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  • 1
    Electronic Resource
    Electronic Resource
    Analysis of a class of fractional programming problems (1989)
    Springer
    Mathematical programming 43 (1989), S. 329-347 
    Details
    ISSN: 1436-4646
    Keywords: Fractional programming ; c-programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We propose a solution strategy for fractional programming problems of the form max x∈x g(x)/ φ(u(x)), where the functionφ satisfies certain convexity conditions. It is shown that subject to these conditions optimal solutions to this problem can be obtained from the solution of the problem max x∈x g(x) + λu(x), whereλ is an exogenous parameter. The proposed strategy combines fractional programming andc-programming techniques. A maximal mean-standard deviation ratio problem is solved to illustrate the strategy in action.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01582297
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The simplex method as a global optimizer: A c-programming perspective (1994)
    Springer
    Journal of global optimization 4 (1994), S. 89-109 
    Details
    ISSN: 1573-2916
    Keywords: Linear programming ; simplex method ; c-programming ; composite functions ; global optimization ; dc problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we give a brief account of the important role that the conventional simplex method of linear programming can play in global optimization, focusing on its collaboration with composite concave programming techniques. In particular, we demonstrate how rich and powerful the c-programming format is in cases where its parametric problem is a standard linear programming problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01096536
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Solving a class of multiplicative programming problems via c-programming (1995)
    Springer
    Journal of global optimization 6 (1995), S. 313-319 
    Details
    ISSN: 1573-2916
    Keywords: Multiplicative objective functions ; c-programming ; parametric programming ; global optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this note we show that many classes of global optimization problems can be treated most satisfactorily by classical optimization theory and conventional algorithms. We focus on the class of problems involving the minimization of the product of several convex functions on a convex set which was studied recently by Kunoet al. [3]. It is shown that these problems are typical composite concave programming problems and thus can be handled elegantly by c-programming [4]–[8] and its techniques.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01099467
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    Paper (German National Licenses)
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  • 4
    Book
    Book
    Dynamic programming; 154 (1992)
    New York u.a. :Marcel Dekker,
    Details
    Title: Dynamic programming; 154
    Author: Sniedovich, Moshe
    Publisher: New York u.a. :Marcel Dekker,
    Year of publication: 1992
    Pages: 410 S.
    Series Statement: Pure and applied mathematics 154
    Type of Medium: Book
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    Zuse Institute Berlin get availability status
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