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A new schedule generation scheme for resource-constrained project scheduling

Cyril Briand — 2009

RAIRO - Operations Research

In this paper, a new schedule generation scheme for resource-constrained project scheduling problems is proposed. Given a project scheduling problem and a priority rule, a schedule generation scheme determines a single feasible solution by inserting one by one each activity, according to their priority, inside a partial schedule. The paper proposes a generation scheme that differs from the classic ones in the fact that it allows to consider the activities in any order, whether their predecessors...

Minimizing the number of tardy jobs for the single machine scheduling problem: MIP-based lower and upper bounds

Cyril BriandSamia Ourari — 2013

RAIRO - Operations Research - Recherche Opérationnelle

This paper considers the problem of scheduling 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.

An efficient ILP formulation for the single machine scheduling problem

Cyril BriandSamia OurariBrahim Bouzouia — 2010

RAIRO - Operations Research

This paper considers the problem of scheduling jobs on a single machine. A fixed processing time and an execution interval are associated with each job. Preemption is not allowed. On the basis of analytical and numerical dominance conditions, an efficient integer linear programming formulation is proposed for this problem, aiming at minimizing the maximum lateness ( ). Experiments have been performed by means of a commercial solver that show that this formulation is effective...

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