SAMS: Stochastic analysis with minimal sampling - A fast algorithm for analysis and design under uncertainty

Journal of Mechanical Design

Volumn 127, Issue 4, 2005, Pages 558-571

  Mawardi, A ^a   Pitchumani, R ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPOSITE MATERIALS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; NORMAL DISTRIBUTION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; RELIABILITY; SAMPLING; WEIBULL DISTRIBUTION;

LATIN HYPERCUBE SAMPLING; STOCHASTIC ANALYSIS-WITH-MINIMAL SAMPLING (SAMS);

SYSTEMS ANALYSIS;

EID: 23044473389     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1866157     Document Type: Article

References (24)

1. Basar, T., and Wu, Y. W., 1986, "Solution to a Class of Minimax Decision Problem Arising in Communication Systems," J. Optim. Theory Appl., 51, pp. 375-404.
2. Rustem, B., 1992, "A Constrained Min-Max Algorithm for Rival Models of the Same Economic System," Math. Program., 53, pp. 647-654.
3. Rustem, B., and Nguyen, Q., 1998, "An Algorithm for the Inequality Constrained Discrete Min-Max Problem," SIAM J. Optim., 8, pp. 265-283.
4. Rao, S. S., and Cao, L., 2002, "Optimum Design of Mechanical Systems Involving Interval Parameters," ASME J. Mech. Des., 124, pp. 465-472.
5. Saltelli, A., Chan, K., and Scott, E. M., 2000, Sensitivity Analysis, Wiley, New York.
6. Ma, C.-M., Pawlieki, T., Jiang, S. B., Li, J. S., Deng, J., Mok, E., Kapur, A., Xing, L., Ma, L., and Boyer, A. L., 2000, "Monte Carlo Verification of IMRT Dose Distributions from a Commercial Treatment Planning Optimization System," Phys. Med. Biol., 45, pp. 2483-2495.
7. Bressanini, D., and Morosi, G., 2002, "Robust Wave Function Optimization Procedures in Quantum Monte Carlo Methods," J. Chem. Phys., 116, pp. 5345-5350.
8. Chen, W., and Du, X., 2000, "Toward a Better Understanding of Modeling Feasibility Robustness in Engineering Design," ASME J. Mech. Des., 122, pp. 385-394.
9. Mawardi, A., and Pitchumani, R., 2003, "Cure Cycle Design for Thermosetting-Matrix Composites Fabrication under Uncertainty," Ann. Operat. Res., 132, pp. 19-45.
10. Iman, R. L., and Shortencarier, M. J., 1984, "A FORTRAN77 Program and User's Guide for Generation of Latin Hypercube and Random Samples for Use with Computer Models," Technical Report, NUREG/CR-3624, SAND83-2365, Sandia National Laboratories, Albuquerque, NM.
11. Kalagnanam, J., and Diwekar, U., 1997, "An Efficient Sampling Technique for Off-Line Quality Control," Technometrics, 39, pp. 308-319.
12. Padmanabhan, S. K., and Pitchumani, R., 1999, "Stochastic Analysis of Isothermal Cure of Resin Systems," Polym. Compos., 20, pp. 72-85.
13. Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P., 1989, "Design and Analysis of Computer Experiments," Stat. Sci., 4, pp. 409-435.
14. Darlington, J., Pantelides, C. C., Rustem, B., and Tanyi, B. A., 2000, "Decreasing the Sensitivity of Open-Loop Optimal Solutions in Decision Making under Uncertainty," Eur. J. Oper. Res., 121, pp. 343-362.
15. Ratnaparkhi, M. V., and Park, W. J., 1986, "Lognormal Distribution-Model for Fatigue Life and Residual Strength of Composite Materials," IEEE Trans. Reliab., R-35, pp. 312-315.
16. Hill, R., Brooks, R., and Kaloedes, D., 1999, "Transverse Cracking of Fibre Bundle Composites Studied by Acoustic Emission and Weibull Statistics - Effects of Postcuring and Surface Treatment," J. Mater. Sci., 34, pp. 5215-5236.
17. Mahesh, S., Bayerlien, I. J., and Phoenix, S. L., 1999, "Size and Heterogeneity Effects on the Strength of Fibrous Composites," Physica D, 133, pp. 371-389.
18. Alqam, M., Bennet, R. M., and Zureick, A.-H., 2002, "Three-Parameter vs. Two-Parameter Weibull Distribution for Pultruded Composite Material Properties," Compos. Struct., 58, pp. 497-503.
19. Phadke, M. S., 1989, Quality Engineering Using Robust Design, Prentice-Hall, Englewood Cliffs, NJ.
20. Antille, G., and Weinberg, A., 2000, "A Study of D-optimal Designs Efficiency for Polynomial Regression," Technical Report No 2000.04, Department of Econometrics, University of Geneva, Switzerland.
21. Matheron, G., 1963, "Principles of Geostatistics," Econ. Geol., 27, pp. 968-1005.
22. Han, C. D., Lee, D. S., and Chin, H. B., 1986, "Development of a Mathematical Model for the Pultrusion Process," Polym. Eng. Sci., 26, pp. 393-404.
23. Nelder, J. A., and Mead, R., 1965, "A Simplex Method for Function Minimization," Comput. J., 7, pp. 308-313.
24. Ostrovsky, G., Achenie, L. E. K., Wang, Y., and Volin, Y., 2002, "A Unique Approach for Solving Sub-Problems in Flexibility Analysis," Chem. Eng. Commun., 189(1), pp. 125-149.