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In this article, a modified continuous sampling of type Ii is provided for finite production runs. The suggested sampling plan revises the continuous sampling plan-2 of Yang (1983). The proposed plan places no predetermined limit ...
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In this article, a modified continuous sampling of type Ii is provided for finite production runs. The suggested sampling plan revises the continuous sampling plan-2 of Yang (1983). The proposed plan places no predetermined limit on the number of items to be inspected until the second defect is detected when in partial inspection mode. A similar derivation to that of yang is used to find an approximation to the average outgoing quality of the Modified continuous sampling plan-2 in finite production runs. Some tables are provided to aid in the selection of The clearance number and sampling fraction when the production run length and an average outgoing quality limit Are given.
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Designing of acceptance sampling plans based on operating characteristics fail to prescribe the corrective action for rejected lots although they guarantee the producer's and the consumer's protection at their corresponding qualit...
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Designing of acceptance sampling plans based on operating characteristics fail to prescribe the corrective action for rejected lots although they guarantee the producer's and the consumer's protection at their corresponding quality levels. But, rectification sampling inspection plan suggests 100% inspection for rejected lots and hence, the producer's risk is reduced and also there is a guarantee to the consumer by restricting upper limit of the maximum expected proportion of non-conforming of the shipping lot. Although the variables single sampling plan for rectifying inspection is available, variables double sampling inspection plan under rectifying inspection has not yet been designed. Hence, in this paper, we design a variables double sampling plan for rectifying inspection indexed by acceptable quality level and average outgoing quality limit to meet the needs of the producer as well as the consumer. A non-linear optimization problem is developed to determine the optimal parameters with minimum average sample number at acceptable quality level for both cases of standard deviation are known and unknown. We investigate the validation and limitation of the proposed plan through the simulation study and industrial application of the proposed plan is also given. It can be confirmed from the investigations on the results that in many situations, variables double sampling plan designed under rectifying inspection is more economical than variables single sampling plan designed with the same conditions in providing the same protection to consumer.
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Dodge (1943) introduced a single level attribute continuous sampling plan designated as CSP-1 for the application of continuous production processes. Lieberman and Solomon (1955) developed multi-level (MLP) continuous sampling pla...
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Dodge (1943) introduced a single level attribute continuous sampling plan designated as CSP-1 for the application of continuous production processes. Lieberman and Solomon (1955) developed multi-level (MLP) continuous sampling plans. In this paper, we restrict our discussion to MLP plans with two sampling levels, which plan is designated as MLP-2 plan. Using a Markov chain model, expressions for the performance measures of MLP-2 plan are derived. Tables are also presented for the selection of MLP-2 plan when the AQL or LQL and AOQL are specified.
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A simple method of controlling average outgoing quality is discussed. It is based on a straightforward definition of credit and proved to be valid under a quite tractable condition. The special case of acceptance sampling by attri...
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A simple method of controlling average outgoing quality is discussed. It is based on a straightforward definition of credit and proved to be valid under a quite tractable condition. The special case of acceptance sampling by attributes is studied in detail.
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Quality assurance is an integrated part of any calibration facility. The calibration facility as well as its customers are interested in the facility production outgoing quality. In most calibration labs the inspection of calibrat...
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Quality assurance is an integrated part of any calibration facility. The calibration facility as well as its customers are interested in the facility production outgoing quality. In most calibration labs the inspection of calibrated items is performed according to a suitable sampling inspection policy. Some of these policies are very good in assuring the quality of the calibration services they offer, but do not provide a clear assessment of the outgoing quality of the entire production of the facility. This paper has developed two methods of calculating the average outgoing quality (AOQ) of a calibration lab that uses a multistage sampling inspection policy. The policy structure is presented first along with the exact procedure of how to perform it by the inspectors and the methods to calculate the AOQ. The two methods differ from each another in the type of data required to calculate the AOQ. The first method requires the technicians' production, the number of items subject to inspections and the number of failing items found. The second method requires only the number of technicians at each level of the multistage inspection policy. The verifications of the performances of two methods are accomplished by building a simulation model on an Excel worksheet. The model simulates the calibration facility with the right parameters, and then compares the two methods with the actual AOQ. The paper further discusses the advantages and disadvantages of each method in a broader context of quality assurance.
