Evolution and Optimum Seeking

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276 References Hadamard, J. (1908), Memoire sur le probleme d'analyse relatif al'equilibre des plaques elastiques encastrees, Memoires presentes par divers savants a l' Academie des sciences de l'Institut national de France, 2nd Ser., vol. 33 (savants etrangers), no. 4, pp. 1-128 Hadley, G. (1962), Linear programming, Addison-Wesley, Reading MA Hadley, G. (1969), Nichtlineare und dynamische Programmierung, Physica-Verlag, Wurzburg, Germany Haefner, K. (Ed.) (1992), Evolution of information processing systems|an interdisciplinary approach for a new understanding of nature and society, Springer, Berlin Hague, D.S., C.R. Glatt (1968), An introduction to multivariable search techniques for parameter optimization and program AESOP, Boeing Space Division, report NASA- CR-73200, Seattle WA, March 1968 Hamilton, P.A., J. Boothroyd (1969), Remark on algorithm 251 (E4)|function minimization, CACM 12, 512-513 Hammel, U. (1991), Cartoon|combining modular simulation, regression, and optimization in an object-oriented environment, in: Kohler (1991), pp. 854-855 Hammel, U., T. Back (1994), Evolution strategies on noisy functions|how toimprove convergence properties, in: Davidor, Schwefel, and Manner (1994), pp. 159-168 Hammer, P.L. (Ed.) (1984), Stochastics and optimization, Annals of Operations Research, vol. 1, Baltzer, Basle, Switzerland Hammersley, J.M., D.C. Handscomb (1964), Monte Carlo methods, Methuen, London Hancock, H. (1960), Theory of maxima and minima, Dover, New York Hansen, P.B. (1972), Structured multiprogramming, CACM 15, 574-578 Harkins, A. (1964), The use of parallel tangents in optimization, in: Blakemore and Davis (1964), pp. 35-40 Hartmann, D. (1974), Optimierung balkenartiger Zylinderschalen aus Stahlbeton mit elastischem und plastischem Werksto verhalten, Dr.-Ing. Diss., University of Dortmund, July 1974 Haubrich, J.G.A. (1963), Algorithm 205 (E4)|ative, CACM 6, 519 Heckler, R. (1979), OASIS|optimization and simulation integrating system|status report, technical report KFA-STE-IB-2/79, Nuclear Research Center (KFA) Julich, Germany, Dec. 1979
References 277 Heckler, R., H.-P. Schwefel (1978), Superimposing direct search methods for parameter optimization onto dynamic simulation models, in: Highland, Nielsen, and Hull (1978), pp. 173-181 Heinhold, J., K.W. Gaede (1972), Ingenieur-Statistik, 3rd ed., Oldenbourg, Munich Henn, R., H.P. Kunzi (1968), Einfuhrung in die Unternehmensforschung I und II, Springer, Berlin Herdy, M. (1992), Reproductive isolation as strategy parameter in hierarchical organized evolution strategies, in: Manner and Manderick (1992), pp. 207-217 Herschel, R. (1961), Automatische Optimisatoren, Elektronische Rechenanlagen 3, 30-36 Hertel, H. (1963), Biologie und Technik, Band 1: Struktur - Form - Bewegung, Krausskopf Verlag, Mainz Hesse, R. (1973), A heuristic search procedure for estimating a global solution of nonconvex programming problems, Oper. Res. 21, 1267-1280 Hestenes, M.R. (1956), The conjugate-gradient method for solving linear systems, Proc. Symp. Appl. Math. 6, 83-102 Hestenes, M.R. (1966), Calculus of variations and optimal control theory, Wiley, New York Hestenes, M.R. (1969), Multiplier and gradient methods, in: Zadeh, Neustadt, and Balakrishnan (1969a), pp. 143-163 Hestenes, M.R. (1973), Iterative methods for solving linear equations, JOTA 11, 323-334 (reprint of the original from 1951) Hestenes, M.R., M.L. Stein (1973), The solution of linear equations by minimization, JOTA 11, 335-359 (reprint of the original from 1951) Hestenes, M.R., E. Stiefel (1952), Methods of conjugate gradients for solving linear systems, NBS J. Research 49, 409-436 Heusener, G. (1970), Optimierung natriumgekuhlter schneller Brutreaktoren mit Methoden der nichtlinearen Programmierung, report KFK-1238, Nuclear Research Center (KfK) Karlsruhe, Germany, July1970 Heydt, G.T. (1970), Directed random search, Ph.D. thesis, Purdue University, Lafayette IN, Aug. 1970 Heynert, H. (1972), Einfuhrung in die allgemeine Bionik, Deutscher Verlag der Wissenschaften, Berlin Highland, H.J., N.R. Nielsen, L.G. Hull (Eds.) (1978), Proceedings of the Winter Simulation Conference, Miami Beach FL, Dec. 4-6, 1978
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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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Page 233 and 234: Numerical Comparison of Strategies
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Page 257 and 258: 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: References 275 Graves, R.L., P. Wol
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 and 310: 302 References Powell, M.J.D. (1970
Page 311 and 312: 304 References Rechenberg, I. (1989
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
Page 331 and 332: 324 References
Page 333 and 334: 326 Appendix A Problem 1.2 Objectiv
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328 Appendix A Minimum: x =(3 0:5)
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330 Appendix A Figure A.3: Graphica
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332 Appendix A Several of the searc
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338 Appendix A Minimum: Start: Prob
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340 Appendix A Problem 2.20 Objecti
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342 Appendix A Problem 2.23 Objecti
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344 Appendix A Start: x (0) i =10 f
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346 Appendix A on the interval 0 y
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348 Appendix A Problem 2.32 after B
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350 Appendix A Constraints: Gj(x) =
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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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