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Particle Swarm Optimization Program
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Algorithm Parameters
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No of Particle =10
Population Size =26
Max number of iterations =200
Inertia weights, wmin =0.400000
Inertia weights, wmax =0.900000
Randomness Constant, c1 =1.000000
Randomness Constant, c2 =1.000000
Initial Velocities of particles:
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9.6627 7.9752 56.5788 -5.6411 -25.7521 -38.6005 4.9983 9.3299 41.0305 -3.6432 -1.1121 -1.7171 10.8193 48.1996 14.8901 17.3343 10.6131 10.2674 26.5289 -2.7622 34.1470 -54.9483 -43.9104 -22.5414 -19.1939 -14.4060
-4.6368 15.9097 -8.1002 -33.1667 39.7653 1.0178 4.4560 -1.2015 36.3010 -25.0218 -0.8910 -1.9695 29.0873 -44.7826 -4.7908 13.2712 -11.1469 23.6289 -27.9155 48.2446 2.7732 43.1345 38.1571 2.0386 -11.1741 42.3145
18.4895 -9.1017 -42.5293 30.3344 -16.6169 11.0374 6.9006 14.8990 42.2353 -50.5944 19.5717 15.9274 39.0879 4.3299 2.9936 6.1043 -3.4642 15.8020 43.4689 19.6470 15.0994 30.0831 37.8517 -47.8874 35.2963 -7.3649
3.2838 12.8470 50.0212 -21.3044 16.8004 18.5573 0.6126 3.1957 17.8371 4.5775 2.9263 -3.9973 6.3238 9.0152 -6.2701 28.3819 13.1871 -2.2871 5.1540 35.7554 66.8057 35.6857 -25.6776 -22.1153 -38.9713 -16.8475
-14.1331 18.0207 -39.8353 -23.4416 40.8460 -17.2742 -0.6672 -11.2140 33.6442 39.5836 -2.7436 17.6766 38.2727 34.7948 22.1804 15.5305 20.6336 11.8813 -23.5919 34.0788 -41.7414 24.9538 -10.2449 -31.2987 17.6466 -33.7999
20.5321 -4.0946 22.9455 45.3111 47.3499 27.7731 10.7712 -9.5859 56.0013 30.2544 14.6597 0.3059 17.4489 16.3603 -10.9109 -21.8566 -6.1748 12.6028 -45.7411 59.2807 -45.2653 39.6605 -38.8140 -39.5722 -41.5875 31.6766
-5.2703 6.6192 -17.6776 48.8848 26.9933 19.5029 3.3059 18.8576 -9.0818 -5.1527 -5.6959 -7.9872 -9.5009 -44.7992 2.1774 10.1883 10.4048 18.4172 17.6103 30.3392 40.3993 2.6000 21.2588 44.2401 39.4822 -36.1986
-3.1673 14.2902 -27.3172 -36.3194 -10.1842 -10.9631 12.4865 -13.8089 -43.3887 52.6101 9.0653 -1.8111 -19.3976 1.1227 0.6384 24.4210 9.2706 -6.0124 65.9672 7.5694 58.6574 -20.7050 8.7853 -23.9473 6.7337 -40.8437
1.6157 11.0800 -32.0384 32.1993 53.9073 51.4142 12.9147 3.3953 -50.1400 -21.4940 0.5279 0.0487 -15.0476 58.8514 5.0675 25.3497 1.2041 -8.1690 -32.7724 6.2122 33.9833 69.7742 13.9355 39.1892 8.3811 -13.5534
16.6675 14.0268 -37.0700 -3.5520 -37.6686 -16.8880 -1.0028 -10.9088 17.9423 47.7487 -8.8374 -5.7578 34.8944 56.7572 17.6993 -15.3787 -5.2376 1.8828 64.1356 -46.8482 -9.7856 66.4971 40.4140 46.7947 44.0904 49.7103
Initial Solution/Position of particles:
