Title
Scheduling unit time jobs with integer release dates to minimize the weighted number of tardy jobs
Abstract
Consider a set of n unit time jobs, each one having a release date, a due date, both nonnegative integers, and a weight, a positive real number. Given a set of m parallel machines, we describe an algorithm for finding schedules with minimum weighted number of tardy jobs. The complexity of the proposed algorithm is . The best previous algorithm for this problem has complexity O(mn 3) and employs network flow techniques. Our method is based on a characterization for schedules of this type and employs graph theoretic tools.
Year
DOI
Venue
2009
https://doi.org/10.1007/s10479-008-0479-y
Annals of Operations Research
Keywords
Field
DocType
Algorithms,Graph theory,Parallel machines,Scheduling theory,Tardy jobs,Unit time jobs
Flow network,Graph theory,Integer,Discrete mathematics,Graph,Mathematical optimization,Release date,Scheduling (computing),Schedule,Real number,Mathematics
Journal
Volume
Issue
ISSN
169
1
0254-5330
Citations 
PageRank 
References 
4
0.58
4
Authors
3
Name
Order
Citations
PageRank
Mitre Dourado19018.43
Rosiane de Freitas Rodrigues2113.14
Jayme Luiz Szwarcfiter361895.79