Out Nozzle 1 Out Nozzle 1 in 

Mobil Stasiun

in Out

Nozzle 1

in Out Nozzle 1

Kedatangan Motor Keluar

Motor Stasiun

in Out Nozzle 1

Out in Nozzle 1

Langkah 2 penyelesaian :

Gambar 1

1. Rubahlan waktu perhitungan stopwatch dalam satuan waktu menit, waktu yang digunakan adalah 4 digit pertama, 2 digit pertama menunjukkan menit dan 2 digit berikutnya menunjukkan detik. Contohnya pada gambar 1 .

 00:32:17  waktu yang digunakan  00:32  0 menit + 32/60 menit = 0+0,53= 0,53 menit.  01:49:51  waktu yang digunakan  01:49  1 menit + 49/60 menit =1+0,82= 1,82 menit  01:42:34  waktu yang digunakan  01:42  1 menit + 42/60 menit =1+0,7= 1,7 menit

2. Untuk mencari distribusi probabilitas tingkat kedatangan dan layanan digunakan INPUT ANALYZER Kemudian waktu tersebut anda catat pada file notepad dengan format TXT dengan aturan sebagai berikut :

 Untuk data waktu kedatangan mobil ada 2 hari waktu pengamatan masing‐masing dilakukan 4 jam perhari.  Untuk data waktu layanan dilakukan 2 hari waktu pengamatan dengan distribusi ke layanan yang berbeda  Untuk STB ganjil menggunakan waktu kedatangan hari Pertama

 Untuk STB genap mengunakan waktu kedatangan Hari Kedua

Triangular Normal Lognormal Report Square Error

Jenis Beta Uniform Weibull

Gamma Exponential Erlang

Chi Square p

‐value KS p

‐value

Expression

Distribusi yang di tabelkan adalah distribusi Kedatangan Mobil, layanan Mobil, kedatangan Motor dan layanan Motor ( 4 tabel pembanding)

