BiObjective Network Topology Design with Reliability Constraint
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This paper addresses an NPhard problem, called NTDCB/R, whose solution is of importance to applications requiring one or more Quality of Service (QoS). Specifically, the problem calls for a network topology that meets two objectives, i.e., minimal cost and maximum bandwidth, subject to a predefined (s, t) reliability constraint. We approach the problem by converting it into one with a single objective. This is achieved via a ratio, called bcr, between network bandwidth and cost to measure the goodness of each topology, and by applying Lagrange relaxation. Then we propose a dynamic programming (DP) scheme, and propose a heuristic solution, called DPCB/R, to generate each topology using all of its n (s, t) paths. This paper also proposes three heuristic path orders that allow DPCB/R to generate and use only k≤n paths to reduce its time complexity while producing similar results. Extensive simulations using 125 benchmark networks with various sizes show the merits of the pathorders, and effectiveness of our approach. DPCB/R is able to generate 88% optimal results for the networks. Further, its nonoptimal results have a bcr ratio, bandwidth, and cost of only up to 1.56%, 0.9%, and, 2.1% off from the optimal, respectively. Further, for a grid network that contains 299 paths it uses only 1.127% of the paths while producing a topology that is only 0.92% off from optimal, with respect to bcr metric.
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