indicate that the hybrid algorithm outperforms the other two heuristics. However, all of them demonstrate to be good alternatives for solving the problem. Additionally, optimal solutions of all the instances are obtained by using good quality solutions (given by the hybrid algorithm) as initial solutions when solving the second reformulation via a general purpose solver.es
dc.formatapplication/pdfes
dc.format.extent26 p.es
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofOmega
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectMarket regulationes
dc.subjectBilevel programminges
dc.subjectPetrochemical industryes
dc.titleA market regulation bilevel problem: a case study of the Mexican petrochemical industryes
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Estadística e Investigación Operativaes
dc.relation.projectIDPRODEP/511-6/17/7425es
dc.relation.projectIDMTM2016-74983-C02-01es
dc.relation.projectIDPDR T0098.18es
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0305048318312398es
dc.identifier.doi10.1016/j.omega.2019.08.012es
dc.contributor.groupUniversidad de Sevilla. FQM331: Métodos y Modelos de la Estadística y la Investigación Operativaes
dc.journaltitleOmegaes
dc.contributor.funderEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)es
dc.contributor.funderMinisterio de Economía y Competitividad (MINECO). Españaes
dc.contributor.funderFonds de la Recherche Scientiquees

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