Issue |
RAIRO-Oper. Res.
Volume 51, Number 4, October-December 2017
|
|
---|---|---|
Page(s) | 1177 - 1188 | |
DOI | https://doi.org/10.1051/ro/2017044 | |
Published online | 24 November 2017 |
Strongly Fully Polynomial Time Approximation Scheme for the weighted completion time minimization problem on two-parallel capacitated machines∗
1 Université de Lorraine, LCOMS EA 7306, 57000, Metz, France.
imed.kacem@ univ-lorraine.fr; myriam.sahnoune@ univ-lorraine.fr
2 Universität des Saarlandes, ORBI, Sarbrucken, Germany.
gs@orbi.uni-saarland.de
Received: 13 September 2016
Accepted: 26 May 2017
We consider the total weighted completion time minimization for the two-parallel capacitated machines scheduling problem. In this problem, one of the machines can process jobs until a certain time T1 after which it is no longer available. The other machine is continuously available for performing jobs at any time. We prove the existence of a strongly Fully Polynomial Time Approximation Scheme (FPTAS) for the studied problem, which extends the results for the unweighted version (see [I. Kacem, Y. Lanuel and M. Sahnoune, Strongly Fully Polynomial Time Approximation Scheme for the two-parallel capacitated machines scheduling problem, Int. J. Plann. Sched. 1 (2011) 32–41]). Our FPTAS is based on the simplification of a dynamic programming algorithm. Moreover, we present a set of numerical experiments and we discuss the results.
Mathematics Subject Classification: 90C59 / 90C39 / 90B35
Key words: Scheduling / parallel machine / approximation
© EDP Sciences, ROADEF, SMAI 2017
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.