DETERMINATION OF OPTIMUM VOLUME OF ACCUMULATIVE BUNKER OPERATING IN CONVEYER TRANSPORT SYSTEM OF COAL MINES
Keywords:CONVEYOR TRANSPORT SYSTEM, ACCUMULATING BUNKER, CARRYING CAPACITY, MARKOV PROCESSES, OPTIMAL BUNKER VOLUME
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.
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