Synthesis Of Railway Infrastructure
Author(s)
J. Spönemann & E. Wendler
Abstract
This paper addresses the problem of generating a cost-optimal railway infrastructure
by stating and solving a linear optimization problem. Railway infrastructure
is represented by a network consisting of nodes and arcs. The nodes represent
stations; the arcs lines connecting the stations. An input instance of the network
design problem for railway infrastructure consists of two parts. The stations, which
have to be connected in a certain way, and a traffic demand, which relates each pair
of nodes (A, B) to a number of trains of different types, has to be routed from A
to B in a given time horizon. A newly designed network answers two questions:
what is the topology of the network, i.e. which stations are connected to each
other and how does the line look like in each connection (e.g. single track, double
track, single track with one overtaking station etc.)? The observed kind of routing
problem can be stated and solved as a multi-commodity flow problem. In order to
get the design of the network using a routing routine, a complete network is constructed.
Finding a routing in such a complete network is then equal to designing
the network, since the routing chooses the arcs needed and so designs the desired
network. To solve the problem efficiently it is stated as a mixed integer program
(MIP), which is solvable by standard MIP-solvers.
Keywords: railway infrastructure, strategic long-term planning, network design,
multi-commodity flow, MIP.
1 Motivation
A solution of the problem of synthesizing railway infrastructure (SRI) answers the
question: what does a cost-optimal network of railway infrastructure for a given
traffic requirement look like? Planning a complete new network of infrastructure
from scratch is one obvious reason why research in this field pays off. Another one
is the strategic long-term planning of infrastructure done by railway infrastructure
Keywords
railway infrastructure, strategic long-term planning, network design,
multi-commodity flow, MIP
Related Book
Other papers in this volume
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