“…In the second research branch, the timetabling problem is planned for a 24 hour period, without considering cycles. In this case, the problem is typically formulated as a multicommodity flow problem Schlechte, 2007, 2008;Caprara et al, 2001Caprara et al, , 2002Caprara et al, , 2006. Further papers deal with a different but related problem, i.e., the problem of inserting additional trains in an existing timetable (Burdett and Kozan, 2009;Cacchiani et al, 2010;Flier et al, 2009;Ingolotti et al, 2004;Lova et al, 2007;Tormos et al, 2008), mostly for scheduling additional freight trains.…”