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For multiple coupled RLC nets, we formulate the min-area simultaneous shield insertion and net ordering (SINO/NB-v) problem to satisfy the given noise bound. We develop an efficient and conservative model to compute the peak noise, and apply the noise model to a simulated-annealing (SA) based algorithm for the SINO/NB-v problem. Extensive and accurate experiments show that the SA-based algorithm is efficient, and always achieves solutions satisfying the given noise bound. It uses up to 71% and 30% fewer shields when compared to a greedy based shield insertion algorithm and a separated shield insertion and net ordering algorithm, respectively. To the best of our knowledge, it is the first work that presents an in-depth study on the min-area SINO problem under an explicit noise constraint.