A Two-Sided Cumulative Sum Chart for First-Order Integer-Valued Autoregressive Processes of Poisson Counts

Date

2013-02-01

Author

Yontay, Petek
Weiss, Christian H.
TESTİK, MURAT CANER
Bayındır, Zeynep Pelin

Metadata

Show full item record

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

Item Usage Stats

93
views

0
downloads

Count data processes are often encountered in manufacturing and service industries. To describe the autocorrelation structure of such processes, a Poisson integer-valued autoregressive model of order 1, namely, Poisson INAR(1) model, might be used. In this study, we propose a two-sided cumulative sum control chart for monitoring Poisson INAR(1) processes with the aim of detecting changes in the process mean in both positive and negative directions. A trivariate Markov chain approach is developed for exact evaluation of the ARL performance of the chart in addition to a computationally efficient approximation based on bivariate Markov chains. The design of the chart for an ARL-unbiased performance and the analyses of the out-of-control performances are discussed. Copyright (C) 2012 John Wiley & Sons, Ltd.

Subject Keywords

Autocorrelated counts, CUSUM control chart, Markov chains approach, Poisson INAR(1) model, Statistical process control

URI

https://hdl.handle.net/11511/46470

Journal

QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL

DOI

https://doi.org/10.1002/qre.1289

Collections

Department of Industrial Engineering, Article

Suggestions

OpenMETU
Core

A two-sided cusum for first-order integer-valued autoregressive processes of poisson counts Yontay, Petek; Bayındır, Zeynep Pelin; Testik, Murat Caner; Department of Industrial Engineering (2011) Count data are often encountered in manufacturing and service industries due to ease of data collection. These counts can be useful in process monitoring to detect shifts of a process from an in-control state to various out-of-control states. It is usually assumed that the observations are independent and identically distributed. However, in practice, observations may be autocorrelated and this may adversely affect the performance of the control charts developed under the assumption of independence. In this...
An interactive approach for multi-attribute auctions Karakaya, Gülşah (Elsevier BV, 2011-05-01) Auction processes are commonly employed in many environments. With rapid advances in Internet and computing technologies, electronic auctions have become very popular. People sell and buy a wide range of goods and services online. There is a growing need for the proper management of online auctions and for providing support to parties involved. In this paper, we develop an interactive approach supporting both the buyer and the bidders in a multi-attribute, single-item, multi-round, reverse auction environme...
Extracting Connection Types in Process Models Discovered by Using From-to Chart Based Approach Esgin, Eren; Karagöz, Pınar (2011-07-01) Although contemporary information systems are intensively utilized in enterprises, their actual impact in automating complex business process is still constrained by the difficulties coincided in design phase. In this study, a hybrid data analysis methodology to business process modeling that is based on using from-to chart is further enhanced to discover connection types and include in the process model. From-to chart is basically used as the front-end to figure out the observed transitions among the activ...
A metadata repository model to integrate heterogeneous databases of hardware dependent legacy systems Tümay, Ahmet; Dinçer, Kivanç; Yürekten, Özgür; Sungur, Müberra; Dikici, Ahmet; Tambaǧ, Yusuf (2006-01-01) In a large modern enterprise, it is almost inevitable that different parts of an organization use different systems to produce, store, and search their critical data. In addition, the maintenance of heterogeneous database systems is becoming an overhead and a big problem for companies. Meanwhile, it is only achieved by combining the information from these various systems so that the enterprise can use the combined value of the data they contain. One way to solve this problem is to replace the legacy applica...
A lessons-learned tool for organizational learning in construction Eken, Görkem; Dikmen Toker, İrem; Birgönül, Mustafa Talat (Elsevier BV, 2020-02-01) Organizational learning has been identified as a core competency for project-based companies with industry specific challenges. In this study, it is hypothesized that a web-based lessons learned management system may help construction companies to manage lessons learned effectively. A lessons learned management process model (LLMPM) was proposed for capturing and transferring knowledge across projects. Expert review meetings with participants from both academia and private sector were carried out to develop...

Citation Formats

P. Yontay, C. H. Weiss, M. C. TESTİK, and Z. P. Bayındır, “A Two-Sided Cumulative Sum Chart for First-Order Integer-Valued Autoregressive Processes of Poisson Counts,” QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, pp. 33–42, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46470.