the paper deals with shape optimization of dynamic contact problem with Coulomb friction for viscoelastic bodies. the mass nonpenetrability condition is formulated in velocities. the friction coefficient is assumed to...
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ISBN:
(纸本)1402075650
the paper deals with shape optimization of dynamic contact problem with Coulomb friction for viscoelastic bodies. the mass nonpenetrability condition is formulated in velocities. the friction coefficient is assumed to be bounded. Using material derivative method as well as the results concerning the regularity of solution to dynamic variational inequality the directional derivative of the cost functional is calculated and necessary optimality condition is formulated.
In this paper we motivate and analyze a version of the implicit filtering algorithm by viewing it as an extension of coordinate search. We then show how implicit filtering can be combined withthe damped Gauss-Newton ...
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ISBN:
(纸本)1402075650
In this paper we motivate and analyze a version of the implicit filtering algorithm by viewing it as an extension of coordinate search. We then show how implicit filtering can be combined withthe damped Gauss-Newton method to solve noisy nonlinear least squares problems.
Traditional models in multistage stochastic programming are directed to minimizing the expected value of random optimal costs arising in a multistage, non-anticipative decision process under uncertainty. Motivated by ...
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ISBN:
(纸本)1402075650
Traditional models in multistage stochastic programming are directed to minimizing the expected value of random optimal costs arising in a multistage, non-anticipative decision process under uncertainty. Motivated by risk aversion, we consider minimization of the probability that the random optimal costs exceed some preselected threshold value. For the two-stage case, we analyse structural properties and propose algorithms both for models with integer decisions and for those without. Extension of the modeling to the multistage situation concludes the paper.
optimization techniques are essential ingredients of reliability-oriented optimal designs of technical facilities. Although many technical aspects are not yet solved and the available spectrum of models and methods in...
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ISBN:
(纸本)1402075650
optimization techniques are essential ingredients of reliability-oriented optimal designs of technical facilities. Although many technical aspects are not yet solved and the available spectrum of models and methods in structural reliability is still limited many practical problems can be solved. A special one-level optimization is proposed for general cost-benefit analysis and some technical aspects are discussed. However, focus is on some more critical issues, for example, "what is a reasonable replacement strategy for structural facilities?", "how safe is safe enough?" and "how to discount losses of material, opportunity and human lives?". An attempt has been made to give at least partial answers.
Realistic optimal control problems from flight mechanics are currently solved by sophisticated direct or indirect methods in a fast and reliable way. Often one is not only interested in the optimal solution of one con...
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ISBN:
(纸本)1402075650
Realistic optimal control problems from flight mechanics are currently solved by sophisticated direct or indirect methods in a fast and reliable way. Often one is not only interested in the optimal solution of one control problem, but is also strongly interested in the sensitivity of the optimal solution due to perturbations in certain parameters (constants or model functions) of the process. In the past this problem was solved by time-consuming parameter studies: A large number of almost similar optimal control problems were solved numerically. Sensitivity derivatives were approximated by finite differences. Recently a new approach, called parametric sensitivity analysis, was adapted to the direct solution of optimal control processes [3]. It uses the information gathered in the optimal solution of the unperturbed (nominal) optimal control problem to compute sensitivity differentials of all problem functions with respect to these parameters. this new approach is described in detail for an example from trajectory optimization.
Standard interior-point algorithms usually show a poor performance when applied to multicommodity network flow problems. A recent specialized interior-point algorithm for linear multicommodity network flows overcame t...
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ISBN:
(纸本)1402075650
Standard interior-point algorithms usually show a poor performance when applied to multicommodity network flow problems. A recent specialized interior-point algorithm for linear multicommodity network flows overcame this drawback, and was able to efficiently solve large and difficult instances. In this work we perform a computational evaluation of an extension of that specialized algorithm for multicommodity problems with convex and separable quadratic objective functions. As in the linear case, the specialized method for convex separable quadratic problems is based on the solution of the positive definite systemthat appears at each interior-point iteration through a scheme that combines direct (Cholesky) and iterative (preconditioned conjugate gradient) solvers. the preconditioner considered for linear problems, which was instrumental in the performance of the method, has shown to be even more efficient for quadratic problems. the specialized interior-point algorithm is compared withthe general barrier solver of CPLEX 6.5, and withthe specialized codes PPRN and ACCPM, using a set of convex separable quadratic multicommodity instances of up to 500000 variables and 180000 constraints. the specialized interior-point method was, in average, about 10 times and two orders. of magnitude faster than the CPLEX 6.5 barrier solver and the other two codes, respectively.
deals with new developments in the areas of optimization, optimal control and systemmodeling. the themes range across various areas of optimization: continuous and discrete, numerical and analytical, finite and infin...
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ISBN:
(数字)9780387356990
ISBN:
(纸本)9781402075650;9781475766691
deals with new developments in the areas of optimization, optimal control and systemmodeling. the themes range across various areas of optimization: continuous and discrete, numerical and analytical, finite and infinite dimensional, deterministic and stochastic, static and dynamic, theory and applications, foundations and case studies. Besides some classical topics, modern areas are also presented in the contributions, including robust optimization, filter methods, optimization of power networks, data mining and risk control.;this volume contains invited and selected papers from presentations at the 20thifiptc7conference on systemmodeling and optimization, which took place at the University of Trier, Germany from July 23 to 27, 2001, and which was sponsored by the International Federation for Information Processing (ifip).
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