An Adaptive Algorithm for Multiple Part Families Manufacturing Selection in Reconfigurable Flow Lines

Author(s):  
Masood Ashraf ◽  
Arkadiusz Gola ◽  
Faisal Hasan ◽  
Ali S. AlArjani
2018 ◽  
Vol 138 (11) ◽  
pp. 1355-1361
Author(s):  
Masaki Kobayashi ◽  
Naoto Sasaoka ◽  
Yoshio Itoh

2007 ◽  
Vol 7 (1) ◽  
pp. 25-47 ◽  
Author(s):  
I.P. Gavrilyuk ◽  
M. Hermann ◽  
M.V. Kutniv ◽  
V.L. Makarov

Abstract The scalar boundary value problem (BVP) for a nonlinear second order differential equation on the semiaxis is considered. Under some natural assumptions it is shown that on an arbitrary finite grid there exists a unique three-point exact difference scheme (EDS), i.e., a difference scheme whose solution coincides with the projection of the exact solution of the given differential equation onto the underlying grid. A constructive method is proposed to derive from the EDS a so-called truncated difference scheme (n-TDS) of rank n, where n is a freely selectable natural number. The n-TDS is the basis for a new adaptive algorithm which has all the advantages known from the modern IVP-solvers. Numerical examples are given which illustrate the theorems presented in the paper and demonstrate the reliability of the new algorithm.


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