New PDF release: An Integrated Approach in Production Planning and Scheduling

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 focused on all of the points concerning creation, from the very backside judgements on the computing device point, to the top-level strategic decisicns. during this booklet, we're fascinated by construction making plans and scheduling facets. 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 mixture are the versions and the extra vital are the selections. during this booklet, we simply examine the final choice degrees within the hierarchy, particularly, the mid-term (or tacticaQ making plans point and the non permanent (or operationaQ scheduling point. within the literature and in perform, the selections are taken in series and in a top-down process from the top point within the hierarchy to the ground point. the choices taken at a few point within the hierarchy are limited by way of these already taken at top degrees and in flip, needs to translate into possible goals for the following reduce degrees within the hierarchy. it's a logic comment to claim that the entire hierarchical determination technique is coherent if the interactions among varied degrees within the hierarchy are taken under consideration in order that a call taken at a few point within the hierarchy interprets right into a possible goal for the following selection point within the hierarchy. in spite of the fact that, and surpris­ ingly sufficient, this significant consistency factor is never investigated and few effects come in the literature.

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Additional resources for An Integrated Approach in Production Planning and Scheduling

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At time t, schedule among "ready" jobs Jj (rj with the greatest qi. 3. Set U := U U{Jj}; for all Ji E V, if (Pji i- 0) and (ri tj := t. t := max(tj + Ph min ri). ~ t) of U, the job J j < t + Pji) then ri := t + Pji J,EU If U is equal to J*, then STOP; otherwise, go to 2. Dependent jobs are updated in Step 3. Now, in Step 2, we guarantee to choose a real "ready" job and not one with an underestimated release date. 2, this modification prevents us from computing the sequence with Cmax = 25, and enables us to find the one with Cmax = 24.

The problem is to determine a sequence of jobs on each machine so that the maximum completion time Gmax = maxJ,EJ Gi , often called the makespan, is minimized. This problem is denoted as JI IGmax (see Chapter I, and the classification introduced in [Lawler et al. 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.

Conjunctive arcs. Disjunctive arcs. Figure III-I: Disjunctive graph. 2 Planning We consider a planning problem with n products on a discretized finite planning horizon of T periods. Each period t is an interval of Ct time units, in which production can take place. The demand Dit for each product i and at each period t is assumed to be given. Let Xit be the amount of product i to be processed before the end of period t, and let lit be the inventory level of product i at the end of period t. i The problem is represented in Figure 111-2, where H = E;=l = 1, ..

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


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