'Institute of Electrical and Electronics Engineers (IEEE)'
Doi
Abstract
We consider the problem of network coding subgraph
construction in networks where there is uncertainty about
link loss rates. For a given set of scenarios specified by an uncertainty
set of link loss rates, we provide a robust optimization-based
formulation to construct a single subgraph that would work
relatively well across all scenarios. We show that this problem
is coNP-hard in general for both objectives: minimizing cost
of subgraph construction and maximizing throughput given a
cost constraint. To solve the problem tractably, we approximate
the problem by introducing path constraints, which results
in polynomial time-solvable solution in terms of the problem
size. The simulation results show that the robust optimization
solution is better and more stable than the deterministic solution
in terms of worst-case performance. From these results, we
compare the tractability of robust network design problems with
different uncertain network components and different problem
formulations