Improved Approximation Algorithms for the 2-Catalog Segmentation Problems using Semidefinite Programming Relaxations
In this paper, we consider 2-catalog segmentation problems. Using the techniques of non-uniform rotation and semidefinite programming rounding, we propose an improved 0.7317-approximation algorithm for the disjoint version which can deduce a 0.6338 approximation ratio for the joint version. We also give the performance guarantee curve which depends on the input data and the optimal solution of the corresponding semidefinite programming relaxation.
2-catalog segmentation problem Approximation algorithm Semidefinite programming
Chenchen Wu Dachuan Xu Xinyuan Zhao
Department of Applied Mathematics, Beijing University of Technology 100 Pingleyuan, Chaoyang District, Beijing 100124, China
国际会议
上海
英文
370-371
2010-12-10(万方平台首次上网日期,不代表论文的发表时间)