Designing a two-rank acceptance sampling plan for quality inspection of geospatial data products

  • Authors:
  • Xiaohua Tong;Zhenhua Wang;Huan Xie;Dan Liang;Zuoqin Jiang;Jinchao Li;Jun Li

  • Affiliations:
  • Department of Surveying and Geo-informatics and Key Laboratory of Modern Engineering Surveying of State Bureau of Surveying and Mapping, Tongji University, 1239 Siping Road, Shanghai 200092, Peopl ...;Department of Surveying and Geo-informatics and Key Laboratory of Modern Engineering Surveying of State Bureau of Surveying and Mapping, Tongji University, 1239 Siping Road, Shanghai 200092, Peopl ...;Department of Surveying and Geo-informatics and Key Laboratory of Modern Engineering Surveying of State Bureau of Surveying and Mapping, Tongji University, 1239 Siping Road, Shanghai 200092, Peopl ...;Department of Surveying and Geo-informatics and Key Laboratory of Modern Engineering Surveying of State Bureau of Surveying and Mapping, Tongji University, 1239 Siping Road, Shanghai 200092, Peopl ...;Development and Research Center of China Geological Survey, China Geological Survey, 45 Fuwai Street, Beijing 100037, People's Republic of China;Development and Research Center of China Geological Survey, China Geological Survey, 45 Fuwai Street, Beijing 100037, People's Republic of China;Development and Research Center of China Geological Survey, China Geological Survey, 45 Fuwai Street, Beijing 100037, People's Republic of China

  • Venue:
  • Computers & Geosciences
  • Year:
  • 2011

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Abstract

To address the disadvantages of classical sampling plans designed for traditional industrial products, we originally propose a two-rank acceptance sampling plan (TRASP) for the inspection of geospatial data outputs based on the acceptance quality level (AQL). The first rank sampling plan is to inspect the lot consisting of map sheets, and the second is to inspect the lot consisting of features in an individual map sheet. The TRASP design is formulated as an optimization problem with respect to sample size and acceptance number, which covers two lot size cases. The first case is for a small lot size with nonconformities being modeled by a hypergeometric distribution function, and the second is for a larger lot size with nonconformities being modeled by a Poisson distribution function. The proposed TRASP is illustrated through two empirical case studies. Our analysis demonstrates that: (1) the proposed TRASP provides a general approach for quality inspection of geospatial data outputs consisting of non-uniform items and (2) the proposed acceptance sampling plan based on TRASP performs better than other classical sampling plans. It overcomes the drawbacks of percent sampling, i.e., ''strictness for large lot size, toleration for small lot size,'' and those of a national standard used specifically for industrial outputs, i.e., ''lots with different sizes corresponding to the same sampling plan.''