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Heuristics for Balancing Turbine Fans

Author

Listed:
  • Samir V. Amiouny

    (1 LOG Inc., 1080 Linda Vista Avenue, Mountain View, California 94043)

  • John J. Bartholdi

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

  • John H. Vande Vate

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

Abstract

We develop heuristics for a problem that models the static balancing of turbine fans: load point masses at regularly spaced positions on the periphery of a circle so that the residual unbalance about the center---which corresponds to the axis of rotation of the fan---is as small as possible. We give worst-case guarantees for our heuristics in terms of residual unbalance. For the case of an even number of blades, we show that one of our heuristics provides the same worst-case guarantee (with respect to the ideal of perfect balance) as does total enumeration. Furthermore, computational tests show that our heuristics are orders of magnitude faster and not far from optimum on average.

Suggested Citation

  • Samir V. Amiouny & John J. Bartholdi & John H. Vande Vate, 2000. "Heuristics for Balancing Turbine Fans," Operations Research, INFORMS, vol. 48(4), pages 591-602, August.
    • Handle: RePEc:inm:oropre:v:48:y:2000:i:4:p:591-602
    DOI: 10.1287/opre.48.4.591.12413
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    References listed on IDEAS

    as
    1. Mosevich, Jack, 1986. "Balancing hydraulic turbine runners--A discrete combinatorial optimization problem," European Journal of Operational Research, Elsevier, vol. 26(2), pages 202-204, August.
    2. Fathi, Yahya & Ginjupalli, Krishna K., 1993. "A mathematical model and a heuristic procedure for the turbine balancing problem," European Journal of Operational Research, Elsevier, vol. 65(3), pages 336-342, March.
    3. Laporte, Gilbert & Mercure, Helene, 1988. "Balancing hydraulic turbine runners: A quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 35(3), pages 378-381, June.
    Full references (including those not matched with items on IDEAS)

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