允收抽樣計畫由於其卓越的可調整和實用性，已經被研究了許久，也成熟的被應用在各種實際案例中，例如產品品質檢測、食品安全、污染物量測、生物濃度量測等。本論文會詳細介紹，允收抽樣計畫中兩點式抽樣計畫的設計，也會採用此設計，幫助個案公司找尋最佳抽樣計畫，並且是基於經濟成本的考量之下，包含了檢查成本、內部成本以及外部成本。目的是在符合生產者風險和消費者風險的限制下，找出花費最低廉的抽樣設定(樣本數、允許接受數等)，並且選擇了單次抽樣計畫、重新提交抽樣計畫和雙次抽樣計畫，三種方式作為比較方案。在找出各自最佳設定後，進行經濟及保護力的比較，最後選擇出最適宜的抽樣計畫和抽樣設定。本論文還探討了部分參數，觀察某些參數對總成本的影響，以及這些參數，會不會影響到最佳抽樣方式的選擇。

Acceptance Sampling Plan has been studied for a long time and maturely applied in various real world cases due to its excellent adjustability and practicability, such as product quality inspection, food safety, pollution density measurement, concentration of microorganism test, etc. This paper introduces how to design Acceptance Sampling Plans, especially Two-point Sampling Plan, and applies these sampling plans in the case company. Moreover, the goal of the sampling plans for the case company is to find the optimal sampling plan based on economic design, including inspection costs, internal costs and external costs. Under the restriction of consumer risk and producer risk, the objective is to find the setting (number of samples, allowable number of acceptance, etc.) which have the lowest total cost. We also select single sampling plan, resubmitted sampling plan and double sampling plan as three different ways to compare schemes. After finding the optimal settings of each method, we compare the economic performance and protection of consumers and producers, selecting the most appropriate sampling plan and sampling settings. This thesis also researches some of the parameters, and observes the impact of certain parameters on the total cost, to see whether these parameters affect the choice of the best sampling method.

M. Aslam, M. Azam and C. Jun (2013). "A mixed repetitive sampling plan based on process capability index." Applied Mathematical Modelling, 37(24): 10027-10035.
M. Aslam, C. Yen, C. Chang and C. Jun (2013). "Multiple states repetitive group sampling plans with process loss consideration." Applied Mathematical Modelling, 37(20-21): 9063-9075.
T. Cheng and Y. Chen (2007). "A GA mechanism for optimizing the design of attribute double sampling plan." Automation in Construction, 16(3): 345-353.
J. C. Currens (1999). "A sampling plan for conduit-flow karst springs: minimizing sampling cost and maximizing statistical utility." Engineering Geology, 52: 121-128.
B. P. M. Duarte and P. M. Saraiva (2008). "An optimization-based approach for designing attribute acceptance sampling plans." International Journal of Quality & Reliability Management, 25(8): 824-841.
K. Govindaraju, M. Bebbington and R. Kissling (2018). "Stringent sampling inspection plans using upper envelopes for cell counts." Food Control, 94: 30-37.
K. Govindaraju, and S. Ganesalingam (1997). "Sampling inspection for resubmitted lots." Communications in Statistics - Simulation and Computation, 26(3): 1163-1176.
F. E. Grubbs (1949). "On designing single sampling inspection plans." Mathematical Statistics, 20(2): 242-56.
A. Hald (1967). "The determination of single sampling attribute plans with given producer's and consumer's risk." Technometrics, 9(3): 401-415.
J. Hsu (2009). "Economic design of single sample acceptance sampling plans." Hungkuang Academic Review, 56: 108-122.
F. Liu and L. Cui (2015). "A design of attributes double sampling plans for three-class products." Communications in Statistics - Simulation and Computation, 45(3): 1054-1071.
T. P. McWilliams, E. M. Saniga and D. J. Davis (2001). "On the design of single sample acceptance sampling plans." Economic Quality Control, 16(2).
D. C. Montgomery (2009). Introduction to Statistical Quality Control, 6th Edition, New Jersey: John Wiley & Sons.
D. C. Montgomery, C. L. Jennings and M. E. Pfund (2011). Managing Controlling and Improving Quality, New Jersey: John Wiley & Sons.
A. Mussidaa, U. Gonzales-Barron and F. Butler (2011). "Operating characteristic curves for single, double and multiple fraction defective sampling plans developed for Cronobacter in powder infant formula." Procedia Food Science, 1: 979-986.
E. Santos-Fernández, K. Govindaraju, G. Jones and R. Kissling (2017). "New two-stage sampling inspection plans for bacterial cell counts." Food Control, 73: 503-510.
E. G. Schilling and H. F. Dodge (1969). "Procedures and tables for evaluating dependent mixed acceptance sampling plans." Technometrics, 11(2): 341-372.
R. E. Sherman (1965). "Design and evaluation of a repetitive group sampling plan." Technometrics, 7(1): 11-21.
S. A. Starbird (1994). "The effect of quality assurance policies for processing tomatoes on the demand for pesticides." Agricultural and Resource Economics, 19(1): 78-88.
B. Subramanyam, D. W. Hagstrum, R. L. Meagher, E. C. Burkness, W. D. Hutchison and S. E. Naranjo (1997). "Development and evaluation of sequential sampling plans for cryptolestes ferrugineus(stephens)(coleoptera:cucujidae) infesting farm-stored wheat. " Elsevier Science, 33: 321-329.
F. Wang and S. S. Hailemariam (2018). "Sampling plans for the zero-inflated Poisson distribution in the food industry." Food Control, 85: 359-368.