Intelligent interactive multiobjective optimization method and its application to reliability optimization

In most practical situations involving reliability optimization, there are several mutually conflicting goals such as maximizing the system reliability and minimizing the cost, weight and volume. This paper develops an effective multiobjective optimization method, the Intelligent Interactive Multiobjective Optimization Method (IIMOM). In IIMOM, the general concept of the model parameter vector is proposed. From a practical point of view, a designer's preference structure model is built using Artificial Neural Networks (ANNs) with the model parameter vector as the input and the preference information articulated by the designer over representative samples from the Pareto frontier as the desired output. Then with the ANN model of the designer's preference structure as the objective, an optimization problem is solved to search for improved solutions and guide the interactive optimization process intelligently. IIMOM is applied to the reliability optimization problem of a multi-stage mixed system with five different value functions simulating the designer in the solution evaluation process. The results illustrate that IIMOM is effective in capturing different kinds of preference structures of the designer, and it provides a complete and effective solution for medium- and small-scale multiobjective optimization problems.

[1]  Wei Chen,et al.  Exploration of the effectiveness of physical programming in robust design , 2000 .

[2]  Minghe Sun,et al.  Artificial neural network representations for hierarchical preference structures , 1996, Comput. Oper. Res..

[3]  Hans-Jürgen Zimmermann,et al.  Fuzzy global optimization of complex system reliability , 2000, IEEE Trans. Fuzzy Syst..

[4]  A. Dhingra Optimal apportionment of reliability and redundancy in series systems under multiple objectives , 1992 .

[5]  Lorraine R. Gardiner,et al.  Unified interactive multiple objective programming , 1994 .

[6]  Kyung S. Park Fuzzy Apportionment of System Reliability , 1987, IEEE Transactions on Reliability.

[7]  Masatoshi Sakawa Interactive Multiobjective Optimization by the Sequential Proxy Optimization Technique (SPOT) , 1982, IEEE Transactions on Reliability.

[8]  Minghe Sun,et al.  Interactive multiple objective programming using Tchebycheff programs and artificial neural networks , 2000, Comput. Oper. Res..

[9]  Ralph E. Steuer,et al.  A Heuristic for Estimating Nadir Criterion Values in Multiple Objective Linear Programming , 1997, Oper. Res..

[10]  Singiresu S Rao,et al.  Reliability and redundancy apportionment using crisp and fuzzy multiobjective optimization approaches , 1992 .

[11]  Toshiyuki Inagaki,et al.  Interactive Optimization of System Reliability Under Multiple Objectives , 1978, IEEE Transactions on Reliability.

[12]  Wan Seon Shin,et al.  Interactive multiple objective optimization: Survey I - continuous case , 1991, Comput. Oper. Res..

[13]  Minghe Sun,et al.  Solving Multiple Objective Programming Problems Using Feed-Forward Artificial Neural Networks: The Interactive FFANN Procedure , 1996 .

[14]  M. Sakawa Multiobjective Optimization by the Surrogate Worth Trade-off Method , 1978, IEEE Transactions on Reliability.