This note is concerned with the bicriteria scheduling problem on a series-batching machine to minimize maximum cost and makespan. An O(n5) algorithm has been established previously. Here is an improved algorithm which solves the problem in O(n3) time.
Mots-clés : multicriteria scheduling, batching machine, maximum cost, pareto optimal solutions
@article{RO_2013__47_1_1_0, author = {He, Cheng and Wang, Xiumei and Lin, Yixun and Mu, Yundong}, title = {An {Improved} {Algorithm} for a {Bicriteria} {Batching} {Scheduling} {Problem}}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {1--8}, publisher = {EDP-Sciences}, volume = {47}, number = {1}, year = {2013}, doi = {10.1051/ro/2012023}, mrnumber = {3031096}, zbl = {1271.90033}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ro/2012023/} }
TY - JOUR AU - He, Cheng AU - Wang, Xiumei AU - Lin, Yixun AU - Mu, Yundong TI - An Improved Algorithm for a Bicriteria Batching Scheduling Problem JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2013 SP - 1 EP - 8 VL - 47 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2012023/ DO - 10.1051/ro/2012023 LA - en ID - RO_2013__47_1_1_0 ER -
%0 Journal Article %A He, Cheng %A Wang, Xiumei %A Lin, Yixun %A Mu, Yundong %T An Improved Algorithm for a Bicriteria Batching Scheduling Problem %J RAIRO - Operations Research - Recherche Opérationnelle %D 2013 %P 1-8 %V 47 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2012023/ %R 10.1051/ro/2012023 %G en %F RO_2013__47_1_1_0
He, Cheng; Wang, Xiumei; Lin, Yixun; Mu, Yundong. An Improved Algorithm for a Bicriteria Batching Scheduling Problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 47 (2013) no. 1, pp. 1-8. doi : 10.1051/ro/2012023. http://archive.numdam.org/articles/10.1051/ro/2012023/
[1] The complexity of one-machine batching problems. Discrete Appl. Math. 47 (1993) 87-107. | MR | Zbl
and ,[2] Scheduling Algorithms (third edition). Springer, Berlin (2001). | MR | Zbl
,[3] Optimization and approximation in deterministic sequencing and scheduling : A survey. Annal. Discr. Math. 5 (1979) 287-326. | MR | Zbl
, , and ,[4] Bicriteria scheduling on a series -batching machine to minimize maximum cost and makespan. CEJOR Cent. Eur. J. Oper. Res. 21 (2013) 177-186. | MR
, , and ,[5] Bicriteria scheduling of minimizing maximum lateness and makespan on a serial-batching machine. Found. Comput. Decision Sci. 33 (2008) 369-376. | MR | Zbl
, and ,[6] A DP algorighm for minimizing makespan and total completion time on a series-batching machine. Informat. Process. Lett. 109 (2009) 603-607. | MR | Zbl
, and ,[7] Multicriteria scheduling. European J. Oper. Res. 167 (2005) 592-623. | MR | Zbl
,[8] Single-machine scheduling to minimize a function of two or three maximum cost criteria. J. Algorithms 21 (1996) 415-433. | MR | Zbl
,[9] Scheduling groups of jobs on a single machine. Oper. Res. 43 (1995) 692-703. | MR | Zbl
and ,Cité par Sources :