Engineering Applications of Heuristic Multilevel Optimization Methods

Some engineering applications of heuristic multilevel optimization methods are presented and the discussion focuses on the dependency matrix that indicates the relationship between problem functions and variables. Decompositions are identified with dependency matrices that are full, block diagonal and block triangular with coupling variables. Coordination of the subproblem optimizations is shown to be typically achieved through the use of exact or approximate sensitivity analysis. Areas for further development are identified.

[1]  Jaroslaw Sobieszczanski-Sobieski,et al.  An Integrated Computer Procedure for Sizing Composite Airframe Structures. , 1979 .

[2]  Uri Klrtch.  An Improved Multilevel Structural Synthesis Method , 1985 .

[3]  G. N. Vanderplaats,et al.  Alternative methods for calculating sensitivity of optimized designs to problem parameters , 1987 .

[4]  K. M. Riley,et al.  Sensitivity of Optimum Solutions of Problem Parameters , 1982 .

[5]  Augustine R. Dovi,et al.  Multilevel/multidisciplinary optimization scheme for sizing a transport aircraft wing , 1987 .

[6]  Ovadia E. Lev.  Sequential Geometric Optimization , 1981 .

[7]  Jaroslaw Sobieszczanski,et al.  A Mixed Optimization Method for Automated Design of Fuselage Structures , 1972 .

[8]  Bolennarth Svensson,et al.  A substructuring approach to optimum structural design , 1987 .

[9]  G. C. Contaxis,et al.  Decoupled Optimal Load Flow Using Linear or Quadratic Programming , 1986, IEEE Transactions on Power Systems.

[10]  J. Sobieszczanski-Sobieski,et al.  Sensitivity of optimum solutions to problem parameters. [in aircraft design] , 1981 .

[11]  Duc T. Nguyen,et al.  Multilevel substructuring sensitivity analysis , 1987 .

[12]  A.S.L. Chan,et al.  A method for the configurational optimisation of structures , 1976 .

[13]  G. N. Vanderplaats,et al.  An efficient multilevel optimization method for engineering design , 1988 .

[14]  David G. Carmichael,et al.  Structural modelling and optimization , 1981 .

[15]  J. Barthelemy,et al.  Improved multilevel optimization approach for the design of complex engineering systems , 1988 .

[16]  Robert E. Fulton,et al.  Application of computer-aided aircraft design in a multidisciplinary environment. , 1974 .

[17]  Raphael T. Haftka,et al.  Sensitivity Analysis in Engineering , 1987 .

[18]  L. Schmit,et al.  A multilevel method for structural synthesis , 1984 .

[19]  R. Haftka,et al.  Efficient single-level solution of hierarchical problems in structural optimization , 1990 .

[20]  F. W. Ahrens,et al.  Design of optimum compressed air energy-storage systems , 1979 .

[21]  Owen Hughes.  A METHOD FOR NONLINEAR OPTIMUM DESIGN OF LARGE STRUCTURES, AND APPLICATIONS TO NAVAL SHIP DESIGN , 1981 .

[22]  Gary L. Giles,et al.  Procedure for Automating Aircraft Wing Structural Design , 1970 .

[23]  P. Datseris,et al.  Weight minimization of a speed reducer by heuristic and decomposition techniques , 1982 .

[24]  Jaroslaw Sobieszczanski-Sobieski,et al.  Structural optimization by generalized, multilevel optimization , 1985 .

[25]  J. Sobieszczanski-Sobieski,et al.  Optimum sensitivity derivatives of objective functions in nonlinear programming , 1983 .

[26]  John W. Bandler,et al.  An Automatic Decomposition Approach to Optimization of Large Microwave Systems , 1987 .

[27]  Raphael T. Haftka.  Damage tolerant design using collapse techniques , 1983 .

[28]  J. Sobieszczanski-Sobieski,et al.  A linear decomposition method for large optimization problems. Blueprint for development , 1982 .

[29]  Massood Mehrinfar,et al.  Multilevel optimum design of structures with fiber-composite stiffened-panel components , 1982 .

[30]  J. Sobieszczanski-Sobieski,et al.  Extrapolation of Optimum Design Based on Sensitivity Derivatives , 1983 .

[31]  R. Haftka.  An Improved Computational Approach for Multilevel Optimum Design , 1984 .

[32]  R. E. Fulton,et al.  Application of computer-aided aircraft design in a multidisciplinaryenvironment , 1973 .

[33]  J. E. Rogan,et al.  Application of decomposition techniques to the preliminary design of a transport aircraft , 1986 .