Engineering design optimization using interior-point algorithms

AIAA journal

Volumn 38, Issue 11, 2000, Pages 2127-2132

  Rao, S S ^a   Mulkay, E L ^b  

^a UNIVERSITY OF MIAMI   (United States)

^b EXXONMOBIL UPSTREAM RESEARCH COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; HEURISTIC METHODS; OPTIMIZATION; PROBLEM SOLVING;

ENGINEERING DESIGN OPTIMIZATION; INTERIOR POINT ALGORITHM;

LINEAR PROGRAMMING;

EID: 0034319305     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.875     Document Type: Article

References (19)

1. Karmarkar, N., "A New Polynomial-Time Algorithm for Linear Programming," Combinatorica, Vol. 8, No. 4, 1984, pp. 373-395.
2. Hooker, J. N., "Karmarkar's Linear Programming Algorithm," Interfaces, Vol. 16, No. 4, 1986, pp. 75-90.
3. Vanderbei, R. J., "Interior-Point Methods: Algorithms and Formulations," ORSA Journal on Computing, Vol. 6, No. 1, 1994, pp. 32-34.
4. Anstreicher, K. M., "Potential Reduction Algorithms," Interior Point Methods in Mathematical Programming, edited by T. Terlaky, Kluwer, Dordrecht, The Netherlands, 1996, Chap. 4, pp. 125-158.
5. Wright, S. J., Primal-Dual Interior Point Methods, Society for Industrial and Applied Mathematics, Philadelphia, 1995.
6. Anderson, E. D., Gondzio, J., Meszaros, C., and Xu, X. J., "Implementation of Interior Point Methods for Large Scale Linear Programming," Logilab, HEC Geneva Section of Management Studies, TR 1996.3, Univ. of Geneva, Geneva. 1996.
7. Vandengerghe, L., and Boyd, S., "Semidefinite Programming," SIAM Review, Vol. 38, No. 1, 1996, pp. 49-95.
8. Vanderbei, R. J., "LOQO: An Interior Point Code for Quadratic Programming," Program in Statistics and Operations Research. TR SOR 94-15, Princeton Univ., Princeton, NJ, 1995.
9. Gonzaga. C. C., "Path-Following Methods for Linear Programming," SIAM Review, Vol. 34, No. 2, 1992, pp. 167-224.
10. Vanderbei, R. J., "LOQO User's Manua: Version 2.21," Program in Statistics and Operations Research, TR SOR 96-07, Princeton Univ., Princeion, NJ. 1995.
11. Kelly, J. E., "The Cutting Plane Method for Solving Convex Programs," Journal of SIAM, Vol. 8, No. 4, 1960, pp. 703-712.
12. Bertsekas, D. P., Nonlinear Programming, Athena Scientific, Belmont, MA, 1995.
13. Rao, S. S., Engineering Optimization: Theory and Practice, 3rd ed., Wiley, New York, 1996, Chap. 7.
14. Vanderplaats, G. N., Numerical Optimization Techniques for Engineering Design: With Applications, McGraw-Hill, New York, 1984, Chap. 6.
15. Mulkay, E. L., and Rao, S. S., "Fuzzy Heuristics for Sequential Linear Programming," Journal of Mechanical Design, Vol. 120, No. 1, 1998, pp. 17-35.
16. Bongartz, I., Conn, A. R., Gould, N., and Toint, P. L., "CUTE: Constrained and Unconstrained Testing Environment," ACM Transactions on Mathematical Software, Vol. 21, No. 1, 1995, pp. 123-160.
17. CPLEX, Using the CPLEX Callable Library, Version 4.0, CPLEX Optimization, Inc., Incline Village, NV, 1995.
18. Nigoghosstan, J. P., "The Optimization of Jet Engine Discs," Optimization and Design, edited by M. Avriel, M. J. Rijckaert, and D. J. Wilde, Prentice-Hall, Englewood Cliffs, NJ, 1973, pp. 346-349.
19. Lyle, S., and Nichols, N. K., "Numerical Methods for Optimal Control Problems with State Constraints," Mathematics Dept., Univ. of Reading, TR 8/91, Reading, England, U.K., 1991.