| Issue |
RAIRO-Oper. Res.
Volume 47, Number 1, January-March 2013
|
|
|---|---|---|
| Page(s) | 33 - 46 | |
| DOI | https://doi.org/10.1051/ro/2013025 | |
| Published online | 11 February 2013 | |
Minimizing the number of tardy jobs for the single machine scheduling problem: MIP-based lower and upper bounds
1 CNRS, LAAS,
7 avenue du colonel Roche,
31077
Toulouse,
France.
briand@laas.fr
2 Université de Toulouse, UPS, INSA, INP, ISAE, LAAS,
31077
Toulouse,
France
3 CDTA, lotissement du 20 août 1956, Baba Hassen,
Alger,
Algeria.
sourari@cdta.dz
Received:
10
December
2012
Accepted:
13
December
2012
This paper considers the problem of scheduling n jobs on a single machine. A fixed processing time and an execution interval are associated with each job. Preemption is not allowed. The objective is to find a feasible job sequence that minimizes the number of tardy jobs. On the basis of an original mathematical integer programming formulation, this paper shows how good-quality lower and upper bounds can be computed. Numerical experiments are provided for assessing the proposed approach.
Mathematics Subject Classification: 90B35 / 90C11
Key words: Single machine scheduling / tardy jobs / dominance conditions / mixed-integer programming
© EDP Sciences, ROADEF, SMAI, 2013
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