Evolution and Optimum Seeking

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References 303 Ralston, A., H.S. Wilf (Eds.) (1969), Mathematische Methoden fur Digitalrechner II, Oldenbourg, Munich Rappl, G. (1984), Konvergenzraten von Random-Search-Verfahren zur globalen Optimierung, Dr. rer. nat. Diss., Hochschule der Bundeswehr, Munich-Neubiberg, Department of Computer Science, Nov. 1984 Rastrigin, L.A. (1960), Extremal control by the method of random scanning, ARC 21, 891-896 Rastrigin, L.A. (1963), The convergence of the random search method in the extremal control of a many-parameter system, ARC 24, 1337-1342 Rastrigin, L.A. (1965a), Sluchainyi poisk v zadachakh optimisatsii mnogoparametricheskikh sistem, Zinatne, Riga, (for a translation into English see next item) Rastrigin, L.A. (1965b), Random search in optimization problems for multiparameter systems, Air Force System Command, Foreign Technical Division, FTD-HT-67-363 Rastrigin, L.A. (1966), Stochastic methods of complicated multi-parameter system optimization, Proceedings of the IIIrd IFAC Congress, London, June 1966, paper 3-F Rastrigin, L.A. (1967), Raboty po teorii i primeneniyu statisticheskikh metodov optimisatsii v institute elektroniki i vychislitelnoi tekhniki Akademii Nauk Latviiskoi SSR, Avtomatika iVychislitelnaya Tekhnika (1967, 5), 31-40 Rastrigin, L.A. (1968), Statisticheskiye metody poiska, Nauka, Moscow Rastrigin, L.A. (1969), Teorija i primenenije sluchainovo poiska, Zinatne, Riga Rastrigin, L.A. (1972), Adaptivnye sistemy, vol. 1, Zinatne, Riga Rauch, S.W. (1973), A convergence theory for a class of nonlinear programming problems, SIAM J. Numer. Anal. 10, 207-228 Rawlins, G.J.E. (Ed.) (1991), Foundations of genetic algorithms, Morgan Kaufmann, San Mateo CA Rechenberg, I. (1964), Cybernetic solution path of an experimental problem, Royal Aircraft Establishment, Library Translation 1122, Farnborough, Hants, Aug. 1965, English translation of the unpublished written summary of the lecture \Kybernetische Losungsansteuerung einer experimentellen Forschungsaufgabe", delivered at the joint annual meeting of the WGLR and DGRR, Berlin, 1964 Rechenberg, I. (1973), Evolutionsstrategie|Optimierung technischer Systeme nach Prinzipien der biologischen Evolution, Frommann-Holzboog, Stuttgart Rechenberg, I. (1978), Evolutionsstrategien, in: Schneider and Ranft (1978), pp. 83-114
304 References Rechenberg, I. (1989), Evolution strategy|nature's way of optimization, in: Bergmann (1989), pp. 106-126 Rechenberg, I. (1994), Evolutionsstrategie '94, Frommann-Holzboog, Stuttgart Rein, H., M. Schneider (1971), Einfuhrung in die Physiologie des Menschen, Springer, Berlin Rhead, D.G. (1971), Some numerical experiments on Zangwill's method for unconstrained minimization, University of London, Institute of Computer Science, working paper ICSI-319 Ribiere, G. (1970), Sur la methodedeDavidon-Fletcher-Powell pour la minimisation des fonctions, Mgmt. Sci. 16, 572-592 Rice, J.R. (1966), Experiments on Gram-Schmidt orthogonalization, Math. Comp. 20, 325-328 Richardson, J.A., J.L. Kuester (1973), Algorithm 454 (E4)|the complex method for constrained optimization, CACM 16, 487-489 Riedl, R. (1976), Die Strategie der Genesis, Piper, Munich Robbins, H., S. Monro (1951), A stochastic approximation method, Ann. Math. Stat. 22, 400-407 Roberts, P.D., R.H. Davis (1969), Conjugate gradients, Control 13, 206-210 Roberts, S.M., H.I. Lyvers (1961), The gradient method in process control, Ind. Engng. Chem. 53, 877-882 Rodlo , R.K. (1976), Bestimmung der Geschwindigkeit von Versetzungsgruppen in neutronen-bestrahlten Kupfer-Einkristallen, Dr. rer. nat. Diss., Technical University of Braunschweig, Germany, Sept. 1976 Rosen, J.B. (1960), The gradient projection method for nonlinear programming I| Linear constraints, SIAM J. 8, 181-217 Rosen, J.B. (1961), The gradient projection method for nonlinear programming II| Nonlinear constraints, SIAM J. 9, 514-532 Rosen, J.B. (1966), Iterative solution of nonlinear optimal control problems, SIAM J. Contr. 4, 223-244 Rosen, J.B., O.L. Mangasarian, K. Ritter (Eds.) (1970), Nonlinear programming, Academic Press, New York Rosen, J.B., S. Suzuki (1965), Construction of nonlinear programming test problems, CACM 8, 113
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Evolution and Optimum Seeking Hans-
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vi Multiple Data) machines with man
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viii 3.2.1.6 Complex Strategy of Bo
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Chapter 1 Introduction There is sca
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Introduction 3 simple matter to col
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Chapter 2 Problems and Methods of O
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Particular Problems and Methods of
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Other Special Cases 19 with expecta
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Other Special Cases 21 parts of the
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Chapter 3 Hill climbing Strategies
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One Dimensional Strategies 25 then
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One Dimensional Strategies 27 Even
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One Dimensional Strategies 29 The b
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One Dimensional Strategies 31 F(x)
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One Dimensional Strategies 33 For t
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One Dimensional Strategies 35 It is
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One Dimensional Strategies 37 F P F
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Multidimensional Strategies 39 the
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Multidimensional Strategies 41 asch
