Restrictions and preassignments in preemptive open shop scheduling

被引:15
作者
deWerra, D
Hoffman, AJ
Mahadev, NVR
Peled, UN
机构
[1] IBM CORP,THOMAS J WATSON RES CTR,YORKTOWN HTS,NY 10598
[2] NORTHEASTERN UNIV,DEPT MATH,BOSTON,MA 02115
[3] UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL
关键词
chromatic scheduling; open shop scheduling; timetabling; production; edge-coloring;
D O I
10.1016/0166-218X(95)00055-V
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Preemptive open shop scheduling can be viewed as an edge coloring problem in a bipartite multigraph. In some applications, restrictions of colors (in particular preassignments) are made for some edges. We give characterizations of graphs where some special preassignments can be embedded in a minimum coloring (number of colors = maximum degree). The case of restricted colorings of trees is shown to be solvable in polynomial time.
引用
收藏
页码:169 / 188
页数:20
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