Perencanaan Perawatan Mesin dengan Menggunakan Metode Markov Chain untuk Menurunkan Biaya Perawatan (Study Kasus Mesin Stassiun Putaran di PT.PG.Krebet Baaru I Bululawang Malang)
TUGAS AKHIR
Diajukan Sebagai Salah Satu Syarat Untuk Memperoleh Gelar Sarjana Teknik Pada Jurusan Teknik Industri Fakultas Teknik Universitas Muhammadiyah Malang
Oleh : NAMA : RENI YULIANTI NIM
: 98540065
NIRM : 98.7.024.31211.19719
JURUSAN TEKNIK INDUSTRI FAKULTAS TEKNIK UNIVERSITAS MUHAMMADIYAH MALANG 2003
LEMBAR PERSETUJUAN TUGAS AKHIR
NAMA
: Reni Yulianti
NIM / NIRM : 98540065 / 98.7.024.31211.19719 FAKULTAS : Teknik JURUSAN
: Industri
JUDUL
: PERENCANAAN
PERAWATAN
MENGGUNAKAN METODE
MESIN
DENGAN
MARKOV CHAIN UNTUK
MENURUNKAN BIAYA PERAWATAN (Study Kasus Mesin Stasiun Putaran di PT. PG.Krebet Baru I Bululawang Malang)
Menyetujui dan Mengesahkan,
Pembimbing I
Pembimbing II
Ir Heri.M.Kholik , MT
Ilyas Mas’udin, ST Mengetahui, Ketua Jurusan Industri
Ir. Dyah Retno P, MT
DAFTAR ISI Halaman HALAMAN JUDUL ...................................................................................
i
LEMBAR PERSETUJUAN .......................................................................
ii
BERITA ACARA BIMBINGAN TUGAS AKHIR ..................................
iii
BERITA ACARA UJIAN TUGAS AKHIR ..............................................
iv
ABSTRAKSI ................................................................................................. SURAT KETERANGAN PENELITIAN...................................................
v vi
KATA PENGANTAR .................................................................................
vii
DAFTAR ISI ...............................................................................................
ix
DAFTAR TABEL .......................................................................................
xi
DAFTAR GAMBAR ..................................................................................
xiii
DAFTAR LAMPIRAN...............................................................................
xiv
BAB I PENDAHULUAN 1.1. Latar belakang............................................................................... 1.2. Perumusan Masalah....................................................................... 1.3. Tujuan Penelitian............................................................................ 1.4. Manfaat Penelitian.......................................................................... 1.5. Batasan Masalah............................................................................ 1.6. Asumsi – asumsi ......................................................................... .. 1.7. Sistematika Penulisan ................................................................. ...
1 2 2 3 3 4 5
BAB II LANDASAN TEORI 2.1. Sistem Perawatan .......................................................................... 2.1.1. Pengertian Dan Tujuan Perawatan....................................... 2.1.2. Jenis-jenis Perawatan ......................................................... 2.1.3. Model Peraawatan Ideal..................................................... 2.1.4. Kebijaksanaan Perawatan .................................................. 2.2. Klasifikasi Kondisi Kerusakan........................................................ 2.3. Proses Markov Chain .................................................................... 2.3.1. Penaksiran Parameter Markov............................................ 2.3.2. Kegunaan Probabilitas dan Keputusan Markov................... 2.4. Analisa Biaya.................................................................................
