Development of Optimal Stopping Rules for Sequential Sampling Plan

• Main Authors: Shiau-Ping Yu, 余曉萍
• Other Authors: Jeh-Nan Pan
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/74935312944624766199

碩士 === 國立成功大學 === 統計學系碩博士班 === 95 === During the in-coming and/or outgoing inspection of the industrial products, the decision of accepting or rejecting a lot is made according to the inspection/testing results for the key characteristics of sample units. Additional costs including labor and material costs as well as the loss of mis-judgement usually occur when applying Wald's sequential sampling plan to the destructive testing. Normally, previous stopping rules for Wald's sequential sampling plan are empirically determined based on rules of thumb. Practical and unable to decide whether the sample number for terminating inspection/testing is economical or not . In order to effectively reduce the average sample number of sequential sampling plan, the upper limit of the sample number is specified first, then the optimal stopping rules is determined based on this specified sample number . Finally, a total cost function is established to assess the total loss of the proposed sequential sampling plan . The results show that the optimal stopping rule for our proposed sequential sampling plan can effectively reduce the average sample number and thus achieve a minimum total loss under the reasonable type Ι and Ⅱ errors.