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The Production Planning Problem: Clearing Functions, Variable Lead Times, Delay Equations and Partial Differential Equations

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Decision Policies for Production Networks

Abstract

Determining the production rate of a factory as a function of current and previous states is at the heart of the production planning problem. Different approaches to this problem presented in this book are reviewed and their relationship is discussed. Necessary conditions for the success of a clearing function as a quasi steady approximation are presented and more sophisticated approaches allowing the prediction of outflow in transient situations are discussed. Open loop solutions to the deterministic production problem are introduced and promising new research directions are outlined.

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Acknowledgements

This research was supported in parts by a grant from the Stiftung Volkswagenwerk, by NSF grant DMS 1023101 and by the INTEL Research Council.

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Correspondence to D. Armbruster .

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© 2012 Springer-Verlag London

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Armbruster, D. (2012). The Production Planning Problem: Clearing Functions, Variable Lead Times, Delay Equations and Partial Differential Equations. In: Armbruster, D., Kempf, K. (eds) Decision Policies for Production Networks. Springer, London. https://doi.org/10.1007/978-0-85729-644-3_12

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