Economic Design of Acceptance Sampling Plans in a Two-Stage Supply Chain

Abstract

Supply Chain Management, which is concerned with material and information flows between facilities and the final customers, has been considered the most popular operations strategy for improving organizational competitiveness nowadays. With the advanced development of computer technology, it is getting easier to derive an acceptance sampling plan satisfying both the producer's and consumer's quality and risk requirements. However, all the available QC tables and computer software determine the sampling plan on a noneconomic basis. In this paper, we design an economic model to determine the optimal sampling plan in a two-stage supply chain that minimizes the producer's and the consumer's total quality cost while satisfying both the producer's and consumer's quality and risk requirements. Numerical examples show that the optimal sampling plan is quite sensitive to the producer's product quality. The product's inspection, internal failure, and postsale failure costs also have an effect on the optimal sampling plan.

Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions

“…Hence, we consider the economic designing of the proposed sampling plan in this section. Some of the performance measures of the proposed plan are used in this economic designing, which are P a (p), the probability of acceptance, and the average total inspection (ATI) (see [28]). ATI is defined as follows:…”

“…Under this situation, the sampling plans are designed for the specified value of p or it is estimated using Bayesian approach. For example, [28] discussed the economic designing of SSP for specified values of p. Aslam et al [15] investigated the group acceptance sampling plans with the economic aspect in which the value of p has been estimated using the Bayesian approach. In this designing, we define p as the failure probability corresponding to the average mean ratios of AQL and LQL.…”

“…8. e optimal parameters are determined for specified values of a � 0.5, δ � 2, and lot size N � 1000 and C i � 1.0, C f � 2.0, and C o � 10 as used by [28]. In general, the probabilities of failure corresponding to the mean ratios µ/µ 0 � 2, 4, 6, 8, 10 are considered as AQL and the probability of failure at the ratio µ/µ 0 � 1 is taken as LQL.…”

Economic Designing of Modified Chain Sampling Plan under Weibull Distribution using Bayesian Approach

“…In general, the value of p involved in equations (9 -12) is unknown. The economic designing of SSP for specified values of p was proposed by [11]. The group acceptance sampling plan designing with economic aspect for assuring Weibull distributed median life of the product has been studied by [12] in which the Bayesian approach has been used for the estimation of p value.…”

“…In addition, the economic sampling plans will be admirable because it involves the finding of minimum cost to satisfy both producer and consumer risks. Several authors considered the economic designing of various sampling plans to reduce the inspection cost (see for example, [11], [12], [13]).…”