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An automated reference point-like approach for multicriteria shortest path problems

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Abstract

In this paper we introduce a method of analysis for the automated ordering and selection of solutions of a multicriteria shortest path model. The method is based on a reference point approach, where the paths in a specific priority region are ranked by non-decreasing order of a Chebyshev metric. In order to list paths according with this objective function a labelling algorithm is proposed. The developed method is applied in a video-traffic routing context. Computational results are presented and analysed, for randomly generated networks of significant dimension.

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Author information

Authors and Affiliations

  1. Faculdade de Economia da Universidade de Coimbra, Avenida Dias da Silva, 165, 3004-512, Coimbra, Portugal

    João C. N. Clímaco

  2. Instituto de Engenhana de Sistemas e Computadores — Coimbra, Rua Antero de Quental 199, 3000-033, Coimbra, Portugal

    João C. N. Clímaco, José M. F. Craveirinha & Marta M. B. Pascoal

  3. Departamento de Engenharia Electrotécnica e Computadores, Polo II da Universidade de Coimbra, Pinhal de Marrocos, 3030-290, Coimbra, Portugal

    José M. F. Craveirinha

  4. Departamento de Matemática, Polo I da Universidade de Coimbra, Apartado 3008, 3001-454, Coimbra, Portugal

    Marta M. B. Pascoal

Authors
  1. João C. N. Clímaco
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  2. José M. F. Craveirinha
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  3. Marta M. B. Pascoal
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Corresponding author

Correspondence to Marta M. B. Pascoal.

Additional information

João Carlos Namorado Clímaco is Full Professor at the Faculty of Economics of the University of Coimbra and President of the Scientific Committee of the INESC — Coimbra. He obtained the 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, in the past, Vice-President of ALIO — Latin Ibero American OR Association and Vice-President of the Portuguese OR Society. Actually is Member of the International Executive Committee of the International Society on Multiple Criteria Decision Making. He belongs to the Editorial Board of the following Scientific Journals: “Journal of Group Decision and Negotiation”, “Investigação Operacional” (Journal of the Portuguese OR Society), and ENGEVISTA (a Brazilian Journal). He is also member of the Editorial Board of the University of Coimbra Press. His current major interests of research are: multiple criteria decision aiding, multiobjective combinatorial problems, and management and planning of telecommunication networks.

José Manuel Fernandes Craveirinha is Full Professor in Telecommunications at the Department of Electrical Engineering Science of the University of Coimbra, Portugal, since 1997. He obtained the following degrees: undergraduate diploma in Electrical Engineering Science (E.E.S.) — Telecommunications & Electronics at IST, Lisbon Technical University, 1975; M.Sc. (1981) and Ph.D. in E.E.S at the University of Essex (UK) (1984) and “Agregado” (sim. to Doctor of Science) in E.E.S at the University of Coimbra (1996). Previous positions: Associate Professor and Assistant Professor at Coimbra Univ, Telecommunication R&D Engineer (CET-Portugal Telecom). He has coordinated a research group in Teletraffic Engineering & Network Planning at INESC-Coimbra R&D institute since 1986 and was director of this institute in 1994-99. He is author/co-author of more than 100 scientific/technical publications in teletraffic modelling, reliability analysis, and planning of telecommunication networks. His present interests are in traffic modelling and routing in Internet and multicriteria routing in multiservice networks.

Marta Margarida Braz Pascoal is Assistant Professor at the Mathematics Department of the Faculty of Science and Technology of the University of Coimbra. She obtained the undergraduate diploma in Mathematics — specialization in Computer Science at the University of Coimbra (1995), the Master of Science Degree in Applied Mathematics at the University of Coimbra (1998) and the Ph.D. in Mathematics — specialization in Applied Mathematics at the University of Coimbra (2005). Her current major interests of research are: ranking solutions of combinatorial problems and multi-objective combinatorial problems.

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Clímaco, J.C.N., Craveirinha, J.M.F. & Pascoal, M.M.B. An automated reference point-like approach for multicriteria shortest path problems. J. Syst. Sci. Syst. Eng. 15, 314–329 (2006). https://doi.org/10.1007/s11518-006-5015-5

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