Optimal Design Theory and Algorithms
Optimal Design Theory and Algorithms
Keywords: active set strategies, constraint-bound, continuation, cutting plane, decomposition synthesis, deterministic global optimization, disconnected domain, discrete, efficient global optimization (EGO), experimental design, generalized polynomial, geometric programming, interior algorithm, hierarchical decomposition, local-global strategy, metamodeling, mixed-discrete, nonlinear programming, parametric family, parametric decomposition, parametric singularity, sequential decomposed programming, sequential linear programming, surrogate modeling, target cascading, trust region.
Note: Besides the general topics under the keywords above, the submenu here includes articles on artificial intelligence in optimal design, optimal configuration and topology design, design and control integration, monotonicity analysis, multiobjective optimization, and optimal design under uncertainty. See also the section on systems design optimization and analytical target cascading (ATC).
Papers with conference and journal versions have both publications listed and noted for clarity.
Papalambros, P., "Monotonicity in Goal and Geometric Programming". ASME Advances in Design Automation, Beverly Hills, CA, September 28 - October 1, 1980, 80-DET-48. See also the 1982 journal version, doi: 10.1115/1.3256299.
Papalambros, P., "Monotonicity in Goal and Geometric Programming". ASME Journal of Mechanical Design, Vol. 104, No. 1, 1982, pp. 108-113. doi: 10.1115/1.3256299. See also the 1980 conference version.
Diaz, A., Papalambros, P., and Taylor, J. E., "Geometric Programming for Continuous Design Problems". New Directions in Optimum Structural Design (Proceedings of the Second International Symposium on Optimum Structural Design) (Atrek, E., Gallagher, R.H., Ragsdell, K.K., and Zienkiewicz, O.C., eds.), Tucson, AZ, October 19-22, 1984, John Wiley & Sons, Chichester, England, pp. 309-325.
Tzannetakis, N. and Papalambros, P. Y., "An Active Set Sequential Linearization Algorithm for Nonlinear Design Optimization". Advances in Design Automation (Rao, S.S., ed.), Boston, MA, September 27-30, 1987, ASME, New York, NY, Vol. 1, pp. 1-5. doi: 10.1115/DETC1987-0001.
Li, H. L. and Papalambros, P. Y., "A Combined Local-Global Active Set Strategy for Nonlinear Design Optimization". Advances in Design Automation (Rao, S.S., ed.), Boston, MA, September 27-30, 1987, ASME, New York, NY, Vol. 1, pp. 49-57. See also the 1988 journal version, doi: 10.1115/1.3258946.
Li, H. L. and Papalambros, P., "An Interior Linear Programming Algorithm Using Local And Global Knowledge". ASME Design Engineering Technical Conference., Boston, MA, September 27-30, 1987, 87-DET-4. See also the 1988 journal version, doi: 10.1115/1.3258907.
Li, H. L. and Papalambros, P. Y., "A Combined Local-Global Active Set Strategy for Nonlinear Design Optimization". ASME Journal of Mechanical Design, Vol. 110, No. 4, 1988, pp. 464-471. doi: 10.1115/1.3258946. See also the 1987 conference version.
Li, H. L. and Papalambros, P., "An Interior Linear Programming Algorithm Using Local and Global Knowledge". ASME Journal of Mechanical Design, Vol. 110, No. 1, 1988, pp. 58-64. doi: 10.1115/1.3258907. See also the 1987 conference version.
Rao, J. R. J. and Papalambros, P. Y., "Extremal Behavior of One Parameter Families of Optimal Design Models". Advances in Design Automation(Ravani, B., ed.), Montreal, Que, Canada, September 17-21, 1989, ASME, New York, NY, Vol. 19-2, pp. 91-100. doi: 10.1115/DETC1989-0078.
Rao, J. R. J. and Papalambros, P. Y., "A Nonlinear Programming Continuation Strategy for One Parameter Design Optimization Problems".Advances in Design Automation (Ravani, B., ed.), Montreal, Que, Canada, September 17-21, 1989, ASME, New York, NY, Vol. 19-2, pp. 77-89. doi: 10.1115/DETC1989-0077.
Rao, J. R. and Papalambros, P., "Remarks on Conditions for the Validity of Parametric Decomposition in Optimal Design". Advances in Design Automation (Ravani, B., ed.), Chicago, IL, September 16-19, 1990, ASME, New York, NY, Vol. 23-2, pp. 51-61. doi: 10.1115/DETC1990-0049.
