scholarly journals Reliability Test Plan for an Extended Birnbaum-Saunders Distribution

2021 ◽  
Author(s):  
Jiju Gillariose ◽  
Lishamol Tomy
Keyword(s):  
Operating Characteristic ◽  
Optimal Number ◽  
Characteristic Functions ◽  
Acceptance Sampling ◽  
Sampling Plans ◽  
Lifetime Test ◽  
Acceptance Sampling Plans ◽  
Mean Lifetime ◽  
The Mean ◽  
Termination Time

Birnbaum-Saunders distribution has been widely studied in statistical literature because this distribution accommodates several interesting properties. The purpose of this paper is to introduce a new parametric distribution based on the Birnbaum-Saunders model and develop a new acceptance sampling plans for derived extended Birnbaum-Saunders distribution when the mean lifetime test is truncated at a predetermined time. For various acceptance numbers, confidence levels and values of the ratio of the fixed experimental time to the specified mean life, the minimum sample size necessary to assure a specified mean lifetime worked out. The results are illustrated by a numerical example. The operating characteristic functions of the sampling plans and producer’s risk and the ratio of true mean life to a specified mean life that ensures acceptance with a pre-assigned probability are tabulated. This paper presents relevant characteristics of the new distribution and a new acceptance sampling plans when the lifetime of a product adopts an extended Birnbaum-Saunders distribution. Based on this study, the optimal number of testers demanded is decreases as test termination time increases. Moreover, the operating characteristic values increases as the mean life ratio increases, which indicate that items with increased mean life will be accepted with higher probability compared with items with lower mean life ratio.

Acceptance Sampling Plans Based on Truncated Lifetime Tests for Transmuted Inverse Rayleigh Distribution

2016 ◽  
Vol 31 (2) ◽  
Author(s):  
Amer I. Al-Omari
Keyword(s):  
Sample Size ◽  
Operating Characteristic ◽  
Rayleigh Distribution ◽  
Acceptance Sampling ◽  
Sampling Plans ◽  
Confidence Levels ◽  
Operating Characteristic Function ◽  
Acceptance Sampling Plans ◽  
Mean Lifetime ◽  
Predetermined Level

AbstractIn this paper, we propose acceptance sampling plans for transmuted inverse Rayleigh distribution when the lifetime time is truncated at a predetermined level. We consider various characteristics of the acceptance sampling plans such as confidence levels, acceptance numbers, ratio of the experimental time to such a specified average, minimum requisite sample size to affirm a certain mean lifetime assuming transmuted inverse Rayleigh distribution. The minimum sample size, the operating characteristic function values of the new sampling plans as well as the producer’s risk are obtained and the results are illustrated by examples.

New Acceptance Sampling Plans Based on Percentiles for Exponentiated Fréchet Distribution

2016 ◽  
Vol 31 (1) ◽  
Author(s):  
Gadde Srinivasa Rao ◽  
Kanaparthi Rosaiah ◽  
Mothukuri Sridhar Babu ◽  
Devireddy Charanaudaya Sivakumar
Keyword(s):  
Operating Characteristic ◽  
Real Data ◽  
Acceptance Sampling ◽  
Producer’S Risk ◽  
Data Set ◽  
Sampling Plans ◽  
Fréchet Distribution ◽  
Acceptance Sampling Plans ◽  
Characteristic Values ◽  
Frechet Distribution

AbstractIn this article, acceptance sampling plans are developed for the exponentiated Fréchet distribution based on percentiles when the life test is truncated at a pre-specified time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given customer's risk and producer's risk simultaneously. The operating characteristic values of the sampling plans are presented. One example with real data set is also given as an illustration.

scholarly journals Acceptance Sampling Plans for Finite and Infinite Lot Size under Power Lindley Distribution

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 496
Author(s):  
Saman Shahbaz ◽  
Khushnoor Khan ◽  
Muhammad Shahbaz
Keyword(s):  
Operating Characteristic ◽  
Acceptance Sampling ◽  
Lot Size ◽  
Characteristic Curves ◽  
Sampling Plans ◽  
Lindley Distribution ◽  
Product Life ◽  
Power Lindley Distribution ◽  
Acceptance Sampling Plans ◽  
Lot Sizes

In this paper, we have developed single and double acceptance sampling plans when the product life length follows the power Lindley distribution. The sampling plans have been developed by assuming infinite and finite lot sizes. We have obtained the operating characteristic curves for the resultant sampling plans. The sampling plans have been obtained for various values of the parameters. It has been found that for a finite lot size, the sampling plans provide smaller values of the parameters to achieve the specified acceptance probabilities.

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.

scholarly journals A Research Algorithm to Sentence the Lots for Costly or Destructive Products in Mixed Quality Characteristics

2019 ◽  
Vol 8 (6S4) ◽  
pp. 850-853
Keyword(s):  
Characteristic Function ◽  
Operating Procedure ◽  
Operating Characteristic ◽  
Quality Characteristics ◽  
Acceptance Sampling ◽  
Sampling Plans ◽  
Operating Characteristic Function ◽  
Acceptance Sampling Plans ◽  
Standard Quality ◽  
Selection Of

This paper deals with the new operating procedure of Acceptance Sampling Plans for costly or destructive products when the incoming lots have mixed quality characteristics. The Operating Characteristic function and other associated measures of the plan are derived and provided. The procedure is given and designing of sampling plan are indexed through standard quality levels. Tables are constructed for easy selection of the plan.Illustrations are also provided.

