We extend an existing probabilistic congestion model to consider shielding for crosstalk reduction. We then develop a multilevel router to study the impact of various congestion models on routing congestion by using large industrial design examples. We show that (1) wlieri shielding is applied a s a post-routing optimization for crosstalk reduction, the existing probabilistic model, when conipared t o a deterministic routing-order dependent congestion model: reduces routing congestion by 17.1% on average under the given routing area constraints, or reduces routing area by 9.4% on average under thc given roiiting congestion constraints; ( 2 ) our extended prohahilistic congestion model considering shielding enaldes shieldirig reservation and minimization for routing and achieves routing congcstion (or area) reduction by 47.7% (or 31.U%) on average under the given routing area (or congestion) constrairlts, when compared to the above deterministic coiigestioii rrirdeI not able to estimate shielding and therefore not, &le to minimize shieldirig during routing.