Title Stochastinių sistemų funkcionavimo aproksimavimas Markovo modeliais /
Translation of Title Approximation of stochastic systems’ dynamics by Markovian models.
Authors Mickevičius, Giedrius
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Pages 90
Keywords [eng] approximation with exponential phases ; modeling queueing systems ; modeling stock dinamics ; option pricing
Abstract [eng] Application of numerical methods with approximation allows to extend a class of systems represented by Markovian processes under investigation compared with analytical methods. So a goal was stated to create algorithms for modeling stochastic systems approximating them by Markovian models. To reach this goal the following tasks were solved: Analyze possibilities to approximate stochastic systems’ models by Markovian models; Create a multipurpose software that would calculate stationary probabilities for given system described in an event-based language; Apply created software for models of service systems and stock valuation. Created software is universal and easy-to-use for anyone that has at least basic knowledge in C++ language. This software was applied for modeling of service systems, for description of share price variability as Markovian process and for option pricing.
Type Master thesis
Language Lithuanian
Publication date 2007