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41.7844 34.4703 98.7659 114.2013 113.6957 113.0467 33.8323 36.1220 116.3638 112.5508 40.4679 32.6468 105.3405 105.6401 61.1897 48.8931 36.3096 26.0883 101.7001 108.9230 132.4727 121.1100 101.7184 97.0040 117.2126 100.1696
41.5146 40.8382 99.6398 97.8903 112.5023 109.7292 43.1573 39.7059 114.9736 106.2417 41.7110 39.1446 122.9928 103.7313 59.7543 59.4299 30.2467 32.9705 112.4186 99.0646 123.3219 123.2941 129.8443 111.8726 108.6316 98.3652
41.7934 32.3853 104.9212 102.3842 111.0678 111.5862 40.7460 44.0154 109.9051 113.7023 36.2314 41.4318 99.2082 123.5665 59.2860 51.6803 35.2087 33.2225 131.4921 128.5127 140.0442 127.9843 120.7623 96.4474 107.1520 101.5611
40.2796 32.6780 101.4647 98.3068 113.7755 113.9165 43.1939 33.2490 117.6970 113.1849 34.0568 31.8672 98.8481 119.7745 57.7531 48.7729 28.7592 41.1079 130.9851 119.4528 124.9036 132.8003 128.6434 117.5121 97.1211 111.0882
34.6332 37.7962 97.3206 107.5379 112.5891 108.8951 40.9178 44.0136 118.7938 119.9330 30.8198 41.2161 102.3420 99.7527 49.1577 52.1637 31.4675 46.6760 119.6416 103.6579 137.4290 139.2239 108.2284 113.0120 97.8069 117.3261
37.6637 40.6956 114.0879 99.0708 111.4361 113.6870 40.0397 38.8535 107.0513 113.3553 36.9320 41.9345 104.1223 116.2152 50.7027 54.1368 30.0620 29.9193 107.5920 122.9731 133.2958 122.3081 115.1370 115.3185 97.1068 109.7291
36.0748 32.6447 101.9112 98.5218 113.6466 112.6713 35.0618 44.1472 115.0615 114.1698 32.1230 36.0911 120.3295 114.9299 60.5853 61.8258 30.3157 30.1496 127.5699 127.8176 134.4776 126.5463 100.6677 117.4409 112.9485 119.0795
30.0228 38.4967 110.7328 103.9605 109.6392 113.2593 36.4752 36.0679 119.8743 106.7067 36.6801 38.3039 117.7752 97.9292 49.4589 52.2298 34.6723 41.5517 97.7466 122.0209 135.6658 124.2576 114.4205 105.7439 102.3114 105.5262
39.6402 37.9507 107.7383 119.6882 111.5731 111.8120 33.7450 42.0870 116.4716 109.2655 32.2143 32.9880 119.3523 114.7136 55.9013 58.7681 25.7530 36.2926 117.4879 129.8767 140.6558 120.2782 110.9838 121.9223 111.1841 117.1368
32.6731 39.9297 112.9778 103.3549 109.1336 109.5654 44.2848 36.4446 113.5044 113.3033 39.0788 36.9430 109.1236 125.6437 49.5706 54.4158 24.9589 36.2197 104.5594 107.6429 135.6975 130.7839 102.9454 116.2628 116.7687 117.9706
Initial Optimum/Best Solution:
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x(1) = 41.7844
x(2) = 34.4703
x(3) = 98.7659
x(4) = 114.2013
x(5) = 113.6957
x(6) = 113.0467
x(7) = 33.8323
x(8) = 36.1220
x(9) = 116.3638
x(10) = 112.5508
x(11) = 40.4679
x(12) = 32.6468
x(13) = 105.3405
x(14) = 105.6401
x(15) = 61.1897
x(16) = 48.8931
x(17) = 36.3096
x(18) = 26.0883
x(19) = 101.7001
x(20) = 108.9230
x(21) = 132.4727
x(22) = 121.1100
x(23) = 101.7184
