Precision Analysis of Poisson Control Chart Based on Sample Size

Authors

  • Elsa Resa Sari Universitas Hasanuddin

DOI:

https://doi.org/10.20956/jmsk.v16i3.6944

Keywords:

Poisson control chart, attribute control chart, ARL

Abstract

One technique used in performing statistical quality control is by poisson control chart. Poisson control chart used in data that have the same mean and varians for monitoring the number of defects in the study. In some cases, the different sample sizes influence the control chart performance. The control chart performance can be measured using average run length (ARL). The smaller ARL’s value, the better type of control chart. In this study, we used different sample sizes  that is  and mean . The result show the best performance of control chart is when  and m = 200, because its has a smaller ARL’s value.                            

Downloads

Download data is not yet available.

References

Adlaida, F. 2011. Penggunaan Model Regresi Zero-Inflated Generalized Poisson (ZIGP) Pada Data Penderita Penyakit Demam Berdarah (DBD) di Rumah Sakit Wahidin Sudirohusodo. Fakultas Matematika dan Ilmu Pengetahuan Alam. Skripsi. Universitas Hasanuddin,

Asri, M. 2015. Perbandingan Peta Kendali Atribut Dalam Pengendalian Kualitas Produk di PT. Arika Kharisma Agung. Fakultas Matematika dan Ilmu Pengetahuan Alam. Skripsi. Universitas Hasanuddin.

Braun, W. J. 1999. Run Length Distribution For Estimated Attributes Charts. Journal Metrika. 50, pp. 121-129.

Castagliola, P dan Wu, Shu. 2012. Design Of The c And np Charts When The Parameters Are Estimated. Journal IEEE Trans. Asia: World Scientific Publishing Company.

Chakraborti, S dan Human, S.W. 2006. Parameter Estimation And Performance Of The P-Chart For Attributes Data. Journal IEEE Trans. Reliab. 55, pp. 559-566.

Chakraborti, S dan Human, S.W. 2008. Properties and Performance Of The C-Chart For Attributes Data. J. Appl. Stat.

Faizah, H. 2012. Perbandingan Bagan Pengendali Rata-Rata Bergerak dan Bagan Pengendali Rata-Rata Bergerak Geometri. Fakultas Sains dan Teknologi. Skripsi. Universitas Islam Negeri Maulana Malik Ibrahim.

Fitriani, A. 2014. Diagram Kontrol Cumulative Sum Untuk Pengontrolan Proses dengan Model Autoregresive Orde Pertama (AR(1)). Skripsi. Bandung: Universitas Islam Bandung.

Heizer, J dan Render, B. Manajemen Operasi (Edisi Ke-7). Jakarta: Salemba Empat. 2006.

Irwan dan Haryono. 2015. Pengendalian Kualitas Statistik. Edisi Pertama. IKAPI: Alfabeta Bandung.

Lumbono, H. 2007. Pengendalian Kualitas Produksi Garment di PT. Asrindo Indty Raya

dengan Menggunakan Diagram Kontrol p. Fakultas Matematika dan Ilmu Pengetahuan Alam. Skripsi. Universitas Negeri Semarang.

Montgomery, C. D. 1990. Pengantar Pengendalian Kualitas Statistik. Yogyakarta: Gadjah Mada University Press.

Montgomery, C. D. 2009. Statistical Quality Control (6th ed). Asia: John Wiley &Sons (Asia) Pte. Ltd.

Walpole, R. E dan Myers, R.H. 1995. Ilmu Peluang dan Statistika Untuk Insinyur dan Ilmuwan. Edisi ke-4. Bandung: Institut Teknologi Bandung.

Downloads

Published

2020-04-28

How to Cite

Sari, E. R. (2020). Precision Analysis of Poisson Control Chart Based on Sample Size. Jurnal Matematika, Statistika Dan Komputasi, 16(3), 325-336. https://doi.org/10.20956/jmsk.v16i3.6944

Issue

Vol. 16 No. 3 (2020): JMSK, MAY, 2020

Section

Research Articles

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Jurnal Matematika, Statistika dan Komputasi is an Open Access journal, all articles are distributed under the terms of the Creative Commons Attribution License, allowing third parties to copy and redistribute the material in any medium or format, transform, and build upon the material, provided the original work is properly cited and states its license.  This license allows authors and readers to use all articles, data sets, graphics and appendices in data mining applications, search engines, web sites, blogs and other platforms by providing appropriate reference.