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Tujuan Minimasi biaya dalam mengatur inventory Variabel 1 Permintaan Ace Drill Variabel 2 Pemesanan Barang Inventory cost = ordering, holding, reordering ACE DRILL DEMAND Selama 300 hari ke belakang CUM PROB DEMAND 0 15 0.05 0 0.05 0 1 30 0.1 0.05 0.15 1 2 60 0.2 0.15 0.35 2 3 120 0.4 0.35 0.75 3 4 45 0.15 0.75 0.9 4 5 30 0.1 0.9 1 5 300 HISTORY 50 HARI PEMESANAN LEAD TIME LEAD TIME CUM PROBLEAD TIME 1 10 0.2 0 0.2 1 2 25 0.5 0.2 0.7 2 3 15 0.3 0.7 1 3 50 RANDOM NUMBER 0.90217506 0.60326 0.362545 0.69589718 0.209093 0.657889 0.7684796 0.855033 0.756188 0.32404453 0.203508 0.808972 0.62253368 0.241244 0.416072 0.95341315 0.348298 0.897228 0.63838565 0.702049 0.289305 0.43197377 0.357271 0.243945 0.1740449 0.81743 0.844375 0.37740753 0.309103 0.288625 0.91904209 0.926717 0.61742379 0.213478 0.01709547 0.243692 0.50737624 0.859223 0.95342393 0.853809 DEMAND FOR ACE DRILL FREQUENC Y PROBABIL ITY LOWER PROB FREQUENC Y PROBABIL ITY LOWER PROB

Simulasi Monte Carlo

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Page 1: Simulasi Monte Carlo

Tujuan Minimasi biaya dalam mengatur inventoryVariabel 1 Permintaan Ace DrillVariabel 2 Pemesanan BarangInventory cost = ordering, holding, reordering PERCOBAAN 10 HARI

Stok inventory awal 10 unitACE DRILL DEMAND asumsi order drill dilakukan ketika drill tinggal 5 unitSelama 300 hari ke belakang setiap order menghasilkan 10 unit

DEMAND DAY

0 15 0.05 0 0.05 0 11 30 0.1 0.05 0.15 1 22 60 0.2 0.15 0.35 2 33 120 0.4 0.35 0.75 3 44 45 0.15 0.75 0.9 4 5 105 30 0.1 0.9 1 5 6

300 7HISTORY 50 HARI PEMESANAN 8LEAD TIME 9

LEAD TIME LEAD TIME 10 10

1 10 0.2 0 0.2 12 25 0.5 0.2 0.7 2 DIKETAHUI3 15 0.3 0.7 1 3 BIAYA PEMESANAN = $10/PEMESANAN

50 BIAYA SIMPAN = $0.03/UNIT/DAYBIAYA KEHABISAN STOK = $8TOTAL BIAYA INVENTORY

RANDOM NUMBER0.49934316 0.60326 0.3625450.54039644 0.209093 0.6578890.35429525 0.855033 0.7561880.13651746 0.203508 0.8089720.94047246 0.241244 0.4160720.95358878 0.348298 0.8972280.97797672 0.702049 0.2893050.26002363 0.357271 0.2439450.49615397 0.81743 0.844375

0.5420849 0.309103 0.2886250.24180418 0.9267170.71995046 0.2134780.33486738 0.2436920.31596219 0.8592230.34811561 0.853809

DEMAND FOR ACE

DRILLFREQUEN

CYPROBABIL

ITY LOWER PROB

CUM PROB

UNIT RECEIVED

FREQUENCY

PROBABILITY

LOWER PROB

CUM PROB

Page 2: Simulasi Monte Carlo

PERCOBAAN 10 HARIStok inventory awal 10 unitorder drill dilakukan ketika drill tinggal 5 unitsetiap order menghasilkan 10 unit

