Title
Some Results on Shop Scheduling with S-Precedence Constraints among Job Tasks
Abstract
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.
Year
DOI
Venue
2019
10.3390/a12120250
ALGORITHMS
Keywords
Field
DocType
job shop,flow shop,s-precedence constraints,exact algorithms,complexity
Mathematical optimization,Polynomial,Scheduling (computing),Job shop,Flow shop scheduling,Operations research,Mathematics
Journal
Volume
Issue
Citations 
12
12
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Alessandro Agnetis140830.67
Fabrizio Rossi214016.33
Stefano Smriglio315314.81