DOI 10.17586/0021-3454-2019-62-1-40-49
UDC 004.056.53
CORRECTNESS OF MARKOV MODELS WITH DISCRETE STATES AND CONTINUOUS TIME
ITMO University, Saint Petersburg, 197101, Russian Federation; OOO «Scientific Production Enterprise «Information technologies in business»; postgraduate; development manager
A. Y. Shcheglov
ITMO University, Saint Petersburg, 197101, Russian Federation; OOO «Scientific Production Enterprise «Information technologies in business»; Professor; General Director
Read the full article
Abstract. Questions of correctness of Markov models with discrete states and continuous time characterized by independence of input random events are investigated. It is proved that the countable model is correct if it realizes the requirements formulated in the work. Requirements are formulated and approaches to the transformation of the accounting model into a correct final model with and without losses are substantiated.
Keywords: Markov process, model, correctness, requirements, modeling of systems with and without losses, stationary input stream of random events, probabilistic rarefaction of input stream between system states
References:
References:
- Venttsel' E.S. Issledovanie operatsiy. Zadachi, printsipy, metodologiya (Operations Research. Objectives, Principles, Methodology), Moscow, 2007. (in Russ.)
- Aliev T.I. Osnovy modelirovaniya diskretnykh sistem (Bases of Modeling of Discrete Systems), St. Petersburg, 2009.
- Polovko A.M., Gurov S.V. Osnovy teorii nadezhnosti (Bases of the Theory of Reliability), St. Petersburg, 2006, 704 р. (in Russ.)
- Shcheglov A.Yu., Shcheglov K.A. Zashchita informatsii: osnovy teorii: uchebnik dlya bakalavriata i magistratury (Information Protection: Fundamentals of Theory: Textbook for Bachelor's and Master's Degrees), Moscow, 2017. (in Russ.)
- Pshenichnikov A.P. Teoriya teletrafika: uchebnoye posobiye dlya studentov vuzov (The Theory of Teletraffic: Manual for University Students), Moscow, 2017. (in Russ.)
