Article ID Journal Published Year Pages File Type
428835 Information Processing Letters 2015 4 Pages PDF
Abstract

•We show that the algorithm for jump number problem have competitive ratio 16/11.•Our analysis improves the best known ratio 89/60.•Our approach relies on the refined analysis of Krysztowiak's algorithm.

It is NP-complete to calculate the jump number on an interval order. There are three algorithms reaching 3/2 approximation ratio for this problem. Recently, Krysztowiak improved this ratio to 89/60. We investigate their algorithm carefully and bound this ratio by 16/11.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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