Recursive Computational Procedure for Two-dimensional Stock Cutting

1972 ◽  
Vol 16 (5) ◽  
pp. 462-469 ◽  
Author(s):  
J. C. Herz
1977 ◽  
Vol 99 (1) ◽  
pp. 205-212 ◽  
Author(s):  
R. I. Issa ◽  
F. C. Lockwood

An economical, “parabolic/hyperbolic hybrid,” numerical prediction procedure, employing marching integration, is presented for the computation of supersonic flows of the boundary layer class in which embedded pressure waves are present. The hyperbolic component is based on the method of characteristics, while the computational procedure of Patankar and Spalding constitutes the parabolic component. The method is evaluated against analytic solutions for inviscid flows and against experiment for laminar and turbulent near-wall flows. Calculations for laminar and turbulent free shear flows are also presented. The method performs well when the viscous/wave interaction is not strong enough to induce significant “upstream influence.”


Axioms ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 48 ◽  
Author(s):  
Luciano Stefanini ◽  
Barnabas Bede

In the setting of Minkowski set-valued operations, we study generalizations of the difference for (multidimensional) compact convex sets and for fuzzy sets on metric vector spaces, extending the Hukuhara difference. The proposed difference always exists and allows defining Pompeiu-Hausdorff distance for the space of compact convex sets in terms of a pseudo-norm, i.e., the magnitude of the difference set. A computational procedure for two dimensional sets is outlined and some examples of the new difference are given.


Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Dianchen Lu ◽  
Muhammad Suleman ◽  
Jamshaid Ul Rahman ◽  
Samad Noeiaghdam ◽  
Ghulam Murtaza

The core aim of this study is to propose a novel computational procedure, namely, Elzaki transform iterative method to work out two-dimensional nonlinear time-fractional Zakharov–Kuznetsov equation numerically. We execute the suggested iterative procedure on two models and results are presented graphically in the form of surface plot and absolute error is compared with the VIM and HPM to show that the method is more powerful than VIM and HPM and deduce that the offered numerical pattern is more efficient in simulating linear and nonlinear fractional order models.


1996 ◽  
Vol 50 (7) ◽  
pp. 861-865 ◽  
Author(s):  
Jean-René Burie

A very powerful generalized two-dimensional correlation method applicable to various types of spectroscopy involving signals dependent on various physical variables (e.g., time) was recently developed and reported. In order to obtain an easy computational procedure, the effect of the practical limitation of the data along the time axis to N is considered. This information gives rise to a new formula for the disrelation spectrum. This modified disrelation spectrum is shown to still be useful in the differentiation of overlapping peaks, even when N is small.


VLSI Design ◽  
1995 ◽  
Vol 3 (2) ◽  
pp. 179-200 ◽  
Author(s):  
J. P. Kreskovsky ◽  
H. L. Grubin

Transport in one- and two-dimensional semiconductor device structures is considered using a set of quantum corrected hydrodynamic equations. Simple one-dimensional simulations demonstrate the need to include quantum effects in structures with sharp interfaces. Application to a two-dimensional quantum well HEMT structure is then considered. A brief discussion of the computational procedure is also presented.


1983 ◽  
Vol 105 (3) ◽  
pp. 155-160 ◽  
Author(s):  
S. C. Sarin

In this paper methodologies available in the literature to solve two-dimensional stock cutting problems are reviewed. Several variations of the problem are discussed. An interactive optimization procedure for a general two-dimensional stock cutting problem is introduced.


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