Lo, C. S. and Papalambros, P. Y., "A Deterministic Global Design Optimization Method for Nonconvex Generalized Polynomial Problems".Advances in Design Automation (Rivani, B., ed.), Chicago, IL, September 16-19, 1990, ASME, New York, NY, Vol. 23-2, pp. 41-49. See also the 1996 journal version, doi: 10.1115/1.2826859.
Loh, H. T. and Papalambros, P. Y., "Computational Implementation and Tests of A Sequential Linearization Algorithm for Mixed-Discrete Nonlinear Design Optimization". Advances in Design Automation (Rivani, B., ed.), Chicago, IL, September 16-19, 1990, ASME, New York, NY, Vol. 23-2, pp. 11-20. See also the 1991 journal version, doi: 10.1115/1.2912787.
Loh, H. T. and Papalambros, P. Y., "A Sequential Linearization Approach for Solving Mixed-Discrete Nonlinear Design Optimization Problems". ASME Advances in Design Automation (Rivani, B., ed.), Chicago, IL, September 16-19, 1990, Vol. 23-2, pp. 1-10. See also the 1991 journal version, doi: 10.1115/1.2912786.
Loh, H. T. and Papalambros, P. Y., "Computational Implementation and Tests of A Sequential Linearization Algorithm for Mixed-Discrete Nonlinear Design Optimization". ASME Journal of Mechanical Design, Vol. 113, No. 3, 1991, pp. 335-345. doi: 10.1115/1.2912787. See also the 1990 conference version.
Loh, H. T. and Papalambros, P. Y., "A Sequential Linearization Approach for Solving Mixed-Discrete Nonlinear Design Optimization Problems". ASME Journal of Mechanical Design, Vol. 113, No. 3, 1991, pp. 325-334. doi: 10.1115/1.2912786. See also the 1990 conference version.
Lo, C. and Papalambros, P. Y., "A Convex Cutting Plane Algorithm for Global Solution of Generalized Polynomial Optimal Design Models".Advances in Design Automation (Hoeltzel, D.A., ed.), Scottsdale, AZ, September 13-16, 1992, ASME, New York, NY, Vol. 44-1, pp. 185-192. See also the 1996 journal version, doi: 10.1115/1.2826861.
Lo, C. and Papalambros, P. Y., "On Global Feasible Search for Global Design Optimization With Application to Generalized Polynomial Models". Advances in Design Automation (Hoeltzel, D.A., ed.), Scottsdale, AZ, September 13-16, 1992, ASME, New York, NY, Vol. 44-1, pp. 177-184. See also the 1995 journal version, doi: 10.1115/1.2826693.
Pomrehn, L. P. and Papalambros, P. Y., "Constraint Activity Revisited: Application to Global and Discrete Design Optimization". Advances in Design Automation (Hoeltzel, D.A., ed.), Scottsdale, AZ, September 13-16, 1992, ASME, New York, NY, Vol. 44-1, pp. 223-229. See also the 1994 journal version, doi: 10.1115/DETC1992-0125.
Pomrehn, L. P. and Papalambros, P. Y., "Discrete Optimal Design Formulations with Application to Gear Train Design". Advances in Design Automation (Hoeltzel, D.A., ed.), Scottsdale, AZ, September 13-16, 1992, ASME, New York, NY, Vol. 44-1, pp. 281-287. See also the 1995 journal version, doi: 10.1115/1.2826695.
Pomrehn, L. P. and Papalambros, P. Y., "Infeasibility and Non-Optimality Tests for Solution Space Reduction in Discrete Optimal Design".Advances in Design Automation (Hoeltzel, D.A., ed.), Scottsdale, AZ, September 13-16, 1992, ASME, New York, NY, Vol. 44-1, pp. 289-297. See also the 1995 journal version, doi: 10.1115/1.2826696.
Papalambros, P., "Extending the Optimization Paradigm in Engineering Design". Optimization Techniques and Applications (Phua, K.H., Wang, C.M., Yeong, W.Y., Leong, T.Y., Loh, H.T., Tan, K.C., and Chou, F.S., eds.), Singapore, June 3-5, 1992, World Scientific Publishing, NJ, Vol. 2, pp. 701-716.
