Principles of Optimal Design: Modeling and Computation

Preface Notation List of symbols 1. Optimization models 2. Model construction 3. Model boundedness 4. Interior optima 5. Boundary optima 6. Parametric and discrete optima 7. Local computation 8. Principles and practice References Author index Subject index.

[1]  Douglass J. Wilde,et al.  Monotonicity and Dominance in Optimal Hydraulic Cylinder Design , 1975 .

[2]  M. Powell Optimization in action: 7th–9th January 1975. University of Bristol, UK. Organized by the Institute of Mathematics and its Applications, Essex, UK , 1975 .

[3]  H. P. Williams,et al.  Model Building in Mathematical Programming , 1979 .

[4]  M. J. D. Powell,et al.  Algorithms for nonlinear constraints that use lagrangian functions , 1978, Math. Program..

[5]  Richard L. Daft,et al.  Organization Theory and Design , 1983 .

[6]  Laurence A. Wolsey,et al.  Integer and Combinatorial Optimization , 1988 .

[7]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[8]  George B. Dantzig,et al.  Linear programming and extensions , 1965 .

[9]  Pierre Hansen,et al.  A Framework for Algorithms in Globally Optimal Design , 1988 .

[10]  E. Polak Introduction to linear and nonlinear programming , 1973 .

[11]  P. R. Adby,et al.  Introduction to optimization methods , 1974 .

[12]  Pierre Hansen,et al.  Some Further Results on Monotonicity in Globally Optimal Design , 1988 .

[13]  Leon S. Lasdon,et al.  Optimization Theory of Large Systems , 1970 .

[14]  Murray S. Klamkin Mathematical Modelling: Classroom Notes in Applied Mathematics , 1987 .

[15]  Anthony V. Fiacco,et al.  Nonlinear programming;: Sequential unconstrained minimization techniques , 1968 .

[16]  Thomas L. Saaty,et al.  The analytic hierarchy process : planning, priority setting, resource allocation , 1980 .

[17]  K. Schittkowski The nonlinear programming method of Wilson, Han, and Powell with an augmented Lagrangian type line search function , 1982 .

[18]  H. Kunzi,et al.  Lectu re Notes in Economics and Mathematical Systems , 1975 .

[19]  B. Noble Applied Linear Algebra , 1969 .

[20]  Ray C. Johnson Mechanical design synthesis with optimization applications , 1971 .

[21]  Clarence Zener,et al.  Geometric Programming , 1974 .

[22]  David A. Wismer,et al.  Optimization methods for large-scale systems ... with applications , 1971 .

[23]  J. B. Rosen The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints , 1960 .

[24]  T. M. Williams,et al.  Practical Methods of Optimization. Vol. 1: Unconstrained Optimization , 1980 .

[25]  N. Cressie Spatial prediction and ordinary kriging , 1988 .

[26]  J. Koski Defectiveness of weighting method in multicriterion optimization of structures , 1985 .

[27]  Singiresu S. Rao,et al.  Optimization Theory and Applications , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[28]  A. Ravindran,et al.  Engineering Optimization: Methods and Applications , 2006 .

[29]  Thomas L. Saaty,et al.  Thinking With Models , 1981 .

[30]  R. Fletcher,et al.  A New Approach to Variable Metric Algorithms , 1970, Comput. J..

[31]  Olvi L. Mangasarian,et al.  Nonlinear Programming , 1969 .

[32]  F. A. Lootsma,et al.  Comparative Performance Evaluation, Experimental Design, and Generation of Test Problems in Non-Linear Optimization , 1985 .

[33]  R. W. Hornbeck Numerical Methods , 1975 .

[34]  J. Neumann,et al.  Theory of Games and Economic Behavior. , 1945 .

[35]  Edward A. Bender,et al.  An introduction to mathematical modeling , 1980 .

[36]  R. Fletcher A General Quadratic Programming Algorithm , 1971 .

[37]  Stephen J. Wright,et al.  Optimization Software Guide , 1987 .

[38]  D. Goldfarb A family of variable-metric methods derived by variational means , 1970 .

[39]  Jon G. Rokne,et al.  New computer methods for global optimization , 1988 .

[40]  M. J. D. Powell,et al.  Nonlinear optimization, 1981 , 1982 .

[41]  C. D. Mote,et al.  Optimization methods for engineering design , 1971 .

[42]  Rutherford Aris,et al.  The Optimal Design Of Chemical Reactors , 1961 .

[43]  Freerk A. Lootsma,et al.  Performance evaluation of nonlinear optimization methods via pairwise comparison and fuzzy numbers , 1985, Math. Program..

