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The multivariate models of the reserves control and their applications

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  • Aleksandra Wojna

    () (Katedra Metod Ilosciowych, Wydzial Ekonomii i Zarzadzania, Politechnika Koszalinska, Poland)

  • Aneta Klodzinska

    () (Katedra Metod Ilosciowych, Wydzial Ekonomii i Zarzadzania, Politechnika Koszalinska, Poland)

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    Abstract

    The multidimensional stock control that functions in a random Markov environment is considered. The mathematical formalization of this model was considered with the use of sums of the random variables defined on the Markov chains. The authors introduce a definition of risk function of the type of downside risk measures and find the explicit formulas for its determinations. The example of the application of these formulas is provided: the tasks of the reliability and optimal configuration for the queueing problem are regarded. The formulas defining the function by the system parameters were obtained

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    File URL: http://www.ioz.pwr.wroc.pl/boid/artykuly/2-2005/art-6-wojna.pdf
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    Bibliographic Info

    Article provided by Wroclaw University of Technology, Institute of Organization and Management in its journal Operations Research and Decisions.

    Volume (Year): 2 (2005)
    Issue (Month): ()
    Pages: 83-90

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    Handle: RePEc:wut:journl:v:2:y:2005:p:83-90

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    Keywords: stock control; multidimensional model; risk function; Markov chain; queueing system;

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