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The 25x25 table you see on the "Solution Space' tab in the 'Final Project Data.xlsx' file is the data you are going to use in the flee jump problem. This problem is your Final Project, which will be count as your Final Exam. Accordingly, there is a flee in M13. Each cell has a different temperature in terms of Kelvin. The flee wants to find the lowest temperature as possible and stay there. For that purpose, the flee will start jumping from M13 according to a certain rule, which we call an algorithm. We solved a similar problem in this course below. The only difference is that, there are 25 x 25 = 625 cells now instead of 64. Final Project is composed of the sections. These are: Y 1 2 3 4 5 6 7 8 9 10 11 12 13 1) Apply either one of 'simulated annealing' or 'tabu search' algorithms to this problem manually. In other words, do the calculations on a paper, or on a word document, or on an excel document (or any document) by writing (and performing) the calculations yourself. Please consider these in your project: a. Use 100 random numbers given to you in the excel file in order (left to right or up to down). If you consume all 100 numbers, restart using them again from the beginning. b. Use this numbers whether in choosing a random neighbor, or deciding to jump to a worse cell randomly, or anytime you need. C. Make 20 jumps like this manually. Show all your calculations for each jump. (For the initial jumps, give more detail. Later, you can skip details and report your jumps briefly.) d. Report the best temperature you have found through your 20 jumps. e. The best number you find will be considered in grading. 2) Solve the same problem with writing code in MATLAB. You are expected to use a different method than in Section - 1. For example, if you used simulated annealing previously, use tabu search in this section (and vice versa). Try to find a good solution. By doing this consider the following: a. Your MATLAB code should not be identical to any one of your friends code. b. You can use the codes in our lecture as a blueprint, however, please make sure there is something different in your code; meaning that you write a piece of code on your own. C. Submit your MATLAB code in your project file (or submit as a different matlab file). d. Arrange your code so that the flea jumps only 250 times. After 250 jumps, the code should terminate. e. Report the best solution you found in these 250 jumps. f. Write "rng(0);" to be executed at the beginning of your code once, so that, your code will produce the same random numbers when we run the code multiple times. "rng(seed)" function sets a number as the seed of random number generator. If you don't use this code, your algorithm will give different results at each time you execute it, because it will generate different random numbers. However, if you set the same seed at the beginning, it will give the same results. This is important for me to check your code, and compare the results of different students. g. The best solution you find will be taken into account when grading your project. B D E G H I J K L . N o Po R s T U V W 609 163 260 70 757541 368 708 317 781 824 679 150 393 560 727 618 499 267 370 514 736 472 312 139 427 216 663 573 510274 428 851 237 576702 201 722 494 312 162 128 211 806 704 74 415 349 366 294 59 273 342 595 272 660 398 487 746 763 232 314 685 95 455 475 577 842 316 447 451 58 45 699 438 745 759 329 745 690289 391 229 749 352 87 359 817 264 834208 442 278 604 429798 216 113 364 117 527 748 640 391 106 842 325 801 756 435315 331 617 221 327 578 808 415 275 137292 232 755 196 408 372 569 209 409 220915 445 205 472 675 222 767 896 230 661 751 637 603 586 218418 613 344 318 737 134 166 536 171 497420 258 650 423 619 632 681 883 773 442 678 893 305 803 310785 610 293 532 478 249 695 430 284 632904 327 659 536 364 241 777 577 440 596275 759 310 734 545 606 616 217 688 583 806 847 801 430 636 440 896 410 534 531 281 496 463 842 384 297 405 619 503 618 823 413 209 385 547 851 128 602 749 156859 334 706 480 447569 794 680 717 365940 457 573 513 619133 772 325 370 697 452 525 373 365 210 209 215 155 554 178211 257 217 130 699 416 406 669 440 849 329 212 