More Complex Networks
n Determining all independent link sets is NP-complete, so
heuristically determine a few (will generate lower bound
on network capacity)
n Can modify LP to account for different radio models, rate-
adaptive MACs, etc.
n Straightforward to extend to multiple flows
Ø For N nodes, S flows, and M independent sets, the maximum
number of variables will be (N-1)*(N-1)*S + S + M, and N*S + M
+ 1 constraints
n To model actual network, numbers depend on topology:
Ø 100 nodes in a 1500 m x 1500 m area and 50 flows, attempting to
find 10,000 independent scheduling sets: the maximum number of
variables is 500,100, with 15,001 constraints. Using randomly
generated static topologies, we counted between 46,000 to 70,000
variables and around 5,200-5,700 constraints.