TUGAS Metode Expodensial Dan Matriks Biaya
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Transcript of TUGAS Metode Expodensial Dan Matriks Biaya
Bangkitan dan tarikan pergerakan pada setiap zonaA/T 1 2 3 Oi
1 7002 6003 850
Dd 900 750 500 2150
A/T 1 2 31 50 60 302 30 70 803 60 90 55
Cari dengan cara :UCGR, PCGR, dan PACGR
Model tanpa - batasan (UCGR)
Zona 1 2 31 0.015764 0.006874 0.0829102 0.082910 0.002997 0.0013073 0.006874 0.000570 0.010410
MAT akhir hasil model UCGRZona 1 2 3 oi Oi Ei Ai
1 9931.6 3608.9 29018.5 42559.0 700 0.0164 1.00002 44771.4 1348.8 392.1 46512.3 600 0.0129 1.00003 5258.7 363.3 4424.2 10046.2 850 0.0846 1.0000
dd 59961.6 5321.1 33834.8 99117.5Dd 900 750 500 2150Ed 0.0150 0.1409 0.0148 0.0217Bd 1.0000 1.0000 1.0000
Tid = Oi .Ai .Bd .Dd .f(Cid)
dengan faktor sebesar 0.0217
MAT akhir hasil model UCGR setelah dimodifikasiZona 1 2 3 oi Oi Ei Ai
1 215 78 629 923 700 0.7583 1.00002 971 29 9 1009 600 0.5947 1.00003 114 8 96 218 850 3.9006 1.0000
dd 1301 115 734 2150Dd 900 750 500 2150Ed 0.6920 6.4979 0.6813 1.0000Bd 1.0000 1.0000 1.0000
Matriks Biaya ( Cid )
f( Cid ) mengikuti model eksponensial dengan β = 0.083
Matriks exp(-βCid)
f(Cid) = e-βCid
Ai = 1 untuk seluruh i dan Bd = 1 untuk seluruh dAgar dapat memenuhi persyaratan yang dibutuhkan, maka setiap sel Tid harus dimodifikasi kembali
Model dengan - batasan - bangkitan (PCGR)
Zona [1] [2] [3] [4]=total [1]-[3] Ai=1/ [6]1 14.1880 5.1555 41.4550 60.7985 0.01642 74.6190 2.2481 0.6535 77.5206 0.01293 6.1867 0.4274 5.2049 11.8190 0.0846
Bd 1.0000 1.0000 1.0000
MAT akhir hasil model PCGRZona 1 2 3 oi Oi Ei Ai
1 163 59 477 700 700 1.0000 0.01642 578 17 5 600 600 1.0000 0.01293 445 31 374 850 850 1.0000 0.0846
dd 1186 107 857 2150Dd 900 750 500 2150Ed 0.7590 6.9768 0.5837 1.0000Bd 1.0000 1.0000 1.0000
Matriks [ Bd .Dd .exp(-βCid) ] dan nilai Ai
Ai .Oi .Bd .Dd .exp(-βCid)
Dengan cara PACGR
Menghitung nilai Bd ( iterasi ke - 1 )
Zona d 1 2 3
11.035092 4.811844 58.036977
49.745980 1.798458 0.784216
5.842953 0.484439 8.848397
Total 66.624025 7.094741 67.669590
Bd=1/[total] 0.015010 0.140949 0.014778
Menghitung nilai Ai ( iterasi ke - 2 )
Zona i Total Ai=1/[total]
1 0.212956 0.726672 0.612609 1.552236 0.6442322 1.120001 0.316865 0.009657 1.446523 0.6913133 0.092859 0.060248 0.076917 0.230025 4.347362
Menghitung nilai Bd ( iterasi ke - 2 )Zona d 1 2 3
7.109157 3.099943 37.38926834.390037 1.243297 0.54213925.401435 2.106032 38.467191
Total 66.900630 6.449272 76.398598Bd=1/[total] 0.014948 0.155056 0.013089
Menghitung nilai Ai ( iterasi ke - 3 )
Zona i Total Ai=1/[total]
1 0.212075 0.799400 0.542614 1.554090 0.6434642 1.115370 0.348578 0.008554 1.472502 0.6791163 0.092475 0.066278 0.068129 0.226882 4.407573
Menghitung nilai Bd ( iterasi ke - 3)Zona d 1 2 3
7.100679 3.096246 37.34467933.783304 1.221362 0.53257425.753241 2.135200 38.999954
Total 66.637224 6.452809 76.877208Bd=1/[total] 0.015007 0.154971 0.013008
A1.O1.exp(-βC1d)
A2.O2 exp(-βC1d)
A3.O3.exp(-βC1d)
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
Menghitung nilai Ai ( iterasi ke - 4 )
Zona i Total Ai=1/[total]
1 0.212914 0.798962 0.539236 1.551112 0.6446992 1.119779 0.348387 0.008501 1.476667 0.6772013 0.092841 0.066242 0.067705 0.226787 4.409418
Menghitung nilai Bd ( iterasi ke - 4 )Zona d 1 2 3
7.114311 3.102190 37.41637533.688026 1.217918 0.53107225.764020 2.136094 39.016279
Total 66.566358 6.456202 76.963726Bd=1/[total] 0.015023 0.154890 0.012993
Menghitung nilai Ai ( iterasi ke - 5 )
Zona i Total Ai=1/[total]
1 0.213140 0.798542 0.538630 1.550312 0.6450312 1.120971 0.348204 0.008491 1.477666 0.6767433 0.092940 0.066207 0.067628 0.226775 4.409653
Menghitung nilai Bd ( iterasi ke -5 )Zona d 1 2 3
7.117980 3.103790 37.43567033.665241 1.217094 0.53071325.765394 2.136208 39.018358
Total 66.548614 6.457092 76.984741Bd=1/[total] 0.015027 0.154868 0.012990
Menghitung nilai Ai ( iterasi ke - 6 )
