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(MigOpt) 135.65 120.46 T3 F( is an optional vector with a maximum of 3 parameters:) 178.82 120.46 T230.9 168.46 436.39 454.95 C2 12 Q0 X0 K(C) 239.23 312.73 T(h) 246.42 312.73 T(r) 253.62 312.73 T(o) 260.82 312.73 T(m) 268.01 312.73 T(I) 317.28 425.09 T(n) 324.48 425.09 T(d) 331.67 425.09 T(1) 340.33 419.61 T(S) 349.23 425.09 T(u) 356.43 425.09 T(b) 363.63 425.09 T(P) 370.82 425.09 T(o) 378.02 425.09 T(p) 385.21 425.09 T(1) 393.87 419.61 T(I) 317.78 405.14 T(n) 324.98 405.14 T(d) 332.17 405.14 T(2) 340.83 399.65 T(S) 348.73 405.14 T(u) 355.93 405.14 T(b) 363.13 405.14 T(P) 370.32 405.14 T(o) 377.52 405.14 T(p) 384.71 405.14 T(1) 393.37 399.65 T4 F(\274) 353.68 385.18 T2 F(I) 317.28 369.2 T(n) 324.48 369.2 T(d) 331.67 369.2 T(N) 340.33 363.72 T(S) 349.23 369.2 T(u) 356.43 369.2 T(b) 363.63 369.2 T(P) 370.82 369.2 T(o) 378.02 369.2 T(p) 385.21 369.2 T(1) 393.87 363.72 T(I) 317.78 349.25 T(n) 324.98 349.25 T(d) 332.17 349.25 T(1) 340.83 343.77 T(S) 349.73 349.25 T(u) 356.93 349.25 T(b) 364.13 349.25 T(P) 371.32 349.25 T(o) 378.52 349.25 T(p) 385.71 349.25 T(2) 394.37 343.77 T(I) 317.78 329.3 T(n) 324.98 329.3 T(d) 332.17 329.3 T(2) 340.83 323.81 T(S) 348.73 329.3 T(u) 355.93 329.3 T(b) 363.13 329.3 T(P) 370.32 329.3 T(o) 377.52 329.3 T(p) 384.71 329.3 T(2) 393.37 323.81 T4 F(\274) 353.68 309.34 T2 F(I) 317.28 293.36 T(n) 324.48 293.36 T(d) 331.67 293.36 T(N) 340.33 287.88 T(S) 349.23 293.36 T(u) 356.43 293.36 T(b) 363.63 293.36 T(P) 370.82 293.36 T(o) 378.02 293.36 T(p) 385.21 293.36 T(2) 393.87 287.88 T4 F(\274) 353.68 273.41 T2 F(I) 299.29 257.43 T(n) 306.49 257.43 T(d) 313.68 257.43 T(1) 322.34 251.94 T(S) 331.24 257.43 T(u) 338.44 257.43 T(b) 345.64 257.43 T(P) 352.83 257.43 T(o) 360.03 257.43 T(p) 367.22 257.43 T(S) 375.88 251.94 T(U) 383.08 251.94 T(B) 390.27 251.94 T(P) 397.47 251.94 T(O) 404.67 251.94 T(P) 411.86 251.94 T(I) 299.79 237.47 T(n) 306.99 237.47 T(d) 314.18 237.47 T(2) 322.84 231.99 T(S) 330.74 237.47 T(u) 337.94 237.47 T(b) 345.14 237.47 T(P) 352.33 237.47 T(o) 359.53 237.47 T(p) 366.72 237.47 T(S) 375.38 231.99 T(U) 382.58 231.99 T(B) 389.77 231.99 T(P) 396.97 231.99 T(O) 404.17 231.99 T(P) 411.36 231.99 T4 F(\274) 353.68 217.52 T2 F(I) 299.29 201.54 T(n) 306.49 201.54 T(d) 313.68 201.54 T(N) 322.34 196.05 T(S) 331.24 201.54 T(u) 338.44 201.54 T(b) 345.64 201.54 T(P) 352.83 201.54 T(o) 360.03 201.54 T(p) 367.22 201.54 T(S) 375.88 196.05 T(U) 383.08 196.05 T(B) 390.27 196.05 T(P) 397.47 196.05 T(O) 404.67 196.05 T(P) 411.86 196.05 T4 F(=) 282.21 312.73 T300.79 193.57 296.79 193.57 2 L0.33 H0 ZN296.79 193.57 296.79 437.08 2 LN296.79 437.08 300.79 437.08 2 LN417.56 193.57 421.56 193.57 2 LN421.56 193.57 421.56 437.08 2 LN421.56 437.08 