Next Article in Journal
Planning the Schedule for the Disposal of the Spent Nuclear Fuel with Interactive Multiobjective Optimization
Previous Article in Journal
Target Image Mask Correction Based on Skeleton Divergence
Previous Article in Special Issue
Modeling and Solving Scheduling Problem with m Uniform Parallel Machines Subject to Unavailability Constraints
Open AccessFeature PaperArticle

Some Results on Shop Scheduling with S-Precedence Constraints among Job Tasks

1
Dipartimento di Ingegneria dell’Informazione e Scienze Matematiche, Università di Siena, SI 53100 Siena, Italy
2
Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università di L’Aquila, AQ 67100 L’Aquila, Italy
*
Author to whom correspondence should be addressed.
Algorithms 2019, 12(12), 250; https://doi.org/10.3390/a12120250
Received: 9 October 2019 / Revised: 14 November 2019 / Accepted: 18 November 2019 / Published: 25 November 2019
(This article belongs to the Special Issue Exact and Heuristic Scheduling Algorithms)
We address some special cases of job shop and flow shop scheduling problems with s-precedence constraints. Unlike the classical setting, in which precedence constraints among the tasks of a job are finish–start, here the task of a job cannot start before the task preceding it has started. We give polynomial exact algorithms for the following problems: a two-machine job shop with two jobs when recirculation is allowed (i.e., jobs can visit the same machine many times), a two-machine flow shop, and an m-machine flow shop with two jobs. We also point out some special cases whose complexity status is open. View Full-Text
Keywords: job shop; flow shop; s-precedence constraints; exact algorithms; complexity job shop; flow shop; s-precedence constraints; exact algorithms; complexity
Show Figures

Figure 1

MDPI and ACS Style

Agnetis, A.; Rossi, F.; Smriglio, S. Some Results on Shop Scheduling with S-Precedence Constraints among Job Tasks. Algorithms 2019, 12, 250.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop