The types of deterioration of public utilities are multiple. It is often the case that the type, whose levels of deterioration are mostly progressed among others, is reported as a representative one in the inspections operated in the real world. In this paper, the deterioration processes are supposed to be subject to Markov processes, and the mechanisms that the representative types of the deterioration processes are selected through the competitions among the undergoing processes are formulated by the competitive hazard model. Moreover, the types of the cracks on the expressways are categorized into three types including lengthways, side ways, and length-and-side ways cracks. Based upon the empirical dataset, the model is estimated to investigate the impacts of road structure, pavement characteristics, and highway environment upon he progressions rates of cracks on pavement.
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