The automobile scheduling problem, arising in public transport bus companies, addresses the task of assigning buses to cowl a given set of timetabled journeys with consideration of practical requirements, similar to a number of depots and car varieties in addition to depot capacities. An optimum schedule is characterized by minimal fleet size and minimal operational prices together with costs for unloaded journeys and ready time. This paper discusses the multi-depot, multi-car-sort bus scheduling downside (MDVSP), involving a number of depots for vehicles and totally different car varieties for timetabled trips. We use time-house-based mostly as an alternative of connection-primarily based networks for MDVSP modeling. This results in a vital size discount of the corresponding mathematical fashions compared to well-known connection-primarily based network move or set partitioning models. The proposed modeling method allows us to unravel actual-world problem cases with hundreds of scheduled trips by direct software of standard optimization software. To our knowledge, the biggest issues that we solved to optimality could not be solved by any present exact method. The introduced research outcomes have been developed in co-operation with the supplier of transportation planning software program PTV AG. A software component to support planners in public transport was designed and applied in context of this co-operation as nicely.
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