7 7 9 11 12 13 14 17 19 22
2.4.1. Biaya Penyelenggaraan Perawatan Pencegahan................... 2.4.2. Biaya Korektif.................................................................... 2.4.3. Ekspektasi Biaya................................................................ 2.5. Perhitungan Periode Pemeliharaan Mesin yang Optimal................... BAB III METODOLOGI PENELITIAN 3.1. Survey Perusahaan........................................................................ 3.2. Identifikasi Masalah dan Penentuan Tujuan.................................... 3.3. Study Literatur.............................................................................. 3.4. Pengumpulan Data........................................................................ 3.5. Pengolahan Data........................................................................... 3.6 Perencanaan Perawatan Mesin dengan Metode Markov Chain...... 3.7. Analisa Hasil................................................................................ 3.8. Kesimpulan dan Saran.................................................................. BAB IV PENGUMPULAN DAN PENGOLAHAN DATA 4.1. Pengumpulan................................................................................. 4.1.1. Data Jenis Mesin ................................................................ 4.1.2. Data Mesin yang Mengalami Transisi Staatus Tiap Item....... 4.1.3. Data Mesin yang Berada pada Status Baaik, Kerusakan Ringan,Sedang dan Berat.................................................... 4.1.4. Data Waktu Pemeliharaan Pencegahan................................ 4.1.5. Data Waktu Rata-rata Kerusakan Mesin ............................ 4.1.6. Data Biaya Downtime......................................................... 4.2. Jenis-Jenis Perawatan yang Dilakukan Perusahaan......................... 4.2.1. Jenis-jenis Perawatan Pencegahan ...................................... 4.2.2. Jenis-jenis Perawatan Perbaikan......................................... 4.3. Pengolahan Data............................................................................ 4.3.1. Perhitungan Probabilitas Status Masing-masing Item............ 4.3.2. Perhitungan Probabilitas Status untuk Perencanaan Perawatan Usulan .............................................................. 4.3.3. Perhitungan Periode Pemeliharaan Mesin Optimal............... BAB V ANALISA DATA 5.1. Probabilitas Transisi....................................................................... 5.2. Matriks Transisi Untuk Perencanaan Perawatan Usulan.................. 5.3. Probabilitas Status dalam Keadaan Steady State ............................ 5.4. Analisa Biaya .................................................................................
23 23 24 24 25 26 28 28 31 37 37 37
38 38 38 40 42 43 45 47 47 48 49 49 55 82
91 92 96 98
5.5. Analisa Periode Pemeliharaan Pencegahan...................................... 5.6. Analisa Hasil..................................................................................
105 109
BAB VI KESIMPULAN DAN SARAN 6.1. Kesimpulan.................................................................................... 6.2. Saran ............................................................................................
111 112
DAFTAR PUSTAKA LAMPIRAN
DAFTAR GAMBAR
Halaman Gambar 2.1 Skematis Himpunan Tertutup (Close Set).....................................
21
Gambar 3.1 Metodologi Pemecahan Masalah.................................................
27
DAFTAR TABEL
Halaman Tabel 4.1 Tabel Transisi Status Mesin Putaran Batch .................................. 38 Tabel 4.2 Tabel Transisi Status Mesin Putaran Conti.....................................
39
Tabel 4.3 Tabel Transisi Status Mesin Bucket Elevator..................................
39
Tabel 4.4 Tabel Transisi Status Mesin Vibrating Screen ................................
40
Tabel 4.5 Tabel Jumlah Status Mesin pada Mesin Putaran Batch...................
40
Tabel 4.6 Tabel Jumlah Status Mesin pada Mesin Putaran Conti....................
41
Tabel 4.7 Tabel Jumlah Status Mesin pada Mesin Bucket Elevator................
41
Tabel 4.8 Tabel Jumlah Status Mesin pada Mesin Vibrating Screen...............
42
Tabel 4.9 Tabel Waktu Pemeliharaan Pencegahan.........................................
42
Tabel 4.10 Tabel Waktu rata-rata Kerusakan Mesin Putaran Batch.................
43
Tabel 4.11 Tabel Waktu rata-rata Kerusakan Mesin Putaran Conti.................
43
Tabel 4.12 Tabel Waktu rata-rata Kerusakan Mesin Bucket Elevator..............
44
Tabel 4.13 Tabel Waktu rata-rata Kerusakan Mesin Vibrating Screen.............
44
Tabel 4.14 Tabel Probabilitas Transisi Status Mesin Putaran Batch .................
50
Tabel 4.15 Tabel Probabilitas Transisi Status Mesin Putaran Conti..................
51
Tabel 4.16 Tabel Probabilitas Transisi Status Mesin Bucket Elevator..............
52
Tabel 4.17 Tabel Probabilitas Transisi Status MesinVibrating Screen...............
54
Tabel 5.1 Tabel Probabilitas Status Mesin Putaran Batch..............................
