DAIDEN.IN Book Archive > Nonfiction 8 > An Integrated Approach in Production Planning and Scheduling by Dr. Stéphane Dauzère-Péres, Jean-Bernard Lasserre (auth.) PDF

An Integrated Approach in Production Planning and Scheduling by Dr. Stéphane Dauzère-Péres, Jean-Bernard Lasserre (auth.) 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 huge box concerned about all of the points concerning creation, from the very backside judgements on the computer point, to the top-level strategic decisicns. during this booklet, we're serious about construction making plans and scheduling points. conventional creation making plans methodologies are in line with a now largely ac­ cepted hierarchical decom?osition into numerous making plans selection degrees. the better within the hierarchy, the extra mixture are the versions and the extra vital are the choices. during this publication, we purely think about 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 choices 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 via these already taken at higher degrees and in flip, needs to translate into possible goals for the subsequent reduce degrees within the hierarchy. it's a good judgment comment to assert that the total hierarchical determination strategy is coherent if the interactions among assorted 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 selection point within the hierarchy. in spite of the fact that, and surpris­ ingly sufficient, this important consistency factor isn't investigated and few effects come in the literature.

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Extra resources for An Integrated Approach in Production Planning and Scheduling

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We implemented the classical procedure to generate schedules, described for instance in [Conway et al. 67]. , the set of the operations which can be chosen at a given time. {Sao} is a subset of the set of operations whose predecessors have been scheduled. When some operation is chosen in {Sao}, this operation is removed and replaced by the next operation in the routing, if any. There are two ways of partitioning {Sao}: job and machine partitions. We chose machine partition, the most commonly used.

Let {Sip} be the set of in-process operations, that can also be partitioned into m subset {S~} with a single element (since a machine can only process one job at a time). Ck denotes he completion time of the operation in {S~}, rijk the release date (the completion time of the previous operation in the routing or 0 if it is the first operation) of operation 0ijk in {S:ol, and Pijk the processing time of this operation. Conclusion 43 Then, max(Ck' rijk) and max(Ck,rijk) +Pijk are the respective minimum start time and completion time of operation Oijk in {S:o}' There are two main methods to determine the subset {S:o} in which the next operation will be selected: 1.

Here, one tries to find a sequence y' better than y (what "better" means will become clear later). This problem being N'P-hard, for efficiency reasons, a heuristic is used at this level. We first present the notation used in the models at both planning and scheduling levels. Then, the integrated planning and scheduling model is translated into a linear model in continuous variables when there is no set-up time and in mixed-integer variables otherwise. , they state that there exists a feasible schedule to achieve that plan.

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