[44]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[45]  Richard H. Byrd,et al.  A Trust Region Algorithm for Nonlinearly Constrained Optimization , 1987 .

[46]  R. K. Carroll,et al.  Approximate equations for the AGMA J-factor , 1988 .

[47]  Vilfredo Pareto,et al.  Manuale di economia politica , 1965 .

[48]  Singiresu S Rao,et al.  Game theory approach in multicriteria optimization of function generating mechanisms , 1979 .

[49]  D. V. Steward Partitioning and Tearing Systems of Equations , 1965 .

[50]  L. Armijo Minimization of functions having Lipschitz continuous first partial derivatives. , 1966 .

[51]  N. Draper,et al.  Applied Regression Analysis , 1966 .

[52]  Katta G. Murty,et al.  Linear complementarity, linear and nonlinear programming , 1988 .

[53]  K. Schittkowski On the Convergence of a Sequential Quadratic Programming Method with an Augmented Lagrangian Line Search Functions. , 1982 .

[54]  Leon S. Lasdon,et al.  Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming , 1978, TOMS.

[55]  R. A. Cuninghame-Green,et al.  Applied geometric programming , 1976 .

[56]  Klaus Ritter,et al.  Linear Programming: Active Set Analysis and Computer Programs , 1985 .

[57]  E. M. L. Beale,et al.  Nonlinear Programming: A Unified Approach. , 1970 .

[58]  M. F. Rubinstein Patterns of Problem Solving , 1975 .

[59]  R. Haftka,et al.  Elements of Structural Optimization , 1984 .

[60]  G. Zoutendijk,et al.  Methods of Feasible Directions , 1962, The Mathematical Gazette.

[61]  Leon S. Lasdon,et al.  Duality and Decomposition in Mathematical Programming , 1968, IEEE Trans. Syst. Sci. Cybern..

[62]  Leonard Spunt,et al.  Optimum structural design , 1971 .

[63]  David Mautner Himmelblau,et al.  Decomposition of large-scale problems , 1973 .

[64]  Philip E. Gill,et al.  Practical optimization , 1981 .

[65]  Raphael T. Haftka,et al.  Numerical difficulties associated with using equality constraints to achieve multi-level decomposition in structural optimization , 1986 .

[66]  Dimitri P. Bertsekas,et al.  Constrained Optimization and Lagrange Multiplier Methods , 1982 .

[67]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[68]  James M. Ortega,et al.  Iterative solution of nonlinear equations in several variables , 2014, Computer science and applied mathematics.

[69]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[70]  Aharon Ben-Tal,et al.  Optimality in nonlinear programming: A feasible directions approach , 1981 .

[71]  S. Azarm,et al.  A TWO-LEVEL DECOMPOSITION METHOD FOR DESIGN OPTIMIZATION , 1988 .

[72]  Douglass J. Wilde,et al.  Globally optimal design , 1978 .

[73]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[74]  W. Stadler A survey of multicriteria optimization or the vector maximum problem, part I: 1776–1960 , 1979 .

[75]  J. B. Rosen The gradient projection method for nonlinear programming: Part II , 1961 .

[76]  Peter MacDonald Mathematical Foundations for Design: Civil Engineering Systems , 1971 .

[77]  R. M. Alexander Size and shape , 1971 .

[78]  Y. Jaluria,et al.  An Introduction to Heat Transfer , 1950 .

[79]  Ovadia E. Lev Structural Optimization : Recent Developments and Applications , 1981 .

[80]  Clive L. Dym,et al.  Principles of mathematical modeling , 1980 .

[81]  Charles B. Morrey,et al.  Modern Mathematical Analysis , 1968 .

[82]  Åke Björck,et al.  Numerical Methods , 2021, Markov Renewal and Piecewise Deterministic Processes.

[83]  George Leitmann,et al.  Optimization techniques, with applications to aerospace systems , 1964 .

[84]  A. J. Morris,et al.  Foundations of Structural Optimization: A Unified Approach , 1982 .

[85]  Clarence Zener,et al.  Engineering design by geometric programming , 1971 .

[86]  R. Fletcher Practical Methods of Optimization , 1988 .

[87]  V. Braibant,et al.  Structural optimization: A new dual method using mixed variables , 1986 .

[88]  Douglass J. Wilde,et al.  Foundations of Optimization. , 1967 .

[89]  D. Shanno Conditioning of Quasi-Newton Methods for Function Minimization , 1970 .

[90]  William H. Middendorf,et al.  Design of Devices and Systems , 1986, IEEE Transactions on Reliability.

[91]  W. Stoecker Design of thermal systems , 1971 .

[92]  Donald Goldfarb,et al.  A numerically stable dual method for solving strictly convex quadratic programs , 1983, Math. Program..

