Venugopal Haridoss and Kandasamy Subramani
– The purpose of this paper is to present the optimal double sampling attribute plan using the weighted Poisson distribution.
Abstract
Purpose
The purpose of this paper is to present the optimal double sampling attribute plan using the weighted Poisson distribution.
Design/methodology/approach
For the given AQL and LQL, sum of producer’s and consumer’s risks have been attained. Based on the weighted Poisson distribution, the sum of these risks has been optimized.
Findings
In the final inspection, the producer and the consumer represent the same party. So, the sum these two risks should be minimized. In this paper, the sum of risks has been tabulated using the weighted Poisson distribution for different operating ratios. These tabulated values are comparatively less than the sum of risks derived using Poisson distribution.
Originality/value
The sampling plan presented in this paper is particularly useful for testing the quality of finished products in shop floor situations.
Details
Keywords
Kandasamy Subramani and Venugopal Haridoss
The purpose of this paper is to present the single sampling attribute plan for given acceptance quality level (AQL) and limiting quality level (LQL) involving minimum sum of risks…
Abstract
Purpose
The purpose of this paper is to present the single sampling attribute plan for given acceptance quality level (AQL) and limiting quality level (LQL) involving minimum sum of risks using weighted Poisson distribution.
Design/methodology/approach
For the given AQL and LQL, sum of producer's and consumer's risks have been attained. Based on weighted Poisson distribution, the sum of these risks has been arrived at, along with the acceptance number and the rejection number. Also, the operating characteristic function for the single sampling attribute sampling plan, using weighted Poisson distribution, has been derived.
Findings
In the final inspection, the producer and the consumer represent the same party. So, the sum these two risks should be minimized. In this paper, the sum of risks has been tabulated using weighted Poisson distribution for different operating ratios. These tabulated values are comparatively less than the sum of risks derived using Poisson distribution.
Originality/value
The sampling plan presented in this paper is particularly useful for testing the quality of finished products in shop floor situations.