x(24) = 97.0040
x(25) = 117.2126
x(26) = 100.1696
Final Velocities of particles:
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9.6627 -5.7873 -49.7419 22.7242 7.3556 -6.3904 -5.6592 -27.9706 -30.0442 22.7273 14.4597 11.9744 41.4331 -8.3068 -22.2991 16.9595 47.2332 3.3321 20.8989 35.3855 -12.7979 46.5661 2.4523 -20.6487 -31.6001 11.4106
-4.6368 11.2723 -82.7568 44.5691 18.4476 -12.9807 -10.7855 -27.7307 -13.9663 40.6742 -0.4240 16.2884 21.5854 -9.4326 0.7511 -4.3258 62.1896 -31.3692 42.2080 30.6984 11.8083 66.2127 26.3175 -34.1616 -42.6365 -39.4428
18.4895 -4.3613 -107.3849 16.5807 6.3318 -20.1064 -19.1774 -14.4521 -44.2618 33.3152 -11.2123 28.1589 23.8194 -36.1667 0.3257 28.3336 57.1054 18.6253 -23.0153 -48.3698 43.0113 67.3856 -12.2841 -71.8584 -48.6255 -23.4166
3.2838 19.6374 -62.0012 60.4189 5.8320 -12.2088 -3.6861 -13.2800 -31.8678 27.1124 1.0412 17.3331 37.3161 -45.6277 -14.8396 -2.6730 68.8011 6.1225 17.1907 6.7182 11.7269 32.4571 15.8412 -72.0047 -21.1502 -4.9289
-14.1331 8.7869 -86.2817 44.9607 11.5353 -8.2357 1.8711 -39.2956 -24.5008 47.4307 4.9370 13.6182 28.2060 -34.5604 -6.4011 16.4394 -1.2182 8.2229 41.0744 -8.4056 -18.4951 54.1768 -43.7408 -6.5029 -23.4063 -19.7483
20.5321 7.8333 -69.3426 41.9733 9.7340 -6.3997 -0.0106 -22.5619 -21.8027 33.1759 -9.4876 27.2636 3.2327 -25.9565 -12.8998 -4.0904 55.2323 -12.0018 39.0019 29.2357 38.3086 53.9692 22.9472 -5.3220 -12.3129 -19.9082
-5.2703 12.4844 -68.2775 50.5971 15.4399 -11.7544 2.8837 -14.2444 -27.7657 33.8090 0.6890 21.0999 23.7535 -32.0656 -12.7080 16.6786 2.9848 -3.8909 -40.1747 -26.6394 33.0092 64.2776 41.1619 -14.7890 6.6600 -7.1350
-3.1673 9.8336 -85.0508 61.3315 3.7014 -4.8441 -0.2651 -19.4890 -32.2531 25.8906 -12.4550 34.0268 41.8781 -18.6500 5.1632 9.4279 13.3709 6.9584 12.7841 4.3767 2.1301 76.9798 54.2938 -46.6631 2.7373 8.2947
1.6157 22.5210 -47.4860 96.6723 4.2386 -6.2725 -2.4956 -24.1008 -35.1745 32.1960 -27.0873 37.8547 39.0892 -53.3007 4.3912 -19.4060 53.6666 18.8354 -9.1635 -30.7425 5.0758 39.9404 1.7077 -23.5063 -49.3624 0.5285
16.6675 -0.4830 -66.6097 25.9024 12.5539 -11.1700 4.9878 -29.8421 -14.6067 33.8997 -9.8841 28.0126 12.0089 -53.0712 8.9365 -6.7289 49.3984 -24.0654 18.8417 4.9709 4.0424 56.1331 15.1806 -10.5924 -55.5377 0.1374
Final position of particles:
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32.8084 39.4689 105.6271 118.2538 110.4036 112.6666 38.3023 41.3019 113.4584 111.0351 32.6520 31.4318 101.7722 100.6398 52.3722 49.6597 38.4500 28.4487 111.8658 116.0926 124.5124 126.2549 115.6491 127.8955 106.8450 111.4194
39.1650 30.8941 97.3583 116.7064 108.2939 112.6968 36.1820 35.5351 113.8661 109.1760 37.4303 35.0614 97.5740 114.8