THE CALCULATION OF DISCRETE STATES PROBABILITY OF SYSTEM WITH THREE UNITS OF HARVESTING TECHNIQUES
DOI:
https://doi.org/10.15587/1729-4061.2013.6603Keywords:
project management, configuration, discrete states, intensities of rejections.Abstract
The given article is dedicated to the improvement of determination method of the efficiency of functioning of the system with discrete states. It is offered the application of Markov processes for the determination of appropriate states probability, in which the system can be.
The model example is considered. In particular, the system composed of three units of harvesting techniques is considered. The states of the corresponding system are being analyzed. The graph of the states is made up. The probability of state i is the probability of the fact that the system will be in the state Si in the instant t. The state probabilities can be found as time functions. For this the system of eight differential equations with eight unknown functions is obtained.
The intensities of events flow appear in the system. They cause the rejection of unit i of harvesting techniques and the intensities of events flow after “finishing of repairing” of unit i of harvesting techniques. The intensities of rejections as time function are considered.
The system is solved using numerical methods.
The probabilities of finding the system in the discrete states are calculated. The tabulated solution functions and their graphs are given. It is shown how the probabilities of states depending on time change.
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