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deterministic single-objective 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: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005892
EISBN: 978-1-62708-167-2
... ,   i ,   j = 1 ,   n f . The conflict among objectives is just what prevents from minimizing all of them simultaneously. Traditionally, the multiobjective problem is reduced to a single-objective one by introducing a preference function ψ( x ), for example, the weighted sum...
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
... ). These probabilistic tools can be applied to fatigue-life and crack-growth problems in the following ways. For fatigue-life problems, one starts with a deterministic analysis capability for the time to failure. An objective function is created by defining a time to failure less than a specified target lifetime...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003515
EISBN: 978-1-62708-180-1
... Information System (ASSIST) [database online] (Philadelphia, Department of Defense Single Stock Point for Military Specifications and Standards, DODSSP, 2002 , [cited April 2002 ]), available at http://dodssp.daps.mil/assist.htm 32. Defense Standardization Program, in Department of Defense Resource...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002432
EISBN: 978-1-62708-194-8
...Deterministic versus probabilistic calculations for a thin-wall cylinder under internal pressure Table 1 Deterministic versus probabilistic calculations for a thin-wall cylinder under internal pressure See Example 6 in text for discussion. Case No. Pressure, MPa Standard deviation...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002490
EISBN: 978-1-62708-194-8
... for ceramics, but the typically brittle nature of ceramic materials can result in a wide variability in failure strength. The strength of a part is dictated by very small flaws manufactured in and induced during use on the object. A deterministic approach requires a very high safety factor because of the flaw...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006462
EISBN: 978-1-62708-190-0
... 1 indicates the defect detection/rejection limits for each quality class material. For example, quality class AA requires that single discontinuities be detected at a sensitivity level equivalent to a No. 3 (1.2 mm, or 3 64 in., diam) FBH. In addition, multiple discontinuities shall...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002392
EISBN: 978-1-62708-193-1
... that determine the distribution of times it takes a crack of some initial size to reach a specified reference size ( Ref 24 ). This distribution of times is referred to as the Time to Crack Initiation (TTCI) distribution. This approach differs from a deterministic analysis which assumes a single value...
Book Chapter

Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003088
EISBN: 978-1-62708-199-3
...) Safety analysis Design process/configuration Probabilistic or deterministic statistical approach Stress or load considerations Restrictions on size, weight, or volume Service hazards, such as cyclic loading or aggressive environment Failure anticipation Reliability, maintainability...
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 Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003523
EISBN: 978-1-62708-180-1
... subsequently follows the basic approach of the scientific method as used in the physical sciences. This includes the definition of the problem, collection of data, analysis of data, development of a hypothesis, and testing and selection of the appropriate hypothesis. Often, investigations are not able...
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
... are being performed and that there is measurement error when each value is determined. However, computational experiments are typically deterministic, in that a specific input leads to a single output each and every time the computation is performed, and errors are not due to random effects. Therefore...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006439
EISBN: 978-1-62708-190-0
... a different location and from a different perspective. The single images show the same object, especially particular, distinct points on the surface of this object, at different locations. In other words, each of the images show the object displaced. This displacement is related to the spatial distance...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002356
EISBN: 978-1-62708-193-1
... A strip yield model with discrete plastically stretched parts ahead of the physical crack tip and in the wake of the crack. Source: Rep 101 Fig. 13 Flight simulation load history of a single flight. (a) The top curve shows the deterministic load, and the bottom curve shows the superposition...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0003971
EISBN: 978-1-62708-185-6
... problem vary, the overall approach typically comprises three elements: choice of an objective function and constraints, calculation of the objective function (as may be done by the FEM simulation code), and a search for the combination of design parameters that provide a minimum or maximum...
Series: ASM Handbook
Volume: 13C
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v13c.a0004131
EISBN: 978-1-62708-184-9
... installation of equipment, or incorrect maintenance activities, also can induce accidental damage or have a detrimental effect and assist the aging process, for example, scouring of wire bundles on the surrounding structure. Factors that have a direct effect on the problems associated with military system...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003514
EISBN: 978-1-62708-180-1
..., the response surface method, and Monte Carlo sampling. A brief introduction to importance sampling, time-variant reliability, system reliability, and risk analysis and target reliabilities is also provided. The article examines the various application problems for which probabilistic analysis is an essential...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004027
EISBN: 978-1-62708-185-6
... a competitive edge. This requires improved insight and the development of physically based or “white-box” models, in which the evolution of each of the microstructure variables can be described in a deterministic way. Such models are generic and widely applicable to a range of alloys and thermomechanical...
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
... superior mechanical properties. To improve the service lifetime of the most exposed parts of gas turbines, the grain texture is optimized through directional solidification (DS) in a temperature gradient. The objective of the DS technology is to grow a structure of columnar grains along the direction...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002476
EISBN: 978-1-62708-194-8
... in the limit, and the random variable takes on a single value, that is, the central value identified here as x o . Because the Dirac delta function is being used to represent the load random variable, then x o represents the deterministic magnitude of the applied load. Keep in mind that the applied load...