Cite the paper
Victor Kravets, Vladimir Kravets, Olexiy Burov (2016). Process Modeling for Energy Usage in “Smart House” System with a Help of Markov Discrete Chain. Mechanics, Materials Science & Engineering, Vol 7, pp. 85-96, doi:10.13140/RG.2.2.34948.32643
Authors: Victor Kravets, Vladimir Kravets, Olexiy Burov
ABSTRACT. Method for evaluating economic efficiency of technical systems using discrete Markov chains modelling illustrated by the system of “Smart house”, consisting, for example, of the three independently functioning elements. Dynamic model of a random power consumption process in the form of a symmetrical state graph of heterogeneous discrete Markov chain is built. The corresponding mathematical model of a random Markov process of power consumption in the “smart house” system in recurrent matrix form is being developed. Technique of statistical determination of probability of random transition elements of the system and the corresponding to the transition probability matrix of the discrete inhomogeneous Markov chain are developed. Statistically determined random transitions of system elements power consumption and the corresponding distribution laws are introduced.
The matrix of transition prices, expectations for the possible states of a system price transition and, eventually, the cost of Markov process of power consumption throughout the day.
Keywords: smart house, Markov discrete chains, possible states, transition probabilities matrix, transition costs matrix, mathematical expectations of transitions costs, cost of Markov random process
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