DEMAND ORDER

10 0.60326 3 7 0 NO7 0.209093 2 5 0 YES 0.362545 25 0.855033 4 1 0 NO1 0.203508 2 0 1 NO

10 0.241244 2 8 0 NO8 0.348298 2 6 0 NO6 0.702049 3 3 0 YES 0.657889 23 0.357271 3 0 0 NO0 0.81743 4 0 4 NO

10 0.309103 2 8 0 NO

AVERAGE 3.8 0.5 0.2DIKETAHUIBIAYA PEMESANAN = $10/PEMESANAN 2BIAYA SIMPAN = $0.03/UNIT/DAY 0.114BIAYA KEHABISAN STOK = $8 4TOTAL BIAYA INVENTORY 6.114

BEGINNING INVENTORY

RANDOM NUMBER

ENDING INVENTORY

LOST SALE

RANDOM NUMBER

LEAD TIME

Page 3: Simulasi Monte Carlo

Tujuan evaluasi DELAY COST, IDLE COST, LABOR COST, (PERLU TAMBAHPERCOBAAN 15 HARIVariabel 1 ARRIVAL RATEVariabel 2 SERVICE RATE asumsidi hari pertama tidak ada delaytotal expected cost = waiting cost + service cost

ARRIVAL RATES

DEMAND DAY ARRIVAL

0 0.13 0 0.13 0 1 0 0.637102 31 0.17 0.13 0.3 1 2 0 0.802764 42 0.15 0.3 0.45 2 3 2 0.361376 23 0.25 0.45 0.7 3 4 1 0.144254 14 0.2 0.7 0.9 4 5 0 0.869963 45 0.1 0.9 1 5 6 1 0.591417 3

7 1 0.772293 4SERVICE RATE 8 0 0.216433 1

90

0.826381 41 0.05 0 0.05 1 10 0 0.379267 22 0.15 0.05 0.2 2 11 2 0.74815 43 0.5 0.2 0.7 3 12 4 0.1624 14 0.2 0.7 0.9 4 13 1 0.165075 15 0.1 0.9 1 5 14 0 0.774512 4

15 1 0.160719 1AVERAGE 0.866667 2.6

DELAY COST LAMDARANDOM NUMBER WAITING COST0.080321 0.881773 0.637102 0.552656 JAM KERJA X LAMDA X Wq X COST0.132044 0.546779 0.802764 0.142623 SERVICE COST

0.77792 0.92684 0.361376 0.590218 JAM KERJA X JUMLAH SERVER X COST0.192348 0.322299 0.144254 0.1379830.978935 0.901825 0.869963 0.470637 TOTAL COST = WAITING COST + SERVICE COST0.877698 0.45023 0.591417 0.2293640.264188 0.607036 0.772293 0.9007210.747728 0.497647 0.216433 0.0690180.066129 0.233708 0.826381 0.7714210.059857 0.281495 0.379267 0.7295910.090175 0.730843 0.74815 0.1509830.050939 0.816152 0.1624 0.8964450.055247 0.508334 0.165075 0.7203580.659399 0.781036 0.774512 0.3916360.096281 0.196934 0.160719 0.77093

NUMBER OF

ARRIVALPROBABIL

ITY LOWER PROB

CUM PROB

PREVIOUSLY DELAY

RANDOM NUMBER

DAILY UNLOADING RATE

PROBABILITY

LOWER PROB

CUM PROB

UNLOADING

Page 4: Simulasi Monte Carlo

3 0.552656 34 0.142623 24 0.590218 32 0.137983 24 0.470637 34 0.229364 35 0.900721 51 0.069018 2

4 0.771421 42 0.729591 46 0.150983 25 0.896445 42 0.720358 44 0.391636 32 0.77093 4

3.2MIU

TOTAL TO BE

UNLOADED

RANDOM NUMBER

NUMBER UNLOADE

D

Page 5: Simulasi Monte Carlo

Tujuan evaluasi BIAYA PERBAIKAN DAN BIAYA PEGAWAI (PERLU NAMBAH ATAU TIDAK)Variabel 1 kerusakan mesinVariabel 2 perbaikan mesin

