驗收抽樣計畫為品質管理應用領域一項實用的工具，可提供生產者與消費者判定貨批品質水準是否滿足要求之決策準則。依據檢驗所取得之資料型態可將驗收抽樣計畫區分為「計數型（Attributes）」及「計量型（Variables）」。計數型驗收抽樣計畫檢驗乃將產品檢驗結果以不合格或不良數量方式呈現，但是，當送驗貨批品質水準極高時，計數型驗收抽樣計畫將不再適用；計量型驗收抽樣計畫優點主要（1）可提供較多送驗貨批品質特性之訊息（如：壽命或重量等）；（2）可適用於送驗貨批良率極高之檢驗；（3）可適用於破壞性檢驗或檢驗成本較高之產品，因為其相對於計數型驗收抽樣計畫可抽取較少樣本進行檢驗，即可達到相同檢驗效率。
文獻上已有許多學者應用各種不同抽樣檢驗策略發展出驗收抽樣計畫，例如重複群集驗收抽樣計畫（Repetitive Group Sampling Plan, RGSP）及連鎖抽樣計畫（Chain Sampling Plan, ChSP）。RGSP優點在於具簡易的操作流程，但此驗收抽樣計畫於判斷送驗貨批應接受或拒絕時，並未考量先前送驗產品之檢驗結果，以至於可能降低檢驗效率，而ChSP則在判定貨批時會考量過去送驗產品之檢驗結果，進而可提高其檢驗效率，唯目前計量型ChSP之研究尚未完整。
因此，本研究首先利用製程能力指標 發展一計量型連鎖驗收抽樣計畫。再者，修正RGSP未考量先前送驗產品檢驗結果之缺點，結合ChSP概念並以指標 為基礎發展新式計量型驗收抽樣計畫。最後，本研究於文中求解及彙整多種「品質水準」與「風險要求」組合之計畫參數值，並比較分析及探討本研究所提出兩計量型驗收抽樣計畫與已存在計量型驗收抽樣計畫之差異，進而呈現本研究之貢獻。

Acceptance sampling plans are practical tools for quality management applications and provide the producer and the consumer a general rule for lot sentencing to meet their requirements of product quality. There are several ways to classify acceptance sampling plans. One major classification is by attributes and variables, but attributes acceptance sampling plans no longer work since any sample of reasonable size probably contains no defective product items. However, variables acceptance sampling plans not only overcome the inconvenience of attributes acceptance sampling plans, but also have the same protection as attributes acceptance sampling plans would require less sampling.
Several acceptance sampling plans have been developing by using different strategies, for example, repetitive group sampling plan (RGSP) and chain sampling plan (ChSP). RGSP is similar to that of the sequential sampling plan but it does not combine all the available information from the collected samples and might reduce the efficiency of inspection. ChSP considers the states of the preceding lots and can provide better efficiency of inspection, but the investigations of ChSP for variables were not completed.
In this thesis, we first develop a variables chain sampling plan based on the most commonly capability index . Then, we further modify the RGSP by considering the concept of ChSP to develop a new sampling plan, called chain repetitive group sampling plan based on the index . Finally, we not only tabulate the plan parameters for various required quality levels and allowable risks are provided for practical applications, but also discuss the advantages of the proposed variables plans over than existing variables sampling plans.

1. Anscombe, F. J., Godwin, H. J. and Plackett, R. L. (1947). Methods of deferred sentencing in testing the fraction defective of a continuous output. Supplement to the Journal of the Royal Statistical Society, Vol. 9, pp. 198–217.
2. Balamurali, S. and Jun, C. H. (2007). Multiple dependent state sampling plans for lot acceptance based on measurement data. European Journal of Operational Research, Vol. 180, pp. 1221–1230.
3. Balamurali, S., Park, H., Jun, C. H., Kim, K. J. and Lee, J. (2005). Designing of variables repetitive group sampling plan involving minimum average sample number. Communication in Statistics: Simulation and Computation, Vol. 34, no. 3, pp. 799-809.