417.56 437.08 2 LN-8.35 24.95 603.65 816.95 CFMENDPAGE%%EndPage: "11" 12%%Page: "12" 12595.3 841.9 0 FMBEGINPAGE0 10 Q0 X0 K(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T(2-12) 513.33 61.29 T2 12 Q(MigOpt\0501\051) 135.65 736.95 T3 F(:) 200.41 736.95 T8.11 (scalar containing the rate of migration of individuals between) 171.65 722.95 P(subpopulations in the range) 171.65 708.95 T2 F([0, 1]) 306.9 708.95 T3 F(If omitted or) 171.65 694.95 T2 F(NaN) 235.27 694.95 T3 F(,) 256.86 694.95 T2 F(MigOpt\0501\051 = 0.2) 262.86 694.95 T3 F( \05020%\051 is assumed.) 370.8 694.95 T4.74 (If the migration rate is greater than 0 at least one individual per) 171.65 680.95 P(subpopulation will migrate.) 171.65 666.95 T2 F(MigOpt\0502\051) 135.65 646.95 T3 F(:) 200.41 646.95 T(scalar specifying the migration selection method) 171.65 632.95 T(0 - uniform migration) 171.65 618.95 T(1 - \336tness-based migration) 171.65 604.95 T(If omitted or NaN,) 171.65 590.95 T2 F(MigOpt\0502\051 = 0) 263.91 590.95 T3 F( is assumed.) 357.46 590.95 T2 F(MigOpt\0503\051) 135.65 570.95 T3 F(:) 200.41 570.95 T(scalar indicating the structure of the subpopulations for migration) 171.65 556.95 T(0 - complete net structure) 171.65 542.95 T(1 - neighbourhood structure) 171.65 528.95 T(2 - ring structure) 171.65 514.95 T(If omitted or) 171.65 500.95 T2 F(NaN,) 235.27 500.95 T(MigOpt\0503\051 = 0) 267.06 500.95 T3 F( is assumed) 360.6 500.95 T(If) 135.65 480.95 T2 F(MigOpt) 146.63 480.95 T3 F( is omitted or) 189.81 480.95 T2 F(NaN) 256.45 480.95 T3 F(, then the default values are assumed.) 278.03 480.95 T2 F0.25 (ObjV) 135.65 454.95 P3 F0.1 ( is an optional column vector with as many rows as) 164.43 454.95 P2 F0.25 (Chrom) 414.41 454.95 P3 F0.1 ( and contains the) 450.39 454.95 P2.17 (corresponding objective values for all individuals in) 135.65 440.95 P2 F5.22 (Chrom) 403.71 440.95 P3 F2.17 (. For \336tness-based) 439.69 440.95 P1.14 (selection of individuals \050) 135.65 426.95 P2 F2.73 (MigOpt\0502\051 = 1) 257.99 426.95 P3 F1.14 (\051) 356.99 426.95 P2 F2.73 (ObjV) 365.12 426.95 P3 F1.14 ( is necessary) 393.9 426.95 P1.14 (. If) 456.01 426.95 P2 F2.73 (ObjV) 475.27 426.95 P3 F1.14 ( is an) 504.05 426.95 P2.98 (input and output parameter) 135.65 412.95 P2.98 (, the objective values are copied according to the) 273.68 412.95 P0.45 (migration of the individuals. This saves the recomputation of the objective values) 135.65 398.95 P(for the whole population.) 