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Gearing optimization
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Lozin, Vadim V. (2008) Gearing optimization. Optimization and Engineering, Vol.9 (No.2). pp. 201-211. doi:10.1007/s11081-007-9028-9 ISSN 1389-4420.
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Official URL: http://dx.doi.org/10.1007/s11081-007-9028-9
Abstract
We consider an optimization problem that arises in machine-tool design. It deals with optimization of the structure of gearbox, which is normally represented by a graph. The edges of such a graph correspond to pairs of gear-wheels and the vertices stand for velocities. There is a designated input vertex and a set of output vertices. The problem is to create a graph with given number of output vertices while minimizing the total number of vertices. We present an integer programming formulation of this problem and propose an efficient solution in the special case of regular graphs.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Machine-tools -- Design and construction, Gearing -- Design and construction -- Mathematical models, Gearing -- Dynamics, Integer programming, Graphic methods, Mathematical optimization | ||||
Journal or Publication Title: | Optimization and Engineering | ||||
Publisher: | Springer | ||||
ISSN: | 1389-4420 | ||||
Official Date: | June 2008 | ||||
Dates: |
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Volume: | Vol.9 | ||||
Number: | No.2 | ||||
Number of Pages: | 11 | ||||
Page Range: | pp. 201-211 | ||||
DOI: | 10.1007/s11081-007-9028-9 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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