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tardy jobs

RAIRO - Operations Research (1)

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Minimizing the number of tardy jobs for the single machinescheduling problem: MIP-based lower and upper bounds
Cyril Briand, Samia Ourari
Journal:

RAIRO - Operations Research / Volume 47 / Issue 1 / January 2013

Published online by Cambridge University Press:

11 February 2013, pp. 33-46

Print publication:

January 2013
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This paper considers the problem of scheduling n jobs on a singlemachine. 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 minimizesthe number of tardy jobs. On the basis of an original mathematical integer programmingformulation, this paper shows how good-quality lower and upper bounds can be computed.Numerical experiments are provided for assessing the proposed approach.