4. Distribusi probabiltas yang digunakan adalah distribusi probabilitas dengan nilai Error terendah.

5. Simulasikan sistem SPBU tersebut diatas dengan menggunakan nilai expression yang anda dapatkan.

6. Gunakan Modul Adserver, lihat contoh program Arena “Antrian check in Bandara.doe”

7. Simulasikan dengan panjang replikasi 7, 14, dan 30 hari.

8. Hitunglah Utilitas sistem pada tiap stasiun Mobil dan Motor, dan berapa jumlah entitas terlayani 7,14,30 hari.

MOBIL Tingkat kedatangan

Waktu kedatangan mobil pada hari pertama diamati selama 4 jam

Waktu layanan mobil pada hari Pertama diamati selama 4 jam Stasiun Bensin 1

Stasiun Bensin 2

Waktu layanan mobil pada hari kedua diamati selama 4 jam Stasiun Bensin 1

Stasiun Bensin 2

81 0:45:34 121 1:35:42 2 0:42:35 42

1 2:26:32 41 0:44:51 81 0:39:55 121

0:47:56

1 0:47:37 41 2:08:15

82 0:33:15 122 0:57:47 3 0:39:14 43

0:40:33 82 0:44:31 122

1:46:35

2 0:57:18 42

0:39:15

83 1:45:38 123 0:42:32 4 0:51:44 44

0:53:27 83 1:46:13 123

0:55:54

3 1:09:09 43

0:43:49

84 0:44:56 124 1:05:28 5 1:22:36 45

0:32:57 84 0:45:39 124

0:57:15

4 0:57:39 44

0:55:17

85 0:56:34 125 0:49:28 6 0:39:15 46

1:26:32 85 0:39:52 125

0:55:32

5 0:45:34 45

0:49:32

86 1:33:16 126 0:50:15 7 0:41:36 47

1:38:25 86 0:45:53 126

0:35:15

6 0:56:29 46

0:59:56

87 0:59:03 127 0:54:29 8 1:19:53 48

0:55:29 87 1:20:25 127

0:39:23

7 1:35:59 47

0:45:43

88 1:00:07 128 0:59:17 9 0:39:31 49

0:40:32 88 1:03:41 128

0:53:53

8 0:40:23 48

1:23:52

89 2:26:27 129 1:33:45 10 0:59:46 50

0:33:35 89 0:53:19 129

1:14:15

9 0:39:45 49

0:37:19

90 0:45:55 130 0:53:29 11 0:54:34 51

1:03:51 90 0:58:55 130

1:00:52

10 0:38:16 50

1:32:23

91 0:40:06 131 0:44:32 12 1:58:13 52

0:35:05 91 1:05:20 131

0:34:32

11 1:58:39 51

0:52:39

92 0:56:18 132 0:59:12 13 0:54:15 53

1:55:48 92 1:04:22 132

0:46:45

12 1:49:23 52

0:44:18

93 0:42:19 133 0:39:19 14 2:10:59 54

0:36:37 93 0:41:47 133

2:16:05

13 0:51:35 53

2:19:29

94 0:44:48 134 0:47:22 15 0:31:56 55

0:45:38 94 0:46:23 134

0:45:54

14 0:39:31 54

0:56:12

95 0:53:12 135 0:46:23 16 0:54:23 56

0:57:24 95 1:27:36 135

0:56:24

15 0:55:47 55

0:48:56

96 1:55:07 136 0:55:17 17 1:14:56 57

0:44:45 96 0:46:56 136

0:35:43

16 1:11:56 56

0:46:16

97 0:56:39 137 1:15:36 18 0:45:31 58

0:40:19 97 0:58:11 137

0:45:56

17 0:56:43 57

1:00:05

98 0:34:55 138 0:59:27 19 0:43:07 59

1:34:13 98 0:58:34 138

1:22:13

18 0:34:49 58

0:53:51

99 0:48:43 139 20 0:59:29 60

0:43:38 99 0:48:53 139

0:34:23

19 0:44:28 59

1:02:35

0:38:54 100 2:31:19 140 21 2:21:52 61

1:21:35 100

1:30:14 140

0:56:31

20 0:54:33 60

0:47:31 101 0:54:56 141 22 0:59:14 62

1:05:11 101

0:53:39 141

0:54:53

21 0:58:13 61

