“…The main examples of these models are the following: (i) simulation models (see Bergmark (1996), König (2001), Middelkoop and Bouwman (2000), and Wahlborg (1996)), (ii) Max-Plus models (see Goverde (1998), De Kort (2000), and Soto Y Koelemeijer et al 2000), and (iii) analytical models (see Carey (1999), Higgins and Kozan (1998), and Huisman and Boucherie (2001)). Other relevant literature on stochastic methods for the improvement of railway timetables is Hallowell and Harker (1998), Schwanhäußer (1994), Mühlhans (1990), and Petersen and Taylor (1982). However, a drawback of the existing models is that they are mainly evaluation models and that, based on these models, optimization of a timetable can only be achieved by trial-and-error.…”