Statistical Process Control Applied at Level Crossing Incidents
Keywords:
Control chart, time between events, statistical process control, control limits, level crossing safetyAbstract
Given the increased importance of accidents at level crossing (LC) and the enormous damage caused by these accidents, it will be useful to question the safety measures at LC. Different scenarios are studied to compare the performance of control charts (CC) for detecting upward shifts of the quotient between the magnitude X and the time between events (TBE) which corresponds to a process’s deterioration: TBE distribution is exponential and for X two situations were retained (normal and Gamma distribution). The database covering the period 2009-2018 is obtained from the Tunisian railway company and the objective is to specify the best CC to monitor the situation at LC’s. The T distribution CC alone as well as that relative to X distribution alone does not make it possible to detect overruns and therefore does not lead to effective control of the situation at the LC. Unlike some previous research, the CC corresponding to the quotient X & T also does not allow rapid detection of overshoots if T is considered exponential and X is assumed to be normal. The objective of setting up a CC that makes it possible to control the situation at the concerned LC is achieved in the case where T is exponential and X follows a gamma distribution. In this case, the CC corresponding to the quotient (Q) makes it possible to detect overshoots quickly.
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