96
Tabel 5.2 Tabel Probabilitas Status Mesin Putaran Conti...............................
96
Tabel 5.3 Tabel Probabilitas Status Mesin Bucket Elevator ...........................
97
Tabel 5.4 Probabilitas Status Mesin Vibrating Screen....................................
97
Tabel 5.5 Tabel Periode Pemeliharaan Pencegahan Mesin Putaran Batch............
105
Tabel 5.6 Tabel Periode Pemeliharaan Pencegahan Mesin Putaran Conti............
106
Tabel 5.7 Tabel Periode Pemeliharaan Pencegahan Mesin Bucket Elevator...
107
Tabel 5.8 Tabel Periode Pemeliharaan Pencegahan Mesin Vibrating Screen...
108
Tabel 5.9 Tabel Hasil Penelitian Perawatan Usulan Terbaik............................
109
Tabel 5.10 Tabel Hasil Penelitian Periode Pemeliharaan Terbaik......................
110
DAFTAR LAMPIRAN
Lampiran A : Input Data Probabilitas Transisi Awal Lampiran B : Probabilitas Status Awal Lampiran C : Input Data Probabilitas Status Perencanaan Perawatan Usulan Lampiran D : Probabilitas Status Perencanaan Perawatan Usulan Lampiran E : Gambar Mesin Putaran Batch Lampiran F : Gambar Mesin Putaran Conti Lampiran G : Gambar Mesin Bucket Elevator Lampiran H : Gambar Mesin Vibrating SCreen
DAFTAR LAMPIRAN
Lampiran A : Input Data Probabilitas Transisi Awal Lampiran B : Probabilitas Status Awal Lampiran C : Input Data Probabilitas Status Perencanaan Perawatan Usulan Lampiran D : Probabilitas Status Perencanaan Perawatan Usulan
DAFTAR PUSTAKA
Buffa, Elwood s, Rakesh K. Sarin, Manajemen Operasi dan Produksi Modern, Edisi kedelepan, Jilid 1, Penerbit Binarupa Aksara, Jakarta, 1996. Hines, William W Probabilita dan Statistik Dalam Ilmu Rekayasa dan Manajemen, Edisi kedua, Penerbit UI,1990. Moerdokusumo A. Pengawasan Kualitas dan Teknologi Pembuatan Gula di Indonesia. Penerbit ITB Bandung, 1993. Rammakumar, R, Engineering Reliability Fundamental Aplication, Prentice Hall, New Jersey, 1993. Ross, Sheldon M. Introduction To Probability Models, California, 1985. Siagian. P. Penelitian Operasional, Penerbit UI – Press, Jakarta, 1987. Sofyan Assauri, Manajemen Produksi, Edisi Keempat, Penerbit Fakultas Ekonomi UI,1993. Subagyo Pangestu, Marwan Asri, T Hani Handoko. Dasar-Dasar Operation Research, Edisi kedua, Penerbit BPFE, Yogyakarta, 1986. Taha , A. Hamdy, Riset Operasi, Jilid 2, Penerbit Binarupa Aksara, Jakarta, 1996 Tijm, Henk C. Stocastic Models, Amsterdam, 1995. Tjuju T. Dimyati, Ahmad Dimyati, Operations Research, Model-Model Pengambilan Keputusan, Edisi Kedua Penerbit Sinar Baru Algesindo, Bandung, 1987.
1.
Probabilitas Transisi Mesin Putaran Batch Modules-1
Modules-2
Input Data
Solution
Options
Help - MKV
+-------------------- Transition Probabilities for Markov ---------------------+ ¦From
\
To:¦
S1
S2
S3
S4
¦
+------------+----------------------------------------------------------------¦ ¦ S1
¦[.8495
][.0333
][.0654
][.0515
]
¦
¦ S2
¦[
][.375
][.25
][.375
]
¦
¦ S3
¦[
][
][.75
][.25
]
¦
¦ S4
¦[1
][
][
][
]
¦
¦
¦
¦
+------------------------------------------------------------------------------¦ ¦
<
OK >
< PgUp >
< PgLt >
< PgRt >
< Help >
< Print >
< Cancel >
¦
+------------------------------------------------------------------------------+
2.
