Optimal Scheduling of repair for multiple bridges using an Geometric Brownian Motion Model

Abstract

In this study, we propose a new method that apply a degradation process using the geometric Brownian motion process to the bridge maintenance. The merit to introduce the geometric Brownian motion process, we are able to consider the degradation continuously, in contrast to the hazard models using the Markov chain. We formulate the optimal scheduling model which maximizes the whole reliability of multiple bridges by using the probability density function lead from the model. It has a potential to be a guideline of scheduling for bridge inspection and repairing them which priorities are difficult to determine.