Selection of modified quick switching systems for given acceptable and limiting quality levels with minimum risks using weighted poisson distribution

Abstract

Since the first acceptance sampling plans have been developed 80 years ago, a number of selection principles have emerged. The majority of these principles are characterized by the fact that they look upon producer and consumer as two opposing parties. However, in many occasions, e.g., in final inspection, producer and consumer represent the same party and, therefore, the used sampling plan should not make an attempt to discriminate between their interests. In this case the interest is to avoid wrong decisions, i.e., reject product of sufficient quality and accept product of insufficient quality. Thus, the natural objective in these cases is to use overall risk for a wrong decision as optimization criteria. In this paper, a table and procedure are given for finding the Modified Quick Switching Systems − ( ; , ) involving minimum sum of producer's and consumer's risks for specified Acceptable Quality Level and Limiting Quality Level using weighted Poisson distribution.

Constructing Optimal Quick Switching System with Hurdle Poisson Distribution

“…According to the results shown in Table 4, the Hurdle-Poisson distribution reduced the sum of risks compared to the weighted Poisson distribution (2) of the QSS-2 plan.…”

“…To select a modified QSS -m system (m = 2, 3, and 4) for specified p 1 ,p 2 , and apply the weighted Poisson distribution tables from (2) . The tables offered here are based on the Hurdle-Poisson distribution under the explicit assuming p 2 / p 1 values and provide the parameters with the associated producer and consumer risks to the extent that their sum is smaller than QSS -m(n; C N ,C T ) designed by (2) . Example 2.…”

“…The comparison of QSS-2 is carried out with the aid of Table 3 from (2) , which lists the values for different operating ratios: In Figure 1, the OC curve of the QSS−2 plan (Hurdle Poisson Model) is compared with the corresponding OC curve for the QSS−2 plan of (Weighted Poisson Model).…”

“…The weighted Poisson distribution, tables and techniques are provided for determining the QSS m (n; C N , C T ) system, which includes the minimized sum of risks for a given AQL and LQL (2) . A type-1 Bayesian QSS under the Gamma Zero Inflated Poisson distribution condition was developed by (3) .…”

Sampling Inspection Plan to Test Daily COVID-19 Cases Using Gamma Distribution under Indeterminacy Based on Multiple Dependent Scheme

“…The methodology of the MDS sampling plan was pioneered by [7], and it is based on the attribute assessment procedure, which is based on one out of three situations, namely, acceptance of the lot, rejection of the lot, or the conditional acceptance or rejection of the lot based on the character of future related lots. Subsequently, several authors studied MDS sampling designs on various distributions, such as [8][9][10][11][12][13][14][15][16][17][18].…”