Delays are a major nuisance to railway passengers. The extent to which a delay propagates,
and thus affects the passengers, is influenced by the assignment of rolling stock. We propose to
reschedule the rolling stock in such a way that the passenger delay is minimized and such that
objectives on passenger comfort and operational efficiency are taken into account. We refer to
this problem as the Passenger Delay Reduction Problem (PDRP). We propose two models for this
problem, which are based on two dominant streams of literature for the traditional Rolling Stock
Rescheduling Problem. The first model is an arc formulation of the problem, while the second
model is a path formulation. We test the effectiveness of these models on instances of Netherlands
Railways (NS). The results show that the rescheduling of rolling stock can significantly decrease
the passenger delays in the system. Especially allowing flexibility in the assignment of rolling
stock at terminal stations turns out to be effective in reducing the delays. Moreover, we show
that the arc formulation based model performs best in finding high-quality solutions within the
limited time that is available in the rescheduling phase
