“…To verify the results and to relate computation speeds, the proposed implementation described here was compared to a direct solution of (7): To achieve comparable result quality, t fail was discretized into Tfail such that, during a transition, any intermediate arc length ŝ ∈ Ŝ is evaluated at least once, as is the case with the proposed algorithm. For each a next ∈ Â, the direct solver computes and minimizes ⟨P⟩ by (8), and therein computes P(..., t fail , ...) by ( 5); the proposed solver precomputes I B , I C ▶ , I C ■ , and then for each a next ∈ Â, computes and minimizes P B + P C ▶ + P C ■ , accumulated over t, via (54), ( 58), (59).…”