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This article provides a new procedure for selection of three-stage Chain sampling plan of type ChSP (0, 1, 2) indexed with AQL and AOQL. Tables and Procedures are also provided for the selection of plan with AQL and AOQL. Illustra...
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This article provides a new procedure for selection of three-stage Chain sampling plan of type ChSP (0, 1, 2) indexed with AQL and AOQL. Tables and Procedures are also provided for the selection of plan with AQL and AOQL. Illustrations are also provided for the ready-made shop floor situations. Soundararajan and Raju (1984) outlines the structure of the generalized family of Three-Stage chain Sampling Plan, extending the concepts proposed by Dodge (1955) and Dodge and Stephens (1966). Expressions are also derived for operating characteristic (OC) curves for several sets of three-stage Chain Sampling Plans, with cumulative acceptance numbers of (c_1, c_2,c_3) = (0, 1,2), (0, 1, 3), (0, 2, 3), (1, 2, 3), etc., respectively. Dodge (1955) has considered only acceptance numbers of 0 and 1 with a more limited rule of cumulation. Soundararajan and Raju (1984) has also given the OC curves for a number of plans and comparisons are made with some single sampling plan and two-stage chain Sampling Plans.
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The paper refers to the AOQL (Average Outgoing Quality Limit) single sampling plans when the remainder of the rejected lots is inspected. These rectifying AOQL plans for inspection by variables were created by the author of this p...
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The paper refers to the AOQL (Average Outgoing Quality Limit) single sampling plans when the remainder of the rejected lots is inspected. These rectifying AOQL plans for inspection by variables were created by the author of this paper and published in the Statistical Papers. These new plans were compared with the corresponding Dodge-Romig AOQL plans for inspection by attributes from the economic point of view. Numerical investigations confirm that under the same protection of consumer, the AOQL plans for inspection by variables are in many situations more economical than the corresponding Dodge-Romig AOQL attribute sampling plans. The dependence of the saving of the inspection cost on the input parameters of acceptance sampling (the average outgoing quality limit, the lot size and the process average proportion defective) is analysed in the paper. Moreover, a criterion for deciding if the inspection by variables should be considered instead of the inspection by attributes is suggested in the paper.
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The sampling plan CSP - T is a multilevel continuous sampling procedure that reduces the sampling frequency upon demonstration of superior product quality. In this paper a procedure for constructing Continuous Sampling Plan-T (CSP...
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The sampling plan CSP - T is a multilevel continuous sampling procedure that reduces the sampling frequency upon demonstration of superior product quality. In this paper a procedure for constructing Continuous Sampling Plan-T (CSP-T) indexed through the Convex Combination of Average Outgoing Quality Limit (AOQL) and Maximum Allowable Average Outgoing Quality (MAAOQ) is presented. This plan may safeguard the interests of both producer as well as consumer by properly choosing a right combination using the gain parameter λ. A table is also provided for the easy selection of the plan when λ = 0.3, λ = 0.6 and MAPD = 0.0025.
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In skip-lot sampling plans, provision is made for skipping inspection of some of the lots when the quality of the submitted product is good. This paper presents selection of skip-lot sampling plans of type SkSP-3 which use chain s...
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In skip-lot sampling plans, provision is made for skipping inspection of some of the lots when the quality of the submitted product is good. This paper presents selection of skip-lot sampling plans of type SkSP-3 which use chain sampling plan (ChSP-1) as reference plan through AOQL and MAAOQ quality levels.
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According to Sherman (1965), under Repetitive Group Sampling Plan (RGS), the number of defectives are counted, and then, according to a fixed criterion, the lot is either accepted, rejected, or the sample is completely disregarded...
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According to Sherman (1965), under Repetitive Group Sampling Plan (RGS), the number of defectives are counted, and then, according to a fixed criterion, the lot is either accepted, rejected, or the sample is completely disregarded, and begin over again with a new sample. This is continued until the fixed criterion tells either to accept or reject the lot. One should not even keep track of how many times a sample is repeated. Bayesian Sampling Plan is that experiment or analytical study which can yield prior frequency distribution for the quality of the submitted lots and these 'prior' distributions can in turn be used to derive lot-by-lot sampling plans. In this paper, Selection of Bayesian RGS plan is provided through various set of outgoing quality levels. The average probability of Acceptance function and the formula for overall average outgoing quality level for Bayesian Repetitive Group Sampling Plan are derived and tables are given.
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