Abstract
The operational stock of signals and interlockings is necessary to ensure the uninterrupted operation of the electric interlocking systems in the event of their component failure. The existing standards for the composition and number of signals and interlockings available in the operational stock of railway stations are not mathematically based. It is considered the task of justifying the number of signals and interlockings in the operational stock of railway stations, and the factors affecting its quantity are indicated. It is proposed the mathematical model for rationing the amount of equipment necessary to ensure the uninterrupted operation of station signals and interlocking systems with a specified probability. The process of using and replenishment of reserve equipment is described using the the single-channel Markov queuing system model with a limited queue. The proposed probabilistic methodology approbation for the rationing of the amount of reserve equipment was carried out at the stations of the two Belarusian Railway divisions totaling to 58 stations equipped with relay and computer-based electric interlocking. It is shown the efficiency of the calculated amount of equipment in comparison with the existing values.
Highlights
It is stored the stock of relay and other electronic equipment operated at a station (SPTA – spare parts, tools and accessories)
For stations equipped with relay electric interlocking (EL), there are no standards for the number of spare parts, and, their actual quantity was established historically and approved at a regulatory level
X1 is the quantity of spare equipment according to the existing standard; Ts is the stock replenishment average time, hour; X2 is the amount of spare equipment according to the proposed mathematical model
Summary
It is stored the stock of relay and other electronic equipment operated at a station (SPTA – spare parts, tools and accessories) This stock is needed to ensure uninterrupted operation of signals and interlocking systems in case of their component failure. For stations equipped with computer-based interlocking (CBI), the number of SPTA, in accordance with the documents [1, 2], has to be at least 10% of the total amount of the used equipment of each type This standard incorrectly (only linearly) takes into account the amount of equipment in use and does not take into account: – equipment failure rate; – possibility and efficiency of stock replenishment. At a station there can be operated 10 impulse reed relays with a rectifier (plus 1 relay at stock) and 200 highly reliable neutral small-sized plug-in relays (plus 20 relays at stock). The most important thing is that the standard of the number of signals and interlockings given in [1, 2] and available in the operational stock of the railway stations of Belarusian Railway is not justified on the basis of the predetermined probability of SPTA absence
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