List’s worst-average-case or WAC ratio

Abstract We analyze the List scheduling algorithm for the problem of minimizing makespan using a worst-average-case or wac analysis technique, previously used by Kenyon for analyzing the Best Fit bin packing algorithm. We show that List’s worst-average-case or wac ratio asymptotically approaches 2, as m→∞. Thus, List’s worst-case behavior is not overly dependent on the order of job arrivals.