Train routing selection for the real-time railway traffic management problem Marcella Samà, A . D’Ariano, D. Pacciarelli, P . Pellegrini, J. Rodriguez Department of Engineering
Junior Consulting Dipartimento di Ingegneria Introduction real-time Railway Traffic Management Problem (rtRTMP) Aims to minimize the delay propagation using timing, ordering and routing adjustments Routing alternatives strongly affects the problem size and the computational time required to find a good quality solution Train Routing Selection Problem (TRSP) Aims to ease the rtRTMP solution process by selecting a subset of alternative routings for each train without evaluating timing and ordering decisions Its output represents an input for the rtRTMP How to model the problem? How to create a correspondence between the two problems? When to solve the TRSP? How? Marcella Samà 2
Junior Consulting Dipartimento di Ingegneria TRSP Model G = (C,L) Vertex: Feasible available train routing Vertex Cost:potential delay u i due to using this routing w ij Edge Cost: potential delay due to conflict resolution when both routings are used u j Edge: coherent selection of two routings The TRSP objective is to find Alternative available routings for T 1 the clique of minimum cost and T v T n T t T 1 . . . . . . . . . cardinality n, i .e., the most promising coherent routing combination C Marcella Samà 3
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