Zona i Total Ai=1/[total]
1 0.213197 0.798432 0.538483 1.550112 0.6451152 1.121270 0.348156 0.008489 1.477915 0.6766293 0.092964 0.066198 0.067610 0.226772 4.409707
Menghitung nilai Bd ( iterasi ke -6 )Zona d 1 2 3
7.118900 3.104191 37.44050633.659578 1.216889 0.53062425.765712 2.136234 39.018841
Total 66.544190 6.457315 76.989970Bd=1/[total] 0.015028 0.154863 0.012989
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
Menghitung nilai Ai ( iterasi ke - 7 )
Zona i Total Ai=1/[total]
1 0.213211 0.798404 0.538447 1.550062 0.6451352 1.121345 0.348144 0.008488 1.477976 0.6766013 0.092971 0.066196 0.067605 0.226772 4.409721
Menghitung nilai Bd ( iterasi ke -7 )Zona d 1 2 3
7.119129 3.104291 37.44171233.658167 1.216838 0.53060125.765791 2.136241 39.018961
Total 66.543088 6.457370 76.991274Bd=1/[total] 0.015028 0.154862 0.012988
Menghitung nilai Ai ( iterasi ke - 8 )
Zona i Total Ai=1/[total]
1 0.213215 0.798397 0.538437 1.550050 0.6451412 1.121363 0.348141 0.008488 1.477992 0.6765943 0.092972 0.066195 0.067604 0.226772 4.409724
Menghitung nilai Bd ( iterasi ke -8 )Zona d 1 2 3
7.119186 3.104316 37.44201333.657816 1.216825 0.53059625.765811 2.136243 39.018990
Total 66.542813 6.457384 76.991599Bd=1/[total] 0.015028 0.154861 0.012988
Menghitung nilai Ai ( iterasi ke - 9 )
Zona i Total Ai=1/[total]
1 0.213216 0.798396 0.538435 1.550046 0.6451422 1.121368 0.348140 0.008488 1.477996 0.6765923 0.092973 0.066195 0.067604 0.226772 4.409725
Menghitung nilai Bd ( iterasi ke -9 )Zona d 1 2 3
7.119200 3.104322 37.44208833.657728 1.216822 0.53059425.765816 2.136243 39.018998
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
Total 66.542744 6.457387 76.991680Bd=1/[total] 0.015028 0.154861 0.012988
Menghitung nilai Ai ( iterasi ke - 10 )
Zona i Total Ai=1/[total]
1 0.213216 0.798395 0.538435 1.550046 0.6451422 1.121369 0.348140 0.008488 1.477997 0.6765913 0.092973 0.066195 0.067604 0.226772 4.409725
Menghitung nilai Bd ( iterasi ke -10 )Zona d 1 2 3
7.119204 3.104324 37.44210633.657706 1.216821 0.53059425.765817 2.136243 39.019000
Total 66.542727 6.457388 76.991700Bd=1/[total] 0.015028 0.154861 0.012988
Menghitung nilai Ai ( iterasi ke - 11 )
Zona i Total Ai=1/[total]
1 0.213216 0.798395 0.538434 1.550046 0.6451422 1.121369 0.348140 0.008488 1.477997 0.6765913 0.092973 0.066195 0.067604 0.226772 4.409725
Menghitung nilai Bd ( iterasi ke -11 )Zona d 1 2 3
7.119205 3.104324 37.44211133.657701 1.216821 0.53059425.765817 2.136243 39.019000
Total 66.542723 6.457388 76.991705Bd=1/[total] 0.015028 0.154861 0.012988
Menghitung nilai Ai ( iterasi ke - 12 )
Zona i Total Ai=1/[total]
1 0.213216 0.798395 0.538434 1.550045 0.6451422 1.121369 0.348140 0.008488 1.477997 0.6765913 0.092973 0.066195 0.067604 0.226772 4.409725
Menghitung nilai Bd ( iterasi ke -12 )Zona d 1 2 3
7.119205 3.104324 37.442112
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
B1.D1.exp(-βC11)
B2.D2.exp(-Βc12)
B3.D3.exp(-βC13)
A1.O1.exp(-βC1d)
33.657699 1.216821 0.53059425.765818 2.136243 39.019000
Total 66.542722 6.457388 76.991706Bd=1/[total] 0.015028 0.154861 0.012988
1 2 3 4 5 6
A1 1.000000 0.644232 0.643464 0.644699 0.645031 0.645115
A2 1.000000 0.691313 0.679116 0.677201 0.676743 0.676629
A3 1.000000 4.347362 4.407573 4.409418 4.409653 4.409707
B1 0.015010 0.014948 0.015007 0.015023 0.015027 0.015028
B2 0.140949 0.155056 0.154971 0.154890 0.154868 0.154863
B3 0.014778 0.013089 0.013008 0.012993 0.012990 0.012989
7 8 9 10 11 12
A1 0.645135 0.645141 0.645142 0.645142 0.645142 0.645142
A2 0.676601 0.676594 0.676592 0.676591 0.676591 0.676591
A3 4.409721 4.409724 4.409725 4.409725 4.409725 4.409725
B1 0.015028 0.015028 0.015028 0.015028 0.015028 selesai
B2 0.154862 0.154861 0.154861 0.154861 0.154861 selesai
B3 0.012988 0.012988 0.012988 0.012988 0.012988 selesai
A2.O2 exp(-βC1d)A3.O3.exp(-βC1d)
Nilai Ai dan Bd yang didapat pada setiap pengulangan
pengu-langan
pengu-langan