0:56:46 102 0:44:17 142 23 0:47:24 63

0:43:36 102

0:51:33 142

0:56:56

22 0:42:06 62

0:39:56 103 0:45:29 143 24 1:15:07 64

0:57:25 103

1:15:45 143

0:54:15

23 1:00:51 63

0:57:18 104 1:51:32 144 25 0:36:37 65

0:45:17 104

0:47:25 144

24 1:49:09 64

1:09:31 105 0:54:21 145 26 0:54:59 66

0:40:03 105

0:56:37 145

25 0:54:32 65

2:30:19 106 1:01:17 146 27 0:42:26 67

0:45:49 106

0:57:25 146

26 0:58:29 66

0:43:01 107 0:45:07 147 28 1:39:38 68

1:04:06 107

1:02:32 147

27 0:33:01 67

0:37:23 108 1:00:29 148 29 0:46:57 69

0:25:34 108

1:31:33 148

28 1:20:15 68

0:51:13 109 0:35:17 149 30 1:38:36 70

0:49:15 109

0:54:54 149

29 0:52:29 69

0:53:32 110 0:42:21 150 31 0:48:46 71

1:58:54 110

0:47:35 150

30 0:38:07 70

1:55:28 111 1:49:19 151 32 1:28:54 72

0:41:54 111

1:23:38 151

31 0:39:29 71

0:49:15 112 1:36:22 152 33 0:36:03 73

0:54:06 112

0:56:15 152

32 0:52:19 72

0:44:46 113 0:52:32 153 34 1:20:45 74

0:35:55 113

0:36:07 153

33 1:38:32 73

0:39:23 114 0:38:18 154 35 0:45:55 75

1:02:36 114

1:05:38 154

34 0:47:27 74

1:00:16 115 0:44:06 155 36 2:28:25 76

0:59:06 115

0:52:28 155

35 2:01:31 75

0:54:29 116 0:50:28 156 37 0:56:59 77

0:46:15 116

0:48:41 156

36 0:53:58 76

0:55:09 117 1:53:56 157 38 0:47:35 78

0:33:13 117

0:51:08 157

37 1:49:16 77

0:49:34 118 0:40:19 158 39 2:35:24 79

0:49:25 118

2:20:27 158

38 0:38:19 78

0:51:27 119 0:45:21 159 40 0:43:22 80

0:25:44 119

0:44:04 159

39 0:58:32 79

0:30:14 120

0:49:49 160

40 0:47:16 80

1:44:19 120 0:56:43 160

Waktu kedatangan Motor pada hari Pertama diamati selama 4 jam

321 0:01:07 361 0:03:21 401 0:06:16 441 0:02:34 481 0:13:22 521 0:01:36 561 0:03:13 601 0:05:53 322 0:12:57 362 0:05:54 402 0:09:36 442 0:47:12 482 0:24:12 522 0:01:22 562 0:01:13 602 0:00:14 323 0:17:15 363 0:00:07 403 0:01:55 443 0:17:38 483 1:02:56 523 0:18:33 563 0:14:59 603 0:12:41 324 0:18:41 364 0:29:32 404 0:04:25 444 0:34:16 484 0:19:33 524 0:09:43 564 0:01:23 604 0:00:32 325 0:06:08 365 0:13:29 405 0:12:05 445 0:43:23 485 0:14:29 525 0:15:29 565 0:11:32 605 0:12:38 326 1:53:11 366 0:28:07 406 0:04:29 446 0:58:34 486 0:26:07 526 0:00:42 566 0:01:34 606 0:01:21 327 0:00:55 367 0:07:19 407 0:01:36 447 0:14:12 487 0:17:19 527 0:04:12 567 0:39:15 607 0:40:15 328 0:00:58 368 0:20:15 408 0:12:31 448 0:12:23 488 0:10:11 528 0:04:24 568 0:51:12 608 0:51:46 329 0:01:17 369 0:06:03 409 0:12:05 449 0:41:21 489 0:05:34 529 0:01:21 569 0:04:02 609 0:03:02 330 0:09:24 370 0:04:26 410 0:07:18 450 0:14:23 490 0:03:29 530 0:07:01 570 0:13:13 610 0:14:16 331 0:01:08 371 0:21:17 411 0:00:09 451 0:32:16 491 0:19:47 531 0:05:34 571 0:36:34 611 0:47:47 332 0:50:02 372 0:36:05 412 0:07:32 452 0:00:49 492 0:34:05 532 0:03:43 