This preview shows page 1. Sign up to view the full content.
Unformatted text preview: nt of train stock
rm this train service in such
h stage there are enough
nswer this question, one
mber of further characternts. In a ﬁrst version of the
ed, the train stock consistoway train units (‘koploping of three carriages. Each
.
t both ends an engineer’s
n be coupled together up to
length (often 15 carriages,
se 5 train units).
h can be changed, by coug units, at the terminal stathat is at Amsterdam and
route at the intermediate
m and Roosendaal. Any
led from a train arriving at
can be linked up to any
ing from p at any time later
damVlissingen schedule is Figure 4 From Harris and Ross [3]: Schematic diagram of the railway network of the Western Soviet Union and East European countries, with a maximum ﬂow of value 163,000 tons from Russia to Eastern Europe and a cut of capacity 163,000 tons
indicated as ‘The bottleneck’
courtesy Alexander Schrijver 4 flow networks
source + sink:
capacities: flow networks
source + sink: node s, and t capacities: c ( u, v )
assumed to be 0 if no (u,v) edge example
2
3 3 s 3 1 3 2 t 1
2 2
3 flow
map from edges to numbers:
capacity constraint:
flow constraint: example
2/2 2/ 3
1/ s
0/ 2/ 1/3 1/1 2/3 1/2 3 t 1 /2
1 2 2/3 max flow problem
given a graph G, compute greedy solution?...
View
Full
Document
 Spring '10
 HORTON
 Algorithms

Click to edit the document details