“…Furuta et al [16] used multi-objective optimization techniques to evaluate bridge maintenance actions that minimize the life-cycle cost associated with both maintenance and seismic risk to a Japanese bridge pier. Cho et al [17] has compared the effectiveness of retrofit measures such as elastomeric bearings and restrainer cables on the basis of minimum life-cycle cost, primarily based on first order reliability methods for probabilistic seismic damage analysis and the use of 2-dimensional analytical models of steel bridges in Korea.…”