Probabilitas Transisi Mesin Putaran Conti
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[.9084 ][.0336 ][.0393 ][.0185 ] ¦ ¦ S2 ¦[ ][.2 ][.7 ][.1 ] ¦ ¦ S3 ¦[ ][ ][.6666 ][.3333 ] ¦ ¦ S4 ¦[1 ][ ][ ][ ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦
3.
Probabilitas Transisi Mesin Bucket Elevator
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.7778 ][0.0555 ][0.0833 ][0.0833 ] ¦ ¦ S2 ¦[0 ][0.3333 ][0.3333 ][0.3333 ] ¦ ¦ S3 ¦[0 ][0 ][0.5 ][0.5 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+
4.
Probabilitas Transisi Mesin Vibrating Screen
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.8055 ][0.0555 ][0.0833 ][0.0555 ] ¦ ¦ S2 ¦[0 ][0.3333 ][0.3333 ][0.3333 ] ¦ ¦ S3 ¦[0 ][0 ][0.5 ][0.5 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+ 1. Perencanaan perawatan usulan mesin putaran Batch a. Perawatan korektif pada status 4 dan perawatan Pencegahan status 3 Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.8495 ][0.0333 ][0.0654 ][0.0515 ] ¦ ¦ S2 ¦[0 ][0.375 ][0.25 ][0.375 ] ¦ ¦ S3 ¦[0 ][1 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+
Perawatan korektif pada status 3 dan 4 serta perawatan Pencegahan status 2 Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.8495 ][0.0333 ][0.0654 ][0.0515 ] ¦ ¦ S2 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S3 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+ b.
Perawatan korektif pada status 4 dan perawatan Pencegahan status 2 dan 3
Modules-1
Modules-2
Input Data
Solution
Options
Help – MKV
+-------------------- Transition Probabilities for Markov ---------------------+ ¦From
\
To:¦
S1
S2
S3
S4
¦
+------------+-----------------------------------------------------------------¦ ¦ S1
¦[0.8495
][0.0333
][0.0654
][0.0515
]
¦
¦ S2
¦[1
][0
][0
][0
]
¦
¦ S3
¦[0
][1
][0
][0
]
¦
¦ S4
¦[1
¦
¦
][0
][0
][0
]
¦ ¦
+------------------------------------------------------------------------------¦ ¦
<
OK >
< PgUp >
< PgLt >
< PgRt >
< Help >
< Print >
< Cancel >
¦
+------------------------------------------------------------------------------+
c.
Perawatan korektif pada status 3 dan 4
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.8495 ][0.0333 ][0.0654 ][0.0515 ] ¦ ¦ S2 ¦[0 ][0.375 ][0.25 ][0.375 ] ¦ ¦ S3 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+
Perencanaan perawatan usulan mesin putaran Conti d.
Perawatan korektif pada status 4 dan perawatan Pencegahan status 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.9084 ][0.0336 ][0.0393 ][0.0185 ] ¦ ¦ S2 ¦[0 ][0.2 ][0.7 ][0.1 ] ¦ ¦ S3 ¦[0 ][1 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+ e. Perawatan korektif pada status 3 dan 4 serta perawatan Pencegahan status 2 Modules-1 Modules-2 Input Data Solution Options Help – MKV +-------------------- Transition Probabilities for Markov --------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+----------------------------------------------------------------¦ ¦ S1 ¦[0.9084 ][0.0336 ][0.03935 ][0.0185 ] ¦ ¦ S2 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S3 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +-----------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦
+-----------------------------------------------------------------------------+
f.
Perawatan korektif pada status 4 dan perawatan Pencegahan status 2 dan 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.9084 ][0.0336 ][0.0394 ][0.0185 ] ¦ ¦ S2 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S3 ¦[0 ][1 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+ g.
Perawatan korektif pada status 3 dan 4
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.9084 ][0.0336 ][0.0394 ][0.0185 ] ¦ ¦ S2 ¦[0 ][0.2 ][0.7 ][0.1 ] ¦ ¦ S3 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+
2. a.
