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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Applied mathematics & optimization 6 (1980), S. 221-240 
    ISSN: 1432-0606
    Keywords: Integer programming ; Backtrack algorithm ; Combinatorics ; Radio frequency intermodulation interference CR Categories: 3.24, 5.30, 5.40
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Two or more radio signals, transmitted from a small platform (e.g., a ship, satellite, or airplane, etc.), tend to produce an intermodulation product which could distort a receive signal. The intensity of intermodulation interference due to a given intermodulation frequency is known to be closely related to the lowest order, or simply the order, of the intermodulation product which can be found by solving a single constraint integer program with variables unrestricted in sign, where coefficients of the constraint equation correspond to frequencies. Two variations of backtrack, or search enumeration, algorithms, called the primal and dual backtrack algorithms, are developed to find the order of intermodulation. Extensive computational experience with these algorithms, reflecting data from naval fleet communication scenarios and potential ramifications, are given together with another application of the dual algorithm.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Acta informatica 13 (1980), S. 379-382 
    ISSN: 1432-0525
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Summary This paper shows that the Blankinship algorithm, originally proposed to find the greatest common divisor of several integers and a solution of the associated linear diophantine equation, can be used to find the general solution of the equation. This yields a more efficient method to find the general solution than the one proposed by Bond. The modification of Blankinship's algorithm to avoid generating vectors with huge component values is also proposed.
    Type of Medium: Electronic Resource
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  • 3
    Book
    Book
    Amsterdam u.a. :North-Holland,
    Title: Foundations of integer programming
    Author: Salkin, Harvey M.
    Contributer: Mathur, Kamlesh
    Publisher: Amsterdam u.a. :North-Holland,
    Year of publication: 1989
    Pages: 776 S.
    Type of Medium: Book
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