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An efficient ILP formulation for the single machine scheduling problem

Cyril Briand, Samia Ourari, Brahim Bouzouia (2010)

RAIRO - Operations Research

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. 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 (Lmax). Experiments have been performed by means of a commercial solver that show that this formulation is effective on large...

An Exact Method for Solving the Multi-Processor Flow-Shop

Jacques Carlier, Emmanuel Neron (2010)

RAIRO - Operations Research

The aim of this paper is to present a new branch and bound method for solving the Multi-Processor Flow-Shop. This method is based on the relaxation of the initial problem to m-machine problems corresponding to centers. Release dates and tails are associated with operations and machines. The branching scheme consists in fixing the inputs of a critical center and the lower bounds are those of the m-machine problem. Several techniques for adjusting release dates and tails have also been introduced....

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