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1 Computer Assisted Mechanics and Engineering Sciences

1 1999

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An application of a decomposed ortho-diagonal method to discrete polyoptimization of a hall with spatial grid structure

Paczkowski W. M., Jendo S.

Computer Assisted Mechanics and Engineering Sciences

1999

Vol. 6, No. 2

137-162

The paper deals with application of the ortho-diagonal (O-D) method of finding the nondominated sets of solutions and evaluations for discrete polyoptimization problems. First, the (O-D) method was modified for finding minimum of a scalar function. The monotonicity property of a vector objective function is used by the (O-D) method for consecutive finding of j-th-criteria partial nondominated sets, j \in {1,2,...,J}. To find the nondominated evaluations sets the discrete neighbourhoods S of the point x_i are investigated starting from the solution x*_1 which minimizes the first objective function. In this way the consecutive nondominated solutions x*_{ND} are determined. An accuracy of solution and CPU computing time depend on the way the discrete neighbourhoods S of the point x_i in the design space are defined. The algorithm of the (O-D) method is applied to solve the discrete polyoptimization of a hall with spatial grid structure.