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Journal of Automation and Information Sciences

 

ISSN for PRINT: 1064-2315

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$2573.00

Issues per year:

12

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2005, Volume37

Issue 8

  77 pages  

DOI: 10.1615/J Automat Inf Scien.v37.i8   

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  • Solving the Problem of Linear Programming on the Basis of Multiplex Approach
  • Mikhail M. Lychak
    Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kyiv, Ukraine

    Vladimir N. Shevchenko
    Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kyiv, Ukraine

    Nina P. Tsaruk
    Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kiev, Ukraine


    ABSTRACT

    A technique of solving linear programming (LP) problem on a set of arguments is suggested. The set is prescribed by a system of linear inequalities. The technique uses construction of a finite sequence of simplified estimates in the form of cones by goal-oriented adjunction and rejection of corresponding half-spaces. An iterative algorithm of enumerating of constraints, which are adjuncted, is substantiated and derived. A new software module for solving LP problem in MATLAB environment is created. Its comparison with a standard MATLAB function (linprog) demonstrated significant advantages both in quick-action (not less, than eight times faster) and in possibility of solving large-dimension LP problems (more, than one hundred variables).

    DOI: 10.1615/J Automat Inf Scien.v37.i8.30

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