Design and Construction of Plan for Exponential Distribution Using Repetitive Sampling

2016 ◽  
Vol 13 (10) ◽  
pp. 6568-6575
Author(s):  
Muhammad Aslam ◽  
Ali Hamed S Algarni ◽  
Ramsha Saeed
Keyword(s):  
Exponential Distribution ◽  
Linear Optimization ◽  
Sampling Plan ◽  
Design Parameters ◽  
Sample Number ◽  
Sampling Plans ◽  
Industrial Data ◽  
Repetitive Group Sampling ◽  
Average Sample

In this paper, sampling plan using exact and approximated approaches is presented when the quality of interest follows the exponential distribution. The designing both presented using the repetitive group sampling plan. The design parameters of the proposed sampling plans are determined through non-linear optimization. The efficiency of proposed sampling plans is compared with the existing sampling plans in terms of average sample number. The application of the proposed plans is discussed by industrial data.

scholarly journals Inspection plan for COVID-19 patients for Weibull distribution using repetitive sampling under indeterminacy

2021 ◽  
Vol 21 (1) ◽  
Author(s):  
G. Srinivasa Rao ◽  
Muhammad Aslam
Keyword(s):  
Weibull Distribution ◽  
Sample Size ◽  
Research Work ◽  
Sampling Plan ◽  
Design Parameters ◽  
Sample Number ◽  
Sampling Plans ◽  
Average Sample Number ◽  
Size Acceptance ◽  
Average Sample

Abstract Background This research work is elaborated investigation of COVID-19 data for Weibull distribution under indeterminacy using time truncated repetitive sampling plan. The proposed design parameters like sample size, acceptance sample number and rejection sample number are obtained for known indeterminacy parameter. Methods The plan parameters and corresponding tables are developed for specified indeterminacy parametric values. The conclusion from the outcome of the proposed design is that when indeterminacy values increase the average sample number (ASN) reduces. Results The proposed repetitive sampling plan methodology application is given using COVID-19 data belong to Italy. The efficiency of the proposed sampling plan is compared with the existing sampling plans. Conclusions Using the tables and COVID-19 data illustration, it is concluded that the proposed plan required a smaller sample size as examined with the available sampling plans in the literature.

scholarly journals Design of SkSP-R Variables Sampling Plans

2015 ◽  
Vol 38 (2) ◽  
pp. 413-429 ◽  
Author(s):  
Muhammad Aslam ◽  
Saminathan Balamurali ◽  
Chi-Hyuck Jun ◽  
Batool Hussain
Keyword(s):  
Nonlinear Optimization ◽  
Optimization Problem ◽  
Sampling Plan ◽  
Producer’S Risk ◽  
Sample Number ◽  
Sampling Plans ◽  
Average Sample Number ◽  
Nonlinear Optimization Problem ◽  
Better Than ◽  
Average Sample

In this paper, we present the designing of the skip-lot sampling plan including the re-inspection  called SkSP-R. The plan parameters of the proposed plan are determined through a  nonlinear optimization problem by minimizing the average sample number satisfying both the producer's risk and the consumer's risks. The proposed plan is shown to perform better than the existing sampling plans in terms of the average sample number. The application of the proposed plan is explained with the help of illustrative examples.

scholarly journals Mixed Variables-Attributes Test Plans for Single and Double Acceptance Sampling under Exponential Distribution

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
Yan Li ◽  
Xiaolong Pu ◽  
Dongdong Xiang
Keyword(s):  
Exponential Distribution ◽  
Operating Characteristic ◽  
Acceptance Sampling ◽  
Sample Sizes ◽  
Sample Number ◽  
Sampling Plans ◽  
Average Sample Number ◽  
Mixed Variables ◽  
Average Sample

The mixed variables-attributes test plans for single acceptance sampling are proposed to protect “good lots” from attributes aspect and to optimize sample sizes from variables aspect. For the single and double mixed plans, exact formulas of the operating characteristic and average sample number are developed for the exponential distribution. Numerical illustrations show that the mixed sampling plans have some advantages over the variables plans or attributes plans alone.

Optimal designing of SkSP-2 skip-lot sampling plan for normally distributed quality characteristics

2017 ◽  
Vol 40 (7) ◽  
pp. 2240-2248 ◽  
Author(s):  
Saminathan Balamurali ◽  
Jambulingam Subramani
Keyword(s):  
Sampling Plan ◽  
Quality Characteristic ◽  
Optimal Parameters ◽  
Optimal Plan ◽  
Sample Number ◽  
Sampling Plans ◽  
Sampling Schemes ◽  
The Cost ◽  
Optimal Designing ◽  
Average Sample

Skip-lot sampling plans have been widely used in industries to reduce the inspection efforts on products that have an excellent quality history. These skip-lot sampling schemes are economically advantageous and useful to minimize the cost of the inspection of the final lots. Also, the skip-lot concept is sound and useful in the design of sampling plans. In this paper, we propose a designing methodology to determine the optimal parameters of a skip-lot sampling plan of type SkSP-2 when the quality characteristic under study follows a normal distribution. The optimal plan parameters are determined to minimize the average sample number subject to satisfying the producer’s and consumer’s risks simultaneously at the acceptable and limiting quality levels, respectively. An optimization problem is formulated in order to construct tables for determining the optimal parameters of the proposed sampling plan for both known and unknown standard deviation cases and the results are compared with the variables single sampling plans.

