Abstract
A mathematical model of the functioning of an accumulating bunker operating in the simplest transport system “conveyor-bunker-conveyor” has been developed. It was assumed thus, that time domains of outages and work of the above- and under-bunker conveyer lines are distributed on exponential laws. Based on the theory of two-phase Markov processes, a system of Kolmogorov equations is obtained with respect to the probabilities of finding the “conveyor-bunker-conveyor” system in various states. As a result of solving this system of equations, the dependence of the average carrying capacity of the system “conveyor-bunker-conveyor” on the volume of the bunker and the average cargo flow entering and unloading from the bunker is obtained. Based on the obtained dependence, the maximum volume of the accumulating bunker was determined at which the carrying capacity of the system “conveyor-bunker-conveyor” practically does not increase with increasing hopper volume.
Highlights
АККУМУЛИРУЮЩЕГО БУНКЕРА, РАБОТАЮЩЕГО В СИСТЕМЕ КОНВЕЙЕРНОГО ТРАНСПОРТА УГОЛЬНЫХ ШАХТ
A mathematical model of the functioning of an accumulating bunker operating in the simplest transport system “conveyor-bunker-conveyor” has been developed
That time domains of outages and work of the above- and under-bunker conveyer lines are distributed on exponential laws
Summary
АККУМУЛИРУЮЩЕГО БУНКЕРА, РАБОТАЮЩЕГО В СИСТЕМЕ КОНВЕЙЕРНОГО ТРАНСПОРТА УГОЛЬНЫХ ШАХТ На основании теории двухфазных марковских процессов получена система уравнений Колмогорова относительно вероятностей нахождения системы «конвейер-бункерконвейер» в различных состояниях. В результате решения этой системы уравнений получена зависимость средней пропускной способности системы «конвейер-бункер-конвейер» от объема бункера и средних грузопотоков, поступающего в бункер и разгружаемого из него.
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