Recently,the Darna distribution has been introduced as a new lifetime distribution.The two-parameter Darna distribution represents is a mixture of two well-known gamma and exponential distributions.A manufacturer or a...Recently,the Darna distribution has been introduced as a new lifetime distribution.The two-parameter Darna distribution represents is a mixture of two well-known gamma and exponential distributions.A manufacturer or an engineer of products conducts life testing to examine whether the quality level of products meets the customer’s requirements,such as reliability or the minimum lifetime.In this article,an attribute modified chain sampling inspection plan based on the time truncated life test is proposed for items whose lifetime follows the Darna distribution.The plan parameters,including the sample size,the acceptance number,and the past lot result of the proposed sampling plan,are determined with the help of the two-point approach considering the acceptable quality level(AQL)and the limiting quality level(LQL).The plan parameters and the corresponding operating characteristic functions of a new plan are provided in tabular form for various Darna distribution parameters.Also,a few illustrated examples are presented for various distribution parameters.The usefulness of the proposed attribute modified chain sampling plan is investigated using two real failure time datasets.The results indicate that the proposed sampling plan can reduce the sample size when the termination ratio increases for fixed values of the producer’s risk and acceptance number.Hence,the proposed attribute modified chain sampling inspection plan is recommended to practitioners in the field.展开更多
Based on the hypothesis testing theory and sampling inspection, and utilizing the distribution parameters obtained by order restricted method, the matter of reliability index verification is transformed into testing t...Based on the hypothesis testing theory and sampling inspection, and utilizing the distribution parameters obtained by order restricted method, the matter of reliability index verification is transformed into testing the scale parameters of distribution. Thus, a lower stimulus level is selected, and small sample size specimens are tested to verify the high reliability at required stimulus level. Analysis for mean square error of verification test stimulus level is taken, and the result demonstrates that it is reasonable to confirm the test scheme using the order restricted estimation. The new method is used for reliability verification of the stab detonator comparing with run-down method. The result shows that it is available for verification of high reliability explosive initiator by small sample size.展开更多
：The paper presents and proves an approximate optimal relationship between sample size n andacceptance number c in the sampling plans under imperfect inspection which minimize the Bayesian risk. Theconclusion general...：The paper presents and proves an approximate optimal relationship between sample size n andacceptance number c in the sampling plans under imperfect inspection which minimize the Bayesian risk. Theconclusion generalizes the result obtained by A. Hald on the assumption that the inspection is perfect.展开更多
For costly and/or destructive inspections for a complex population, the sum of observations, the test statistic in common use, is shown to be inefficient in risk control. For the complex population consisting of Berno...For costly and/or destructive inspections for a complex population, the sum of observations, the test statistic in common use, is shown to be inefficient in risk control. For the complex population consisting of Bernoulli distributions, the method of combined inspection is proposed in this paper, Evaluation based on examples and simulation results is conducted according to the method of limited classification. It is concluded that the new method is efficient and applicable.展开更多
In this article,the authors propose a modified version of S.L.Chen and Liu’s model with a two-stage production system.Assume that the retailer’s order quantity is concerned with the manufacturer’s selling price and...In this article,the authors propose a modified version of S.L.Chen and Liu’s model with a two-stage production system.Assume that the retailer’s order quantity is concerned with the manufacturer’s selling price and the warranty period of product.The used cost of the customer is measured under the Taguchi’s quadratic quality loss function and concluded in the retailer’s profit function.The quality of the lot for the manufacturer is determined by adopting a two-stage single sampling rectifying inspection plan.The modified economic manufacturing quantity(EMQ)model is addressed in formulating the manufacturer’s expected profit.The retailer’s order quantity,manufacturer’s wholesale price,production run length,process mean,and warranty period of product will be jointly determined by maximizing the total expected profit of the supply chain system including the manufacturer and the retailer.Finally,the quality investment policy is introduced to illustrate the profit improvement for the supply chain system.展开更多
基金A.R.A.Alanzi would like to thank the Deanship of Scientific Research at Majmaah University for financial support and encouragement.
文摘Recently,the Darna distribution has been introduced as a new lifetime distribution.The two-parameter Darna distribution represents is a mixture of two well-known gamma and exponential distributions.A manufacturer or an engineer of products conducts life testing to examine whether the quality level of products meets the customer’s requirements,such as reliability or the minimum lifetime.In this article,an attribute modified chain sampling inspection plan based on the time truncated life test is proposed for items whose lifetime follows the Darna distribution.The plan parameters,including the sample size,the acceptance number,and the past lot result of the proposed sampling plan,are determined with the help of the two-point approach considering the acceptable quality level(AQL)and the limiting quality level(LQL).The plan parameters and the corresponding operating characteristic functions of a new plan are provided in tabular form for various Darna distribution parameters.Also,a few illustrated examples are presented for various distribution parameters.The usefulness of the proposed attribute modified chain sampling plan is investigated using two real failure time datasets.The results indicate that the proposed sampling plan can reduce the sample size when the termination ratio increases for fixed values of the producer’s risk and acceptance number.Hence,the proposed attribute modified chain sampling inspection plan is recommended to practitioners in the field.
基金Supported by the Ministerial Level Foundation(9140C3705020906)
文摘Based on the hypothesis testing theory and sampling inspection, and utilizing the distribution parameters obtained by order restricted method, the matter of reliability index verification is transformed into testing the scale parameters of distribution. Thus, a lower stimulus level is selected, and small sample size specimens are tested to verify the high reliability at required stimulus level. Analysis for mean square error of verification test stimulus level is taken, and the result demonstrates that it is reasonable to confirm the test scheme using the order restricted estimation. The new method is used for reliability verification of the stab detonator comparing with run-down method. The result shows that it is available for verification of high reliability explosive initiator by small sample size.
基金This research was supported by National Natural Science Foundation of China ( Grant No.7993 0 90 0)
文摘：The paper presents and proves an approximate optimal relationship between sample size n andacceptance number c in the sampling plans under imperfect inspection which minimize the Bayesian risk. Theconclusion generalizes the result obtained by A. Hald on the assumption that the inspection is perfect.
文摘For costly and/or destructive inspections for a complex population, the sum of observations, the test statistic in common use, is shown to be inefficient in risk control. For the complex population consisting of Bernoulli distributions, the method of combined inspection is proposed in this paper, Evaluation based on examples and simulation results is conducted according to the method of limited classification. It is concluded that the new method is efficient and applicable.
文摘In this article,the authors propose a modified version of S.L.Chen and Liu’s model with a two-stage production system.Assume that the retailer’s order quantity is concerned with the manufacturer’s selling price and the warranty period of product.The used cost of the customer is measured under the Taguchi’s quadratic quality loss function and concluded in the retailer’s profit function.The quality of the lot for the manufacturer is determined by adopting a two-stage single sampling rectifying inspection plan.The modified economic manufacturing quantity(EMQ)model is addressed in formulating the manufacturer’s expected profit.The retailer’s order quantity,manufacturer’s wholesale price,production run length,process mean,and warranty period of product will be jointly determined by maximizing the total expected profit of the supply chain system including the manufacturer and the retailer.Finally,the quality investment policy is introduced to illustrate the profit improvement for the supply chain system.
