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The multivariate models of the reserves control and their applications


  • Aleksandra Wojna

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

  • Aneta Klodzinska

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


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

Suggested Citation

  • Aleksandra Wojna & Aneta Klodzinska, 2005. "The multivariate models of the reserves control and their applications," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 2, pages 83-90.
  • Handle: RePEc:wut:journl:v:2:y:2005:p:83-90

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