@Article{cmc.2010.018.021,
AUTHOR = {C.  Jiang, Y.C.  Bai, X.  Han, H.M.  Ning},
TITLE = {An Efficient Reliability-based Optimization Method for Uncertain Structures Based on Non-probability Interval Model},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {18},
YEAR = {2010},
NUMBER = {1},
PAGES = {21--42},
URL = {http://www.techscience.com/cmc/v18n1/22565},
ISSN = {1546-2226},
ABSTRACT = {In this paper, an efficient interval optimization method based on a reliability-based possibility degree of interval (RPDI) is suggested for the design of uncertain structures. A general nonlinear interval optimization problem is studied in which the objective function and constraints are both nonlinear and uncertain. Through an interval order relation and a reliability-based possibility degree of interval, the uncertain optimization problem is transformed into a deterministic one. A sequence of approximate optimization problems are constructed based on the linear approximation technique. Each approximate optimization problem can be changed to a traditional linear programming problem, which can be easily solved by the simplex method. An iterative framework is also created, in which the design space is updated adaptively and a fine optimum can be well reached. Two numerical examples are investigated to demonstrate the effectiveness of the present method. Finally, it is employed to perform the optimization design of a practical automobile frame.},
DOI = {10.3970/cmc.2010.018.021}
}