Monte Carlo simulation of train queuing system in uranium mine shaft station based on MATLAB

For purpose of making a thorough study of regularity of radon concentration distribution in uranium mine shaft station, a model for characteristic analysis on train queuing system in uranium mine shaft station, based on Queuing Theory, was worked out, aiming at the randomness of loaded trains' queuing up for hoisting and its correlation with the quality of intake air. Firstly, the physical model of train queuing system was determined by taking typical uranium mine as example. Then, several indispensable presupposes were given before confirming the analytical algorithm to train queuing system. Finally, it proved not to be an easy task if attempting to obtain the queuing system characteristic index by simply using of classical queuing models or by making a direct deducing according to related definitions in Queuing Theory in consideration of the specificity in uranium mine. Thus, an M-file was established to achieve simulation of the queuing process by adopting of MATLAB-based Monte Carlo method in the light of determined algorithm. The analysis of application example showed that results obtained by this method were basically in line with the engineering practice, and the relative errors between theoretical results and measured results took on degressive tendency along with the increase of simulation times. Specially, both of the relative errors were below 8 % when simulation times exceeded 300. (authors)