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  • 1
    Electronic Resource
    Electronic Resource
    A new technique for generating quadratic programming test problems (1993)
    Springer
    Mathematical programming 61 (1993), S. 215-231 
    Details
    ISSN: 1436-4646
    Keywords: Test problem generation ; quadratic programming ; global optimization ; large-scale optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract This paper describes a new technique for generating convex, strictly concave and indefinite (bilinear or not) quadratic programming problems. These problems have a number of properties that make them useful for test purposes. For example, strictly concave quadratic problems with their global maximum in the interior of the feasible domain and with an exponential number of local minima with distinct function values and indefinite and jointly constrained bilinear problems with nonextreme global minima, can be generated. Unlike most existing methods our construction technique does not require the solution of any subproblems or systems of equations. In addition, the authors know of no other technique for generating jointly constrained bilinear programming problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01582148
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Bilevel and multilevel programming: A bibliography review (1994)
    Springer
    Journal of global optimization 5 (1994), S. 291-306 
    Details
    ISSN: 1573-2916
    Keywords: Bilevel (two level) ; three level and multilevel programming ; static Stackelberg problems ; hierarchical optimization ; minimax problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper contains a bibliography of all references central to bilevel and multilevel programming that the authors know of. It should be regarded as a dynamic and permanent contribution since all the new and appropriate references that are brought to our attention will be periodically added to this bibliography. Readers are invited to suggest such additions, as well as corrections or modifications, and to obtain a copy of the LaTeX and BibTeX files that constitute this manuscript, using the guidelines contained in this paper. To classify some of the references in this bibliography a short overview of past and current research in bilevel and multilevel programming is included. For those who are interested in but unfamiliar with the references in this area, we hope that this bibliography facilitates and encourages their research.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01096458
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Generation of disjointly constrained bilinear programming test problems (1992)
    Springer
    Computational optimization and applications 1 (1992), S. 299-306 
    Details
    ISSN: 1573-2894
    Keywords: Bilinear programming ; test problem generation ; indefinite quadratic programming ; bimatrix games
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This paper describes a technique for generating disjointly constrained bilinear programming test problems with known solutions and properties. The proposed construction technique applies a simple random transformation of variables to a separable bilinear programming problem that is constructed by combining disjoint low-dimensional bilinear programs.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00249639
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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