Strong bounds with cut and column generation for class-teacher timetabling

被引：40

作者：

Santos, Haroldo Gambini ^{[1
]}

Uchoa, Eduardo ^{[2
]}

Ochi, Luiz Satoru ^{[3
]}

Maculan, Nelson ^{[4
]}

机构：

[1] Univ Fed Ouro Preto, Dept Comp, Ouro Preto, Brazil

[2] Univ Fed Fluminense, Dept Engn Prod, Niteroi, RJ, Brazil

[3] Univ Fed Fluminense, Inst Comp, Niteroi, RJ, Brazil

[4] Univ Fed Rio de Janeiro, PESC COPPE, Rio De Janeiro, Brazil

来源：

ANNALS OF OPERATIONS RESEARCH | 2012年 / 194卷 / 01期

关键词：

Integer programming; Timetabling; Column generation; Cut generation; TABU SEARCH; ALGORITHM;

D O I：

10.1007/s10479-010-0709-y

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This work presents an integer programming formulation for a variant of the Class-Teacher Timetabling problem, which considers the satisfaction of teacher preferences and also the proper distribution of lessons throughout the week. The formulation contains a very large number of variables and is enhanced by cuts. Therefore, a cut and column generation algorithm to solve its linear relaxation is provided. The lower bounds obtained are very good, allowing us to prove the optimality of previously known solutions in three formerly open instances.

引用

页码：399 / 412

页数：14

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