  Reliability based design optimization (RBDO) problems are important in
engineering applications, but it is challenging to solve such problems. In this
study, a new resolution method based on the directional Bat Algorithm (dBA) is
presented. To overcome the difficulties in the evaluations of probabilistic
constraints, the reliable design space concept has been applied to convert the
yielded stochastic constrained optimization problem from the RBDO formulation
into a deterministic constrained optimization problem. In addition, the
constraint handling technique has also been introduced to the dBA so that the
algorithm can solve constrained optimization problem effectively. The new
method has been applied to several engineering problems and the results show
that the new method can solve different varieties of RBDO problems efficiently.
In fact, the obtained solutions are consistent with the best results in the
literature.