135.65 384.95 T1 16 Q(Example) 117.65 356.29 T2 12 Q2.59 (Chrom = migrate\050Chrom, SUBPOP\051) 135.65 338.95 P3 F1.08 ( chooses 20% of the individuals of) 359.29 338.95 P6.2 (one subpopulation and replaces these individuals with uniformly chosen) 135.65 324.95 P5.26 (individuals from all other subpopulations. This process is done for each) 135.65 310.95 P(subpopulation. \050) 135.65 296.95 T2 F(MigOpt = [0.2, 0, 0]) 213.6 296.95 T3 F(\051) 357.53 296.95 T2 F-0.64 (Chrom = migrate\050Chrom, SUBPOP, [NaN 1 NaN], ObjV]\051) 135.65 270.95 P3 F-0.27 ( chooses) 490.95 270.95 P0.3 (20% of the individuals of one subpopulation and replaces these individuals with a) 135.65 256.95 P1.11 (selection of the \336ttest individuals \050smaller) 135.65 242.95 P2 F2.66 (ObjV) 346.85 242.95 P3 F1.11 (\051 from all other subpopulations.) 375.64 242.95 P(\050net structure\051 This process is repeated for each subpopulation.) 135.65 228.95 T2 F5.45 ([Chrom,ObjV] = migrate\050Chrom,SUBPOP,[0.3 1 2],ObjV]\051) 135.65 202.95 P3 F5.16 (chooses 30% of the individuals of one subpopulation and replaces these) 135.65 188.95 P5.9 (individuals with the \336ttest individuals \050smaller) 135.65 174.95 P2 F14.15 (ObjV) 397.58 174.95 P3 F5.9 (\051 from an adjacent) 426.37 174.95 P0.69 (subpopulation in a unidirectional ring structure. This process is repeated for each) 135.65 160.95 P1.12 (subpopulation. The \336rst subpopulation receives its new individuals from the last) 135.65 146.95 P4.69 (subpopulation \050) 135.65 132.95 P2 F11.26 (SUBPOP) 215.3 132.95 P3 F4.69 (\051.) 258.48 132.95 P2 F11.26 (ObjV) 273.16 132.95 P3 F4.69 ( is returned according to the migration of) 301.94 132.95 P(individuals.) 135.65 118.95 TFMENDPAGE%%EndPage: "12" 13%%Page: "13" 13595.3 841.9 0 FMBEGINPAGE0 10 Q0 X0 K(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T(2-13) 513.33 61.29 T3 12 Q(The migration scheme employed:) 135.65 736.95 T(subpop1-->subpop2-->subpop3-->...-->subpop) 135.65 722.95 T2 F(SUBPOP) 360.24 722.95 T3 F(--> subpop1) 403.41 722.95 T2 F1.85 ([Chrom,ObjV] = migrate\050Chrom,SUBPOP,[NaN NaN 1],ObjV]\051) 135.65 696.95 P3 F5.16 (chooses 20% of the individuals of one subpopulation and replaces these) 135.65 682.95 P0.69 (individuals with uniformly chosen individuals from both adjacent subpopulations) 135.65 668.95 P1.18 (in an one dimensional neighborhood structure. This process is repeated for each) 135.65 654.95 P1.12 (subpopulation. The \336rst subpopulation receives its new individuals from the last) 135.65 640.95 P2.3 (\050) 135.65 626.95 P2 F5.53 (SUBPOP) 139.64 626.95 P3 F2.3 (\051 and second subpopulation the last subpopulation from the \336rst and) 182.82 626.95 P2 F9.55 (SUBPOP-1) 135.65 612.95 P3 F3.98 ( subpopulation.) 193.22 612.95 P2 F9.55 (ObjV) 278.14 612.95 P3 F3.98 ( is returned according to the migration of) 306.92 612.95 P(individuals.) 135.65 598.95 T(The migration scheme employed:) 135.65 584.95 T(subpop) 135.65 570.95 T2 F(SUBPOP) 170.3 570.95 T3 F(-->subpop1<-->subpop2<-->...