Manufacturing systems based on perfect distribution phenomenon

Marta Riznyk; Volodymyr Riznyk

doi:10.1117/12.403667

13 October 2000 Manufacturing systems based on perfect distribution phenomenon

Marta Riznyk, Volodymyr Riznyk

Proceedings Volume 4192, Intelligent Systems in Design and Manufacturing III; (2000) https://doi.org/10.1117/12.403667
Event: Intelligent Systems and Smart Manufacturing, 2000, Boston, MA, United States

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.

Citation Download Citation

Marta Riznyk and Volodymyr Riznyk "Manufacturing systems based on perfect distribution phenomenon", Proc. SPIE 4192, Intelligent Systems in Design and Manufacturing III, (13 October 2000); https://doi.org/10.1117/12.403667

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