I
NSTANCE
:
Graph
, length function
,
set of sources
, sink
,
demand function
, finite set of cable types
where each cable type is specified by its capacity and its
cost per unit length.
S
OLUTION
:
A network of cables in the graph, consisting of an integral number
of each cable type for each edge in
G
, that routes all the
demands at the sources to the sink. The demand of each source must
follow a single path from source to sink.
M
EASURE
:
The total cost of building the network of cables.
Comment:
Approximable within
, where
,
for points in the Euclidean plane.
Restricted version where the network to be designed must be a two-level tree
(so that every path from a source to the sink consists of at most two edges)
is approximable within
[
314
].