A simple semi-Markov model of functioning of agricultural cleaning and transport system

The harvesting process in agriculture with transport provision is considered as the work of a two-element technical system consisting of a harvesting unit and a vehicle defined by the harvest-transport system (TCB). The functioning of such system is a causal change of its states. Transitions of the...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-10, Vol.1333 (3), p.32061
Main Authors: Ovchinnikova, N I, Kosareva, A V, Bonnet, V V, Eltochkina, E V
Format: Article
Language:English
Subjects:
Harvest
Harvesters
Harvesting
Markov chains
Markov processes
Physics
Potatoes
Random processes
Statistical analysis
Transportation systems
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Summary:The harvesting process in agriculture with transport provision is considered as the work of a two-element technical system consisting of a harvesting unit and a vehicle defined by the harvest-transport system (TCB). The functioning of such system is a causal change of its states. Transitions of the studied system from one state to another occur at random points in time due to the occurrence of failures of its elements for various reasons (technical, technological, operational, organizational, etc.). The distribution of the waiting time for the transition of a system from one state to another can be either exponential (that is, there is a pure Markov process with discrete states and continuous time), and any other (except exponential). The simplest semi-Markov model has been developed for the stationary mode of the system functioning, which leads to the final values of the probabilities of its states. A systematic, probabilistic-statistical approach and a graph-analytical apparatus of the theory of semi-Markova random processes were used. The obtained semi-Markov model of TCB operation was tested on potato harvesting using the KPK-2-01 potato harvester. The values of the probability-time characteristics of the model confirmed the correctness of the proposed method.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1333/3/032061