756 1579 17 (c) 17 SB1184 1579 17 (h) 17 SB32 0 0 50 50 0 0 0 51 /Symbol font517 1613 27 (=) 27 SB608 1613 13 (\327) 13 SB661 1613 27 (+) 27 SB832 1613 27 (-) 27 SB921 1613 13 (\327) 13 SB1055 1613 13 (\327) 13 SB1107 1613 13 (\327) 13 SB1347 1613 27 (-) 27 SB1482 1613 27 (\243) 27 SB1571 1613 27 (\243) 27 SB32 0 0 29 29 0 0 0 29 /Symbol font715 1683 16 (=) 16 SB32 0 0 75 75 0 0 0 76 /Symbol font697 1599 53 (\345) 53 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font939 1619 66 (cos) 66 SB1407 1619 13 (,) 13 SB1633 1619 13 (,) 13 SB32 0 0 50 50 0 0 0 51 /Symbol font1073 1613 27 (p) 27 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font400 1752 333 (global minimum) 333 SB731 1752 14 (:) 14 SB32 0 0 50 50 0 0 0 47 /Times-Italic /font31 ANSIFont font793 1750 22 (x) 22 SB1012 1750 14 (f) 14 SB1056 1750 22 (x) 22 SB32 0 0 29 29 0 0 0 27 /Times-Italic /font31 ANSIFont font816 1783 8 (i) 8 SB32 0 0 50 50 0 0 0 51 /Symbol font841 1746 27 (=) 27 SB1109 1746 27 (=) 27 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font881 1752 25 (0) 25 SB1149 1752 25 (0) 25 SB32 0 0 101 101 0 0 0 85 /MSTT31c2c7 font1035 1711 17 (a) 17 SB1082 1711 17 (f) 17 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font279 1884 836 (This function is implemented in the m-file ) 836 SB32 0 0 50 50 0 0 0 39 /Courier /font0 ANSIFont font1115 1890 270 (objfun6.m) 270 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1385 1884 13 (.) 13 SB32 0 0 58 58 0 0 0 54 /Times-Bold /font29 ANSIFont font279 2051 621 (2.6. Schwefel's function 7) 621 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font279 2236 221 (Schwefel's ) 223 SB502 2236 176 (function ) 178 SB680 2236 44 (is ) 46 SB726 2236 202 (deceptive ) 204 SB930 2236 49 (in ) 51 SB981 2236 89 (that ) 91 SB1072 2236 74 (the ) 76 SB1148 2236 134 (global ) 136 SB1284 2236 197 (minimum ) 199 SB1483 2236 44 (is ) 47 SB1530 2236 268 (geometricaly ) 271 SB1801 2236 158 (distant, ) 161 SB1962 2236 89 (over) 89 SB279 2311 74 (the ) 78 SB357 2311 212 (parameter ) 216 SB573 2311 136 (space, ) 140 SB713 2311 108 (from ) 112 SB825 2311 74 (the ) 79 SB904 2311 98 (next ) 103 SB1007 2311 93 (best ) 98 SB1105 2311 107 (local ) 112 SB1217 2311 170 (minima. ) 175 SB1392 2311 222 (Therefore, ) 227 SB1619 2311 74 (the ) 79 SB1698 2311 139 (search ) 144 SB1842 2311 209 (algorithms) 209 SB279 2386 1191 (are potentially prone to convergence in the wrong direction.) 1191 SB1 lc1 lj0 0 0 pC0 2 SP831 2504 M 0 60 1 PPSn880 2504 M 0 60 1 PPSn797 2543 M 6 -3 1 PPSn0 4 SP803 2541 M 10 25 1 PPSn0 2 SP814 2566 M 12 -71 1 PPSn826 2495 M 61 0 1 PPSn32 0 0 50 50 0 0 0 47 /Times-Italic /font31 ANSIFont font408 2500 14 (f) 14 SB464 2500 22 (x) 22 SB650 2500 22 (x) 22 SB839 2500 22 (x) 22 SB1217 2500 22 (x) 22 SB32 0 0 29 29 0 0 0 27 /Times-Italic /font31 ANSIFont font673 2532 8 (i) 8 SB862 2532 8 (i) 8 SB564 2568 8 (i) 8 SB576 2468 15 (n) 15 SB1240 2532 8 (i) 8 SB32 0 0 29 29 0 0 0 26 /Times-Roman /font32 ANSIFont font423 2533 15 (7) 15 SB590 2569 15 (1) 15 