in the repository
Title data
Schauer, Joachim ; Schwarz, Cornelius:
A generalized job-shop problem with more than one resource demand per task.
Bayreuth
,
2011
![[thumbnail of article_opt_online.pdf]](https://epub.uni-bayreuth.de/style/images/fileicons/application_pdf.png) |
|
||||||||
|
Download (407kB)
|
Abstract
We study a generalized job-shop problem called the Laser Sharing Problem with fixed tours (LSP-T) where the tasks may need more than one resource simultaneously. This fact will be used to model possible collisions between industrial robots. For three robots we will show that the special case where only one resource is used by more than one robot is already NP-hard. This also implies that one machine scheduling with chained min delay precedence constraints is NP-hard for at least three chains. On the positive side, we present a polynomial algorithm for the two robot case and a pseudo-polynomial algorithm together with an FPTAS for an arbitrary but constant number of robots. This gives a sharp boundary of the complexity status for a constant number of robots.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Keywords: | Reihenfolgeproblem; Kombinatorische Optimierung; Komplexitaet; Approximationsalgorithmus; FPTAS; complexity; job-shop; transversal graph |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-opus-8381 |
| Date Deposited: | 25 Apr 2014 08:34 |
| Last Modified: | 28 Mar 2019 10:08 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/352 |
Download Statistics