转移概率流图的概率理论基础与应用方法（Ⅴ）：中止规则对调整形抽样方案 …

本文运用转移概率流向图及其粘接方法，首次证明当检查始于正常抽样方案时，不带中止规则的调整型抽样方案与中止规则的相应的调整型抽样方案，两者的复合ＯＣ函数不相同，且前者小于后者。     

转移概率流图的概率理论基础与应用方法(Ⅴ)——中止规则对调整型抽样方案复合OC函数的影响

本文运用转移概率流向图及其粘接方法，首次证明了当检查始于正常抽样方案时，不带中止规则的调整型抽样方案与带中止规则的相应的调整型抽样方案，两者的复合ＯＣ函数不相同，且前者小于后者本文运用转移概率流向图及其粘接方法，首次证明了当检查始于正常抽样方案时，不带中止规则的调整型抽样方案与带中止规则的相应的调整型抽样方案，两者的复合ＯＣ函数不相同，且前者小于后者     

转移概率流图的概率理论基础与应用方法(Ⅵ)——中止规则对调整型抽样方案复合OC函数影响的进一步讨论

解顺强．转移概率流向图的概率理论基础与应用方法（Ⅵ）—中止规则对调整型抽样方案复合ＯＣ函数影响的进一步讨论．数理统计与管理．１９９８．１７（６）本文运用转移概率流向图及其粘接方法，证明了当检查始于加严抽样方案时，不带中止规则的调整型抽样方案与带中止规则的相应的调整型抽样方案，两者的复合ＯＣ函数相同     

MIL-STD-1916中连续抽样方案的流向图方法

本文把转移概率流向图和转移概率母函数的方法引入到对MIL-STD-1916中连续抽样方案的讨论中,给出了抽样方案的平均检出质量函数AOQ,抽查特性函数L(p)和平均检查比率函数AFI全部3项指标的理论推导,为进一步探讨带有停止检查的MIL-STD-1916中连续抽样方案及相应的动态检出质量提供了理论基础。     

转移概率流图的概率理论基础与应用方法（Ⅵ）——中止规则对调整型抽样方案复

解顺强。转移概率流向图的概率理论基础与应用方法（Ⅵ）－中止规则对调整型抽样方案复合ＯＣ函数影响的进一步讨论。数理统计与管理。１９９８．１７（６）本文运用转移概率流向图及其粘接方法，证明了当检查始于加严抽样方案时，不带中止规则的调整型抽样方案与带中止规则的相应的调整型抽样方案，两者的复合ＯＣ函数相同。     

单水平连续性抽样方案CSP-V的流向图方法

本文利用转移概率流图和转移概率母函数的方法推导并得到了连续性抽样方案CSP—V的平均检出质量 (AOQ)、平均检查比离 (AFI)、和操作特性函数 (OC)等三个基本特性函数     

更新过程及流向图在链型抽样方案中的应用

本文首次将更新过程 ,多元转移概率流向图及多元转移概率母函数引入到链型抽样方案chsp- 1中 ,推导出链型抽样方案 chsp- 1的抽样特性函数 L(P) ,为探讨各类链型抽样方案的统计特性提供新途径     

转移概率流图的概率理论基础与应用方法(Ⅰ)——转移概率函数的基本概念与性质

本文简略介绍转移概率流图方法在计数抽样研究中的应用与发展，以概率母函数为基础引入了变量及路径的转移概率函数的术语与概念，并讨论了它们的基本性质。     

转移概率流图理论对Pascal分布的推广研究

转移概率流图方法是研究较为复杂的离散型随机过程整体特性的重要工具,特别是对获取某些重要随机变量的概率母函数和主要转移路径的转移概率函数更是一种有效的方法.本文运用转移概率流图方法讨论了帕斯卡分布,导出了两个组合数恒等式;对各种推广的帕斯卡分布的数学期望、方差和分布律等特性进行了研究,得到了系列结果.     

