Under the one-step smoothed model with densities bounded by φ, the expected number of iterations to a k-swap local optimum is O(m^2 n^{2k+2} log m φ).
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Smoothed Analysis of the k-Swap Neighborhood for Makespan Scheduling
Under the one-step smoothed model with densities bounded by φ, the expected number of iterations to a k-swap local optimum is O(m^2 n^{2k+2} log m φ).