KERUSAKAN MESIN ASUMSI SIMULASI MULAI PADA JAM 0:00Selama 100 hari ke belakang

DEMAND

0.5 5 0.05 0 0.05 0.5 1 0.6693791 6 0.06 0.05 0.11 1 2 0.579264

1.5 16 0.16 0.11 0.27 1.5 3 0.8166672 33 0.33 0.27 0.6 2 4 0.862039

2.5 21 0.21 0.6 0.81 2.5 5 0.5376173 19 0.19 0.81 1 3 6 0.734955

100 7 0.530438 0.859114

Selama 100 hari ke belakang 9 0.537039WAKTU PERBAIKAN 10 0.981195

WAKTU PERBAIKAN PERBAIKAN 11 0.75523

1 28 0.28 0 0.28 1 12 0.3266682 52 0.52 0.28 0.8 2 13 0.5096323 20 0.2 0.8 1 3 14 0.834067

100 15 0.16493

DUA HARI MULAI PUKUL 00:00 BERAKHIR PULUK 15:30 = 39.5 JAMBIAYA MAINTENANCE $30/JAM

0.850149 0.491604 0.669379 0.612992 BIAYA KERUSAKAN $75/JAM0.098215 0.484755 0.579264 0.815624 TOTAL COST

0.33982 0.144113 0.816667 0.2183950.656337 0.181854 0.862039 0.0727660.038371 0.815144 0.537617 0.609501

0.93734 0.545785 0.734955 0.1177740.718935 0.778008 0.53043 0.4458950.181151 0.551988 0.859114 0.7107040.170324 0.989135 0.537039 0.7966960.543697 0.36131 0.981195 0.1266130.939774 0.866466 0.75523 0.7397520.459669 0.192136 0.326668 0.5324910.871619 0.820997 0.509632 0.361710.844439 0.317826 0.834067 0.941320.899776 0.854215 0.16493 0.7022360.066151 0.0070640.574537 0.9451880.376892 0.866299

0.17134 0.222978

LAMA KERUSAKAN (JAM)

FREQUENCY

PROBABILITY

LOWER PROB

CUM PROB

JUMLAH KERUSAK

ANRANDOM NUMBER

FREQUENCY

PROBABILITY

LOWER PROB

CUM PROB

Page 6: Simulasi Monte Carlo

SIMULASI MULAI PADA JAM 0:00

2.5 2:30 2:30 0.612992 2 4:30 22 4:30 4:30 0.815624 3 7:30 33 7:30 7:30 0.218395 1 8:30 13 10:30 10:30 0.072766 1 11:30 12 12:30 12:30 0.609501 2 14:30 2

2.5 15:00 15:00 0.117774 1 16:00 12 17:00 17:00 0.445895 2 19:00 23 20:00 20:00 0.710704 2 22:00 22 22:00 22:00 0.796696 2 0:00 23 1:00 1:00 0.126613 1 2:00 1

2.5 3:30 3:30 0.739752 2 5:30 2

2 5:30 5:30 0.532491 2 7:30 22 7:30 7:30 0.36171 2 9:30 23 10:30 10:30 0.94132 3 13:30 3

1.5 12:00 13:30 0.702236 2 15:30 3.529.5

DUA HARI MULAI PUKUL 00:00 BERAKHIR PULUK 15:30 = 39.5 JAMBIAYA MAINTENANCE $30/JAM 1185BIAYA KERUSAKAN $75/JAM 2212.5

3397.5

LAMA KERUSAK

AN

WAKTU KERUSAK

AN

WAKTU BEBAS MULAI

PERBAIKAN

RANDOM NUMBER

LAMA PERBAIKA

N DIBUTUH

KAN

WAKTU SELESAI

PERBAIKAN

LAMA MESIN MATI

Page 7: Simulasi Monte Carlo

DEMAND WEEK SUPPLY

4 6 0.12 0 0.12 4 1 8 0.15 5 0.1 0.12 0.22 5 2 8 0.246 9 0.18 0.22 0.4 6 3 8 0.037 12 0.24 0.4 0.64 7 4 8 0.328 8 0.16 0.64 0.8 8 5 8 0.239 7 0.14 0.8 0.94 9 6 8 0.59