Perencanaan perawatan usulan mesin Bucket Elevator Perawatan korektif pada status 4 dan perawatan Pencegahan status 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[.7778 ][.0555 ][.0833 ][.0833 ] ¦ ¦ S2 ¦[ ][.3333 ][.3333 ][.3333 ] ¦ ¦ S3 ¦[ ][1 ][ ][ ] ¦ ¦ S4 ¦[1 ][ ][ ][ ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+ b.
Perawatan korektif pada status 3 dan 4 serta perawatan Pencegahan status 2 Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.7778 ][0.0555 ][0.0833 ][0.0833 ] ¦ ¦ S2 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S3 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+
c.
Perawatan korektif pada status 4 dan perawatan Pencegahan status 2 dan 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.7778 ][0.0555 ][0.0833 ][0.0833 ] ¦ ¦ S2 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S3 ¦[0 ][1 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+ d.
Perawatan korektif pada status 3 dan 4
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.7778 ][0.0555 ][0.0833 ][0.0833 ] ¦ ¦ S2 ¦[0 ][0.3333 ][0.3333 ][0.3333 ] ¦ ¦ S3 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+
3. a.
Perencanaan perawatan usulan mesin Vibrating Screen Perawatan korektif pada status 4 dan perawatan Pencegahan status 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.8055 ][0.0555 ][0.0833 ][0.0555 ] ¦ ¦ S2 ¦[0 ][0.3333 ][0.3333 ][0.3333 ] ¦ ¦ S3 ¦[0 ][1 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +----------------------------------------------------------------------------b.
Perawatan korektif pada status 3 dan 4 serta perawatan Pencegahan status 2 Modules-1 Modules-2 Input Data Solution Options Help - MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.8055 ][0.0555 ][0.0833 ][0.0555 ] ¦ ¦ S2 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S3 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+
c.
Perawatan korektif pada status 4 dan perawatan Pencegahan status 2 dan 3
Modules-1 Modules-2 Input Data Solution Options Help – MKV +-------------------- Transition Probabilities for Markov ---------------------+ ¦From \ To:¦ S1 S2 S3 S4 ¦ +------------+-----------------------------------------------------------------¦ ¦ S1 ¦[0.8055 ][0.0555 ][0.0833 ][0.0555 ] ¦ ¦ S2 ¦[1 ][0 ][0 ][0 ] ¦ ¦ S3 ¦[0 ][1 ][0 ][0 ] ¦ ¦ S4 ¦[1 ][0 ][0 ][0 ] ¦ ¦ ¦ ¦ +------------------------------------------------------------------------------¦ ¦ < OK > < PgUp > < PgLt > < PgRt > < Help > < Print > < Cancel > ¦ +------------------------------------------------------------------------------+
d.
Perawatan korektif pada status 3 dan 4 Modules-1
Modules-2
Input Data
Solution
Options
Help - MKV
+-------------------- Transition Probabilities for Markov ---------------------+ ¦From
\
To:¦
S1
S2
S3
S4
¦
+------------+-----------------------------------------------------------------¦ ¦ S1
¦[0.8055
][0.0555
][0.0833
][0.0833
]
¦
¦ S2
¦[0
][0.3333
][0.3333
][0.3333
]
¦
¦ S3
¦[1
][0
][0
][0
]
¦
¦ S4
¦[1
][0
][0
][0
]
¦
¦
¦
¦
+------------------------------------------------------------------------------¦ ¦
<
OK >
< PgUp >
< PgLt >
< PgRt >
< Help >
< Print >
< Cancel >
¦
+------------------------------------------------------------------------------+
1. Mesin Putaran Batch Modules-1
Modules-2
Input Data
Solution
Options
Help - MKV
+---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:14:02 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .6462998 ¦ M ¦ S3 ¦ .217383 ¦ M ¦ ¦ S2 ¦ 0.034021 ¦ M ¦ S4 ¦ .1013519 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
2. Mesin Putaran Conti Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:18:05 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .6902934 ¦ M ¦ S3 ¦ 0.097613 ¦ M ¦ ¦ S2 ¦ 0.028675 ¦ M ¦ S4 ¦ 0.054631 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
3. Mesin Bucket Elevator Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:32:03 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .6549399 ¦ M ¦ S3 ¦ .1452844 ¦ M ¦ ¦ S2 ¦ 0.054114 ¦ M ¦ S4 ¦ .1452844 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +----------------------------------------------------------------------------+ 4. Mesin Vibrating Screen Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:35:58 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .6669943 ¦ M ¦ S3 ¦ .1478442 ¦ M ¦ ¦ S2 ¦ 0.055145 ¦ M ¦ S4 ¦ .1293078 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
1.
