dc.creator | Maravillo Gómez, Héctor | es |
dc.creator | Camacho Vallejo, José Fernando | es |
dc.creator | Puerto Albandoz, Justo | es |
dc.creator | Labbé, Martine | es |
dc.date.accessioned | 2020-03-19T11:54:13Z | |
dc.date.available | 2020-03-19T11:54:13Z | |
dc.date.issued | 2019-08 | |
dc.identifier.citation | Maravillo 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.issn | 0305-0483 | es |
dc.identifier.uri | https://hdl.handle.net/11441/94315 | |
dc.description.abstract | In 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.format | application/pdf | es |
dc.format.extent | 26 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Omega | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Market regulation | es |
dc.subject | Bilevel programming | es |
dc.subject | Petrochemical industry | es |
dc.title | A market regulation bilevel problem: a case study of the Mexican petrochemical industry | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa | es |
dc.relation.projectID | PRODEP/511-6/17/7425 | es |
dc.relation.projectID | MTM2016-74983-C02-01 | es |
dc.relation.projectID | PDR T0098.18 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0305048318312398 | es |
dc.identifier.doi | 10.1016/j.omega.2019.08.012 | es |
dc.contributor.group | Universidad de Sevilla. FQM331: Métodos y Modelos de la Estadística y la Investigación Operativa | es |
dc.journaltitle | Omega | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.contributor.funder | Fonds de la Recherche Scientique | es |