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1089 2502 75 (500) 75 SB1304 2502 75 (500) 75 SB32 0 0 100 100 0 0 1 84 /MSTT31c2af font442 2462 17 (a) 17 SB489 2462 17 (f) 17 SB%%BeginResource: font MSTT31c2af/G65 [17.0 0.0 2.0 -18.0 14.0 61.0]/G65 {    12 79 true [1 0 0 -1 -2.0 61.0] {<001000300060006000c000c00180038003000300060006000e000e000c001c001c001c003c00380038003800780078007800780070007000f000f000f000f000f000f000f000f000f000f000f000f000f000f000f000f000f000f000f000f000f000f000f0007000780078007800780078003800380038003c001c001c001c000c000e000e0006000600030003000300018001c000c00060006000300010>} imagemask   }  101 /G65 MSTT31c2af AddChar%%EndResource776 2462 17 (e) 17 SB%%BeginResource: font MSTT31c2af/G6a [17.0 0.0 0.0 -18.0 13.0 61.0]/G6a {    13 79 true [1 0 0 -1 0.0 61.0] {<4000600060003000380018000c000c00060006000700030003800380038001c001c001c001e000e000e000e000f000f000f000f000700070007000780078007800780078007800780078007800780078007800780078007800780078007800780078007800700070007000f000f000f000f000e000e000e001e001c001c001c003800380038003000700060006000c000c00180038003000600060004000>} imagemask   }  106 /G6a MSTT31c2af AddChar%%EndResource890 2462 17 (j) 17 SB32 0 0 50 50 0 0 0 51 /Symbol font517 2496 27 (=) 27 SB617 2496 27 (-) 27 SB699 2496 13 (\327) 13 SB1053 2496 27 (-) 27 SB1176 2496 27 (\243) 27 SB1265 2496 27 (\243) 27 SB32 0 0 29 29 0 0 0 29 /Symbol font574 2566 16 (=) 16 SB32 0 0 75 75 0 0 0 76 /Symbol font556 2482 53 (\345) 53 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font716 2502 58 (sin) 58 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font400 2635 333 (global minimum) 333 SB732 2635 14 (:) 14 SB32 0 0 50 50 0 0 0 47 /Times-Italic /font31 ANSIFont font793 2633 22 (x) 22 SB1180 2633 14 (f) 14 SB1224 2633 22 (x) 22 SB1317 2633 25 (n) 25 SB32 0 0 29 29 0 0 0 27 /Times-Italic /font31 ANSIFont font816 2666 8 (i) 8 SB32 0 0 50 50 0 0 0 51 /Symbol font842 2629 27 (=) 27 SB1277 2629 27 (=) 27 SB1348 2629 13 (\327) 13 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font882 2635 75 (420) 75 SB975 2635 100 (9687) 100 SB1367 2635 75 (418) 75 SB1458 2635 100 (9829) 100 SB957 2635 13 (,) 13 SB1440 2635 13 (,) 13 SB32 0 0 101 101 0 0 0 85 /MSTT31c2c7 font1203 2594 17 (a) 17 SB1250 2594 17 (f) 17 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font279 2767 836 (This function is implemented in the m-file ) 836 SB32 0 0 50 50 0 0 0 39 /Courier /font0 ANSIFont font1115 2773 270 (objfun7.m) 270 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1385 2767 13 (.) 13 SB32 0 0 38 38 0 0 0 34 /Times-Roman /font32 ANSIFont font279 3120 420 (Genetic Algorithm Toolbox) 420 SB1826 3120 225 (Test Functions) 225 SB255 255 255 fC1783 3 273 3071 B1 Fn0 0 0 fC1783 2 273 3068 B1 Fn1 #Cstatusdict begin /manualfeed false store endEJ RS%%PageTrailer%%PageResources: font Courier%%+ font MSTT31c2af%%+ font MSTT31c2c7%%+ font Symbol%%+ font Times-Bold%%+ font Times-Italic%%+ font Times-Roman%%Page: 5 5%%PageResources: (atend)SS0 0 25 31 776 1169 