4. Dodge, H. F. (1943). A sampling plan for continuous production. Annals of Mathematical Statistics, Vol. 14, no. 3, pp. 264–279.
5. Dodge, H. F. (1955). Chain sampling inspection plan. Industrial Quality Control, Vol. 11, pp.10–13 (originally presented on the program of the Annual Middle Atlantic Regional Conference, American Society for Quality Control, Baltimore, MD, February 5, 1954; also reproduced in Journal of Quality Technology, Vol. 9, no. 3, pp. 139-142, 1997).
6. Dodge, H. F. (1956). Skip-lot sampling plan. Industrial Quality Control, Vol. 11, pp. 3–5.
7. Dodge, H. F. (1967). A new dual system of acceptance sampling. Technical Report, no. 16.
8. Dodge, H. F. and Romig, H. G. (1929). A method of sampling inspection. The Bell System Technical Journal, Vol. 8, no. 10, pp. 613–631.
9. Frishman, F. (1960). An extended chain sampling inspection plan. Industrial Quality Control, Vol. 17, pp. 10–12.
10. Govindaraju, K. and Ganesalingam, S. (1997). Sampling inspection for resubmitted lots. Communications in Statistics: Simulation and Computation, Vol. 26, no. 3, pp. 1163–1176.
11. Govindaraju, K. and Lai, C. D. (1998). Statistical design of control schemes for low fraction nonconforming. Quality Engineering, Vol. 11, pp. 15–19.
12. Guenther, W. C. (1969). Use of the binomial, hypergeometric, and poisson tables to obtain sampling plans. Journal of Quality Technology, Vol. 1, no. 2, pp. 105–109.
13. Hailey, W. A. (1980). Computer programs: minimum sample size single sampling plans: a computerized approach. Journal of Quality Technology, Vol. 12, no. 4, pp. 230–235.
14. Montgomery, D. C. (2009). Introduction to Statistical Quality Control (6th Edition). Wiley, New York.
15. Owen, D. B. (1967). Variables sampling plans based on the normal distribution. Technometrics, Vol. 9, pp. 417–423.
16. Pearn, W. L. and Wu, C. W. (2006). Critical acceptance values and sample sizes of a variables sampling plan for very low fraction of defective. Omega, Vol. 34, pp. 90–101.
17. Pearn, W. L. and Wu, C. W. (2007). An effective decision making method for product acceptance, Omega, Vol. 35, pp. 12–21.
18. Schilling, E. G. and Neubauer, D. V. (2008). Acceptance Sampling in Quality Control (2nd Edition). Marcel Dekker Inc., New York.
19. Seidel, W. (1997). Is sampling by variables worse than sampling by attributes? A decision theoretic analysis and a new mixed strategy for inspecting individual lots. Sankhya: The Indian Journal of Statistics, Vol. 59, no. 1, pp. 96–107.
20. Sherman, R. E. (1965). Design and evaluation of repetitive group sampling plan. Technometrics, Vol. 7, no. 1, pp. 11–21.
21. Wald, A. (1947). Sequential Analysis. John Wiley & Sons, New York.
22. Wortham, A. W. and Baker, R. C. (1976). Multiple deferred state sampling inspection. International Journal of Production Research, Vol. 14, pp. 719–731.
23. Wortham, A. W. and Mogg, J. M. (1970). Dependent stage sampling inspection. International Journal of Production Research, Vol. 8, pp. 385–395.
24. Wu, C.W., Aslam, M., Chen, J. C. and Jun, C. H. (2014). A repetitive group sampling plan by variables inspection for product acceptance determination. European Journal of Industrial Engineering. Accepted
25. Wu, C.W., Aslam, M. and Jun, C.H. (2012). Variables sampling inspection scheme for resubmitted lots based on the process capability index . European Journal of Operational Research, Vol. 217, pp. 560–566.