Algorithms for minclique scheduling problems

被引:20
作者
Jurisch, B
Kubiak, W
Jozefowska, J
机构
[1] MEM UNIV NEWFOUNDLAND,FAC BUSINESS ADM,ST JOHNS,NF A1C 5S7,CANADA
[2] POZNAN TECH UNIV,INST COMP SCI,PL-60965 POZNAN,POLAND
关键词
single/multiple machine scheduling; minimum weighted clique; dynamic programming; spectral algorithms; tabu search;
D O I
10.1016/S0166-218X(96)00040-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a family of well-known scheduling problems that reduce to the problem of finding a minimum weighted clique in a complete weighted graph with negative weights and self-loops allowed. We present a uniform algorithmic approach to finding optimal as well as suboptimal solutions for these problems. Also, we report results of computational tests for suboptimal algorithms developed in the paper.
引用
收藏
页码:115 / 139
页数:25
相关论文
共 23 条
[1]  
[Anonymous], 1990, KNAPSACK PROBLEMS
[2]  
[Anonymous], 1979, Computers and Intractablity: A Guide to the Theoryof NP-Completeness
[3]   AN ALGORITHM FOR PARTITIONING THE NODES OF A GRAPH [J].
BARNES, ER .
SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1982, 3 (04) :541-550
[4]  
BARNES ER, 1984, PROGR COMBINATORIAL, P13
[5]  
BLUM M, 1972, J COMPUT SYST SCI, V7, P240
[6]   CON DUE-DATE DETERMINATION AND SEQUENCING [J].
DE, P ;
GHOSH, JB ;
WELLS, CE .
COMPUTERS & OPERATIONS RESEARCH, 1990, 17 (04) :333-342
[7]   ON THE MINIMIZATION OF COMPLETION-TIME VARIANCE WITH A BICRITERIA EXTENSION [J].
DE, P ;
GHOSH, JB ;
WELLS, CE .
OPERATIONS RESEARCH, 1992, 40 (06) :1148-1155
[8]  
Glover F., 1993, Annals of Operations Research, V41, P3
[9]   EARLINESS-TARDINESS SCHEDULING PROBLEMS .1. WEIGHTED DEVIATION OF COMPLETION TIMES ABOUT A COMMON DUE DATE [J].
HALL, NG ;
POSNER, ME .
OPERATIONS RESEARCH, 1991, 39 (05) :836-846
[10]  
Hansen P., 1993, ORSA Journal on Computing, V5, P97, DOI 10.1287/ijoc.5.2.97