Design optimization of stochastic dynamic systems by algebraic reduced order models

[1]  Rüdiger Rackwitz,et al.  Two basic problems in reliability-based structural optimization , 1997, Math. Methods Oper. Res..

[2]  J. Beck,et al.  First excursion probabilities for linear systems by very efficient importance sampling , 2001 .

[3]  R. Rackwitz,et al.  Socio-economically sustainable civil engineering infrastructures by optimization , 2005 .

[4]  A. Der Kiureghian,et al.  Multinormal probability by sequential conditioned importance sampling : theory and application , 1998 .

[5]  Rüdiger Rackwitz,et al.  Optimization — the basis of code-making and reliability verification , 2000 .

[6]  R. Rackwitz,et al.  Time-variant reliability-oriented structural optimization and a renewal model for life-cycle costing , 2004 .

[7]  M. Powell.  A Direct Search Optimization Method That Models the Objective and Constraint Functions by Linear Interpolation , 1994 .

[8]  Hans O. Madsen,et al.  A Comparison of Some Algorithms for Reliability Based Structural Optimization and Sensitivity Analysis , 1992 .

[9]  R. Rackwitz,et al.  First-order concepts in system reliability , 1982 .

[10]  Rüdiger Rackwitz,et al.  Time-variant reliability-based structural optimization using sorm , 2000 .

[11]  Hayriye Ayhan,et al.  An approach for computing tight numerical bounds on renewal functions , 1999 .

[12]  I. Enevoldsen,et al.  Optimization algorithms for calculation of the joint design point in parallel systems , 1992 .

[13]  Mahesh D. Pandey,et al.  An effective approximation to evaluate multinormal integrals , 1998 .

[14]  R. Rackwitz,et al.  An efficient numerical solution to the multinormal integral , 1988 .

[15]  S. Gollwitzer,et al.  Equivalent components in first-order system reliability , 1983 .

[16]  R. Rackwitz.  Reliability analysis—a review and some perspectives , 2001 .

[17]  Bennett Fox,et al.  Letter to the Editor - Age Replacement with Discounting , 1966, Oper. Res..

[18]  C. Dunnett,et al.  Approximations to the probability integral and certain percentage points of a multivariate analogue of Student's t-distribution* , 1955 .