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Proceedings Paper

Manufacturing systems based on perfect distribution phenomenon
Author(s): Marta Riznyk; Volodymyr Riznyk
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Paper Abstract

Perfect Distribution Conception, namely Ideal Ring Bundles can be used to find optimal solutions for manufacturing problems and advanced scientific researches in productivity enhancement based on combinatorial techniques. Ideal Ring Bundles (IRB) are cyclic sequences of integers which form perfect partitions of a finite interval (1,S) of integers. The sums of connected sub-sequences of IRB enumerate the set of integers (1,S) exactly R-times. Example : the IRB {1,7,2,3} containing four elements allows an enumeration of all numbers 1=1,2=2,3=3,4=3+1,5=2+3+1...13=1+7+2+3 exactly once (R=1). This property make IRBs useful in applications which need to partition sets with the smallest possible number of intersections. Application profiting from IRBs technique for example advanced manufacturing that has been shown in the paper.

Paper Details

Date Published: 13 October 2000
PDF: 4 pages
Proc. SPIE 4192, Intelligent Systems in Design and Manufacturing III, (13 October 2000); doi: 10.1117/12.403667
Show Author Affiliations
Marta Riznyk, Lviv Polytechnic State Univ. (Ukraine)
Volodymyr Riznyk, Univ. of Technology and Agriculture in Bydgoszcz (Poland)

Published in SPIE Proceedings Vol. 4192:
Intelligent Systems in Design and Manufacturing III
Bhaskaran Gopalakrishnan; Angappa Gunasekaran, Editor(s)

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