Title
Complexity of flowshop scheduling problems with a new blocking constraint
Abstract
This article deals with makespan minimization in the flowshop scheduling problem under the condition of no intermediate storage between machines. A new blocking constraint met in several industrial problems is introduced, and several complexity results are presented from two to five machines. Some problems with four machines in which the new and the classical blocking constraints are mixed, are polynomial. Problems with only the new blocking constraint are polynomial for up to three machines. Although the complexity of the problem with four machines is left open, several cases are shown to be polynomial. Finally the problem with five machines is NP-hard.
Year
DOI
Venue
2006
10.1016/j.ejor.2004.08.046
European Journal of Operational Research
Keywords
Field
DocType
Scheduling,Flowshop,Blocking,Complexity
Mathematical optimization,Job shop scheduling,Polynomial,Scheduling (computing),Flow shop scheduling,Minification,Mathematics
Journal
Volume
Issue
ISSN
169
3
0377-2217
Citations 
PageRank 
References 
15
0.77
4
Authors
5
Name
Order
Citations
PageRank
S. Martinez1150.77
Stéphane Dauzère-Pérès274065.50
C. Guéret341518.12
Yazid Mati41347.22
N. Sauer5171.60