Papalambros, P. Y., "Remarks on Sufficiency of Constraint-Bound Solutions in Optimal Design". ASME Journal of Mechanical Design, Vol. 115, No. 3, 1993, pp. 374-379. doi: 10.1115/1.2919201. See also the 1988 conference version.
Pomrehn, L. P. and Papalambros, P. Y., "Optimal Approximation of Real Values Using Rational Numbers With Application to the Kinematic Design of Gearboxes". Advances in Design Automation (Gilmore, B.J., Hoeltzel, D.A., Azarm, S., and Eschenauer, H.A., eds.), Albuquerque, NM, September 19-22, 1993, ASME, New York, NY, Vol. 65-2, pp. 119-130. doi: 10.1115/DETC1993-0384.
Rao, J. R. and Papalambros, P. Y., "Computation of Kuhn-Tucker Triples in Optimum Design Problems in the Presence of Parametric Singularities". Proceedings of the 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Paper No. AIAA-94-4416-CP, Panama City Beach, FL, September 7-9, 1994, Vol. 2, pp.1418-1424.
Lo, C. and Papalambros, P. Y., "On Global Feasible Search for Global Design Optimization With Application to Generalized Polynomial Models". ASME Journal of Mechanical Design, Vol. 117, No. 3, 1995, pp. 402-408. doi: 10.1115/1.2826693. See also the 1992 conference version.
Pomrehn, L. P. and Papalambros, P. Y., "Discrete Optimal Design Formulations With Application to Gear Train Design". ASME Journal of Mechanical Design, Vol. 117, No. 3, 1995, pp. 419-424. doi: 10.1115/1.2826695. See also the 1992 conference version.
Pomrehn, L. P. and Papalambros, P. Y., "Infeasibility and Non-Optimality Tests for Solution Space Reduction in Discrete Optimal Design".ASME Journal of Mechanical Design, Vol. 117, No. 3, 1995, pp. 425-432. doi: 10.1115/1.2826696. See also the 1992 conference version.
Krishnamachari, R. S. and Papalambros, P. Y., "Hierarchical Decomposition Synthesis in Optimal Systems Design". ASME Design Engineering Technical Conferences and Computers in Engineering Conference (McCarthy, J.M., ed.), Irvine, CA, August 18-22, 1996, 96-DETC-DAC-1086. See also the 1997 journal version, doi: 10.1115/1.2826389.
Krishnamachari, R. S. and Papalambros, P. Y., "Optimal Hierarchical Decomposition Synthesis Using Integer Programming". ASME Design Engineering Technical Conferences and Computers in Engineering Conference (McCarthy, J.M., ed.), Irvine, CA, August 18-22, 1996, 96-DETC-DAC-1088. See also the 1997 journal version, doi: 10.1115/1.2826388.
Lo, C. S. and Papalambros, P. Y., "A Deterministic Global Design Optimization Method for Nonconvex Generalized Polynomial Problems".ASME Journal of Mechanical Design, Vol. 118, No. 1, 1996, pp. 75-81. doi: 10.1115/1.2826859. See also the 1990 conference version.
Lo, C. and Papalambros, P. Y., "A Convex Cutting Plane Algorithm for Global Solution of Generalized Polynomial Optimal Design Models".ASME Journal of Mechanical Design, Vol. 118, No. 1, 1996, pp. 82-88. doi: 10.1115/1.2826861. See also the 1992 conference version.
Nelson, S. A. and Papalambros, P. Y., "Sequentially Decomposed Programming". Proceedings of the 6th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, paper AIAA-96-4008-CP, Bellevue, WA, September 4-6, 1996, Vol. 2, pp. 226-236. See also the 1997 journal version, doi: 10.2514/2.216.
Nelson, S. A. and Papalambros, P. Y., "A Modified Trust Region Algorithm for Hierarchical NLP". Proceedings of the Second World Congress of Structural and Multidisciplinary Optimization (Gutkowski, W. and Mroz, Z., eds.), Zakopane, Poland, May 26-30, 1997, ISSMO, Vol. 1, pp. 103-108. See also the 1998 journal version, doi: 10.1007/BF01213996.
