Inspection capacity index (ICI)—a sampling scheme measure of quality inspection of surveying and mapping products

doi:10.11947/j.AGCS.2025.20230443

Abstract

Abstract:

Based on the theory of the acceptance probability of cumulative hyper-geometric distribution, the paper analyzes the essence of the consistency problem of sampling plan series and proposes the concept of inspection capacity (IC) for sampling inspection by defining inspection capacity index (ICI) function with acceptance probability and logarithm of lot size, which provides a method to evaluate quantity indicators of sampling plan. Based on the actual application of quality inspection of surveying and mapping products and operating characteristic (OC) curves method, an approach, called inspection characteristic (ICC) curve, was developed to analyze the differences between two sampling plans. The numerical results of 7 typical sampling plans show that the ICI value can better reflect overall characteristics of sampling plan. The ICC analyzing results indicate the consistency prior AQL interval of the 7 typical sampling plans should be 0.3%~1.0%, and the optimal AQL value is 0.6%. It is not only significant for the theoretical analysis of the prior quality level that the surveying and mapping products needed, but also for the management of smart surveying and the multi-sourced geo-information data's quality and reliability analyzing.

Key words: sampling inspection, accept probability, inspection capacity index, surveying and mapping products

CLC Number:

P207

Yanhui CAI, Pengfei CHENG, Li ZHANG. Inspection capacity index (ICI)—a sampling scheme measure of quality inspection of surveying and mapping products[J]. Acta Geodaetica et Cartographica Sinica, 2025, 54(3): 473-480.

Figures/Tables 10

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批量	样本量	接受质量限AQL
批量	样本量	0.10%	0.30%	0.50%	1.00%	2.00%
200	15	0.985 1	0.955 9	0.927 6	0.860 1	0.738 6
232	17	0.983 1	0.950 2	0.918 3	0.842 9	0.709 3
283	20	0.980 2	0.941 7	0.904 6	0.817 9	0.667 6
362	24	0.976 3	0.930 4	0.886 7	0.785 7	0.615 8
487	30	0.970 4	0.913 8	0.860 4	0.739 7	0.545 5
686	40	0.960 8	0.886 8	0.818 3	0.669 0	0.445 7
1000	56	0.945 5	0.845 1	0.755 3	0.569 6	0.322 6

批量	样本量	接受质量限AQL
		0.10%		0.30%		0.50%		1.00%
		L（p）	ICI	L（p）	ICI	L（p）	ICI	L（p）	ICI
200	15	0.985	2.267	0.956	2.200	0.928	2.134	0.860	1.979
232	17	0.983	2.326	0.950	2.248	0.918	2.172	0.843	1.994
283	20	0.980	2.403	0.942	2.309	0.905	2.218	0.818	2.005
362	24	0.976	2.498	0.930	2.381	0.887	2.269	0.786	2.010
487	30	0.970	2.608	0.914	2.456	0.860	2.312	0.740	1.988
686	40	0.961	2.725	0.887	2.515	0.818	2.321	0.669	1.897
1000	56	0.946	2.837	0.845	2.535	0.755	2.266	0.570	1.709