Mesin putaran Batch
a.
Perawatan korektif pada status 4 dan perawatan pencegahan pada status 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:40:34
Page: 1 of 1 ¦
+-----------------------------------------------------------------------------¦ ¦
State ¦
¦
Name
State ¦ Recurrence ¦ ¦Probability ¦
Time
State ¦ ¦
Name
State ¦ Recurrence ¦ ¦Probability ¦
Time
¦
+------------+------------+------------+------------+------------+------------¦ ¦
S1
¦ .6334749 ¦
M ¦
S3
¦ .087007 ¦
M ¦
¦
S2
¦ .1772188 ¦
M ¦
S4
¦ .1013933 ¦
M ¦
+-----------------------------------------------------------------------------¦ ¦
Expected Cost/Profit =
0
Elapsed CPU Seconds =
0
¦
+-----------------------------------------------------------------------------¦ ¦
< PageDown >
< PageUp >
< Hardcopy >
< Cancel >
+-----------------------------------------------------------------------------+
¦
b. Perawatan korektif pada status 3 dan 4 serta perawatan pencegahan pada status 2 Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:43:36 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .8681579 ¦ M ¦ S3 ¦ 0.056795 ¦ M ¦ ¦ S2 ¦ 0.028919 ¦ M ¦ S4 ¦ 0.044724 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0.058593 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+ c. Perawatan korektif pada status 4 dan perawatan pencegahan pada status 2 dan status 3 Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:45:52 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .8216674 ¦ M ¦ S3 ¦ 0.053778 ¦ M ¦ ¦ S2 ¦ 0.080915 ¦ M ¦ S4 ¦ 0.042348 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
d.
Perawatan korektif pada status 3 dan 4
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:50:05 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .8294982 ¦ M ¦ S3 ¦ 0.065394 ¦ M ¦ ¦ S2 ¦ 0.044375 ¦ M ¦ S4 ¦ 0.059462 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
2. a.
Mesin Putaran Conti Perawatan Korektif pada status 4 dan perawatan pencegahan pada status 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:48:14 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .4451803 ¦ M ¦ S3 ¦ .2283601 ¦ M ¦ ¦ S2 ¦ .2877862 ¦ M ¦ S4 ¦ 0.038418 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
b.
Perawatan Korektif pada status 3 dan 4 serta perawatan pencegahan pada status 2
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:50:10 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .9157156 ¦ M ¦ S3 ¦ 0.036082 ¦ M ¦ ¦ S2 ¦ 0.030771 ¦ M ¦ S4 ¦ 0.016942 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
c.
Perawatan Korektif pada status 4 dan perawatan pencegahan pada status 2 dan status 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:51:20 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .8839018 ¦ M ¦ S3 ¦ 0.034828 ¦ M ¦ ¦ S2 ¦ 0.0644605 ¦ M ¦ S4 ¦ 0.016353 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
d.
Perawatan Korektif pada status 3 dan 4
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 13:52:29 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .8818098 ¦ M ¦ S3 ¦ 0.060679 ¦ M ¦ ¦ S2 ¦ 0.037041 ¦ M ¦ S4 ¦ 0.020019 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
3. a.
