Title
Minimizing makespan in three-machine flow shops with deteriorating jobs
Abstract
In this paper, a three-machine permutation flow shop scheduling problem with time-dependent processing times is considered. By the time-dependent processing times we mean that the job's processing time is an increasing function of its starting time. The objective is to find a sequence that minimizes the makespan. This problem is well known to be NP-hard. Several dominance properties and a lower bound are derived to speed up the elimination process of a branch-and-bound algorithm. Moreover, two heuristic algorithms are proposed to overcome the inefficiency of the branch-and-bound algorithm. Computational experiments on randomly generated problems are conducted to evaluate the branch-and-bound algorithm and heuristic algorithm. Computational results show that the proposed heuristic algorithm M-NEH perform effectively and efficiently.
Year
DOI
Venue
2013
10.1016/j.cor.2012.08.006
Computers & OR
Keywords
DocType
Volume
computational result,processing time,three-machine flow shop,branch-and-bound algorithm,elimination process,Minimizing makespan,heuristic algorithm,computational experiment,increasing function,dominance property,scheduling problem,time-dependent processing time
Journal
40
Issue
ISSN
Citations 
2
0305-0548
17
PageRank 
References 
Authors
0.89
4
2
Name
Order
Citations
PageRank
Jibo Wang174541.50
Mingzheng Wang225115.78