Designing of Variables Repetitive Group Sampling Plan Involving Minimum Average Sample Number

2005 ◽  
Vol 34 (3) ◽  
pp. 799-809 ◽  
Author(s):  
S. Balamurali ◽  
Heekon Park ◽  
Chi-Hyuck Jun ◽  
Kwang-Jae Kim ◽  
Jaewook Lee
Keyword(s):  
Sampling Plan ◽  
Sample Number ◽  
Average Sample Number ◽  
Repetitive Group Sampling ◽  
Average Sample

Comment on “Exact Bayesian variable sampling plans for the exponential distribution based on type-I hybrid censored samples” and “its corrections”

2013 ◽  
Vol 44 (2) ◽  
pp. 113-122
Author(s):  
Tachen Liang
Keyword(s):  
Exponential Distribution ◽  
Sampling Plan ◽  
Design Parameters ◽  
Type I ◽  
Sampling Plans ◽  
Bayesian Sampling ◽  
Censored Samples ◽  
Variable Sampling

We compare the performances of two sampling plans, namely, the Lin-Liang-Huang (2002)'s Bayesian sampling plan $(n^*,\xi^*)$ and the Lin-Huang-Balakrishnan (2008a, 2010a)'s exact Bayesian sampling plan $(n_0,r_0,t_0,\xi_0)$. We also comment the accuracy of the values of the design parameters $(n_0,r_0,t_0,\xi_0)$ provided in Lin-Huang-Balakrishnan (2010a). We conclude that among the class of sampling plans $(n,r,t,\xi)$ of Lin et al.~(2008a, 2010a), the exact Bayesian sampling plan does not exist.

scholarly journals New Group Chain Acceptance Sampling Plans (NGChSP-1) using Minimum Angle Method for Generalized Exponential Distribution

2021 ◽  
Vol 50 (4) ◽  
pp. 1121-1129
Author(s):  
Mohd Azri Pawan Teh ◽  
Nazrina Aziz ◽  
Zakiyah Zain
Keyword(s):  
Exponential Distribution ◽  
Optimal Number ◽  
Design Parameters ◽  
Acceptance Sampling ◽  
Generalized Exponential Distribution ◽  
Acceptance Criteria ◽  
Sampling Plans ◽  
Acceptance Sampling Plans ◽  
Minimum Angle ◽  
Angle Method

The established group chain acceptance sampling plans (GChSP-1) functions with five acceptance criteria, while the modified group of chain acceptance sampling plans (MGChSP-1) operates with three acceptance criteria. Since the acceptance criteria affect the performances of the sampling plans, therefore, this article suggests a balanced approach by introducing a new group of chain acceptance sampling plans (NGChSP-1), where it functions with four acceptance criteria. The NGChSP-1 is developed by using minimum angle method which caters for producer’s and consumer’s risks. The generalized exponential distribution is selected as the lifetime distribution and the simulation for the NGChSP-1 is conducted at various values of design parameters using the Scilab programming. The finding shows that the optimal number of groups and the corresponding smallest theta for NGChSP-1 are smaller compared to those for the GChSP-1. For illustration purposes, the NGChSP-1 is then applied to real data of air conditioning equipment.

Design of single and double acceptance sampling plans based on neutrosophic sets

2021 ◽  
pp. 1-18
Author(s):  
Gürkan Işik ◽  
İhsan Kaya
Keyword(s):  
Fuzzy Set ◽  
Acceptance Sampling ◽  
Good Representation ◽  
Neutrosophic Sets ◽  
Defective Items ◽  
Sample Number ◽  
Sampling Plans ◽  
Acceptance Sampling Plans ◽  
Different Sources ◽  
Average Sample

Although traditional acceptance sampling plans (ASPs) need certain mass quality characteristics, it is not easy to define them as crisp value in some real case problems. The fuzzy set theory (FST) is one of the popular techniques to model uncertainties of the process and therefore fuzzy ASPs have been offered in the literature. Fuzzy set extensions have been proposed recently for better modeling of the uncertainties having different sources and characteristics. One of these extensions named neutrosophic sets (NSs) can be used to increase the sensitiveness and flexibility of ASPs. The ASPs based on NSs can give ability to classify the items as defective, non-defective and indeterminate. Since the operator can become indecisive for slightly defective items, these plans can provide a good representation of human evaluations under uncertainty. In this study, single and double ASPs are designed based on NSs by using binomial and poisson distributions that are also re-analyzed based on NSs. For this aim, some characteristics functions of ASPs such as probability of accepting a lot (Pa), average outgoing quality (AOQ), average total inspection (ATI) and average sample number (ASN) have also been analyzed based on NSs. Numerical examples are presented to analyze the proposed plans.

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