转移概率流图的概率理论基础与应用方法（Ⅰ）——转移概率函数的基本概念与性

本文简略介绍转移概率流图方法在计数抽样研究中的应用与发展，以概率母函数为基础引入了变量及路径的转移概率函数的术语与概念，并讨论了它们的基本性质。     

考虑检验错误的集团抽样检验接收概率函数

本文给出存在集团检验误差时的集团抽样检验接受概率计算公式,该公式可用于设计抽样方案、分析集团检验错误对抽样方案的影响.采用计算机模拟抽样检验的方法对给出的公式加以验证,证明了该所给公式的正确性.同时通过对集团检验错误存在与否的抽样检验特征(OC)曲线的比较,指出:以往的集团抽样检验方案设计,都是在假设无检验误差前提下设计的,在抽样检验中,若存在检验错误,会严重影响抽样检验的接收概率,使抽样检验结果不能客观地反映检验批的质量.     

链型抽样方案综述(Ⅰ)

本文讨论了链型抽样方案（ｎ,ｉ）及其操作特性函数,并介绍了选取方案的方法。为制定链型抽样方案的检验标准及在实际中使用链型抽样方案提供理论依据     

Optimal Sequencing of Inspection of Dependent Characteristics

We address the problem of sequentially inspecting the dependent characteristics of a product, where the dependency is expressed in terms of the joint probabilities of the fitness of the characteristics. We show that, even when the inspection has classification errors, the joint probability mass function of the observed fitness of the characteristics is independent of the sequence of inspection. Using this result, a dynamic programming approach is presented for finding the optimal sequence that minimizes the expected total cost of inspection. Previously reported policies for independent characteristics are shown to be special cases of the results presented here.     

Minimax strategy for optimal simple inspection plan design

Mathematical Methods of Operations Research - After providing minimax strategy in simple and composite hypothesis testing for optimal simple inspection plan design, this paper examines...     

计数集团检查的抽查特征函数

本文给出计数型集团检查一次、二次抽样方案的抽查特征函数及其算法, 并且通过与近似算法的比较和计算机抽样检查模拟, 验证了该方法的正确性, 并对该抽查特征函数性质和应用作了初步讨论.     

A new system of skip‐lot sampling plans having a provision for reducing normal inspection

The skip‐lot sampling program can be used for reducing the amount of inspection on a product that has excellent quality history. Thus skip‐lot sampling plans are designed to reduce inspection costs. Moreover, the skip‐lot concept is sound and useful and is economically advantageous to use in the design of sampling plans. Hence, a new system of skip‐lot sampling plans designated as the SkSP‐V plan is developed in this paper. The proposed plan requires a return to normal inspection whenever a lot is rejected during sampling inspection, but has a provision for a reduced normal inspection upon demonstration of superior product quality. A Markov chain formulation and derivation of performance measures for this new plan are presented. The properties of SkSP‐V plan are studied with single sampling plan as the reference plan. Advantages of this new plan are also discussed. Finally, certain cost models are given for the economic design of the SkSP‐V plan. Copyright © 2010 John Wiley & Sons, Ltd.     

Integrated inventory and inspection policies for stochastic demand

In this paper, we develop integrated inventory inspection models with and without replacement of nonconforming items. Inspection policies include no inspection, sampling inspection, and 100% inspection. We consider a buyer who places an order from a supplier when his inventory level drops to a certain point, due to demand which is stochastic in nature. When a lot is received, the buyer uses some type of inspection policy. The fraction nonconforming is assumed to be a random variable following a beta distribution. The order quantity, reorder point and the inspection policy are decision variables. In the inspection policy involving determining sampling plan parameters, constraints on the buyer and manufacturer risks is set in order to obtain a fair plan for both parties. A solution procedure for determining the operating policies for inventory and inspection consisting of order quantity, sample size, and acceptance number is proposed. Numerical examples are presented to conduct a sensitivity analysis for important model parameters and to illustrate important issues about the developed models.