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Quadratic Pareto Race

In: New Frontiers Of Decision Making For The Information Technology Era

Author

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  • PEKKA KORHONEN

    (Helsinki School of Economics and Business Administration, Department of Economics and Management Science, P.O. Box 1210, 00101 Helsinki, FINLAND)

  • GUANG YUAN YU

    (Helsinki School of Economics and Business Administration, Department of Economics and Management Science, P.O. Box 1210, 00101 Helsinki, FINLAND)

Abstract

This paper presents a dynamic and visual “free-search” type of a decision support system - Quadratic Pareto Race, which enables a DM freely search any part of the nondominated frontier of a multiple objective quadratic-linear programming problem by controlling the speed and direction of motion. The values of the objective functions are presented in a numeric form and as bar graphs on a display. The implementation of Quadratic Pareto Race is based on the theoretical foundations developed by Korhonen and Yu 9. The system is implemented on a microcomputer and illustrated using a numerical example.

Suggested Citation

  • Pekka Korhonen & Guang Yuan Yu, 2000. "Quadratic Pareto Race," World Scientific Book Chapters, in: Yong Shi & Milan Zeleny (ed.), New Frontiers Of Decision Making For The Information Technology Era, chapter 7, pages 123-142, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812792907_0007
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    References listed on IDEAS

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    1. Ilkka Kananen & Pekka Korhonen & Jyrki Wallenius & Hannele Wallenius, 1990. "Multiple Objective Analysis of Input-Output Models for Emergency Management," Operations Research, INFORMS, vol. 38(2), pages 193-201, April.
    2. Pekka Korhonen & Jyrki Wallenius, 1988. "A pareto race," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(6), pages 615-623, December.
    3. Korhonen, Pekka & Yu, GuangYuan, 1997. "A reference direction approach to multiple objective quadratic-linear programming," European Journal of Operational Research, Elsevier, vol. 102(3), pages 601-610, November.
    4. Karaivanova, Jasmina & Korhonen, Pekka & Narula, Subhash & Wallenius, Jyrki & Vassilev, Vassil, 1995. "A reference direction approach to multiple objective integer linear programming," European Journal of Operational Research, Elsevier, vol. 81(1), pages 176-187, February.
    5. Korhonen, Pekka & Yu, GuangYuan, 1998. "On computing objective function values in multiple objective quadratic-linear programming," European Journal of Operational Research, Elsevier, vol. 106(1), pages 184-190, April.
    6. Korhonen, Pekka J. & Laakso, Jukka, 1986. "A visual interactive method for solving the multiple criteria problem," European Journal of Operational Research, Elsevier, vol. 24(2), pages 277-287, February.
    7. Korhonen, Pekka & Soismaa, Margareta, 1988. "A multiple criteria model for pricing alcoholic beverages," European Journal of Operational Research, Elsevier, vol. 37(2), pages 165-175, November.
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    Cited by:

    1. Yadav, Deepanshu & Nagar, Deepak & Ramu, Palaniappan & Deb, Kalyanmoy, 2023. "Visualization-aided multi-criteria decision-making using interpretable self-organizing maps," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1183-1200.

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    More about this item

    Keywords

    Multiple Criteria; Decision Making; Decision Support Systems; Tradeoff Analysis; System Engineering; Linear Programming;
    All these keywords.

    JEL classification:

    • M15 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - IT Management
    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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