572 0:02:33 612 0:01:33 333 0:31:28 373 0:10:14 413 0:23:21 453 0:01:28 493 0:11:14 533 0:17:21 573 0:23:32 613 0:22:36 334 0:17:32 374 0:37:37 414 0:03:28 454 0:05:06 494 0:35:07 534 0:12:32 574 0:11:13 614 0:10:55 335 0:26:47 375 0:25:08 415 0:15:19 455 0:00:32 495 0:34:18 535 0:30:22 575 0:52:22 615 0:46:27 336 0:17:27 376 0:16:13 416 0:31:09 456 0:03:23 496 0:05:03 536 0:01:26 576 0:01:34 616 0:14:37 337 0:02:35 377 0:39:18 417 0:25:28 457 0:02:11 497 0:37:23 537 0:21:54 577 0:10:45 617 0:11:17 338 0:12:38 378 0:32:55 418 0:05:11 458 0:15:37 498 0:30:05 538 0:03:24 578 0:04:11 618 0:13:35 339 0:14:35 379 0:08:39 419 0:01:14 459 0:14:51 499 0:10:39 539 0:16:34 579 0:25:53 619 0:37:03 340 0:03:01 380 0:23:05 420 0:02:39 460 0:24:29 500 0:13:02 540 0:33:17 580 0:49:39 620 0:29:18 341 0:01:09 381 0:02:05 421 0:12:29 461 0:07:22 501 0:03:01 541 0:01:11 581 0:03:35 621 1:01:29 342 0:05:26 382 0:01:12 422 0:17:19 462 0:14:57 502 0:01:11 542 0:10:14 582 0:22:32 622 0:29:21 343 0:17:59 383 0:29:49 423 0:01:23 463 0:01:17 503 0:25:49 543 0:27:01 583 0:06:12 623 0:02:18 344 0:20:03 384 0:01:04 424 0:31:46 464 0:22:28 504 0:01:24 544 0:58:23 584 0:38:13 624 0:50:48 345 0:03:25 385 0:35:58 425 0:45:24 465 0:01:42 505 0:25:28 545 0:28:42 585 0:17:08 625 0:22:08 346 0:01:12 386 0:31:37 426 0:23:25 466 0:13:02 506 0:29:37 546 0:01:35 586 0:13:01 626 0:05:58 347 0:33:12 387 0:10:04 427 0:55:01 467 0:06:05 507 0:11:04 547 0:02:03 587 0:01:45 627 0:02:23 348 1:28:18 388 0:34:29 428 0:01:25 468 0:01:11 508 0:33:02 548 0:39:22 588 0:47:39 628 0:55:14 349 0:01:01 389 0:05:04 429 0:00:38 469 0:13:13 509 0:05:04 549 0:12:06 589 0:04:52 629 0:04:07 350 0:05:12 390 0:25:25 430 1:42:43 470 0:42:24 510 0:26:27 550 0:00:54 590 0:03:25 630 0:02:26 351 0:12:02 391 0:06:36 431 0:01:17 471 0:05:26 511 0:06:38 551 0:01:01 591 0:11:01 631 0:19:21 352 0:01:11 392 0:16:22 432 0:16:59 472 0:04:12 512 0:16:21 552 0:01:58 592 0:01:34 632 0:00:08 353 0:09:07 393 0:14:09 433 0:00:04 473 0:01:07 513 0:15:13 553 0:12:12 593 0:24:33 633 0:19:21 354 0:08:59 394 0:01:32 434 0:01:48 474 0:01:02 514 0:00:55 554 0:03:56 594 0:25:17 634 0:41:23 355 0:34:13 395 0:18:26 435 0:15:12 475 0:22:31 515 0:17:27 555 0:05:06 595 0:01:12 635 0:00:51 356 0:26:13 396 1:08:33 436 0:04:51 476 0:20:59 516 0:11:56 556 0:55:01 596 0:36:09 636 0:34:21 357 0:03:35 397 0:08:52 437 0:16:38 477 0:17:03 517 0:09:07 557 0:37:26 597 0:26:29 637 0:13:32 358 0:02:17 398 0:09:54 438 0:06:11 478 0:09:33 518 0:09:25 558 0:04:03 598 0:22:57 638 0:54:07 359 0:05:16 399 0:12:14 439 0:02:04 479 0:01:02 519 0:13:14 559 0:13:28 599 0:35:32 639 0:15:12 360 0:03:05 400 0:12:24 440 0:06:21 480 0:14:56 520 0:14:19 560 0:08:29 600 0:05:45 640 0:18:13

