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Computing Methods in Optimization Problems. Proceedings of a by A. V. Balakrishnan, Lucien W. Neustadt

By A. V. Balakrishnan, Lucien W. Neustadt

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Extra info for Computing Methods in Optimization Problems. Proceedings of a Conference Held at University of California, Los Angeles January 30–31, 1964

Sample text

18 0. 257 X X INLET CONCENTRATIONS X 3 2 1 0. 029 0. 130 0. 323 0 63 102 153 201 247 305 352 400 N o . of Trials X *η (sees) x i 0. 019 N o . of Trials X 3 0. 041 2 0. 195 X 2 0. 024 i 0. 012 x TANK 3 EXIT CONCENTRATIONS TANK 2 EXIT CONCENTRATIONS T A B L E 25 0. 10 0. 10 0. 10 0. 10 n 707. 2 703. 0 707. 2 707. 2 <°k) ~ Τ X 3 0. 130 X X INLET CONCENTRATIONS X 2 3 1 0. 049 0 51 100 152 198 253 298 355 400 tn (sees) N o . of Trials X 2 0. 323 x i 0. 029 TANK 4 EXIT CONCENTRATIONS COMPUTING METHODS IN OPTIMIZATION PROBLEMS F o r e a c h tank the h i l l - c l i m b i n g r o u t i n e c a r r i e d out 200 i t e r a t i o n s in e a c h o f the t w o v a r i a b l e s but it w a s a l m o s t i m ­ p o s s i b l e to t e l l w h e t h e r c o n v e r g e n c e had t a k e n p l a c e and e v e n l e s s p o s s i b l e t o e n s u r e c o n v e r g e n c e to the right r o o t .

89143 775. 37409 776. 72113 799. 23578 810. 92610 817. 50201 818. 73502 818. 90841 824. 10999 852. 34282 862. 78651 883. 66320 922. 98464 926. 14816 935. 63875 956. 41196 0. 42308 0 . 707 . 062 . 894 . 124 . 083 . 034 . 004 . 016 . 004 . 004 . 002 . 005 . 014 . 008 . 001 . 000 • . 001 . 000 . 000 . 000 . 000 . 000 . 000 . 008 . 009 . 014 3 COMPUTING METHODS IN OPTIMIZATION PROBLEMS ^< Ο S u b s e q u e n t l y an u p p e r l i m i t Τ =550 C w a s i m p o s e d o n the t e m p e r a t u r e and with t h i s r e s t r i c t i o n the b e s t i s o t h e r m a l y i e l d w a s found t o b e 4 1 .

5 400. 3 400. 0 400. 0 0. 145 0. 257 0. 328 0. 368 0. 0 secs h = D. 05 secs time per iteration 0 . 0 9 mins. 4 0. 6 e = 0. 8 1. 0 400 400 400 400 400 0. 066 0. 173 0. 261 0. 8 1st Iter. 0 3 400. 2 400. 0 400. 0 400. 0 400. 0 X 0. 0262 0. 322 0. 357 T ° C 408. 7 400. 3 400. 1 400. 0 400. 0 0 0. 073 0. 269 0. 326 0. 361 T ° C 491. 2 408. 2 401. 5 400. 3 400. 0 400. 0 x^ 0 0. 256 0. 326 0. 368 0. 0 412. 0 402. 4 400. 1 400. 0 χ 0. 246 0. 346 0. 425 T ° C 400 Start X 10th Iter, 50th Iter. 100th Iter.

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