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Job-shop scheduling in a body shop

Title data

Schauer, Joachim ; Schwarz, Cornelius:
Job-shop scheduling in a body shop.
In: Journal of Scheduling. Vol. 16 (April 2013) Issue 2 . - pp. 215-229.
ISSN 1094-6136
DOI: https://doi.org/10.1007/s10951-012-0300-2

Official URL: Volltext

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Abstract in another language

We study a generalized job-shop problem called the body shop scheduling problem (BSSP). This problem arises from the industrial application of welding in a car body production line, where possible collisions between industrial robots have to be taken into account. BSSP corresponds to a job-shop problem where the operations of a job have to follow alternating routes on the machines, certain operations of different jobs are not allowed to be processed at the same time and after processing an operation of a certain job a machine might be unavailable for a given time for operations of other jobs. As main results we will show that for three jobs and four machines the special case where only one machine is used by more than one job is already NP-hard. This also implies that the single machine scheduling problem that asks for a makespan minimal schedule of three chains of operations with delays between the operations of a chain is NP-hard. On the positive side, we present a polynomial algorithm for the two job case and a pseudo-polynomial algorithm together with an FPTAS for an arbitrary but constant number of jobs. Hence for a constant number of jobs we fully settle the complexity status of the problem.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Job-shop; FPTAS; Complexity; Transversal graph
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy > Chair Mathematics in Economy - Univ.-Prof. Dr. Jörg Rambau
Faculties
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 21 Nov 2014 08:37
Last Modified: 01 Dec 2014 12:40
URI: https://eref.uni-bayreuth.de/id/eprint/3784