Work

A Control Chart for Gamma Distribution using Multiple Dependent State Sampling

Year: 2017

Type: article

Abstract: In this article, a control chart based on multiple dependent (or deferred) state sampling for the gamma distributed quality characteristic is proposed using the gamma to normal transformation. The proposed control chart has two pairs of control limits, which can be determined by considering the in-control average run length (ARL). The shift in the scale parameter of a gamma distribution is considered and the out-of-control ARL is evaluated. The performance of the proposed chart has been shown for different levels of the parameters of the proposed control chart. It is also shown that the proposed chart is better than the Shewhart chart in terms of ARLs. A case study with a real data has been included for the practical usage of the proposed scheme.

Source: Industrial Engineering & Management Systems

DOI: 10.7232/iems.2017.16.1.109

Authors: Muhammad Aslam, Osama-H. Arif, Chi-Hyuck Jun

Institutions: King Abdulaziz University, Pohang University of Science and Technology

Language: English

Topic: Advanced Statistical Process Monitoring

Subfield: Statistics, Probability and Uncertainty

Field: Decision Sciences

Domain: Social Sciences

Open Access status: bronze

Funders: Ministry of Oceans and Fisheries, King Abdulaziz University

OpenAlex ID: W2697716699