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Analysis of Trends in Distance Metric Optimisation Modelling for Operational Research and Soft Computing

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Book cover Multi-Objective Programming and Goal Programming

Part of the book series: Advances in Soft Computing ((AINSC,volume 21))

Abstract

This paper provides a commentary and some analysis on recent advances in the field of distance metric optimisation, with particular reference to the place of distance metric optimisation within the overall disciplines of operational research and soft computing. The trend of integration and combination with other techniques is examined, with particular reference to the analytical hierarchy method, meta-heuristic methods, and data mining. Finally, some further thoughts on good modelling practice for distance metric optimisation models are offered.

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References

  1. Baykasoglu A (2001) Goal programming using multiple objective tabu search, Journal Of The Operational Research Society, 52 (12), 1359–1369

    Article  MATH  Google Scholar 

  2. Bryson. N (1995) A goal programming method for generating priority vectors, Journal of the Operational Research Society, 46 (5), 641–648.

    MATH  Google Scholar 

  3. Charnes A, Cooper WW, Ferguson R (1955) Optimal estimation of executive compensation by linear programming, Management Science, 1, 138–151.

    Article  MathSciNet  MATH  Google Scholar 

  4. Cooper WW, Lelas V, Sueyoshi, T (1997) Goal programming models and their duality relations for use in evaluating security portfolio and regression relations, European Journal of Operational Research, 98, 431–443.

    Article  MATH  Google Scholar 

  5. Despotis DK (1996) Fractional minmax goal programming: A unified approach to priority estimation and preference analysis in MCDM, Journal Of The Operational Research Society, 47 (8): 989–999.

    MATH  Google Scholar 

  6. Ganjavi 0, Aouni B, Wang Z (2002) Technical note on balanced solutions in goal programming, compromise programming and reference point method, Journal Of The Operational Research Society, 53 (8): 927–929

    Article  Google Scholar 

  7. Gass SI (1987) A process for determining priorities and weights for large scale goal programmes, Journal of the Operational Research Society, 37, 779–785.

    Google Scholar 

  8. Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning, Addison Wesley Longman, Reading, MA. Pages 185–197.

    Google Scholar 

  9. Ignizio JP (1982) Linear programming in single and multiple objective systems, Prentice Hall, Englewood Cliffs, NJ.

    Google Scholar 

  10. Islam R, Biswal MP, Alam SS (1997) Preference programming and inconsistent interval judgments, European Journal Of Operational Research, 97 (1): 53–62.

    Article  MATH  Google Scholar 

  11. Jones DF(1995) The design and development of an intelligent goal programming system, Ph.D.Thesis,University of Portsmouth, UK.

    Google Scholar 

  12. Jones DF, Tamiz M (2002) Goal programming in the period 1990–2000, in Multiple criteria optimization state of the art annotated Bibliographic surveys, M. Erghott X. Gandibleux (eds.) Kluwver.

    Google Scholar 

  13. Jones DF., SK. Mirrazavi, and Tamiz M(2002) Multi-Objective meta-heuristics: an overview of the current state-of-the art, European Journal of Operational Research, 137, 1–9.

    Google Scholar 

  14. Michalewicz Z (1996) Genetic Algorithms + Data Structures = Evolution Structures, Springer-Verlag, Berlin, pages 80–93.

    Google Scholar 

  15. SK Mirrazavi, DF Jones, and M. Tamiz (2003) MultiGen: an integrated multiple-objective solution system, to appear in Decision Support Systems.

    Google Scholar 

  16. Ogryczak W (2001) Comments on Romero C, Tamiz M and Jones DF (1998). Goal programming, compromise programming and reference point method formulations: Linkages and utility interpretations, Journal Of The Operational Research Society, 52 (8): 960–962.

    Article  Google Scholar 

  17. Romero C (2001) Extended lexicographic goal programming: a unifying approach, Omega-International Journal Of Management Science, 29 (1): 63–71.

    Article  Google Scholar 

  18. Romero C, Tamiz M, Jones DF (1998) Goal programming, compromise programming and reference point method formulations: linkages and utility interpretations, Journal Of The Operational Research Society, 49 (9): 986–991.

    MATH  Google Scholar 

  19. T.L. Saaty (1977) A Scaling Method for Priorities in Hierarchical Structures, Journal of Mathematical Psychology, 15 (3), 234–281.

    Article  MathSciNet  MATH  Google Scholar 

  20. Stain A (1997) Nontraditional approaches to statistical classification: Some perspectives on lv norm methods’, Annals of Operations Research, 74, 1–36.

    Article  MathSciNet  Google Scholar 

  21. Sueyoshi, T, Sekitani K (1998) Mathematical properties of least absolute value estimation with serial correlation, Asia-Pacific Journal of Operational Research, 15, 75–92.

    MathSciNet  MATH  Google Scholar 

  22. Tamiz, M, Jones, DF(1996) Goal Programming and Pareto Efficiency, Journal of Information and Optimization Sciences, 17, 291–307.

    Google Scholar 

  23. Tamiz, M and Jones DF (1997) An example of good modelling practice in goal programming: Means for overcoming incommensurability, Lecture notes in Economics and Mathematical Systems, R. Caballero, F. Ruiz(Eds), Springer, 455, 29–37.

    Google Scholar 

  24. Uria MVR, Caballero R, Ruiz F, Romero C (2002) Meta-goal programming, European Journal Of Operational Research, 136 (2): 422–429.

    Article  MATH  Google Scholar 

  25. Yu PL (1973) A class of solutions for group decision problems, Management Science, 19, 936–946.

    Article  MATH  Google Scholar 

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Jones, D.F., Tamiz, M. (2003). Analysis of Trends in Distance Metric Optimisation Modelling for Operational Research and Soft Computing. In: Multi-Objective Programming and Goal Programming. Advances in Soft Computing, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36510-5_2

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  • DOI: https://doi.org/10.1007/978-3-540-36510-5_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00653-4

  • Online ISBN: 978-3-540-36510-5

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