Generating Set Partitioning Test Problems with Known Optimal Integer Solutions

2006 ◽  
pp. 29-44 ◽  
Author(s):  
Edward K. Baker ◽  
Anito Joseph ◽  
Brenda Rayco
Keyword(s):  
Set Partitioning ◽  
Test Problems ◽  
Generating Set ◽  
Integer Solutions

scholarly journals Searching for optimal integer solutions to set partitioning problems using column generation

2013 ◽  
Vol 21 (2) ◽  
pp. 177-197 ◽  
Author(s):  
D. Bredström ◽  
K. Jörnsten ◽  
M. Rönnqvist ◽  
M. Bouchard
Keyword(s):  
Column Generation ◽  
Set Partitioning ◽  
Partitioning Problems ◽  
Integer Solutions

scholarly journals Set covering and set partitioning: A collection of test problems

Omega ◽  
1990 ◽  
Vol 18 (2) ◽  
pp. 195-201 ◽  
Author(s):  
E El-Darzi ◽  
G Mitra
Keyword(s):  
Set Partitioning ◽  
Set Covering ◽  
Test Problems

Tire Modeling by Finite Elements

1992 ◽  
Vol 20 (1) ◽  
pp. 33-56 ◽  
Author(s):  
L. O. Faria ◽  
J. T. Oden ◽  
B. Yavari ◽  
W. W. Tworzydlo ◽  
J. M. Bass ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Rolling Contact ◽  
Test Problems ◽  
State Behavior ◽  
Normal Contact ◽  
New Developments ◽  
Applied Torque ◽  
Dimensional Finite Element ◽  
Tire Modeling ◽  
Three Dimensional Finite Element

Abstract Recent advances in the development of a general three-dimensional finite element methodology for modeling large deformation steady state behavior of tire structures is presented. The new developments outlined here include the extension of the material modeling capabilities to include viscoelastic materials and a generalization of the formulation of the rolling contact problem to include special nonlinear constraints. These constraints include normal contact load, applied torque, and constant pressure-volume. Several new test problems and examples of tire analysis are presented.

On Spectral-Homotopy Perturbation Method Solution of Nonlinear Differential Equations in Bounded Domains

2013 ◽  
Vol 1 (1) ◽  
pp. 25-37
Author(s):  
Ahmed A. Khidir
Keyword(s):  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Nonlinear Boundary ◽  
Nonlinear Differential Equations ◽  
Iteration Algorithm ◽  
Test Problems ◽  
Nonlinear Boundary Value Problems ◽  
Homotopy Perturbation ◽  
Spectral Technique ◽  
Homotopy Analysis

In this study, a combination of the hybrid Chebyshev spectral technique and the homotopy perturbation method is used to construct an iteration algorithm for solving nonlinear boundary value problems. Test problems are solved in order to demonstrate the efficiency, accuracy and reliability of the new technique and comparisons are made between the obtained results and exact solutions. The results demonstrate that the new spectral homotopy perturbation method is more efficient and converges faster than the standard homotopy analysis method. The methodology presented in the work is useful for solving the BVPs consisting of more than one differential equation in bounded domains. 

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