327 287 153 848 440 791 548 834 762 344 786 490 153 507 402 780 775 852881 329 258 465 479267 327 114 383 320 525 754 753 707 129 198 562 858 416 667 456 234 255 547 184 156 519 207 630 534 64 791 437 530 756 240 168 501 456 675 203 606 612 411 841853 766 456 466 467601 776 351 436 818 648 373 486 734 501 321 85 765 530 772199 804 656 160 767 538 187 757 354 760880 413 859 467 466 751 600 328 399 303 347 520 139 435 128 487 296 735 429 501 740 169 288 711 642 781 868 703 783 665 514 271 625 562 294 232 550 267 205 442 624 704 939 805 754 812 773 683 204 565619 284 531 915 635 788 523 517 727 165 382 360 765 190 317708 533 380 911 490 551 557 742 889 577241 383 798 635 678 830 725 388 496 545 605 800 306 226 744275 791 391 347 274 434 483 526 316 678 304 543 353 579 591409 776 799 854 251 440 715 217 574 238 219 411 895 609 259 519 407 656 544 776 217 353 376 412 99 157 377 485 698 460 561 355 668 54 262 172 362 503 553 472 245 371 522 376 774 670 269 404 604 709 379 341 715 742 289 268 689 537 528 54 181 643 717 656 672 99 591 332 286 343471 577 211 365 829 148 558 774 93 334 602 600 4 134 589 164 202 390 780 735 354 251 276 89 540243 599 243 582 578 246 130 470 240 559 358 172 78 90 132 145 175 327 870 153 741 573 818 236 249 793 127 688 829 640 687 231 422 29 116 495 161 211 462 436 423 310 677 646 668 445 117 738 262 172 234 538 741 793 433 229 649 52 590 80 14 15 16 17 18 19 20 21 22 23 24 25 . D F G H I K 0.6313 0.8872 0.393 0.7325 0.3654 0.8473 0.0509 0.7256 1 2 3 4 5 6 7 8 0.9929 0.4903 0.5944 0.943 0.3786 0.3413 0.8201 0.0981 0.9731 0.6668 0.2999 0.597 0.604 0.8835 0.0583 0.9413 0.5186 0.0033 0.9742 0.684 0.8006 0.6754 0.7224 0.9086 0.6521 0.3381 0.2663 0.033 0.1459 0.7125 0.4417 0.7205 0.2443 0.3868 0.0808 0.2666 0.6749 0.8129 0.6988 0.2321 0.5124 0.5767 0.3278 0.2367 0.8062 0.7328 0.0384 0.955 0.5609 0.8516 0.5888 0.118 0.3808 0.0341 0.3366 0.0026 0.6159 0.3419 0.7451 0.616 0.0043 0.9348 0.4307 0.2838 0.8874 0.1797 0.4534 0.6845 0.5356 0.2194 0.3179 0.6943 0.882 0.7138 0.0881 0.3412 0.8574 0.4287 0.6955 0.613 0.3506 0.164 0.744 0.484 0.6195 0.1659 9 10 11 0.2258 0.6439 0.4499 0.1764 0.5895 0.5462 The 25x25 table you see on the "Solution Space' tab in the 'Final Project Data.xlsx' file is the data you are going to use in the flee jump problem. This problem is your Final Project, which will be count as your Final Exam. Accordingly, there is a flee in M13. Each cell has a different temperature in terms of Kelvin. The flee wants to find the lowest temperature as possible and stay there. For that purpose, the flee will start jumping from M13 according to a certain rule, which we call an algorithm. We solved a similar problem in this course below. The only difference is that, there are 25 x 25 = 625 cells now instead of 64. Final Project is composed of the sections. These are: Y 1 2 3 4 5 6 7 8 9 10 11 12 13 1) Apply either one of 'simulated annealing' or 'tabu search' algorithms to this problem manually. In other words, do the calculations on a paper, or on a word document, or on an excel document (or any document) by writing (and performing) the calculations yourself. Please consider these in your project: a. Use 100 random numbers given to you in the excel file in order (left to right or up to down). If you consume all 100 numbers, restart using them again from the beginning. b. Use this numbers whether in choosing a random neighbor, or deciding to jump to a worse cell randomly, or anytime you need. C. Make 20 jumps like this manually. Show all your calculations for each jump. (For the initial jumps, give more detail. Later, you can skip details and report your jumps briefly.) d. Report the best temperature you have found through your 20 jumps. e. The best number you find will be considered in grading. 