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References (42)
-
R. Sherman (1965)
Design and Evaluation of a Repetitive Group Sampling PlanTechnometrics, 7
-
S. Aslam, supChi-Hyuck Jun, supArturo Fernandez, supMunir Ahmad, supMujahid Rasool (2014)
Repetitive Group Sampling Plan Based on Truncated Tests for Weibull ModelsResearch Journal of Applied Sciences, Engineering and Technology, 7
-
(2007)
Double acceptance sampling based on truncated life-tests in Rayleigh distribution -
Rao (2009)
A group acceptance sampling plans for lifetimes following a generalized exponential distribution A group acceptance sampling plans for lifetimes following a generalized exponential distributionEconQual Qual, 18
-
Epstein (1954)
Truncated life tests in the exponential case Truncated life tests in the exponential caseAnnMath Statist Math Statist, 11
-
M. Aslam, C. Jun (2009)
A GROUP ACCEPTANCE SAMPLING PLANS FOR TRUNCATED LIFE TESTS BASED ON THE INVERSE RAYLEIGH AND LOG-LOGISTIC DISTRIBUTIONS -
Aslam (2014)
Repetitive group sampling plan based on truncated tests for Weibull models Repetitive group sampling plan based on truncated tests for Weibull modelsResAppl Sci Engrg Technol Appl Sci Engrg Technol, 5
-
Tzong-Ru Tsai, Shuo‐Jye Wu (2006)
Acceptance sampling based on truncated life tests for generalized Rayleigh distributionJournal of Applied Statistics, 33
-
Jun (2010)
A variables repetitive goup sampling plan under failure - censored reliability tests for Weibull distribution A variables repetitive goup sampling plan under failure - censored reliability tests for Weibull distributionJAppl Stati Appl Stati, 14
-
Sherman (1965)
Design and evaluation of a repetitive group sampling plan Design and evaluation of a repetitive group sampling planTechnometricsTechnometrics, 19
-
C. Jun, Hyeseon Lee, Sang-Ho Lee, S. Balamurali (2010)
A variables repetitive group sampling plan under failure-censored reliability tests for Weibull distributionJournal of Applied Statistics, 37
-
M. Aslam, C. Jun (2009)
A group acceptance sampling plan for truncated life test having Weibull distributionJournal of Applied Statistics, 36
-
Kantam (2001)
Acceptance sampling plans based on life tests : Log - logistic model Srinivas RaoG Acceptance sampling plans based on life tests : Log - logistic modelJAppl Stat Appl Stat, 15
-
Al-Omari Ibrahim (2014)
Acceptance Sampling Plan Based on Truncated Life Tests for Three Parameter Kappa DistributionEconomic Quality Control, 29
-
Bartholomew (1963)
The sampling distribution of an estimate arising in life testing The sampling distribution of an estimate arising in life testingTechnometricsTechnometrics, 9
-
Balamurali (2013)
Optimal design of variable chain sampling plan by minimizing the average sample number Optimal design of variable chain sampling plan by minimizing the average sample numberIntJ, 8
-
Aslam (2012)
Decision rule of repetitive acceptance sampling plans assuring percentile life Decision rule of repetitive acceptance sampling plans assuring percentile lifeSciSci, 6
-
Aslam (2009)
A group acceptance sampling plan for truncated life test having Weibull distribution A group acceptance sampling plan for truncated life test having Weibull distributionJAppl Stat Appl Stat, 3
-
Tsai (2006)
Acceptance sampling based on truncated life test for generalized rayleigh distribution Acceptance sampling based on truncated life test for generalized rayleigh distributionJAppl Stat Appl Stat, 20
-
Yen (2015)
Repetitive variable acceptance sampling plan for one - sided specification Repetitive variable acceptance sampling plan for one - sided specificationJStat Comput Simul Stat Comput Simul, 22
-
Noughabi (2015)
Testing exponentiality based on the likelihood ratio and power comparison Data Testing exponentiality based on the likelihood ratio and power comparisonAnn DataSci Sci, 16
-
R. Drenick (1960)
THE FAILURE LAW OF COMPLEX EQUIPMENTJournal of The Society for Industrial and Applied Mathematics, 8
-
Drenick (1960)
The failure law of complex equipment The failure law of complex equipmentJAppl Math Soc Appl Math, 10
-
H. Noughabi (2015)
Testing Exponentiality Based on the Likelihood Ratio and Power ComparisonAnnals of Data Science, 2
