A note on a single machine scheduling problem with generalized total tardiness objective function
In this note, we consider a single machine scheduling problem with generalized total tardiness objective function. A pseudo-polynomial time solution algorithm is proposed for a special case of this problem. Moreover, we present a new graphical algorithm for another special case, which corresponds to...
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| Vydané v: | Information processing letters Ročník 112; číslo 3; s. 72 - 76 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Amsterdam
Elsevier B.V
31.01.2012
Elsevier Sequoia S.A |
| Predmet: | |
| ISSN: | 0020-0190, 1872-6119 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | In this note, we consider a single machine scheduling problem with generalized total tardiness objective function. A pseudo-polynomial time solution algorithm is proposed for a special case of this problem. Moreover, we present a new graphical algorithm for another special case, which corresponds to the classical problem of minimizing the weighted number of tardy jobs on a single machine. The latter algorithm improves the complexity of an existing pseudo-polynomial algorithm by Lawler. Computational results are presented for both special cases considered.
► A single machine problem with a generalized objective function is considered. ► For two special cases, pseudopolynomial algorithms and their graphical modifications are presented. ► Computational results are given for problems with up to 50 jobs. |
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| Bibliografia: | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23 |
| ISSN: | 0020-0190 1872-6119 |
| DOI: | 10.1016/j.ipl.2011.10.013 |