Bicriteria scheduling for due date assignment with total weighted tardiness
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 359-370.

In the due date assignment, the bicriteria scheduling models are motivated by the trade-off between the due date assignment cost and a performance criterion of the scheduling system. The bicriteria scheduling models related to the maximum tardiness and the weighted number of tardy jobs have been studied in the literature. In this paper we consider a new model with criteria of the due date assignment cost and the total weighted tardiness. The main results are polynomial-time algorithms for the linear combination version, the constraint version, and the Pareto optimization version of bicriteria scheduling.

DOI : 10.1051/ro/2017074
Classification : 90B35, 90B50, 90C29
Mots clés : Scheduling, bicriteria scheduling, due date assignment, total weighted tardiness, polynomial algorithm
Lin, Hao 1 ; He, Cheng 1 ; Lin, Yixun 1

1
@article{RO_2018__52_2_359_0,
     author = {Lin, Hao and He, Cheng and Lin, Yixun},
     title = {Bicriteria scheduling for due date assignment with total weighted tardiness},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {359--370},
     publisher = {EDP-Sciences},
     volume = {52},
     number = {2},
     year = {2018},
     doi = {10.1051/ro/2017074},
     zbl = {1401.90078},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ro/2017074/}
}
TY  - JOUR
AU  - Lin, Hao
AU  - He, Cheng
AU  - Lin, Yixun
TI  - Bicriteria scheduling for due date assignment with total weighted tardiness
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 2018
SP  - 359
EP  - 370
VL  - 52
IS  - 2
PB  - EDP-Sciences
UR  - http://www.numdam.org/articles/10.1051/ro/2017074/
DO  - 10.1051/ro/2017074
LA  - en
ID  - RO_2018__52_2_359_0
ER  - 
%0 Journal Article
%A Lin, Hao
%A He, Cheng
%A Lin, Yixun
%T Bicriteria scheduling for due date assignment with total weighted tardiness
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 2018
%P 359-370
%V 52
%N 2
%I EDP-Sciences
%U http://www.numdam.org/articles/10.1051/ro/2017074/
%R 10.1051/ro/2017074
%G en
%F RO_2018__52_2_359_0
Lin, Hao; He, Cheng; Lin, Yixun. Bicriteria scheduling for due date assignment with total weighted tardiness. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 359-370. doi : 10.1051/ro/2017074. http://www.numdam.org/articles/10.1051/ro/2017074/

[1] A. Agnetis, J.-C. Billaut, S. Gawiejnowicz, D. Pacciarelli and A. Soukhal, Multiagent Scheduling: Models and Algorithms. Springer-Verlag, Berlin (2014) | DOI | Zbl

[2] J. Błazewicz, K. Ecker, G. Schmidt and J. Wȩglarz, Scheduling in Computer and Manufacturing Systems. Springer-Verlag, Berlin (1993) | DOI | Zbl

[3] P. Brucker, Scheduling Algorithms 3rd Edition. Springer-Verlag, Berlin (2001) | DOI | Zbl

[4] T.C.E. Cheng and M.C. Gupta, Survey of scheduling research involving due date determination decisions. Eur. J. Operat. Res. 38 (1989) 156–166 | DOI | Zbl

[5] V. Gordon and W. Kubiak, Single machine scheduling with release and due date assignment to minimize the weighted number of late jobs. Infor. Proc. Lett. 68 (1998) 153–159 | DOI | Zbl

[6] V. Gordon, J.M. Proth and C. Chu, A survey of the state-of-the-art of common due date assignment and scheduling research. Eur. J. Oper. Res. 139 (2002) 1–25 | DOI | Zbl

[7] V. Gordon and V. Strusevich, Single machine scheduling and due date assignment with positionally dependent processing times. Eur. J. Oper. Res. 198 (2009) 57–62 | DOI | Zbl

[8] V. Gordon, V. Strusevich and A. Polgui, Scheduling with due date assignment under special conditions on job processing. J. Scheduling 15 (2012) 447–456 | DOI | Zbl

[9] H. Hoogeveen, Multicriteria scheduling. Eur. J. Oper. Res. 167 (2005) 592–623 | DOI | Zbl

[10] C. Koulamas, A faster algorithm for a due date assignment problem with tardy jobs. Oper. Res. Lett. 38 (2010) 127–128 | DOI | Zbl

[11] H. Lin and C. He, On the bicriteria scheduling of due date assignment and weighted number of tardy jobs. Chinese. J. Eng. Math. 34 (2017) 73–84 | Zbl

[12] D. Shabtay and G. Steiner, Two due date assignment problems in scheduling a single machine. Oper. Res. Lett. 34 (2006) 683–691 | DOI | Zbl

[13] D. Shabtay and G. Steiner, The single-machine earliness-tardiness scheduling problem with due date assignment and resource-dependent processing times. Ann. Oper. Res. 159 (2008) 25–40 | DOI | Zbl

[14] D. Shabtay, G. Steiner and L. Yedidsion, Bicriteria problems to minimize maximum tardiness and due date assignment cost in various scheduling enviroments. Discrete Appl. Math. 158 (2010) 1090–1103 | DOI | Zbl

[15] D. Shabtay and G. Steiner, A bicriteria approach to minimize the total weighted number of tardy jobs with convex controllable processing times and assignable due dates. J. Scheduling 14 (2011) 455–469 | DOI | Zbl

[16] D. Shabtay, Optimal restricted due date assignment in scheduling. Eur. J. Oper. Res. 252 (2016) 79–89 | DOI | Zbl

[17] V. T’Kindt and J.-C. Billaut, Multicriteria Scheduling: Theory, Models and Algorithms, 2nd Edition. Springer-Verlag, Berlin (2006) | Zbl

Cité par Sources :