10 3 0.06 0.94 1 10 7 8 0.9550 8 8 0.34

EXPECTED VALUE 9 8 0.346.88 10 8 0.51

11 8 0.0812 8 0.4813 8 0.6614 8 0.9715 8 0.0316 8 0.9617 8 0.4618 8 0.7419 8 0.7720 8 0.44

HEATER SALES

FREQUENCY

PROBABILTY

LOWER PROB

CUMMULATIVE PROB

RANDOM NUMBER DEMAND

Page 8: Simulasi Monte Carlo

DEMAND

4 46 24 46 26 27 1

10 -26 26 27 14 47 18 0

10 -24 4

10 -27 18 08 07 1

6.75

LOST SALE

Page 9: Simulasi Monte Carlo

Interval DEMAND DAY

0 0.13 0 0.13 1 13 0 1 01 0.17 0.13 0.3 14 30 1 2 02 0.15 0.3 0.45 31 45 2 3 03 0.25 0.45 0.7 46 70 3 4 04 0.2 0.7 0.9 71 90 4 5 05 0.1 0.9 1 91 100 5 6 0

7 0

Interval 8 0

1 0.03 0 0.03 1 3 1 9 02 0.12 0.03 0.15 4 15 2 10 03 0.4 0.15 0.55 16 55 3 11 14 0.28 0.55 0.83 56 83 4 12 05 0.12 0.83 0.95 84 95 5 13 26 0.05 0.95 1 96 100 6 14 2

15 1AVERAGE 0.4

NUMBER OF

ARRIVALPROBABIL

ITY LOWER PROB

CUM PROB

PREVIOUSLY DELAY

DAILY UNLOADING RATE

PROBABILITY

LOWER PROB

CUM PROB

UNLOADING

Page 10: Simulasi Monte Carlo

ARRIVAL

37 2 2 69 477 4 4 84 513 0 0 12 210 0 0 94 52 0 0 51 3

18 1 1 36 331 2 2 17 3

19 1 1 2 1

32 2 2 15 285 4 4 29 331 2 3 16 394 5 5 52 381 4 6 56 443 2 4 43 331 2 3 26 3

2.066667 3.133333

RANDOM NUMBER

TOTAL TO BE

UNLOADED

RANDOM NUMBER

NUMBER UNLOADE

D

Page 11: Simulasi Monte Carlo

DEMAND DAY

0 0.2 0 0.2 0 1 5 0.603261 0.4 0.2 0.6 1 2 3 0.2090932 0.2 0.6 0.8 2 3 2 0.8550333 0.15 0.8 0.95 3 4 0 0.2035084 0.05 0.95 1 4 5 10 10 0.241244

6 9 0.348298HISTORY 50 HARI PEMESANAN 7 8 0.702049LEAD TIME 8 6 0.357271

LEAD TIME LEAD TIME 9 5 0.81743

1 0.15 0 0.15 1 10 2 0.3091032 0.35 0.15 0.5 23 0.5 0.5 1 3 STOCKOUT COST $40/STOCKOUT

HOLDING COST $1/WEEK

0.284176 0.020736 0.657611 0.632885

DEMAND FOR

REFRIGIRATOR

PROBABILITY

LOWER PROB

CUM PROB

UNIT RECEIVED

BEGINNING

INVENTORY

RANDOM NUMBER

PROBABILITY

LOWER PROB

CUM PROB

Page 12: Simulasi Monte Carlo

DEMAND ORDER

2 3 0 NO1 2 0 NO3 0 1 YES 0.020736 11 0 1 NO1 9 0 NO1 8 0 NO2 6 0 NO1 5 0 NO

3 2 0 YES0.632885

3

1 1 0 NOAVERAGE 3.6 0.2 0.2

STOCKOUT COST $40/STOCKOUT 83.6

ENDING INVENTO

RYLOST SALE

RANDOM NUMBER

LEAD TIME