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

• Autorzy: Paczkowski W. M. , Jendo S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

ortho-diagonal method; discrete polyoptimization; spatial structure

PL

metoda ortodiagonalna; polioptymalizacja dyskretna; struktura przestrzenna

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1999
• Tom: Vol. 6, No. 2
• Strony: 137--162
• Opis fizyczny: Bibliogr. 18 poz., tab., wykr.

Twórcy

autor

Paczkowski W. M.

• Department of Civil Engineering and Architecture, Technical University of Szczecin, al. Piastów 50, 70-311 Szczecin

autor

Jendo S.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland

Bibliografia

• [1] A. Ameljańczyk. Multicriteria Optimization in Control and Management Problems (in Polish). Ossolineum, Wrocław, 1984.
• [2] J. Bauer. A survey of methods for discrete optimum structural design. Computer Assisted Mechanics and Engineering Sciences, 1(1/2): 27-38, 1994.
• [3] J. Bauer, W. Gutkowski, Z. Iwanow. Optimum design of regular space structures. In: H. Nooshin, ed., Proc. of the Third Int. Conf. on Space Structures, University of Surrey, Guildford, UK, 11-14 Sept. 1984, 672-676. Elsevier Applied Science Publishers Ltd., London-New York, 1984.
• [4] W. Bogucki, M. Żyburtowicz. Tables for design of metallic structures (in Polish). Arkady, Warszawa, 1984 (V ed.), 1996 (VI ed.).
• [5] J. Bródka, A. Czechowski, A. Grudka, J. Karczewski, J. Kordjak, Z. Kowal, M. Kwaśniewski, M. Łubiński. Spatial grid structures (in Polish). Arkady, Warszawa, 1985.
• [6] D. E. Goldberg. Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Reading, 1989 (Polish edition - WNT, Warszawa, 1995).
• [7] W. Gutkowski. Optimization a basis for lightweight design. In: J. Obrębski, ed., Proc. of Int. Conf. on Lightweight Structures in Civil Engineering, LSCE '95, Warsaw, Poland, 25-29 Sept. 1995, 163-168, 1995.
• [8] S. Jendo, W. M. Paczkowski. Application of the ortho-diagonal discrete optimization method in double-layer space truss design. In: S. Hernandez, C. A. Brebbia, eds., Optimization of Structural Systems and Applications. Third Int. Conf. on Computer Aided Optimum Design of Structures, 7-9 July 1993, Zaragoza, Spain, CMP, 415-430. Elsevier, Southampton-Boston, 1993.
• [9] S. Jendo, W. M. Paczkowski. Multicriteria discrete optimization of large scale truss systems. Structural Opti- mization, 6(4): 238-294, 1993.
• [10] Z. S. Makowski. ed., Analysis, Design and Construction of Double-Layer Grids. Applied Science Publishers Ltd., London, 1981.
• [11] J. Montusiewicz. A certain method of searching the representative solutions (in Polish). In: Tarnowski W., Kiczkowiak T. eds., Polyoptimization and Computer Aided Design, Mielno '91 and '92, 46-69. No. 16 WM, WSI, Koszalin, 1994.
• [12] J. Niczyj, W. M. Paczkowski, T. Woźny. Expert system of controlling a program for structural optimization - OPTIM. Proc of the X Polish Conf. Computer Methods in Mechanics, 551-558, Świnoujście, Poland, 1991.
• [13] A. Osyczka. Computer Aided Multicriterion Optimization System (CAMOS). Software Package in FORTRAN. Int. Software Publishers, Kraków, 1992.
• [14] W. M. Paczkowski. OPTIM - nonlinear discrete optimization program. Proc. of the X Polish Conf. Computer Methods in Mechanics, Świnoujście, Poland, 607-614, 1991.
• [15] W. M Paczkowski. Performance of ortho-diagonal method in constrained feasible domain (in Polish), In: Tarnowski W., Kiczkowiak T. eds., Polyoptimization and Computer Aided Design, Mielno '91 and '92, 202-212. No. 16 WM, WSInż., Koszalin, 1994.
• [16] W. M. Paczkowski. Dead loading in geometry optimization of two-layers orthogonal trusses (in Polish). Inżynieria i Budownictwo, 51(5): 226-230, 1994.
• [17] W. M. Paczkowski, A. Badower. The selection of cross sections catalogue for space trusses of different span. In: W. Gutkowski, Z. Mróz, eds., WCSMO-2 Second World Congress of Structural and Multidisciplinary Optimizatton, May 26-30, 1997, Zakopane, Poland, Vol. 2:773-778, IFTR PAS, Published by Ekoinżynieria, Lublin, 1997.
• [18] M. Peschel, C. Riedel. Polioptimierung eine Entscheidungshilfe für ingenteurtechnische Kompromisslösungen. VEB Verlag Technik, Berlin, 1976 (Polish edition - WNT, Warszawa, 1979).