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Multidimensional Strategies 43 e 2
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Multidimensional Strategies 45 Step
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Multidimensional Strategies 47 Numb
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Multidimensional Strategies 49 wher
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Multidimensional Strategies 53 Numb
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Multidimensional Strategies 55 The
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Multidimensional Strategies 57 Anum
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Multidimensional Strategies 61 Iter
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Multidimensional Strategies 63 (If
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Multidimensional Strategies 65 eval
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Multidimensional Strategies 67 The
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Multidimensional Strategies 69 devi
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Multidimensional Strategies 71 spec
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Multidimensional Strategies 73 othe
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Multidimensional Strategies 75 anot
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Multidimensional Strategies 77 3.2.
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Multidimensional Strategies 81 Brow
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Multidimensional Strategies 83 (197
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Multidimensional Strategies 85 meth
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Chapter 4 Random Strategies One gro
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Random Strategies 89 parts is taken
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Random Strategies 91 Pardalos and R
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Random Strategies 93 to write the n
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Random Strategies 95 the expectatio
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Random Strategies 97 maintained at
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Random Strategies 99 works entirely
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Random Strategies 101 the principle
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Random Strategies 103 out, a limite
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Chapter 5 Evolution Strategies for
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The Two Membered Evolution Strategy
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A Multimembered Evolution Strategy
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Genetic Algorithms 151 too is the c
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Genetic Algorithms 153 mean objecti
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Genetic Algorithms 155 p( ∆x) 1 1
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Genetic Algorithms 157 out any chan
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Genetic Algorithms 159 Average Numb
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Simulated Annealing 161 There are t
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Tabu Search and Other Hybrid Concep
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Chapter 6 Comparison of Direct Sear
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Theoretical Results 167 Oettli, 196
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Theoretical Results 169 where 0
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Theoretical Results 171 tions. Simi
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Numerical Comparison of Strategies
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Core storage required 233 term \cor
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Chapter 7 Summary and Outlook So, i
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Summary and Outlook 237 numerical o
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Summary and Outlook 239 considerabl
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Summary and Outlook 241 is called t
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Summary and Outlook 243 to the prod
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Summary and Outlook 245 tition betw
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Summary and Outlook 247 the experim
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Chapter 8 References Glossary of ab
Page 259 and 260: References 251 Anscombe, F.J. (1959
Page 261 and 262: References 253 Bandler, J.W. (1969b
Page 263 and 264: References 255 Bendin, F. (1992), E
Page 265 and 266: References 257 Booth, A.D. (1955),
Page 267 and 268: References 259 Brent, R.P. (1971),
Page 269 and 270: References 261 Carroll, C.W. (1961)
Page 271 and 272: References 263 Courant, R., D. Hilb
Page 273 and 274: References 265 Davies, M., I.J. Whi
Page 275 and 276: References 267 Dvoretzky, A. (1956)
Page 277 and 278: References 269 Fiacco, A.V. (1974),
Page 279 and 280: References 271 Fogel, L.J., A.J. Ow
Page 281 and 282: References 273 Gill, P.E., W. Murra
Page 283 and 284: References 275 Graves, R.L., P. Wol
Page 285 and 286: References 277 Heckler, R., H.-P. S
Page 287 and 288: References 279 Ho meister, F., H.-P
Page 289 and 290: References 281 Idelsohn, J.M. (1964
Page 291 and 292: References 283 Karnopp, D.C. (1966)
Page 293 and 294: References 285 Kochen, M., H.M. Has
Page 295 and 296: References 287 Kunzi, H.P., H.G. Tz
Page 297 and 298: References 289 LeCam, L.M., J. Neym
Page 299 and 300: References 291 Mamen, R., D.Q. Mayn
Page 301 and 302: 294 References Miele, A., H.Y. Huan
Page 303 and 304: 296 References Murray, W. (Ed.) (19
Page 305 and 306: 298 References Oldenburger, R. (Ed.
