Permadi, Theta Fisheranika (2015) Analisis Kapabilitas Proses Produksi Minuman Di PT.X Tbk Berdasarkan Distribusi Beta Binomial Sebagai Alternatif Kapabilitas Proses Binomial. Undergraduate thesis, Institut Technology Sepuluh Nopember.
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Abstract
Peluang distribusi Binomial akan tepat digunakan jika sejumlah
individu pengamatan biner dapat membuat proporsi pengamatan
menjadi dependent dan bernilai sama. Tetapi, terkadang individu
pengamatan biner mempunyai nilai proporsi yang berbeda pada
individu yang sama dalam kelompok yang lain. Seperti banyak yang
terjadi pada perusahaan yang menggunakan shif untuk waktu kerja
karyawannya. Tujuan dari penelitian ini adalah untuk mengetahui
analisis kapabilitas proses berdasarkan distribusi Beta Binomial. Pada
hasil pengujian 3 proporsi didapatkan hasil bahwa proporsi produk
cacat pada shif 1, shif 2, dan shif 3 berbeda secara signifikan. Pada
hasil analisis peta kendali p proses tidak terkendali sehingga analisis
kapabilitas proses dilakukan hanya untuk mengetahui nilai persen cacat
dan PPM defektif dan dapat dikatakan proses tidak kapabel. Pada hasil
analisis peta kendali berbasis distribusi Beta Binomial diketahui bahwa
proses telah terkendali secara statistik sehingga analisis kapabilitas
proses dapat dilakukan. Berdasarkan hasil analisis kapabilitas,
diketahui bahwa proses sudah baik atau sudah sesuai dengan standar
kualitas dilihat dari nilai z. Berdasarkan nilai indeks kapabilitas,
didapatkan nilai Pp sebesar 14,20 artinya lebar proses lebih kecil
daripada lebar spesifikasi sedangkan nilai Ppk sebesar 5,60 artinya
semua proporsi produk cacat berada dalam batas spesifikasi.
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Binomial distribution opportunities will be appropriately used if the
number of observations of binary individuals can make observations
proportions become dependent and of equal value. But sometimes
individual binary observations have value different proportions in the
same individual in another group. Like many who happen to companies
that use shif for employees working time. The purpose of this study was
to determine the process capability analysis based Beta Binomial
distribution . In the third test results showed that the proportion
proportion of defective products on shif 1, shif 2, and 3 shif differ
significantly. On the results of the control chart analysis p uncontrolled
process so that process capability analysis is done only to determine the
value of percent defective and defective PPM and can say the process is
not capable. On the results of the analysis of a control chart based Beta
Binomial distribution is known that the process has been controlled so
that the statistical analysis of process capability can be done. Based on
the analysis capability, that process is already well known, or are in
accordance with the quality standards seen from the value of z. Based
on the capability index, a score of 14.20 Pp means a process width
smaller than the width of the specification while Ppk value of 5.60
means that all of the proportion of defective products is within the
specification limits.
| Item Type: | Thesis (Undergraduate) |
|---|---|
| Additional Information: | RSSt 519.535 4 Per r |
| Uncontrolled Keywords: | analisis kapabilitas proses, distribusi Beta Binomial, distribusi Binomial, peta kendali, proporsi produk cacat, |
| Subjects: | Q Science > QA Mathematics > QA278.5 Principal components analysis. Factor analysis. Correspondence analysis (Statistics) |
| Divisions: | Faculty of Mathematics and Science > Statistics > 49201-(S1) Undergraduate Thesis |
| Depositing User: | Mr. Tondo Indra Nyata |
| Date Deposited: | 19 Nov 2018 03:42 |
| Last Modified: | 19 Nov 2018 03:42 |
| URI: | http://repository.its.ac.id/id/eprint/59968 |
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