300 SM32 0 0 38 38 0 0 0 34 /Times-Roman /font32 ANSIFont font0 0 0 fC279 116 414 (2. Parametric Optimization) 414 SB1949 116 83 (Page ) 83 SB2032 116 19 (5) 19 SB255 255 255 fC/fm 256 def1783 3 273 159 B1 Fn0 0 0 fC1783 2 273 163 B1 Fn32 0 0 58 58 0 0 0 54 /Times-Bold /font29 ANSIFont font279 210 677 (2.7. Griewangk's function 8) 677 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font279 395 259 (Griewangk's ) 269 SB548 395 176 (function ) 186 SB734 395 44 (is ) 54 SB788 395 144 (similar ) 154 SB942 395 54 (to ) 64 SB1006 395 219 (Rastrigin's ) 229 SB1235 395 189 (function. ) 199 SB1434 395 45 (It ) 55 SB1489 395 78 (has ) 89 SB1578 395 119 (many ) 130 SB1708 395 238 (widespread ) 249 SB1957 395 94 (local) 94 SB279 470 1396 (minima. However, the location of the minima are regularly distributed.) 1396 SB1 lc1 lj0 0 0 pC0 2 SP617 618 M 106 0 1 PPSn937 660 M 6 -4 1 PPSn0 4 SP943 657 M 9 15 1 PPSn0 2 SP953 672 M 13 -46 1 PPSn966 626 M 19 0 1 PPSn932 618 M 57 0 1 PPSn32 0 0 50 50 0 0 0 47 /Times-Italic /font31 ANSIFont font408 584 14 (f) 14 SB463 584 22 (x) 22 SB649 552 22 (x) 22 SB943 552 22 (x) 22 SB968 623 14 (i) 14 SB1390 584 22 (x) 22 SB32 0 0 29 29 0 0 0 27 /Times-Italic /font31 ANSIFont font672 585 8 (i) 8 SB563 652 8 (i) 8 SB575 552 15 (n) 15 SB966 585 8 (i) 8 SB781 652 8 (i) 8 SB794 552 15 (n) 15 SB1413 616 8 (i) 8 SB32 0 0 29 29 0 0 0 26 /Times-Roman /font32 ANSIFont font422 617 15 (8) 15 SB675 551 15 (2) 15 SB589 653 15 (1) 15 SB808 653 15 (1) 15 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font621 625 100 (4000) 100 SB1056 586 25 (1) 25 SB1262 586 75 (600) 75 SB1476 586 75 (600) 75 SB32 0 0 100 100 0 0 1 84 /MSTT31c2af font441 546 17 (a) 17 SB488 546 17 (f) 17 SB32 0 0 50 50 0 0 0 51 /Symbol font516 580 27 (=) 27 SB734 580 27 (-) 27 SB32 0 0 100 100 0 0 1 84 /MSTT31c2af font905 520 19 (F) 19 SB905 580 19 (H) 19 SB905 551 19 (G) 19 SB991 520 19 (I) 19 SB991 580 19 (K) 19 SB991 551 19 (J) 19 SB32 0 0 50 50 0 0 0 51 /Symbol font1024 580 27 (+) 27 SB1226 580 27 (-) 27 SB1348 580 27 (\243) 27 SB1438 580 27 (\243) 27 SB32 0 0 29 29 0 0 0 29 /Symbol font573 650 16 (=) 16 SB792 650 16 (=) 16 SB32 0 0 75 75 0 0 0 76 /Symbol font555 566 53 (\345) 53 SB770 566 62 (\325) 62 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font838 586 66 (cos) 66 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font400 719 333 (global minimum) 333 SB731 719 14 (:) 14 SB32 0 0 50 50 0 0 0 47 /Times-Italic /font31 ANSIFont font793 717 22 (x) 22 SB1012 717 14 (f) 14 SB1056 717 22 (x) 22 SB32 0 0 29 29 0 0 0 27 /Times-Italic /font31 ANSIFont font816 750 8 (i) 8 SB32 0 0 50 50 0 0 0 51 /Symbol font841 713 27 (=) 27 SB1109 713 27 (=) 27 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font881 719 25 (0) 25 SB1149 719 25 (0) 25 SB32 0 0 101 101 0 0 0 85 /MSTT31c2c7 font1035 678 17 (a) 17 SB1082 678 17 (f) 17 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font279 851 836 (This function is implemented in the m-file ) 836 SB32 0 0 50 50 0 0 0 39 /Courier /font0 ANSIFont font1115 857 270 (objfun8.m) 270 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1385 851 13 (.) 