Abstract
In this paper, a t-control chart based on modified multiple dependent state sampling is proposed for monitoring processes that assume time between events following exponential distribution. The chart has double control limits and employs information from a previous sample and the current sample. The control chart coefficient “constants” are estimated by considering different values of the in-control average run lengths. The detection ability of the proposed control chart is found to be better than that of control charts based on multiple dependent state sampling in terms of average run lengths and the standard deviation of run lengths and better than generalized multiple dependent state sampling in terms of average run lengths. Case studies with real data are included as illustrative examples for the implementation of the proposed chart.
Highlights
In this era of business globalization, organizations tend to adjust their strategies and tendencies to allow them to succeed and remain ahead of rivals and to expand into new markets. us, ensuring the effectiveness and efficiency of the products or services they provide should boost customer satisfaction and build loyalty
Yan et al [20] developed an MDS sampling scheme based on a coefficient of variation of normally distributed quality characteristics and showed the superiority of the proposed plan over the single sampling plan. e form of MDS is generalized by Aslam et al [21, 22] to generalize multiple dependent state sampling (GMDS) for the application of variable and attribute quality characteristics
To measure the performance of any control chart, average run length (ARL) is used as a sole measure or is combined with other measures [24]. e ARL is the number of in-control observations, on average, before a change in process level or an out-of-control observation is indicated [25]
Summary
In this era of business globalization, organizations tend to adjust their strategies and tendencies to allow them to succeed and remain ahead of rivals and to expand into new markets. us, ensuring the effectiveness and efficiency of the products or services they provide should boost customer satisfaction and build loyalty. A Shewhart control chart based on a single sampling scheme assumes a large average run length (ARL) and involves a delay in indicating when a process will be out-of-control. Yan et al [20] developed an MDS sampling scheme based on a coefficient of variation of normally distributed quality characteristics and showed the superiority of the proposed plan over the single sampling plan. MDS and GMDS are conditional sampling schemes that use information from the current and previous subgroups to make decisions about the state of the process. The modified multiple dependent state (MMDS) sampling scheme uses information from the current and previous subgroups to make decisions about the state of the process in a more flexible manner, as illustrated .
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