Read e-book online An Integrated Approach in Production Planning and Scheduling PDF

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

ISBN-10: 3540579052

ISBN-13: 9783540579052

ISBN-10: 3642468047

ISBN-13: 9783642468049

Production administration is a big box serious about the entire points concerning creation, from the very backside judgements on the desktop point, to the top-level strategic decisicns. during this ebook, we're fascinated by creation making plans and scheduling points. conventional creation making plans methodologies are in keeping with a now extensively 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 vital are the choices. during this ebook, we purely contemplate the final choice degrees within the hierarchy, particularly, the mid-term (or tacticaQ making plans point and the momentary (or operationaQ scheduling point. within the literature and in perform, the selections are taken in series and in a top-down procedure from the top point within the hierarchy to the ground point. the selections taken at a few point within the hierarchy are restricted via these already taken at top degrees and in flip, needs to translate into possible pursuits for the following reduce degrees within the hierarchy. it's a good judgment comment to assert that the full hierarchical selection approach is coherent if the interactions among diverse degrees within the hierarchy are taken into consideration in order that a choice taken at a few point within the hierarchy interprets right into a possible goal for the following choice point within the hierarchy. despite the fact that, and surpris­ ingly adequate, this significant consistency factor isn't investigated and few effects come in the literature.

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88] and [Carlier 82], in order to explain later our modifications. 2 The Shifting Bottleneck Procedure The machines are considered successively one by one, in an OMS problem, and the result is used to both rank the machines, and select an optimal sequence on the machine with highest rank. This machine is added to the set of machines already sequenced. Then, the makespan may be improved by solving again OMS problems in this set. Let Mo be the set of machines that have been already sequenced, by choosing selections Sk (k E Mo).

93]). , sum of the completion times, lateness, ... ). As we shall see in Chapter III, the problem of minimizing the makespan is of interest for us, because minimizing the maximum lateness reduces to minimizing the makes pan on a related problem. A very interesting representation of JI IGmax is provided by using a disjunctive graph (see [Roy and Sussman 64] and [Balas 69]) G = (N, A, E). N is the set of nodes in the graph (all the operations plus dummy start and finish operations 0 and *). A is the set of conjunctive arcs, and E the set of disjunctive arcs.

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). Therefore, the SB procedure is as follows: Start with Mo := fjJ. E A Sk, E E, k E Mo 26 CHAPTER II 1. Identify the bottleneck machine kg among machines k E M\Mo and its optimal sequence (selection Sk,).

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