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  • ellipsoid algorithm  (1)
  • maximal efficient faces  (1)
  • 1980-1984  (2)
  • 1935-1939
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  • 1980-1984  (2)
  • 1935-1939
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 30 (1980), S. 353-381 
    ISSN: 1573-2878
    Keywords: Multiple objective linear programs ; maximal efficient faces ; algorithms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A method for generating the entire efficient set for a multiple objective linear program is developed. The method is based on two characterizations of maximal efficient faces. The first characterization is used to determine the set of maximal efficient faces incident to a given efficient vertex, and the second characterization ensures that previously generated maximal efficient faces are easily recognized (and not regenerated). The efficient set is described as the union of maximal efficient faces. An alternate implicit description of the efficient set as the set of all optimal vectors for a finite set of linear programs is also provided.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 43 (1984), S. 237-263 
    ISSN: 1573-2878
    Keywords: Geometric programming ; computational comparisons ; nonlinear programming ; ellipsoid algorithm ; generalized reduced gradient algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We study the performance of four general-purpose nonlinear programming algorithms and one special-purpose geometric programming algorithm when used to solve geometric programming problems. Experiments are reported which show that the special-purpose algorithm GGP often finds approximate solutions more quickly than the general-purpose algorithm GRG2, but is usually not significantly more efficient than GRG2 when greater accuracy is required. However, for some of the most difficult test problems attempted, GGP was dramatically superior to all of the other algorithms. The other algorithms are usually not as efficient as GGP or GRG2. The ellipsoid algorithm is most robust.
    Type of Medium: Electronic Resource
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