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Synthesis of a Complex of Mathematical Models of Excavator Use Processes over Time

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Abstract:

Comparison of experimental and calculated data of the excavator utilization factor in time (Ku) according to the current methods showed the absence of even a correlation between them r = 0.17, which indicates the inexpediency of using the basic models that are the basis of these methods. The reason for the low correspondence is that the excavation processes are complex random dynamic non-stationary processes, and the models that are the basis of almost all current methods are simple deterministic static models that cannot successfully operate at the level required for such processes. In the work with the application of the theory of mass service systems, a set of probabilistic dynamic non-stationary models in the form of Markov-Kolmogorov equations was developed to describe the probability of states, both for each of the selected subsystems of downtime of excavation works, and for the “excavator face” system as a whole. Comparison of the actual values of the coefficient (Ku) obtained as a result of the experiment allows us to recommend the developed set of models as the basis of the methodology for calculating Ku (r = 0.70).

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Periodical:

Advances in Science and Technology (Volume 172)

Pages:

248-256

DOI:

https://doi.org/10.4028/p-mqB6ko

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Online since:

January 2026

Authors:

Anatolliy Kryuchkov, Mykola Serhiienko*, Victor Rozen, Pavlo Rozen

Keywords:

Classification, Downtime, Markov Processes, Methodology, Models, Probability, Quarry, Stochastic Equations, Use in Time

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© 2026 Trans Tech Publications Ltd. All Rights Reserved

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