-
(2001)
Acceptance sampling plans based on life tests: Log-logistic model -
B. Epstein (1954)
Truncated Life Tests in the Exponential CaseAnnals of Mathematical Statistics, 25
-
S. Balamurali, M. Usha (2013)
Optimal Designing of Variables Chain Sampling Plan by Minimizing the Average Sample Number, 2013
-
Jun (2006)
Variable sampling plans for Weibull distribution lifetimes under sudden death testing Variable sampling plans for Weibull distribution lifetimes under sudden death testingIEEE TransIEEE Trans Reliab Reliab, 13
-
Omari (2014)
Acceptance sampling plan based on truncated life tests for three parameter kappa distribution Acceptance sampling plan based on truncated life tests for three parameter kappa distributionEconQual Qual, 1
-
M. Aslam, S. Niaki, Mujahid Rasool, M. Fallahnezhad (2012)
Decision rule of repetitive acceptance sampling plans assuring percentile lifeScientia Iranica, 19
-
Rao Srinivasa (2009)
A Group Acceptance Sampling Plans for Lifetimes Following a Generalized Exponential DistributionEconomic Quality Control, 24
-
Chien-Wei Wu, M. Aslam, James Chen, C. Jun (2015)
A repetitive group sampling plan by variables inspection for product acceptance determinationEuropean Journal of Industrial Engineering, 9
-
(2006)
Variable sampling plans for Weibull distribution lifetimes under sudden death test -
Azam (2015)
Two stage group acceptance sampling plan for half normal percentiles Two stage group acceptance sampling plan for half normal percentilesJSci Sci, 7
-
C. Yen, Chia-Hao Chang, M. Aslam (2015)
Repetitive variable acceptance sampling plan for one-sided specificationJournal of Statistical Computation and Simulation, 85
-
Proschan (1963)
Theoretical explanation of observed decreasing failure rate Theoretical explanation of observed decreasing failure rateTechnometricsTechnometrics, 17
-
F. Proschan (2000)
Theoretical Explanation of Observed Decreasing Failure RateTechnometrics, 42
-
Epstein (1953)
Life testing Life testingJStatist Assoc Amer Statist Assoc, 12
-
Aslam (2007)
Double acceptance sampling based on truncated life - tests in Rayleigh distribution Double acceptance sampling based on truncated life - tests in Rayleigh distributionEurSci Res Sci Res, 2
-
M. Azam, M. Aslam, S. Balamurali, Affifa Javaid (2015)
Two stage group acceptance sampling plan for half normal percentilesJournal of King Saud University - Science, 27
-
C. Jun, S. Balamurali, Sang-Ho Lee (2006)
Variables sampling plans for Weibull distributed lifetimes under sudden death testingIEEE Transactions on Reliability, 55
-
D. Bartholomew (1963)
The Sampling Distribution of an Estimate Arising in Life TestingTechnometrics, 5
- Publisher
- de Gruyter
- Copyright
- Copyright © 2016 by the
- ISSN
- 0940-5151
- eISSN
- 1869-6147
- DOI
- 10.1515/eqc-2015-0005
- Publisher site
- See Article on Publisher Site
Abstract
Abstract In this paper, an attempt is made to derive the most efficient economic reliability sampling plans for accepting a lot containing identical units having exponentially distributed lifetime with parameter θ. We consider two types of sampling plans, namely, (a) sequential sampling plan ( t 1 , t 2 ) ${(t_1,t_2)}$ and (b) repetitive group sampling plan ( n , t 1 , t 2 ) ${(n,t_1,t_2)}$ . Under plan (a), the lot is rejected when the time between successive failures ( Y r ) ${(Y_r)}$ is less than t 1 , and accepted when Y r ≥ t 2 ${Y_r\ge t_2}$ . The testing will continue for t 1 ≤ Y r < t 2 ${t_1\le Y_r< t_2}$ . Also we formulate an optimization problem that minimizes the total expected testing cost. Under plan (b), four different criteria are used to derive the sampling plan. The optimization problem formulated under each criterion is solved using a genetic algorithm to obtain the plan parameters ( n , t 1 , t 2 ) ${(n,t_1,t_2)}$ . Several numerical examples are discussed to illustrate our plans. In addition, a real example is also considered to demonstrate our plan. Finally, we compare the cost of our plan with that of an existing plan in the literature. Our plan has significant potential to reduce the testing cost by about 50%.
Journal
Economic Quality Control – de Gruyter
Published: Jun 1, 2016