Acceptance Sampling Plans for Percentiles Assuming the Linear Failure Rate Distribution

2014 ◽  
Vol 0 (0) ◽  
Author(s):  
B. Srinivasa Rao ◽  
M. Ch. Priya ◽  
R. R. L. Kantam
Keyword(s):  
Sample Size ◽  
Failure Rate ◽  
Operating Characteristic ◽  
Acceptance Sampling ◽  
Minimum Sample Size ◽  
Life Test ◽  
Sampling Plans ◽  
Rate Distribution ◽  
Acceptance Sampling Plans ◽  
Characteristic Values

AbstractIn this article , acceptance sampling plans are developed for the Linear Failure Rate Distribution percentiles when the life test is truncated at a pre-specified time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given consumerś risk. The operating characteristic values of the sampling plans as well as the producerś risk are presented.

scholarly journals Economic Design of Acceptance Sampling Plans for Truncated Life Tests Using Three-Parameter Lindley Distribution

2020 ◽  
Vol 18 (2) ◽  
pp. 2-15 ◽  
Author(s):  
Amer Ibrahim Al-Omari ◽  
Enrico Ciavolino ◽  
Amjad D. Al-Nasser
Keyword(s):  
Operating Characteristic ◽  
Average Lifetime ◽  
Acceptance Sampling ◽  
Sampling Plans ◽  
Lindley Distribution ◽  
Confidence Levels ◽  
Acceptance Sampling Plan ◽  
Acceptance Sampling Plans ◽  
Truncated Life Test ◽  
Life Tests

A single acceptance sampling plan for the three-parameter Lindley distribution under a truncated life test is developed. For various consumer’s confidence levels, acceptance numbers, and values of the ratio of the experimental time to the specified average lifetime, the minimum sample size important to assert a certain average lifetime are calculated. The operating characteristic (OC) function values as well as the associated producer’s risks are also provided. A numerical example is presented to illustrate the suggested acceptance sampling plans.

scholarly journals A New Acceptance Sampling Plans Based on Percentiles for Odds Exponential Log Logistic Distribution

2016 ◽  
Vol 7 (1) ◽  
pp. 45-52 ◽  
Author(s):  
G.S. Rao ◽  
K. Rosaiah ◽  
K. Kalyani ◽  
D.C.U. Sivakumar
Keyword(s):  
Operating Characteristic ◽  
Real Data ◽  
Logistic Distribution ◽  
Acceptance Sampling ◽  
Producer’S Risk ◽  
Data Set ◽  
Sampling Plans ◽  
Acceptance Sampling Plans ◽  
Characteristic Values ◽  
Predetermined Time

In this paper, acceptance sampling plans are developed for the odds exponential log logistic distribution (OELLD) introduced by Rosaiah et al. [1] based on lifetime percentiles when the life test is truncated at a predetermined time. The minimum sample size necessary to ensure the specified lifetime percentile is obtained under a given customer’s risk. The operating characteristic values of the sampling plans as well as the producer’s risk are presented. One example with real data set is also given as an illustration.

ACCEPTANCE SAMPLING PLANS FOR PERCENTILES OF HALF LOGISTIC DISTRIBUTION

2013 ◽  
Vol 20 (05) ◽  
pp. 1350016 ◽  
Author(s):  
B. SRINIVASA RAO ◽  
R. R. L. KANTAM
Keyword(s):  
Sample Size ◽  
Operating Characteristic ◽  
Logistic Distribution ◽  
Acceptance Sampling ◽  
Minimum Sample Size ◽  
Life Test ◽  
Sampling Plans ◽  
Acceptance Sampling Plans ◽  
Characteristic Values ◽  
Minimum Sample

In this article, acceptance sampling plans are developed for the half logistic distribution percentiles when the life test is truncated at a pre-specified time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given consumerś risk. The operating characteristic values of the sampling plans as well as the producerś risk are presented.

Design of single and double acceptance sampling plans based on interval type-2 fuzzy sets

2021 ◽  
pp. 1-13
Author(s):  
Gürkan Işık ◽  
İhsan Kaya
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Set ◽  
Measurement Errors ◽  
Uncertainty Modeling ◽  
Characteristic Functions ◽  
Acceptance Sampling ◽  
Sampling Plans ◽  
Acceptance Sampling Plans ◽  
Interval Type

Defectiveness of items is generally considered as a certain value in acceptance sampling plans (ASPs). It is clear that, it may not be certainly known in some real-case problems. Uncertainties of the inspection process such as measurement errors, inspectors’ hesitancies or vagueness of the process etc. should be taken into account to obtain more reliable results. The fuzzy set theory (FST) is one of the best methods to overcome these problems. There are some studies in the literature formulating the ASPs with the help of FST. Deciding the right membership functions of the fuzzy sets (FSs) has a vital importance on the quality of the uncertainty modeling. Additionally, the fuzzy set extensions have been offered to model more complicated uncertainties to achieve better modeling. As one of these extensions, type-2 fuzzy sets (T2FSs) gives an ability to model uncertainty in situations where it is not possible to determine exact membership function parameters. In this study, single and double ASPs based on interval T2FSs (IT2FSs) have been designed for binomial and Poisson distributions. Thus, it becomes possible to make more flexible, sensitive and descriptive sensitivity analyzes. The main characteristic functions of ASPs have been derived and the suggested formulations have been illustrated on a comparative application from manufacturing process. Results allowing for more comprehensive analysis as against to the traditional and T1FSs based plans have been obtained.

Sign in / Sign up

Export Citation Format

Share Document