Title
An approximate algorithm for a high-multiplicity parallel machine scheduling problem
Abstract
We consider a high-multiplicity parallel machine scheduling problem where the objective is to minimize the weighted sum of completion times. We suggest an approximate algorithm and we prove that it is asymptotically exact. The algorithm exploits a convex quadratic relaxation of the problem to fix a partial schedule, consisting of most jobs, and then assigns the residual jobs following a simple and general rule. The quality of the obtained solution is evidenced by some numerical tests.
Year
DOI
Venue
2010
10.1016/j.orl.2010.03.009
Oper. Res. Lett.
Keywords
Field
DocType
partial schedule,high multiplicity,numerical test,general rule,scheduling,weighted sum,convex quadratic relaxation,parallel machines,completion time,high-multiplicity parallel machine scheduling,approximation,approximate algorithm,residual job
Residual,Mathematical optimization,Combinatorics,Machine scheduling,Scheduling (computing),Algorithm,Multiplicity (mathematics),Quadratic equation,Regular polygon,Quadratic programming,Convex optimization,Mathematics
Journal
Volume
Issue
ISSN
38
4
Operations Research Letters
Citations 
PageRank 
References 
1
0.35
10
Authors
1
Name
Order
Citations
PageRank
Carlo Filippi116813.77