1996
DOI: 10.2514/3.46961
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Physical programming design optimization for High Speed Civil Transport

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Cited by 35 publications
(7 citation statements)
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“…With this simple process, without splines and mathematical properties, the OVO rule is guaranteed by the increasing curvature of the square function (Messac and Hattis 1996).…”
Section: The Modified Physical Programming (Mpp) Optimization Methodsmentioning
confidence: 99%
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“…With this simple process, without splines and mathematical properties, the OVO rule is guaranteed by the increasing curvature of the square function (Messac and Hattis 1996).…”
Section: The Modified Physical Programming (Mpp) Optimization Methodsmentioning
confidence: 99%
“…PP has been successfully applied to many different design problems including structural design of aircraft wings (Messac and Hattis 1996), propeller design (Chen et al 2000), robust feedback control (Messac and Wilson 1999), production planning (Messac et al 2002), and customer satisfaction in product design (Xin et al 2006). This range of applications demonstrates the usefulness of the PP method.…”
Section: An Introduction To Physical Programmingmentioning
confidence: 99%
“…In this case new weights need to be defined to resolve the problem. Messac and Hattis (1996) showed that weights must be a function of the original objectives, not constants, in order for a weighted sum to mimic a preference function accurately. Second, the weighted sums method is not able to capture solutions on the non-convex regions of the Pareto frontier.…”
Section: Pareto Set Generation Methodsmentioning
confidence: 99%
“…The physical programming method was initially introduced by Messac and Hattis (1996) to provide a means of incorporating preferences without the need to define relative weights (Chen et al (2000)). Objective functions, constraints and goals are treated equally and combined into design metrics.…”
Section: Pareto Set Generation Methodsmentioning
confidence: 99%
“…The maxi-min method can be used only when all criteria are comparable so that they can be measure on a common scale, which is a limitation. Messac and Hattis (1996) apply physical programming to the design of high-speed transport planes. Messac and Wilson (1998) apply physical programming to the design of a robust controller for a two degree-of-freedom spring-and-mass system.…”
Section: Review Of Multi-criteria Optimization Methods -Theory and Apmentioning
confidence: 99%