Diagram Kendali Nonparametrik Sintetis Exponentially Weighted Moving Average dalam Memantau Rata-Rata Proses dan Penerapannya pada Data Pengukuran Core 4st PT. ABCD

  • Shelly Tri Yuliyanti 10060119005 Statistika
  • Suliadi Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Islam Bandung
Keywords: Statistical Process Control, Nonparametrik, SynEWMA

Abstract

Abstract. Control chart is a tools in statistical process control (SPC) used to monitor whether the the production process is stable or not. Control chrat was first developed by Shewhart. However, the Swehart type chart is not sensitive in detecting small shifts and the alternative is the EWMA control chart which is capable of detecting small shifts, but this chart assumming the observation process comes from normal distribution. The altervative is nonparametric EWMA Sign control chart that is appropriate for non normal data. To increase its power, Haq et al. (2018) proposed a synthetic chart that combines EWMA chart and conforming run length (CRL) sub-chart, called SynEWMA chart. This chart has better performance compared to control charts in general. This research applied the SynEWMA nonparametric control diagram to the core 4st data. Core 4st is one of the components in the motor starter dynamo and starter coil whose function is to strengthen the magnetic field and act as a fastener for the motor frame mount. In the phase I, it used non-parametric Shewhart control chart, it was obtained the mean process is µ0 = 485150. Using the SynEWMA control chart in phase II and L=10, a value of k = 1,4679, the control limits obtained were as follows: UCL= 0.8380 and LCL=0.7854. There were several points outside of the control limits or nonconforming. From these points, by comparing them with the L value, it can be concluded that there were out of control processes in observations 2, 3, 4, 5, 18, and 19.

Abstrak. Diagram kendali merupakan suatu alat dalam pengendalian proses statistik (SPC) yang digunakan untuk memantau apakah suatu proses produksi stabil atau tidak. Diagram kendali pertama kali dikembangkan oleh Shewhart. Namun diagram kendali tipe Swehart kurang sensitif dalam mendeteksi pergeseran kecil dan alternatifnya adalah peta kendali EWMA yang mampu mendeteksi pergeseran kecil, namun diagram kendali ini mengasumsikan proses pengamatan berasal dari distribusi normal. Alternatifnya adalah diagram kendali Tanda EWMA nonparametrik yang sesuai untuk data non normal. Untuk meningkatkan kekuatannya, Haq et al. (2018) mengusulkan diagram kendali sintetis yang menggabungkan diagram kendali EWMA dan sub-grafik run length (CRL) yang sesuai, yang disebut diagram kendali SynEWMA. Grafik ini mempunyai kinerja yang lebih baik dibandingkan dengan diagram kendali pada umumnya. Penelitian ini menerapkan diagram kendali nonparametrik SynEWMA pada data core 4st. Core 4st merupakan salah satu komponen pada dinamo starter motor dan koil starter yang fungsinya untuk memperkuat medan magnet dan berfungsi sebagai pengikat dudukan rangka motor. Pada tahap I menggunakan diagram kendali Shewhart non parametrik diperoleh rata-rata proses µ = 4,8515. Dengan menggunakan diagram kendali SynEWMA tahap II dan L=10 diperoleh nilai k = 1,4679 batas kendali diperoleh sebagai berikut: BKA=0.8380 dan BKB=0.7854. Terdapat beberapa titik di luar batas kendali atau tidak sesuai. Dari poin-poin tersebut, jika dibandingkan dengan nilai L maka dapat disimpulkan bahwa terjadi proses diluar kendali pada pengamatan ke-2, 3, 4, 5, 18, dan 19.

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Published
2024-02-06