[93]  Panos Y. Papalambros CODIFICATION OF SEMI-HEURISTIC GLOBAL PROCESSING OF OPTIMAL DESIGN MODELS , 1988 .

[94]  Robert Hooke,et al.  `` Direct Search'' Solution of Numerical and Statistical Problems , 1961, JACM.

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

[96]  Marlin H. Mickle,et al.  Optimization in systems engineering , 1972 .

[97]  L. C. W. Dixon,et al.  Nonlinear Optimization: Theory and Algorithms , 1980 .

[98]  T. L. Vincent,et al.  Optimality in parametric systems , 1981 .

[99]  K. Svanberg The method of moving asymptotes—a new method for structural optimization , 1987 .

[100]  Shih-Ping Han,et al.  Superlinearly convergent variable metric algorithms for general nonlinear programming problems , 1976, Math. Program..

[101]  Norman H. Beachley,et al.  Introduction to Dynamic System Analysis , 1978 .

[102]  C. F. Taylor,et al.  The internal-combustion engine in theory and practice , 1985 .

[103]  James N. Siddall Probabilistic Engineering Design , 1983 .

[104]  Jasbir S. Arora,et al.  Introduction to Optimum Design , 1988 .

[105]  M. J. D. Powell,et al.  A fast algorithm for nonlinearly constrained optimization calculations , 1978 .

[106]  Alice M. Agogino,et al.  Techniques for integrating qualitative reasoning and symbolic computation in engineering optimization , 1987 .

[107]  Yurij G. Evtushenko,et al.  Numerical Optimization Techniques , 1985 .

[108]  R. L. Crane,et al.  Solution of the General Nonlinear Programming Problem with Subroutine VMCOM , 1980 .

[109]  Roger M. Y. Ho,et al.  Goal programming and extensions , 1976 .

[110]  Magnus R. Hestenes,et al.  Conjugate Direction Methods in Optimization , 1980 .

[111]  J. D. Johannes,et al.  Systems Simulation: The Art and Science , 1975, IEEE Transactions on Systems, Man, and Cybernetics.

[112]  John B. Heywood,et al.  Internal combustion engine fundamentals , 1988 .

[113]  Frederick S. Hillier,et al.  Introduction of Operations Research , 1967 .

[114]  H. Hancock Theory of Maxima and Minima , 1919 .

[115]  Ray C. Johnson Optimum Design of Mechanical Elements , 1961 .

[116]  A. D. Dimarogonas,et al.  Computer aided machine design , 1988 .

[117]  H. A. Luther,et al.  Applied numerical methods , 1969 .

[118]  Robert C. Juvinall,et al.  Fundamentals of machine component design , 1991 .

[119]  Philip E. Gill,et al.  Numerical methods for constrained optimization , 1974 .

[120]  Joseph Edward Shigley,et al.  Mechanical engineering design , 1972 .

[121]  Pierre Hansen,et al.  An Automated Procedure for Globally Optimal Design , 1988 .

[122]  Philip Rabinowitz,et al.  Numerical methods for nonlinear algebraic equations , 1970 .

[123]  Angelo Miele,et al.  Theory of optimum aerodynamic shapes , 1965 .

[124]  K. M. Ragsdell,et al.  Optimal Design of a Class of Welded Structures Using Geometric Programming , 1976 .

[125]  D. F. Shanno,et al.  Matrix conditioning and nonlinear optimization , 1978, Math. Program..

[126]  G. McCormick,et al.  Selected applications of nonlinear programming , 1968 .

[127]  Mordecai Avriel,et al.  Nonlinear programming , 1976 .

[128]  P. Gill,et al.  Quasi-Newton Methods for Unconstrained Optimization , 1972 .

[129]  David A. Wismer,et al.  Introduction to nonlinear optimization , 1978 .

[130]  D. V. Steward,et al.  The design structure system: A method for managing the design of complex systems , 1981, IEEE Transactions on Engineering Management.

[131]  Roger Fletcher,et al.  A Rapidly Convergent Descent Method for Minimization , 1963, Comput. J..

[132]  A. Goldstein On Steepest Descent , 1965 .

[133]  Frederic C. Jelen,et al.  Cost and Optimization Engineering , 1970 .

[134]  Janusz S. Kowalik,et al.  Mathematical modeling with computers , 1980 .

[135]  John R. Rice Matrix Computations and Mathematical Software , 1983 .

[136]  D. V. Steward Systems Analysis and Management: Structure, Strategy and Design , 1981 .

[137]  George B. Dantzig,et al.  Decomposition Principle for Linear Programs , 1960 .

[138]  T. L. Vincent,et al.  Game Theory as a Design Tool , 1983 .