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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 48 (1986), S. 303-313 
    ISSN: 1573-2878
    Keywords: Global optimization ; test problems ; concave minimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Construction of problems with known global solutions is important for the computational testing of constrained global minimization algorithms. In this paper, it is shown how to construct a concave quadratic function which attains its global minimum at a specified vertex of a polytope inR n+k. The constructed function is strictly concave in the variablesx ∈R n and is linear in the variablesy ∈R k. The number of linear variablesk may be much larger thann, so that large-scale global minimization test problems can be constructed by the methods described here.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of global optimization 5 (1994), S. 325-332 
    ISSN: 1573-2916
    Keywords: Global optimization ; stochastic methods ; deterministic methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For constrained concave global minimization problems, two very different solution techniques have been investigated. The first such method is a stochastic mulitstart approach which typically finds, with high probability, all local minima for the problem. The second method is deterministic and guarantees a global minimum solution to within any user specified tolerance. It is the purpose of this paper to make a careful comparison of these two methods on a range of test problems using separable concave objectives over compact polyhedral sets, and to investigate in this way the advantages and disadvantages of each method. A direct computational comparison, on the same set of over 140 problems, is presented.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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