Mars - A multistart adaptive random search method for global constrained optimization in engineering applications

Engineering Optimization

Volumn 30, Issue 2, 1998, Pages 125-154

  Litinetski, Victor V ^a   Abramzon, Boris M ^b  

^a ISRAEL ELECTRIC CORPORATION   (Israel)

^b TAT Aero Equipment Industries   (Israel)

Author keywords

Global constrained optimization; Heat exchangers; Multistart random search; Turbines

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; HEAT EXCHANGERS; RANDOM PROCESSES; TURBINES;

GLOBAL CONSTRAINED OPTIMIZATION; MULTISTART ADAPTIVE RANDOM SEARCH (MARS) METHOD;

OPTIMIZATION;

EID: 0031698646     PISSN: 0305215X     EISSN: None     Source Type: Journal    
DOI: 10.1080/03052159808941241     Document Type: Article

References (30)

1. L. C. W. Dixon and G. P. Szego (Eds.) (1971). Towards Global Optimization. North Holland Publishing Company, New York.
2. Torn, A. and Zilinskas, A. (1988). Global Optimization. Lecture Notes in Computer Sciences, 350, Springer-Verlag, New York.
3. Etgar, T. F. and Himmelblau, D. M. (1988). Optimization of Chemical Processes. McGraw-Hill, New-York.
4. Himmelblau, D. M. (1972). Applied Nonlinear Programming. McGraw-Hill, New-York.
5. Vanderplaats, G. N. (1984). Numerical Optimization Techniques for Engineering Design with Applications. McGraw-Hill Book Company, New-York.
6. Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, W. T. (1989). Numerical Recipes, The Art of Scientific Computing. Cambridge University Press.
7. Rubinstein, R., Y. (1981). Simulation and Monte Carlo Methods. John Wiley and Sons.
8. Rinnooy Kan, A. H: G. and Timmer, G. T. (1984). Stochastic methods for global optimization: American Journal of Mathematical and Management Sciences, 4, 7-40.
9. Rinnooy Kan, A. H. G. and Timmer, G. T. (1987). Stochastic global optimization methods. Part 1: Clustering methods, and Part 2: Multi level methods. Mathematical Programming, 39, 27-78.
10. Kirkpatrick, S., Gelatt, C. D. Jr. and Vecchi, M. P. (1983). Optimization by simulating annealing. Science, 220(4598), 671-680.
11. Brooks, D. G. and Verdini, W. A. (1988). Computational experience with generalized simulated annealing over continuous variables. American Journal of Mathematical and Management Sciences, 8(3 & 4), 425-449.
12. Zhang, C. and Wang, H. P. (1993). Mixed-discrete nonlinear optimization with simulated annealing. Engineering Optimization, 21, 277-291.
13. Srinivas, M. (1994). Genetic algorithms: A survey. Computer, 17-26, June 1994.
14. Wu, S. J. and Chow, P. T. (1995). Genetic algorithms for nonlinear mixed discrete integer optimization problems via meta-genetic parameter optimization. Engineering Optimization, 24, 137-159.
15. Syrjakow, M. and Szczerbicka, H. (1994). Optimization of simulation models with REMO. In Proceedings of the Conference on Modeling and Simulation, ESM94, Barcelona, Spain, Eds. A. Guasch and R. M. Huber, 274-281.
16. Lin, S., Zhang, C. and Wang, H. P. (1995). On mixed-discrete nonlinear optimization problem: A comparative study. Engineering Optimization, 23, 287-300.
17. Hu, N, (1992). Tabu search method with random moves for globally optimum design. International Journal for Numerical Methods in Engineering, 35, 1055-1070.
18. Dhingra, A. K. and Bennage, W. A. (1995). Discrete and continuous variable optimization using tabu search. Engineering Optimization, 24, 177-196.
19. Rastrigin, L. A. (1965). Random Optimization Search in Multi-Parametric Systems, (in Russian), Zinatne, Riga.
20. Luus, R. and Jaakola, T. H. I. (1973). Optimization by direct search and systematic reduction of the size of the search region. AIChE Journal, 19(4), 760-765.
21. Floudas, C. A. and Pardalos, P. M. (1989). A Collection of Test Problems for Constrained Global Optimization Algorithms. Lecture Notes in Computer Sciences, 455, Springer-Verlag, New York.
22. Price, W. L. (1971). A controlled random search procedure for global optimization. In Towards Global Optimization, Eds. L. C. W. Dixon and G. P. Szego, North-Holland Publishing Company, New York, 71-84.
23. Jain, P. and Agogino, A. M. (1993). Global optimization using the multistart method. ASME Journal of Mechanical Design, 115, 770-775.
24. Santi, L. M., Townsend, M. A. and Johnson, G. E. (1982). Noniterative penalty function technique for constrained optimization. Engineering Optimization, 6, 63-76.
25. Sandgren, E. (1990). Nonlinear integer and discrete programming in mechanical design optimization. Transaction of the ASME, Journal of Mechanical Design, 112(2), 223-229.
26. Kirillov, A. I., Birdjakov, M. B. and Litinetski, V. V. (1975). O ratsionalnoi zakrutke rabotchich lopatok radialno-osevoi turbinnoi stupeni. Izvestija Vischich Uchebnich Zavedenij SSSR, Energetika, 6, 64-68. (In Russian). (On optimal blade twisting in a centripetal turbine).
27. Kiriollov, I. I. and Litinetski, V. V. (1985). O vibore optimalnich parametrov radialno-osevych turbinnich stupenej. Izvestija Vischich Uchebnich Zavedenij SSSR, Energetika, 3, 118-121. (In Russian). (Optimal parameters of radial turbines).
28. Abramzon, B. and Ostersetzer, S. (1993). Optimal thermal and hydraulic design of compact heat exchangers and cold plates for cooling of electronic components: In Aerospace Heat Exchanger Technology 1993, Eds. R. K. Shah and A. Hashemi, Elsevier, Amsterdam, 349-368.
29. Abramzon, B. (1996). Optimum design of the compact fin-and-plate heat exchangers. Proceedings of the 26th Israel Conference on Mechanical Engineering, Haifa, 312-338.
30. Abramzon, B. (1995). Thermal analysis and optimal design of sinks for cooling of electronic components. Proceedings of the Sixth Israel Conference on Packaging and Cooling of the Electronic Equipment, Herzlia, Israel.