2008 | OriginalPaper | Buchkapitel
Application of Markov Drift Processes to Logistical Systems Modeling
verfasst von : Mikhail Postan
Erschienen in: Dynamics in Logistics
Verlag: Springer Berlin Heidelberg
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The activity of logistical systems occurs often under uncertainty (demand fluctuation, irregularity of transport units movement, unreliable equipment, etc.). Therefore, it is naturally to apply for their modeling different types of stochastic processes, in particular the Markov drift processes (with continuous sample paths). The phase space of Markov drift processes is direct product
D×C
, where
D
is a finite or denumerable set,
C
is a continuous set,
C
⊆
R
n
+
. In our paper, a number of examples of Markov drift processes application to modeling the different kinds of logistical systems (production lines, transportation systems, supply chains, etc.) is given.