13 SB32 0 0 58 58 0 0 0 54 /Times-Bold /font29 ANSIFont font279 1018 1002 (2.8. Sum of different Powers \(function 9\)) 1002 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font279 1203 1435 (The sum of different powers is a commonly used unimodal test function.) 1435 SB619 1321 M 0 60 1 PPSn668 1321 M 0 60 1 PPSn32 0 0 50 50 0 0 0 47 /Times-Italic /font31 ANSIFont font408 1317 14 (f) 14 SB464 1317 22 (x) 22 SB627 1317 22 (x) 22 SB992 1317 22 (x) 22 SB32 0 0 29 29 0 0 0 27 /Times-Italic /font31 ANSIFont font650 1349 8 (i) 8 SB684 1307 8 (i) 8 SB564 1385 8 (i) 8 SB576 1285 15 (n) 15 SB1015 1349 8 (i) 8 SB32 0 0 29 29 0 0 0 26 /Times-Roman /font32 ANSIFont font422 1350 15 (9) 15 SB710 1308 15 (1) 15 SB590 1386 15 (1) 15 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font918 1319 25 (1) 25 SB1075 1319 25 (1) 25 SB32 0 0 100 100 0 0 1 84 /MSTT31c2af font443 1279 17 (a) 17 SB489 1279 17 (f) 17 SB%%BeginResource: font MSTT31c2d2/MSTT31c2d2 [58.0 0 0 0 0 0] 17 -136 [-58.0 -58.0 58.0 58.0] [1 58 div 0 0 1 58 div 0 0] /MSTT31c2d2 GreNewFont%%EndResource32 0 0 58 58 0 0 1 49 /MSTT31c2d2 font%%BeginResource: font MSTT31c2d2/G61 [10.0 0.0 1.0 -6.0 8.0 23.0]/G61 {    7 29 true [1 0 0 -1 -1.0 23.0] {<020408103020606060c0c0c0c0c0c0c0c0c0c0c0606060203010080402>} imagemask   }  97 /G61 MSTT31c2d2 AddChar%%EndResource673 1284 10 (a) 10 SB%%BeginResource: font MSTT31c2d2/G66 [10.0 0.0 1.0 -6.0 8.0 23.0]/G66 {    7 29 true [1 0 0 -1 -1.0 23.0] {<804020101008080c0c04060606060606060606040c0c08081010204080>} imagemask   }  102 /G66 MSTT31c2d2 AddChar%%EndResource724 1284 10 (f) 10 SB32 0 0 50 50 0 0 0 51 /Symbol font517 1313 27 (=) 27 SB886 1313 27 (-) 27 SB951 1313 27 (\243) 27 SB1040 1313 27 (\243) 27 SB32 0 0 29 29 0 0 0 29 /Symbol font695 1305 16 (+) 16 SB574 1383 16 (=) 16 SB32 0 0 75 75 0 0 0 76 /Symbol font556 1299 53 (\345) 53 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font400 1452 333 (global minimum) 333 SB731 1452 14 (:) 14 SB32 0 0 50 50 0 0 0 47 /Times-Italic /font31 ANSIFont font793 1450 22 (x) 22 SB1012 1450 14 (f) 14 SB1056 1450 22 (x) 22 SB32 0 0 29 29 0 0 0 27 /Times-Italic /font31 ANSIFont font816 1483 8 (i) 8 SB32 0 0 50 50 0 0 0 51 /Symbol font841 1446 27 (=) 27 SB1109 1446 27 (=) 27 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font881 1452 25 (0) 25 SB1149 1452 25 (0) 25 SB32 0 0 101 101 0 0 0 85 /MSTT31c2c7 font1035 1411 17 (a) 17 SB1082 1411 17 (f) 17 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font279 1584 836 (This function is implemented in the m-file ) 836 SB32 0 0 50 50 0 0 0 39 /Courier /font0 ANSIFont font1115 1590 270 (objfun9.m) 270 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1385 1584 13 (.) 13 SB32 0 0 38 38 0 0 0 34 /Times-Roman /font32 ANSIFont font279 3120 420 (Genetic Algorithm Toolbox) 420 SB1826 3120 225 (Test Functions) 225 SB255 255 255 fC1783 3 273 3071 B1 Fn0 0 0 fC1783 2 273 3068 B1