Nelson, S. A. and Papalambros, P. Y., "Sequentially Decomposed Programming". AIAA Journal, Vol. 35, No. 7, 1997, pp. 1209-1216. doi: 10.2514/2.216. See also the 1996 conference version.
Nelson, S. A. and Papalambros, P., "Exploiting Discrepancies in Function Computation Time Within Optimization Models". Proceedings of the ASME Design Engineering Technical Conferences (Parkinson, A. and Ganter, M., eds.), Atlanta, GA, September 13-16, 1998, DETC98/DAC-5613. See also the 1999 journal version.
Nelson, S. A. and Papalambros, P. Y., "A Modification to Jones' Global Optimization Algorithm For Fast Local Convergence". Proceedings of the 7th AIAA/NASA/ USAF/ISSMO Symposium on Multidisciplinary Analysis and Optimization, paper AIAA-98-4751, St. Louis, MO, September 2-4, 1998, Vol. 1, pp. 341-348. doi: 10.2514/6.1998-4751.
Nelson, S. A. and Papalambros, P. Y., "Improving Approximate Penalty Functions for Use in Trust Region Algorithms". Proceedings of the 3rd World Congress on Structural and Multidisciplinary Optimization, Buffalo, New York, May 17-21, 1999, ISSMO, 04-DAM-2.
Nelson, S. A. and Papalambros, P. Y., "Use of Trust Region Algorithms to Exploit Discrepancies in Function Computation Time Within Optimization Models". ASME Journal of Mechanical Design, Vol. 121, No. 4, 1999, pp. 552-556. doi: 10.1115/1.2829498. See also the 1998 conference version.
Sasena, M. J., Papalambros, P. Y., and Goovaerts, P., "Metamodeling Sampling Criteria in a Global Optimization Framework". 8th AIAA/ USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, September 6-8, 2000, AIAA Paper 2000-4921. See also the 2002 journal version, doi: 10.2514/6.2000-4921.
Sasena, M. J., Papalambros, P. Y., and Goovaerts, P., "The Use of Surrogate Modeling Algorithms to Exploit Disparities in Function Computation Time within Simulation-Based Optimization". Proceedings of the 4th Congress on Structural and Multidisciplinary Optimization(Cheng, G.D., Gu, Y., Liu, S., and Wang, Y., eds.), Dalian, China, June 4-8, 2001, ISSMO.
Sasena, M. J., Papalambros, P. Y., and Goovaerts, P., "Global Optimization of Problems with Disconnected Feasible Regions via Surrogate Modeling". Proceedings of the 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, GA, September 4-6, 2002, AIAA-2002-5573. doi: 10.2514/6.2002-5573.
Sasena, M., Parkinson, M., Goovaerts, P., Papalambros, P., and Reed, M., "Adaptive Experimental Design Applied to an Ergonomics Testing Procedure". Proceedings of the ASME Design Engineering Technical Conferences (Diaz, A., ed.), paper DETC 2002/DAC-34091, Montreal, Que., Canada, September 29 - October 2, 2002, Vol. 2, pp. 529-537. doi: 10.1115/DETC2002/DAC-34091. See also the 2005 journal version.
Sasena, M. J., Papalambros, P., and Goovaerts, P., "Exploration of Metamodeling Sampling Criteria for Constrained Global Optimization".Engineering Optimization, Vol. 34, No. 3, 2002, pp. 263-278. doi: 10.1080/03052150211751.
Kim, H. M., Michelena, N. F., Papalambros, P. Y., and Jiang, T., "Target Cascading in Optimal System Design". ASME Journal of Mechanical Design, Vol. 125, No. 3, 2003, pp. 474-480. See also the 2000 conference version, doi: 10.1115/1.1582501.
Sasena, M. J., Parkinson, M., Reed, M. P., Papalambros, P. Y., and Goovaerts, P., "Improving an Ergonomics Testing Procedure via Approximation-based Adaptive Experimental Design", Journal of Mechanical Design, Vol. 127, No. 5, 2005, 1006-1013. See also the 2002 conference version, doi: 10.1115/1.1906247.
Michalek, J. J. and Papalambros, P. Y., "BB-ATC: Analytical target cascading using branch and bound for mixed-integer nonlinear programming", 2006 ASME International Design Engineering Technical Conferences and Computers and Information In Engineering Conference, 2006, Philadelphia, PA, United States, DETC2006/DAC-99040.