Sentence examples for worst case ratio from inspiring English sources
If there are m open shops, our algorithm has a worst case ratio of 2. If only two open shops are valid, it can be improved to 32.
Compared with several 2-approximation algorithms in the literature, this paper presents an approximation algorithm with a worst case ratio 2−2m+1<2 for any m QCs.
For an arbitrary speed ratio s ≥ 1, an approximation algorithm with worst case ratio (1+s)21+s+s2 is provided.
Our measure of efficiency is defined as the worst case ratio of the total utility of a utility proportional fair rate vector and the maximum possible total utility.
If the reduce tasks are preemptive, we provide an approximation algorithm with worst case ratio of 2. On online version where jobs arriving over time, we design two heuristics for non-preemptive and preemptive reduce tasks respectively.
On offline version, if the reduce tasks are non-preemptive, we design an approximation algorithm whose worst case ratio is at most max{1+Δ2−1n,Δ}, where Δ= v1vn is the ratio of the fastest speed to the slowest speed.
They proposed a fast approximation algorithm with three different absolute and asymptotic worst case ratios for the jobs have identical sizes, identical processing times and both arbitrary sizes and arbitrary processing times.
Moreover, the worst-case ratio of the shortest-processing-time-based rule under a consistency condition is provided for the problem.
The competitive ratio of a given search path is the worst-case ratio of the path among all horizontal and vertical lines in the plane.
Koulamas and Kyparisis [3] analyzed a three-stage assembly scheduling problem by minimizing the makespan and analyzed the worst-case ratio bound for several heuristics for this problem.
Recently, this fact has been established by utilizing the concept of competitive ratio, which is defined as the worst-case ratio of the cost of a control design with limited model information to the cost of the optimal control design with full model information.
