Abstract
In this paper we discuss the optimal design of logical topologies in wavelength-routed IP over WDM networks supporting both unicast and multicast transfer of IP datagrams under deterministic and stochastic traffic patterns. The paper brings mainly three original contributions: (i) it provides a MILP formalization of the optimal logical topology design (LTD) problem in presence of multicast traffic under a perfectly known (deterministic) traffic pattern and proposes sub-optimal greedy and metaheuristic algorithms for its solution; (ii) it derives novel, tight optimistic bounds that allow the assessment of the performance of the proposed algorithms; (iii) it investigates the optimal logical topology design problem, when traffic patterns are known with a certain degree of uncertainty, hence characterized with a stochastic description, and it presents approaches for the sub-optimal solution of the problem. Focusing on the current Internet routing algorithms, we explicitly consider the routing of multi-hop flows over the logical topology as an input to the problem, not an optimization target.
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