The Vehicle Scheduling Problem consists of optimally linking time-tabled trips producing paths, so that all the trips in the same path form a feasible schedule for a vehicle. In this particular problem we have one depot which serves different type of vehicles (corresponding to different physical characteristics). To each trip corresponds a subset of vehicles types,
that can perform the trip. Hence, a path performed by a vehicle of type k must include only trips that can be operated by a vehicle of type k. This problem is known to be NP-hard, and, naturally, heuristics seem to be a reasonable way for tackling real life problems. Section 2 refers to the mathematical models that we have studied to this problem. In section 3 we present computational experience. At the last section we make some conclusions.