Page 307 and 308: 300 References Peschel, M. (1980),
Page 309: 302 References Powell, M.J.D. (1970
Page 313 and 314: 306 References Rybashov, M.V. (1969
Page 315 and 316: 308 References Schmidt, J.W., K. Ve
Page 317 and 318: 310 References Shedler, G.S. (1967)
Page 319 and 320: 312 References Steinbuch, K. (1971)
Page 321 and 322: 314 References Tabak, D. (1970), Ap
Page 323 and 324: 316 References Varela, F.J., P. Bou
Page 325 and 326: 318 References White, L.J., R.G. Da
Page 327 and 328: 320 References Youden, W.J., O. Kem
Page 329 and 330: 322 References Glossary of Abbrevia
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Page 333 and 334: 326 Appendix A Problem 1.2 Objectiv
Page 335 and 336: 328 Appendix A Minimum: x =(3 0:5)
Page 337 and 338: 330 Appendix A Figure A.3: Graphica
Page 339 and 340: 332 Appendix A Several of the searc
Page 345 and 346: 338 Appendix A Minimum: Start: Prob
Page 347 and 348: 340 Appendix A Problem 2.20 Objecti
Page 349 and 350: 342 Appendix A Problem 2.23 Objecti
Page 351 and 352: 344 Appendix A Start: x (0) i =10 f
Page 353 and 354: 346 Appendix A on the interval 0 y
Page 355 and 356: 348 Appendix A Problem 2.32 after B
Page 357 and 358: 350 Appendix A Constraints: Gj(x) =
Page 359 and 360: 352 Appendix A The constraints form
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354 Appendix A Start: x (0) =(250 2
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356 Appendix A Problem 2.44 As Prob
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358 Appendix A Figure A.29: Graphic
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360 Appendix A Start: Figure A.31:
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362 Appendix A Problem 3.2 (analogo
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364 Appendix A Problem 3.6 (analogo
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366 Appendix A Minimum: x i =0 for
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368 Appendix B LF (integer) Return
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370 Appendix B 4. Convergence crite
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372 Appendix B 8. Function Z(S,R) T
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374 Appendix B 25 L(K)=L(K+1) L(10)
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376 Appendix B LF=2 (continued) No
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378 Appendix B man), vol. 15 of Pro
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380 Appendix B instead of T, as a p
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382 Appendix B 15 CONTINUE 16 FF=F(
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384 Appendix B SK(KS)=AMAX1(SM(I),A
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386 Appendix B B.3 ( + ) Evolution
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388 Appendix B EPSILO (one dimensio
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390 Appendix B GLEICH (real functio
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392 Appendix B GLEICH, and TKONTR d
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394 Appendix B 1 NL=1+N-NS NM=N-1 N
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396 Appendix B ZSTERN=ZBEST K=LBEST
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398 Appendix B C NEGATIVE (LETHAL M
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400 Appendix B C C PREPARE FINAL DA
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402 Appendix B 2 IF(.NOT.BKOMMA.OR.
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404 Appendix B 32 WRITE(KANAL,126)
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406 Appendix B DO 4 I=1,NX KI=KI1 I
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408 Appendix B Subroutine MINMAX MI
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410 Appendix B 2 IF(U.LT..965487131
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412 Appendix B parameters by multip
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414 Appendix B
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416 Appendix C - SIMP Simplex strat
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418 Appendix C C.3.2 How to Install
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420 Appendix C { } return(0.26*(x[0
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422 Appendix C 1 No recombination 2
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424 Appendix C 8e-07 8e-07 Initial
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426 Index Banach, S., 10 Bandler, J
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428 Index Coordinate strategy, 41{4
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430 Index Evolution strategy, 3, 6,
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432 Index Graves, R.L., 23 Great de
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434 Index Khurgin, Ya.I., 89 Kiefer
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436 Index Michie, D., 102 Mickey, M
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438 Index Parkinson, J.M., 61 Parta
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440 Index Rotating coordinates meth
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442 Index Storey, C., 23, 50, 54 St
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444 Index Wilson, S.W., 103 Witt, U
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