Simultaneous schedule of trains and track maintenance according to stochastic blockage time

Regarding the railway infrastructures, planning for track maintenance is a challenging task given coordination required between train traffic and operations. In this paper, using stochastic mathematical programming, we have investigated simultaneous scheduling of trains operations single-track line to minimise both travel time duration. The uncertainty in blockage duration considered model reduce impact unexpected delays proposed also considers practical aspects, which been less addressed previous studies regarding maintenance. We reformulated problem as its deterministic equivalent facilitate solutions realistic sizes. computational result obtained real-world shows that can efficiently find suggest optimal at different confidence levels. timetable comparison on heavily utilised has evaluated.