Independent attributes control chart for Markov-dependent processes |
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Authors: | M P Gadre S B Adnaik |
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Institution: | Department of Statistics, University of Pune, Pune, Maharashtra, India |
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Abstract: | Statistical process monitoring (SPM) is a very efficient tool to maintain and to improve the quality of a product. In many industrial processes, end product has two or more attribute-type quality characteristics. Some of them are independent, but the observations are Markovian dependent. It is essential to develop a control chart for such situations. In this article, we develop an Independent Attributes Control Chart for Markov Dependent Processes based on error probabilities criterion under the assumption of one-step Markov dependency. Implementation of the chart is similar to that of Shewhart-type chart. Performance of the chart has been studied using probability of detecting shift criterion. A procedure to identify the attribute(s) responsible for out-of-control status of the process is given. |
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Keywords: | Consumer's risk Error probabilities Markov chain Producer's risk Sampling lag Transition probability matrix |
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