A Study of Highways Performance with a Molp-Dea Model and an Interactive Tri-Criteria Linear Programming Package (Trimap)

  • João Carlos Namorado Climaco Universityu of Coimbra
  • João Carlos C.B. Soares de Mello Fluminense Federal University (UFF)
  • Lidia Angulo Meza Fluminense Federal University (UFF)
Keywords: Multi-Objective, Data Envelopment Analysis, Road Transport, Highways, MCDEA, TRIMAP.

Abstract

This paper deals with the evaluation of a few Brazilian privatised highways. We use Data Envelopment Analysis (DEA) for that. As the number of highways is too small, we need to use an additional method to avoid ties in the evaluation index. The MCDEA model of Li and Reeves (a tri-objective model) is adequate to solve this problem. The authors suggest the extension of the CCR model, considering two extra objective functions, i.e. a min-max function, corresponding to a measure of equity and a min-sum function, favouring some sort of overall evaluation of the DMUs, from the point of view of the DMU under analysis. The graphic decomposition of the weighting space (used in TRIMAP as an operational tool), the possibility of introducing constraints on the objective function values during the search automatically translated into the weighting space make it specially adequate to explore the MCDEA model.

 

Author Biographies

João Carlos Namorado Climaco, Universityu of Coimbra
João Carlos Namorado Clímaco is Full Professor at the Faculty of Economics of the University of Coimbra, President of the Scientific Committee of the INESC – Coimbra and Member of Conselho Geral of INESC-Coimbra (the research unit in which he is integrated). He obtained a Master of Science Degree in “Control Systems” at the Imperial College of Science and Technology “, University of London (1978); the “Diploma of Membership of the Imperial College of Science and Technology” (1978); the Ph.D. in Optimization and Systems Theory, Electrical Engineering Department, University of Coimbra (1982); and the title of “Agregação”at the University of Coimbra (1989). He was awarded with: “Conference Chairman Award”, International Society on Multiple Criteria Decision Making-1995” and Grande Oficial da Ordem do Rio Branco, Brazil -1996. He was past Vice-President of ALIO- Latin Ibero American OR Association, past Vice-President of the Portuguese OR Society, and past Member of the International Executive Committee of the International Society on Multiple Criteria Decision Making. He is member of the IFIP-WG 8.3-Decision Support Systems. He belongs to the Editorial Board of the following Scientific Journals: “Investigação Operacional” (Journal of the Portuguese OR Society), the “Journal of Group Decision and Negotiation” and “International Transactions in Operational Research. He is also member of the Editorial Board of the University of Coimbra Press and of the Engevista Journal.
João Carlos C.B. Soares de Mello, Fluminense Federal University (UFF)
João Carlos C. B. Soares de Mello graduated in Mechanical Engineering with a Master’s degree in mathematics and a Ph.D degree in Operational Research. He has been head of the Applied Mathematics Department at Fluminense Federal University (UFF) and has been responsible for the operational matters in the entrance exam at the same university for 5 years. He is currently professor at the Production Engineering Departament of the Fluminense Federal University (UFF), researcher of CNPq and “Jovem Cientista do Nosso Estado” of FAPERj.
Contact: jcsmello@pesquisador.cnpq.br
Lidia Angulo Meza, Fluminense Federal University (UFF)

Lidia Angulo Meza graduated in Operations Research at the Universidad Nacional Mayor de San Marcos – San Marcos (UNMSM – Peru). Her post-graduation, masters and doctoral studies were both made in Production Engineering, main field in Operations Research at the Federal University of Rio de Janeiro, Brazil (COPPE/UFRJ). She is currently Head of the Production Engineering Department in the Volta Redonda Campus of the Federal Fluminense University (Universidade Federal Fluminense – UFF) and contributor to the Post Graduation in Production Engineering and Post Graduation in Computational Modeling from the same university. Dra. Angulo Meza has published articles in the areas of Data Envelopment Analysis and Linear Programming and Multiobjective and she has a Research Productivity Scholarship from the National Council for Scientific and Technological Development (Conselho Nacional de Desenvolvimento Científico e Tecnologico – CNPq).

 

Published
2010-08-09
How to Cite
Climaco, J. C., Soares de Mello, J. C., & Meza, L. (2010). A Study of Highways Performance with a Molp-Dea Model and an Interactive Tri-Criteria Linear Programming Package (Trimap). Brazilian Journal of Operations & Production Management, 7(1), 163-179. Retrieved from https://bjopm.emnuvens.com.br/bjopm/article/view/V7N1A8
Section
Articles