An Integrated Approach in Production Planning and Scheduling by Dr. Stéphane Dauzère-Péres, Jean-Bernard Lasserre (auth.)

By Dr. Stéphane Dauzère-Péres, Jean-Bernard Lasserre (auth.)

Production administration is a huge box serious about the entire points relating to construction, from the very backside judgements on the computing device point, to the top-level strategic decisicns. during this publication, we're excited by construction making plans and scheduling elements. conventional creation making plans methodologies are according to a now largely ac­ cepted hierarchical decom?osition into numerous making plans determination degrees. the better within the hierarchy, the extra combination are the types and the extra very important are the choices. during this publication, we merely ponder the final selection degrees within the hierarchy, particularly, the mid-term (or tacticaQ making plans point and the temporary (or operationaQ scheduling point. within the literature and in perform, the selections are taken in series and in a top-down strategy from the top point within the hierarchy to the ground point. the selections taken at a few point within the hierarchy are restricted by way of these already taken at top degrees and in flip, needs to translate into possible pursuits for the following decrease degrees within the hierarchy. it's a logic comment to claim that the complete hierarchical choice strategy is coherent if the interactions among varied degrees within the hierarchy are taken under consideration in order that a choice taken at a few point within the hierarchy interprets right into a possible goal for the subsequent selection point within the hierarchy. in spite of the fact that, and surpris­ ingly adequate, this significant consistency factor is never investigated and few effects are available the literature.

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Let Mo be the set of machines that have been already sequenced, by choosing selections Sk (k E Mo). Let 0(/, Mo) be the problem obtained by replacing each arc set Ek (k E Mo) with the corresponding selection Sk, and deleting each arc set Ek (k E M\Mo\{/}). 0(/, Mo) is an OMS problem: v(1, Mo) = min t. 0(1, Mo) tijk tijk tijlkl ~ Pij'k ' V(Ojj'kl,Ojjk) ~ 0 VOjjk tijk - tiljlk ~ Pi'j'k tijl - tiljll ~ Pjljll or EN V( Ojlj'k, Ojjk) E tjljll - tijl ~ Pjjl V(Ojlj'I,Ojj,) A bottleneck machine kg E M\Mo is such that: v(kg,Mo) = max{v(k,Mo): k E M\Mo} where v(k, Mo) is the optimal solution of O(k, Mo).

93], and the comparative study in [Adams et al. 88]). This procedure consists of solving successive One-Machine Sequencing (OMS) problems with an algorithm proposed by [Carlier 82], closely related to the one by 25 The Shifting Bottleneck Procedure [Me Mahon and Florian 75], and very efficient in practice. Let M be the set of all machines, and Mo the set of machines already sequenced. , in the set M/Mo) and included into Mo. In addition, on each machine in Mo, the sequence is re-optimized, again using Carlier's algorithm.

Determine the ordering of operations - the machines one after the CHAPTER II 24 other. The most well-known procedure of this kind is the shifting bottleneck procedure proposed by [Adams et al. 88]. This procedure is detailed in the following sections, and we propose a modified version to eliminate some of its drawbacks. Other methods are based on local search algorithms. Once a notion of neighborhood has been defined, a simple local search algorithm can be written as in ([Carlier and Chretienne 88]): 1.

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