Mesin Bucket elevator Perawatan Korektif pada status 4 dan perawatan pencegahan pada status 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 14:18:52 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .5284809 ¦ M ¦ S3 ¦ .1218202 ¦ M ¦ ¦ S2 ¦ .2274538 ¦ M ¦ S4 ¦ .1218202 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
b. Perawatan Korektif pada status 3 dan 4 serta perawatan pencegahan pada status 2 Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 14:22:17 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .8178198 ¦ M ¦ S3 ¦ 0.068161 ¦ M ¦ ¦ S2 ¦ 0.045413 ¦ M ¦ S4 ¦ 0.068161 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+ c. Perawatan Korektif pada status 4 dan perawatan pencegahan pada status 2 dan 3 Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 14:24:11 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .7657018 ¦ M ¦ S3 ¦ 0.063900 ¦ M ¦ ¦ S2 ¦ .106092 ¦ M ¦ S4 ¦ 0.063900 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦
d.
Perawatan Korektif pada status 3 dan 4
Modules-1 Modules-2 Input Data Solution Options Help – MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 14:29:14 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .7656842 ¦ M ¦ S3 ¦ 0.085046 ¦ M ¦ ¦ S2 ¦ 0.063762 ¦ M ¦ S4 ¦ 0.085046 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
4. a.
Mesin Vibrating Screen Perawatan korektif pada status 4 dan perawatan pencegahan pada status 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 14:36:03 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .5371915 ¦ M ¦ S3 ¦ .1233632 ¦ M ¦ ¦ S2 ¦ .2302176 ¦ M ¦ S4 ¦ .1085247 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
b.
Perawatan korektif pada status 3 dan 4 serta perawatan pencegahan pada status 2
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 14:40:12 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .8364975 ¦ M ¦ S3 ¦ 0.069708 ¦ M ¦ ¦ S2 ¦ 0.046444 ¦ M ¦ S4 ¦ 0.046444 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
c.
Perawatan korektif pada status 4 dan perawatan pencegahan pada status 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 14:42:57 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .7821409 ¦ M ¦ S3 ¦ 0.065253 ¦ M ¦ ¦ S2 ¦ .1083024 ¦ M ¦ S4 ¦ 0.043476 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦ +-----------------------------------------------------------------------------+
d.
Perawatan korektif pada status 4 dan perawatan pencegahan pada status 3
Modules-1 Modules-2 Input Data Solution Options Help - MKV +---------------------- Solution of Period 6 for Markov ----------------------+ ¦ 05-09-2003 14:45:15 Page: 1 of 1 ¦ +-----------------------------------------------------------------------------¦ ¦ State ¦ State ¦ Recurrence ¦ State ¦ State ¦ Recurrence ¦ ¦ Name ¦Probability ¦ Time ¦ Name ¦Probability ¦ Time ¦ +------------+------------+------------+------------+------------+------------¦ ¦ S1 ¦ .7820116 ¦ M ¦ S3 ¦ 0.086865 ¦ M ¦ ¦ S2 ¦ 0.065124 ¦ M ¦ S4 ¦ 0.065124 ¦ M ¦ +-----------------------------------------------------------------------------¦ ¦ Expected Cost/Profit = 0 Elapsed CPU Seconds = 0 ¦ +-----------------------------------------------------------------------------¦ ¦ < PageDown > < PageUp > < Hardcopy > < Cancel > ¦
5.5. Analisa Periode Pemeliharaan pencegahan 1. Mesin Putaran Batch Tabel 5-5 Periode Peme liharaan Pencegahan (1)
(2)
(3)
(4)
(5)
(6)
Siklus
Perkiraan
Jumlah rata-
Perkiraan biaya
Perkiraan biaya PM
Perkiraan biaya
pemeliharaan
kerusakan
rata
kerusakan bulanan
bulanan
bulanan masing-
preventif (n)
dalam siklus
kerusakan/bln
(kol 3 x Rp.
