An NC algorithm for finding a minimum weighted completion time schedule on series parallel graphs

被引:1
作者
Sunder, S [1 ]
He, X [1 ]
机构
[1] SUNY BUFFALO, DEPT COMP SCI, BUFFALO, NY 14260 USA
关键词
scheduling; series parallel graphs; NC algorithms; parallel algorithm;
D O I
10.1007/BF01955675
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
We present a parallel algorithm for solving the minimum weighted completion time scheduling problem for transitive series parallel graphs. The algorithm takes O (log(2) n) time with O (n(3)) processors on a CREW PRAM, where n is the number of vertices of the input graph. This is the first NC algorithm for solving the problem.
引用
收藏
页码:243 / 262
页数:20
相关论文
共 18 条
[12]  
JUNG H, 1991, P 18 ICALP, P417
[13]  
Lawler E.L., 1978, Annals of Discrete Mathematics, V2, P75
[14]  
MILLER GL, 1985, P 26 IEEE S FDN COMP, P478, DOI DOI 10.1109/SFCS.1985.43
[15]   DECOMPOSITION ALGORITHMS FOR SINGLE-MACHINE SEQUENCING WITH PRECEDENCE RELATIONS AND DEFERRAL COSTS [J].
SIDNEY, JB .
OPERATIONS RESEARCH, 1975, 23 (02) :283-298
[16]  
Smith W., 1956, Naval Res. Logistics Q., V3, P59, DOI DOI 10.1002/NAV.3800030106
[17]   THE RECOGNITION OF SERIES-PARALLEL DIGRAPHS [J].
VALDES, J ;
TARJAN, RE ;
LAWLER, EL .
SIAM JOURNAL ON COMPUTING, 1982, 11 (02) :298-313
[18]   THE 2-PROCESSOR SCHEDULING PROBLEM IS IN RANDOM NC [J].
VAZIRANI, UV ;
VAZIRANI, VV .
SIAM JOURNAL ON COMPUTING, 1989, 18 (06) :1140-1148