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### 基于平方秩和的变点控制图的生产提前期控制研究

1. 福建农林大学经济管理学院, 福州 350002
• 出版日期:2018-04-25 发布日期:2021-06-29

ZHONG Jianlan , JIANG Tian , ZHAO Hongwei. A Change Point Control Chart for Monitoring the Production Lead Time Based on Sum of Squared Ranks[J]. Journal of Systems Science and Mathematical Sciences, 2021, 41(4): 1079-1090.

### A Change Point Control Chart for Monitoring the Production Lead Time Based on Sum of Squared Ranks

ZHONG Jianlan ,JIANG Tian , ZHAO Hongwei

1. School of Economics and Management, Fujian Agriculture and Forestry University, Fuzhou 350002
• Online:2018-04-25 Published:2021-06-29

A serial-parallel system be viewed as an $M/G/m$ queuing system, a change point control chart based on sum of squared ranks is designed with production lead time as monitor object, for the case of uncertain probability distribution of service time. Firstly, taking sojourn time of the order at one stage as the state variable, the system is modeled by the state space equation, and the influence of the deviation of the mean sojourn time in current stage on the downstream stages is analyzed. Secondly, the average sojourn time is calculated, and the distribution function of the sojourn time is estimated based on the LS transform. Again, a change point control chart is designed based on the sum of squared ranks; and the Monte Carlo simulation is used to obtain the appropriate control limit. Finally, the average running length, the accuracy of the change point estimation and the out-of-control process estimation are used as the evaluation criteria, and the simulation analysis is used to evaluate the monitoring performance of the change point control chart. The results show the change point control chart can effectively detect the mean shift of lead time, and accurately estimate the change point and its out-of-control stage. Its effect is more robust for four studied distribution. In addition, by comparing with the weighted standard deviation control chart, the results indicate that the proposed change point control chart has better monitoring performance.
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