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Use of the approximate method for solving the assignment problem

Author

Listed:
  • Marco Maria

    (Ivan Franko National University of Lviv)

  • Tsegelik Grigorii

    (Ivan Franko National University of Lviv)

Abstract

The object of research is the assignment problem, which consists in finding the minimum (or maximum) weight between the elements of two finite sets. An approximate method of solving the assignment problem is considered, which makes it possible to distribute the workers in such way so that the total costs in performing the work are minimal. Also, an algorithm is constructed to solve the task of assigning workers for work distribution, using the Hungarian method, where in a specific example, its use is shown. Three iterations are carried out, that is, one worker is relocated from work, after which more than one worker is assigned to work, for which no worker is assigned. Also, an approximate method to solve this problem is used and a concrete example is given. These algorithms allow to find the minimum costs when performing work by workers.

Suggested Citation

  • Marco Maria & Tsegelik Grigorii, 2017. "Use of the approximate method for solving the assignment problem," Technology audit and production reserves, 5(37) 2017, Socionet;Technology audit and production reserves, vol. 5(5(37)), pages 31-33.
    • Handle: RePEc:nos:itrzhq:16
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    File URL: http://journals.uran.ua/tarp/article/view/113285
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    More about this item

    Keywords

    approximate method; approximate solution; assignment problem;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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