Optimal Manufacturing Trees

D'Atri, Alessandro and Motro, Amihai and Gafni, Eli (2005) Optimal Manufacturing Trees. [Technical Report]. George Mason University, Fairfax, Virginia. p. 14.

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We consider the process of manufacturing a product from a given number of elementary components. By assembling intermediate products, the target product can be manufactured in a variety of processes, each modeled by a tree. We are interested in manufacturing turnaround: the time between receiving an order at the root and its completion. We express the turnaround time of each manufacturing process (tree) with a formula that incorporates three parameters: the time required to create elementary components, the time required to assemble a product from its components and the time required to deliver the product to its procurer (another manufacturer). We show that this turnaround formula is optimized in a manufacturing process that corresponds to a perfect (or nearly perfect) tree. The degree of the optimal tree (i.e., the ideal number of components in each sub-assembly) is shown to be independent of the number of elementary components, suggesting that in each manufacturing environment there is an ideal assembly size, which is optimal for the manufacturing of products of any scale.


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Item Type: Report / Paper (Technical Report)
Research documents and activity classification: Working Papers > Refereed Working Papers / of international relevance
Divisions: Department of Business and Management > CeRSI (Information Systems Research Centre)
Uncontrolled Keywords: Fabbricazione. Modello matematico
MIUR Scientific Area: Area 13 - Economics and Statistics > SECS-P/10 Business Organisation
DOI: ISE-TR-05-03
Deposited by: Silvia Capobianchi
Date Deposited: 17 Jun 2009 07:38
Last Modified: 21 Apr 2015 23:10
URI: http://eprints.luiss.it/id/eprint/80


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