2) Solve the same problem with writing code in MATLAB. You are expected to use a different method than in Section - 1. For example, if you used simulated annealing previously, use tabu search in this section (and vice versa). Try to find a good solution. By doing this consider the following: a. Your MATLAB code should not be identical to any one of your friends code. b. You can use the codes in our lecture as a blueprint, however, please make sure there is something different in your code; meaning that you write a piece of code on your own. C. Submit your MATLAB code in your project file (or submit as a different matlab file). d. Arrange your code so that the flea jumps only 250 times. After 250 jumps, the code should terminate. e. Report the best solution you found in these 250 jumps. f. Write "rng(0);" to be executed at the beginning of your code once, so that, your code will produce the same random numbers when we run the code multiple times. "rng(seed)" function sets a number as the seed of random number generator. If you don't use this code, your algorithm will give different results at each time you execute it, because it will generate different random numbers. However, if you set the same seed at the beginning, it will give the same results. This is important for me to check your code, and compare the results of different students. g. The best solution you find will be taken into account when grading your project. B D E G H I J K L . N o Po R s T U V W 609 163 260 70 757541 368 708 317 781 824 679 150 393 560 727 618 499 267 370 514 736 472 312 139 427 216 663 573 510274 428 851 237 576702 201 722 494 312 162 128 211 806 704 74 415 349 366 294 59 273 342 595 272 660 398 487 746 763 232 314 685 95 455 475 577 842 316 447 451 58 45 699 438 745 759 329 745 690289 391 229 749 352 87 359 817 264 834208 442 278 604 429798 216 113 364 117 527 748 640 391 106 842 325 801 756 435315 331 617 221 327 578 808 415 275 137292 232 755 196 408 372 569 209 409 220915 445 205 472 675 222 767 896 230 661 751 637 603 586 218418 613 344 318 737 134 166 536 171 497420 258 650 423 619 632 681 883 773 442 678 893 305 803 310785 610 293 532 478 249 695 430 284 632904 327 659 536 364 241 777 577 440 596275 759 310 734 545 606 616 217 688 583 806 847 801 430 636 440 896 410 534 531 281 496 463 842 384 297 405 619 503 618 823 413 209 385 547 851 128 602 749 156859 334 706 480 447569 794 680 717 365940 457 573 513 619133 772 325 370 697 452 525 373 365 210 209 215 155 554 178211 257 217 130 699 416 406 669 440 849 329 212 327 287 153 848 440 791 548 834 762 344 786 490 153 507 402 780 775 852881 329 258 465 479267 327 114 383 320 525 754 753 707 129 198 562 858 416 667 456 234 255 547 184 156 519 207 630 534 64 791 437 530 756 240 168 501 456 675 203 606 612 411 841853 766 456 466 467601 776 351 436 818 648 373 486 734 501 321 85 765 530 772199 804 656 160 767 538 187 757 354 760880 413 859 467 466 751 600 328 399 303 347 520 139 435 128 487 296 735 429 501 740 169 288 711 642 781 868 703 783 665 514 271 625 562 294 232 550 267 205 442 624 704 939 805 754 812 773 683 204 565619 284 531 915 635 788 523 517 727 165 382 360 765 190 317708 533 380 911 490 551 557 742 889 577241 383 798 635 678 830 725 388 496 545 605 800 306 226 744275 791 391 347 274 434 483 526 316 678 304 543 353 579 591409 776 799 854 251 440 715 217 574 238 219 411 895 609 259 519 407 656 544 776 217 353 376 412 99 157 377 485 698 460 561 355 668 54 262 172 362 503 553 472 245 371 522 376 774 670 269 404 604 709 379 341 715 742 289 268 689 537 528 54 181 643 717 656 672 99 591 332 286 343471 577 211 365 829 148 558 774 93 334 602 600 4 134 589 164 202 390 780 735 354 251 276 89 540243 599 243 582 578 246 130 470 240 559 358 172 78 90 132 145 175 327 870 153 741 573 818 236 249 793 127 688 829 640 687 231 422 29 116 495 161 211 462 436 423 310 677 646 668 445 117 738 262 172 234 538 741 793 433 229 649 52 590 80 14 15 16 17 18 19 20 21 22 23 24 25 . D F G H I K 0.6313 0.8872 0.393 0.7325 0.3654 0.8473 0.0509 0.7256 1 2 3 4 5 6 7 8 0.9929 0.4903 0.5944 0.943 0.3786 0.3413 0.8201 0.0981 0.9731 0.6668 0.2999 0.597 0.604 0.8835 0.0583 0.9413 0.5186 0.0033 0.9742 0.684 0.8006 0.6754 0.7224 0.9086 0.6521 0.3381 0.2663 0.033 0.1459 0.7125 0.4417 0.7205 0.2443 0.3868 0.0808 0.2666 0.6749 0.8129 0.6988 0.2321 0.5124 0.5767 0.3278 0.2367 0.8062 0.7328 0.0384 0.955 0.5609 0.8516 0.5888 0.118 0.3808 0.0341 0.3366 0.0026 0.6159 0.3419 0.7451 0.616 0.0043 0.9348 0.4307 0.2838 0.8874 0.1797 0.4534 0.6845 0.5356 0.2194 0.3179 0.6943 0.882 0.7138 0.0881 0.3412 0.8574 0.4287 0.6955 0.613 0.3506 0.164 0.744 0.484 0.6195 0.1659 9 10 11 0.2258 0.6439 0.4499 0.1764 0.5895 0.5462