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stochastic optimization problem

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Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005505
EISBN: 978-1-62708-197-9
... and the optimization methods that solve them. These problems include the deterministic single-objective problem, the deterministic multiobjective problem, and the nondeterministic, stochastic optimization problem. The article presents several complementary approaches to solve a wide variety of single-objective...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002446
EISBN: 978-1-62708-194-8
.... , A Shape Optimization Approach Based on Natural Design Variables and Shape Functions , Comput. Meth. Appl. Mech. Eng. , Vol 66 , 1988 , p 87 – 106 15. Yang R.J. , Lee A. , and McGeen D.T. , Application of Basis Function Concept to Practical Shape Optimization Problems , Struct...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005534
EISBN: 978-1-62708-197-9
... 993 – 998 3. Koch P.N. , Simpson T.W. , Allen J.K. , and Mistree F. , Statistical Approximations for Multidisciplinary Optimization: The Problem of Size , J. Aircraft , Vol 36 ( No. 1 ), 1999 , p 275 – 286 10.2514/2.2435 4. Myers R.H. , Montgomery D.C...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005509
EISBN: 978-1-62708-197-9
... mathematically). Some practical criteria must be applied to optimize the external shape of the capsule from a technological point of view. This problem is generated by the following issues. Due to the approximations introduced in the constituent equations of the mathematical models, the first prototype built...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005518
EISBN: 978-1-62708-197-9
... Fig. 1 Stochastic simulation of equiaxed eutectic solidification applied to a gray cast iron ingot. A constant heat flux is applied on the left border of the 0.03 by 0.11 m domain, while the other borders are assumed to be perfectly insulated. The cooling rate decreases globally...
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005892
EISBN: 978-1-62708-167-2
... Abstract Optimization plays a key role in the design of any structure or system, and electromagnetic devices are no exception. This article provides a description of the formulation of a design problem, and provides a review of the Paretian optimality. It focuses on nondominating sorting...
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006365
EISBN: 978-1-62708-192-4
... of the element in the system. Furthermore, environmental protection requires a shift toward low-additive oils, while the use of hard coatings in machine-element applications is still limited because of problems with the load-bearing capacity of the coatings and the compatibility with existing lubricants...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006772
EISBN: 978-1-62708-295-2
... the scientific method as used in the physical sciences. This includes the definition of the problem, collection of data, analysis of data, development of hypotheses, and testing and selection of the appropriate hypothesis. Reconstruction of an accident rarely deals with only a single scientific...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006801
EISBN: 978-1-62708-329-4
... operation, problems can occur. While the process is now more robust, failures during the forming operation at times still plague all members of the industry, from small companies to international manufacturers. Sheet forming failures divert resources from normal business activities and have significant...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002369
EISBN: 978-1-62708-193-1
... or prediction. It presents a probabilistic approach for analyzing the uncertainties and determining the level of reliability (probability of failure). References 1. Ross S.M. , Stochastic Processes , John Wiley & Sons , 1983 , p 114 – 115 2. Shigley J.E. and Mitchell L.D...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005501
EISBN: 978-1-62708-197-9
... 151. Cao G. and Kou S. , Hot Tearing of Ternary Mg-Al-Ca Alloy Castings , Metall. Mater. Trans. A , Vol 37 , Dec 2006 , p 3647 – 3663 152. Simo J.C. and Laursen T.A. , An Augmented Lagrangian Treatment of Contact Problems Involving Friction , Comput. Struct...
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006379
EISBN: 978-1-62708-192-4
... for Optimization of Interface Roughness , IEEE Trans. Magn ., Vol 32 ( No. 3 ), 1996 , p 1819 10.1109/20.492871 12. van Spengen W.M. , Puers R. , and De Wolf I. , A Physical Model to Predict Stiction in MEMS , J. Micromech. Microeng ., Vol 12 , 2002 , p 702 10.1088/0960-1317/12/5...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006463
EISBN: 978-1-62708-190-0
... on NDE Characterization Metrics for Optimization, Validation and Quality Control , Review of Progress in Quantitative Nondestructive Evaluation , Vol 34 , AIP Publishing , 2015 , p 845 – 855 56. Forsyth D.S. , Ocampo J. , Millwater H. , and Montex J. , “Structural Health...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005531
EISBN: 978-1-62708-197-9
... and sinter modeling to practical problems in PM. References 1. German R. , Powder Metallurgy and Particulate Materials Processing , Metal Powder Industries Federation , 2005 , p 235 2. Cundill P.A. and Strack O.D.L. , Discrete Numerical Model for Granular Assemblies...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005151
EISBN: 978-1-62708-186-3
... of Stamping Components,” Technical Papers 920639 and 920640, SAE Congress, 1992 • Aitharaju V. , Liu M. , Dong J. , Zhang J. , and Wang C.T. , Integrated Forming Simulations and Die Structural Analysis for Optimal Die Design , Proc. of NUMISHEET 2005 , 2005 , p 96 – 100...
Book Chapter

By R. Kopp, J. Schulz
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005132
EISBN: 978-1-62708-186-3
...: 140 balls, 4.0 mm diam, v B =6.1 m/s; stochastically distributed shot impacts; control of kinetic energy of single impacts with calculation of the contact, three-dimensional mesh; fine discretization in the middle of the sample; elastic-plastic material behaviour. (a) Before the simulation. (b...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005207
EISBN: 978-1-62708-187-0
... for the optimization of grain refinement operations. Within the general requirements for effective nucleants, there appear to be two general classes of compounds that are effective in aluminum-base alloys. Similar compound particle types apply to other common casting alloys. The first group includes Al 3 Ti, Al 3 Zr...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005636
EISBN: 978-1-62708-174-0
..., the phenomenological models that govern the physics of the problem are generally called forward models, and the problem of solving them is called a direct problem. These els are then coupled with optimization algorithms to minimize an objective function representing the error between calculated outputs and the desired...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003759
EISBN: 978-1-62708-177-1
... can be estimated from the measurements that can be performed on 2-D metallographic sections. It is well known that material microstructures are of stochastic nature. Consequently, no two microstructures are exactly alike; no two fields of view in a microstructure are exactly alike; and in most...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0009002
EISBN: 978-1-62708-185-6
..., a compromise is often necessary in the selection of conditions that give optimal workability versus those that yield a desired microstructure. The term workability is frequently applied in connection with the prevention of cracking or defects during working and the determination of flow stresses and total...