<-->subpop) 213.47 570.95 T2 F(SUBPOP) 417.71 570.95 T3 F(<--subpop1) 460.89 570.95 T1 16 Q(See Also) 117.65 542.29 T2 12 Q(select) 135.65 524.95 T3 F(,) 178.82 524.95 T2 F(recombin) 184.82 524.95 T3 F(,) 242.39 524.95 T2 F(mutate) 248.39 524.95 T3 F(,) 291.56 524.95 T2 F(reins) 297.56 524.95 T1 16 Q(Refer) 117.65 502.29 T(ence) 155.53 502.29 T3 12 Q-0.23 ([1] H. M) 135.65 484.95 P-0.23 (\237) 177.49 484.95 P-0.23 (hlenbein, M. Schomisch and J. Born, \322The Parallel Genetic Algorithm as) 183.49 484.95 P(a Function Optimizer\323,) 135.65 470.95 T0 F(Parallel Computing) 249.57 470.95 T3 F(, No. 17, pp.619-632, 1991.) 345.2 470.95 T0.73 ([2] T) 135.65 444.95 P0.73 (. Starkweather) 159.8 444.95 P0.73 (, D. Whitley and K. Mathias, \322Optimization using Distributed) 229.32 444.95 P0.29 (Genetic Algorithms\323, In) 135.65 430.95 P0 F0.29 (Parallel Pr) 255.77 430.95 P0.29 (oblems Solving fr) 309.93 430.95 P0.29 (om Natur) 394.02 430.95 P0.29 (e) 439.52 430.95 P3 F0.29 (, Lecture Notes in) 444.84 430.95 P(Computer Science, V) 135.65 416.95 T(ol. 496, pp. 176-185, Springer) 237.03 416.95 T(, 1991.) 381.13 416.95 T2.45 ([3] R. T) 135.65 390.95 P2.45 (anese, \322Distributed Genetic Algorithms\323,) 178.02 390.95 P0 F2.45 (Pr) 389.03 390.95 P2.45 (oc. ICGA 3) 400.58 390.95 P3 F2.45 (, pp. 434-439,) 459.78 390.95 P(Mor) 135.65 376.95 T(gan Kaufmann Publishers, 1989.) 156.09 376.95 T1.1 ([4] H.-M. V) 135.65 350.95 P1.1 (oigt, J. Born and I. Santibanez-Koref, \322Modelling and Simulation of) 194.26 350.95 P2.04 (Distributed Evolutionary Search Processes for Function Optimization\323, Parallel) 135.65 336.95 P0.35 (Problems Solving from Nature, Lecture Notes in Computer Science, V) 135.65 322.95 P0.35 (ol. 496, pp.) 476.65 322.95 P(373-380, Springer V) 135.65 308.95 T(erlag, 1991.) 233.25 308.95 TFMENDPAGE%%EndPage: "13" 14%%Page: "14" 14595.3 841.9 0 FMBEGINPAGE0 10 Q0 X0 K(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T(2-14) 513.33 61.29 T63.65 716.95 531.65 726.95 C63.65 725.95 531.65 725.95 2 L1 H2 Z0 X0 KN-8.35 24.95 603.65 816.95 C1 18 Q0 X0 K(mut) 63.65 732.95 T1 16 Q(Purpose) 117.65 692.29 T3 12 Q(Discrete mutation operator) 135.65 674.95 T1 16 Q(Synopsis) 117.65 646.29 T2 12 Q(NewChrom = mut\050OldChrom, Pm, BaseV\051) 135.65 628.95 T1 16 Q(Description) 117.65 606.29 T2 12 Q2.12 (mut) 135.65 588.95 P3 F0.88 ( takes the representation of the current population and mutates each element) 157.24 588.95 P2.74 (with a given probability) 135.65 574.95 P2.74 (. T) 258.02 574.95 P2.74 (o allow for varying bases in the chromosome and) 273.24 574.95 P1.06 (structured populations,) 135.65 560.95 P2 F2.54 (mut) 250.69 560.95 P3 F1.06 ( allows an additional ar) 272.28 560.95 P1.06 (gument) 388.22 560.95 P2 F2.54 (BaseV) 428.26 560.95 P3 F1.06 ( that speci\336es) 464.24 560.95 P(the base of the individual elements of a chromosome.) 