1 0:35:57 41

0:30:08 81 0:34:32 121

0:20:21 161

0:27:22 201

0:23:25 241 0:20:24

2 0:28:32 42

0:22:21 82 0:34:24 122

0:27:14 162

0:36:28 202

0:49:14 242 0:34:06

3 0:31:33 43

0:59:16 83 0:32:15 123

0:30:37 163

0:30:53 203

0:25:37 243 0:23:22

4 0:33:06 44

0:27:18 84 0:31:51 124

0:39:25 164

0:38:03 204

0:30:06 244 0:27:53

5 0:30:02 45

0:43:33 85 0:27:17 125

0:23:22 165

0:44:26 205

0:23:23 245

6 0:53:13 46

0:40:16 86 0:32:14 126

0:39:52 166

0:21:25 206

0:57:12 246

7 0:26:22 47

0:24:22 87 0:21:31 127

0:24:53 167

0:22:14 207

0:26:04 247

8 0:37:27 48

0:26:57 88 0:33:05 128

0:24:05 168

0:26:13 208

0:39:02 248

9 0:32:24 49

0:35:24 89 0:27:04 129

0:24:16 169

0:33:41 209

0:20:08 249

10 0:50:26 50

0:37:22 90 1:00:19 130

0:49:17 170

0:33:25 210

0:44:19 250

11 0:30:35 51

0:41:38 91 0:28:22 131

0:32:25 171

0:30:46 211

0:31:48 251

12 0:38:02 52

0:38:51 92 0:35:08 132

0:34:23 172

0:32:04 212

0:25:42 252

13 0:43:12 53

0:34:04 93 0:26:16 133

0:26:22 173

0:33:23 213

0:35:18 253

14 0:42:44 54

0:28:57 94 0:30:02 134

0:39:22 174

0:27:18 214

0:31:57 254

15 0:41:42 55

0:42:35 95 0:19:55 135

0:25:33 175

0:38:53 215

0:30:43 255

16 0:32:01 56

0:29:02 96 0:32:27 136

0:20:04 176

0:32:15 216

0:28:44 256

17 0:23:04 57

0:30:02 97 0:22:22 137

0:34:13 177

0:38:31 217

0:31:45 257

18 0:26:06 58

1:16:33 98 0:27:42 138

0:24:36 178

0:53:46 218

0:29:33 258

19 0:39:17 59

0:30:01 99 0:27:01 139

0:26:15 179

0:31:03 219

0:32:15 259

20 0:18:15 60 0:32:12 100

0:30:19 140

1:10:37 180

0:28:37 220

0:32:42 260

21 0:35:28 61 0:33:03 101

0:31:32 141

0:31:35 181

0:23:55 221

0:40:07 261

22 0:29:22 62 0:29:56 102

0:30:06 142

0:30:12 182

0:33:57 222

0:33:48 262

23 0:39:13 63 0:19:25 103

0:33:28 143

1:04:26 183

0:26:32 223

0:23:37 263

24 0:27:35 64 0:34:44 104

0:27:14 144

0:30:07 184

1:02:51 224

0:58:47 264

25 0:30:57 65 0:35:04 105

0:23:36 145

0:34:22 185

0:30:54 225

0:35:22 265

26 0:34:42 66 0:30:53 106

0:27:34 146

0:20:33 186

0:20:42 226

0:24:56 266

27 0:40:24 67 0:17:42 107

0:32:13 147

0:39:42 187

0:26:24 227

0:37:28 267

28 0:30:22 68 0:22:04 108

0:39:46 148

0:47:27 188

0:24:51 228

1:01:37 268

29 0:32:33 69 0:33:01 109

0:44:04 149

0:31:53 189

0:29:03 229

0:24:35 269

30 0:28:23 70 0:35:05 110

0:32:14 150

0:20:33 190

0:36:14 230

0:40:23 270

31 0:35:37 71 0:32:07 111

0:41:53 151

0:27:24 191

0:27:24 231

0:32:41 271

32 0:43:11 72 0:38:14 112

0:23:18 152

0:29:33 192

0:19:11 232

0:16:02 272

33 0:23:34 73 0:30:31 113

0:41:13 153

0:40:27 193

0:31:02 233

0:22:14 273

34 0:20:16 74 0:26:16 114

0:47:04 154

0:32:05 194

0:22:46 234

0:22:57 274

35 0:30:29 75 0:17:07 115

0:31:52 155

0:40:27 195

0:48:12 235

0:34:05 275

36 0:30:08 76 0:40:22 116

0:41:25 156

0:16:02 196

0:35:28 236

0:58:14 276

37 0:37:43 77 0:30:38 117

0:36:37 157

0:21:55 197

0:49:15 237

0:40:42 277

38 0:39:12 78 0:26:21 118

0:25:35 158

0:27:24 198

0:31:14 238

0:31:12 278

39 0:25:31 79 0:31:04 119

0:53:16 159

0:31:46 199

0:22:02 239

0:29:06 279

40 0:29:52 80 0:30:29 120

1:05:25 160

0:35:45 200

0:30:35 240

0:37:33 280