A Double Sampling Plan for the Zero-Inflated Poisson Distribution in the Food Industry

• Main Author: Rizki Aviandri Suharto
• Other Authors: Fu-Kwun Wang
• Format: Others
• Language: en_US
• Published: 2017
• Online Access: http://ndltd.ncl.edu.tw/handle/93k37m

碩士 === 國立臺灣科技大學 === 工業管理系 === 105 === Implementing appropriate sampling plan is an important task to protect consumers from pathogenic microorganisms in the food industry. In this study, we develop a double sampling plan (DSP) for the zero-inflated Poisson distribution as an alternative sampling plan. This research provides R-code to determine the plan parameters such as the number of sample size, the acceptance number, and the rejection number on the first stage (n_1, c_1, and r_1), and the number of the sample size and the acceptance number on the second stage (n_2 and c_2). The DSP performs better than the single sampling plan (SSP) in terms of average sample size (ASN) and total risk with the same level quality, acceptable quality level (AQL) and lot of tolerance percent defective (LTPD). Simulated data with various set of given mixing proportion (φ) and specified values (p_1,α,p_2,β) are used to illustrate the applications.