135.65 546.95 T2 F11.77 (NewChrom = mut\050OldChrom, Pm\051) 135.65 520.95 P3 F4.91 ( takes the current population,) 372.46 520.95 P2 F5.12 (OldChrom) 135.65 506.95 P3 F2.13 (, with each row corresponding to an individuals, and mutates each) 193.22 506.95 P-0.17 (element with probability) 135.65 492.95 P2 F-0.41 (Pm) 256.07 492.95 P3 F-0.17 (. If the mutation probability) 270.46 492.95 P-0.17 (,) 401.92 492.95 P2 F-0.41 (Pm) 407.75 492.95 P3 F-0.17 (, is omitted,) 422.14 492.95 P2 F-0.41 (Pm=0.7/) 481.27 492.95 P3.06 (Lind) 135.65 478.95 P3 F1.28 ( is assumed, where) 164.43 478.95 P2 F3.06 (Lind) 263.13 478.95 P3 F1.28 ( is the length of the chromosome structure. This) 291.92 478.95 P3.3 (value is selected as it implies that the probability of any one element of a) 135.65 464.95 P1.07 (chromosome being mutated is approximately 0.5 \050see [1]\051. W) 135.65 450.95 P1.07 (ithout a third input) 438.82 450.95 P(ar) 135.65 436.95 T(gument,) 144.75 436.95 T2 F(mut) 186.73 436.95 T3 F( assumes that the population is binary coded.) 208.32 436.95 T2 F1.55 (NewChrom = \050OldChrom, Pm, BaseV\051) 135.65 410.95 P3 F0.64 ( uses a third ar) 372.11 410.95 P0.64 (gument to specify) 444.41 410.95 P1.25 (the base of the mutation of the individual elements of the chromosomes. In this) 135.65 396.95 P0.08 (case,) 135.65 382.95 P2 F0.2 (length\050BaseV\051 = Lind) 162.37 382.95 P3 F0.08 (, where) 306.68 382.95 P2 F0.2 (Lind) 345.14 382.95 P3 F0.08 ( is the length of the chromosome) 373.92 382.95 P(structure.) 135.65 368.95 T2 F(mut) 135.65 342.95 T3 F( is a low-level mutation function normally called by) 157.24 342.95 T2 F(mutate) 409.41 342.95 T3 F(.) 452.59 342.95 T1 16 Q(Example) 117.65 314.29 T3 12 Q(Consider a binary population) 135.65 296.95 T2 F(OldChrom) 278.23 296.95 T3 F( with 4 individuals each of length 8:) 335.79 296.95 T2 F(OldChrom =[) 135.65 276.95 T(0 0 0 0 0 1 1 1;) 153.65 262.95 T(1 0 0 0 1 0 0 1;) 153.65 248.95 T(0 0 1 0 1 0 0 0;) 153.65 234.95 T(1 1 0 1 1 0 1 1]) 153.65 220.95 T3 F(Mutate) 135.65 200.95 T2 F(OldChrom) 172.62 200.95 T3 F( with default probability:) 230.19 200.95 T2 F(NewChrom = mut\050OldChrom\051) 135.65 180.95 T3 F(Thus,) 135.65 160.95 T2 F(NewChrom) 165.63 160.95 T3 F( can become:) 223.2 160.95 TFMENDPAGE%%EndPage: "14" 15%%Page: "15" 15595.3 841.9 0 FMBEGINPAGE0 10 Q0 X0 K(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T(2-15) 513.33 61.29 T2 12 Q(NewChrom =) 135.65 736.95 T(0 0 1 0 0 1 1 1) 153.65 722.95 T(1 1 0 0 0 0 0 1) 153.65 708.95 T(0 0 0 0 1 0 0 0) 153.65 694.95 T(1 1 0 1 1 0 1 1) 153.65 680.95 T3 F4.05 (Th
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