(Rp.671.900x7)/kol 1
masing siklus PM
Bln
PM, Bi
(kol 2/kol 1)
14.326.500)
2.8 2.8 40114200 1 6.72 3.36 48137040 2 12.21 4.07 58308855 3 19.89 4.9725 71238521 4 27.96 5.592 80113788 5 44.63 7.438333 1.07E+08 6 Biaya perawatan pencegahan (Cost Preventive Maintenance / CPM) = Rp. 671.900 Biaya perawatan perbaikan (Cost repair / Cr) = Rp. 14.326.500 Periode pemeliharaan preventif biaya minimum adalah setiap satu bulan sekali
(kol 4 + kol 5) 4703300 2351650 1567767 1175825 940660 783883.3
44817500 50488690 59876622 72414346 81054448 1.07E+08
2. Mesin Putaran Conti Tabel 5-6 Periode Pemeliharaan Pencegahan (1)
(2)
(3)
(4)
(5)
(6)
Siklus
Perkiraan
Jumlah rata-
Perkiraan biaya
Perkiraan biaya PM
Perkiraan biaya
pemeliharaa
kerusakan dalam
rata
kerusakan bulanan
bulanan
bulanan masing-
n preventif
siklus PM, Bi
kerusakan/bln
(kol 3xRp.
(Rp.679.100x7)/kol 1
masing siklus PM (kol
(kol 2/kol 1)
24.571.593,75)
(n) Bln
2.2 2.2 54057506 1 4.84 2.42 59463257 2 8.23 2.743333 67408072 3 15.81 3.9525 97119224 4 17.22 3.444 84624569 5 22.86 3.81 93617772 6 Biaya perawatan pencegahan (Cost Preventive Maintenance / CPM) = Rp. 679.100 Biaya perawatan perbaikan (Cost repair / Cr) = Rp. 24.571.593,75 Periode pemeliharaan preventif biaya minimum adalah setiap satu bulan sekali
4 + kol 5) 7470100 3735050 2490033 1867525 1494020 1245017
61527606* 63198307 69898106 98986749 86118589 94862789
3. Mesin Bucket Elevator Tabel 5-7 Periode Pemeliharaan Pencegahan (1)
(2)
(3)
(4)
(5)
(6)
Siklus
Perkiraan
Jumlah rata-
Perkiraan biaya
perkiraan biaya PM
Perkiraan biaya
pemeliharaan
kerusakan
rata
kerusakan bulanan
bulanan (Rp.307.500 x
bulanan masing-
preventif (n)
dalam siklus
kerusakan/bln
(kol 3 x Rp.
7) /kol 1
masing siklus PM
Bln
PM, Bi
(kol 2/kol 1)
52.954.122,7)
1 0,9 0,9 47658710,43 2 2,07 1,035 54807516,99 3 3,59 1,196667 63368433,5 4 5,57 1,3925 73738615,86 5 8,14 1,628 86209311,76 6 6,98 1,163333 61603296,07 Biaya perawatan pencegahan (Cost Preventive Maintenance / CPM) = Rp. 307.500 Biaya perawatan perbaikan (Cost repair / Cr) = Rp. 52.954.122,7 Periode pemeliharaan preventif biaya minimum adalah setiap satu bulan sekali
(kol 4 + kol 5) 922500 461250 307500 230625 184500 153750
48581210,43 * 55268766,99 63675933,5 73969240,86 86393811,76 61757046,07
4. Mesin Vibrating Screen Tabel 5-8 Periode Pemeliharaan Pencegahan (1)
(2)
(3)
(4)
(5)
(6)
Siklus
Perkiraan
Jumlah rata-rata
Perkiraan biaya
perkiraan biaya PM
Perkiraan biaya
pemelihar
kerusakan dalam
kerusakan/bln
kerusakan bulanan
bulanan
bulanan masing-
aan
siklus PM, Bi
(kol 2/kol 1)
(kol 3 x Rp.
(Rp.307.500x7)/kol1
masing siklus PM
preventif
32.373.000)
(kol 4 + kol 5)
(n) Bln 1 3,5 3,5 50142750 2 8,75 4,375 62678437,5 3 16,63 5,543333 79416565 4 28,44 7,11 101861415 5 46,16 9,232 132262248 6 72,74 12,12333 173684935 Biaya perawatan pencegahan (Cost Preventive Maintenance / CPM) = Rp. 307.500 Biaya perawatan perbaikan (Cost repair / Cr) = Rp. 32.373.000 Periode pemeliharaan preventif biaya minimum adalah setiap satu bulan sekali
4703300 2351650 1567767 1175825 940660 783883,3
54846050* 65030087,5 80984331,67 103037240 133202908 174468818,3
