Truncated Life Test Research Articles

Economical sampling plans with warranty based on truncated data from Burr type XII distribution

Economical sampling plans to ensure the qualities of Burr type XII distributed lifetimes were established using a truncated life test. The Bayesian inference method was used to address the lot-to-lot variation of products. The sampling plan was characterized by the sample size and the acceptance number to minimize the expected total cost. A simple empirical Bayesian estimation method was provided to estimate the hyperparameters of prior distribution, and simulation studies were conducted to validate the proposed empirical Bayesian estimation method. Lastly, the application of this proposed method was illustrated using two examples.

Double acceptance sampling plan based on truncated life tests for half exponential power distribution

In this paper, we develop a double acceptance sampling plan for half exponential power distribution when the lifetime experiment is truncated at a prefixed time. The zero and one failure schemes are considered. We obtain the minimum sample sizes of the first and second samples necessary to ensure the specified mean life at the given consumer’s confidence level. The operating characteristic values and the minimum ratios of the mean life to the specified life are also analyzed. Numerical example is provided to illustrate the double acceptance sampling plan.

Sampling Plans Based on Truncated Life Test for a Generalized Inverted Exponential Distribution

In this paper, we propose a two-stage group acceptance sampling plan for generalized inverted exponential distribution under truncated life test. Median life is considered as a quality parameter. Design parameters are obtained to ensure that true median life is longer than a given specified life at certain level of consumer’s risk and producer’s risk. We also explore situations under which design parameters based on median lifetime can be used for other percentile points. Tables and specific examples are reported to explain the proposed plans. Finally a real data set is analyzed to implement the plans in practical situations and some suggestions are given.

Attribute Control Charts for the Weibull Distribution under Truncated Life Tests

ABSTRACTIn this article, an attribute control chart is proposed when the lifetime of a product follows a Weibull distribution, which is based on the number of failures from a truncated life test. The coefficients of the proposed control chart and the test duration are determined so that the average run length when the process is in control is close to the target value. Tables reporting the out-of-control average run lengths are given for various shift parameters. A case study is given to illustrate the proposed control chart for industrial use.

A Group Acceptance Sampling Plan for Truncated Life Test Having Transmuted Extended Weibull Distribution

A Group Acceptance Sampling Plan for Truncated Life Test Having Transmuted Extended Weibull Distribution

A Group Acceptance Sampling Plan for Truncated Life Test Having Exponentiated Transmuted Weibull Distribution By:A. D. Abd El-Latifa, A. N. Ahmed and M. E. Abdelaziz

A Group Acceptance Sampling Plan for Truncated Life Test Having Exponentiated Transmuted Weibull Distribution By:A. D. Abd El-Latifa, A. N. Ahmed and M. E. Abdelaziz

Acceptance sampling plans based on truncated life tests for weighted exponential distribution

ABSTRACTGupta and Kundu proposed a new class of weighted exponential distributions using the idea of Azzalini. In this article, we develop an acceptance sampling plan for the weighted exponential distribution under a truncated life test. For various acceptance numbers, consumer’s confidence levels and values of the ratio of the experimental time to the specified mean lifetime, the minimum sample size necessary to ensure a certain mean lifetime are obtained. The operating characteristic function values and the associated producer’s risks are also presented. A numerical example is provided to illustrate the acceptance sampling plan.

Resubmitted Sampling Inspection Plan for Exponentiated Weibull Distribution

Abstract This paper provides a resubmitted lot inspection plan based on the truncated life test when the failure time of a product is modeled by the exponentiated Weibull distribution. The plan parameters are determined by solving the optimization problem of minimizing the average sample number while satisfying the producer's and the consumer's risks. The proposed plan was found to be more efficient than the single inspection plan when it was applied in the carbon fiber industry.

Economic design of the life test with a warranty policy

Considering a warranty policy, an optimal truncated life test procedure is developed for the generalized exponential distribution. A total cost model, which involves the costs of testing, experimental time, lot acceptance or rejection, and the warranty, is adopted to establish the loss function of Bayesian decision method. A proper sample size of life test and an acceptance number of threshold are determined to minimize the expected total cost for lot decision. An example regarding the lifetime quality of integrated circuit products is used to demonstrate the proposed method. Numerical results have shown that the proposed method is beneficial for the reduction of expected total cost.

Two stage group acceptance sampling plan for half normal percentiles

In this paper, a time truncated life test based on two stage group acceptance sampling plan for the percentile lifetime following half-normal distribution is proposed. The optimal parameters for the proposed plan are determined such that both producer’s and consumer’s risks are satisfied simultaneously for the given experimentation time and sample size. The efficiency of the proposed sampling plan is discussed in terms of average sample number with the existing sampling plan. The proposed sampling plan is explained with the help of industrial examples.

A Conditional Repetitive Group Sampling Plan for Truncated Life Tests Using Log – Logistic, Exponentiated Log – Logistic, Rayleigh and Inverse Rayleigh Distributions

A Conditional Repetitive Group Sampling Plan for Truncated Life Tests Using Log – Logistic, Exponentiated Log – Logistic, Rayleigh and Inverse Rayleigh Distributions

A Two Stage Group Acceptance Sampling Plans Based on Truncated Life Tests Using Log-Logistic and Gamma Distributions

In this paper, a two stage group acceptance sampling plan is developed for a truncated life test when the lifetime of an item follows Log – Logistic and Gamma distributions. The minimum number of groups required for a given group size and the acceptance number is determined when the consumer’s risk and the test termination time are specified. The operating characteristic values according to various quality levels are obtained. The results are explained with examples.

A Group Acceptance Sampling Plan for Weighted Binomial on Truncated Life Tests Using Exponential and Weibull Distributions

A Group Acceptance Sampling Plan for Weighted Binomial on Truncated Life Tests Using Exponential and Weibull Distributions

Improved double acceptance sampling plan based on truncated life test for some popular statistical distributions

In this paper, a modified double acceptance sampling plan for time-truncated life test is developed. The operating procedure of this plan is also proposed and the performance measures such as the probability of acceptance and the average sample number (ASN) are also derived. We consider gamma distribution, Weibull distribution and Birnbaum–-Saunders distribution for designing the proposed plan. The optimal parameters are determined which will have minimum ASN. The efficiency of the proposed plan is also discussed over the traditional double sampling plan (DSP) and shown that the proposed plan performs better than the existing DSP. The extensive tables are provided for all the distributions and explained with the help of industrial data.

A Hybrid Group Acceptance Sampling Plan for Lifetimes Based on Gamma, Exponentiated Log – Logistic and Marshall – Olkin extended exponential Distributions

In this paper we have developed a hybrid group acceptance sampling plan for a truncated life test when the lifetime of an item follows gamma distribution, exponentiated log – logistic distribution and Marshall – Olkin extended exponential distribution. The minimum number of testers and acceptance number are determined when the consumer’s risk and the test termination time and group size are specified. The operating characteristic values according to various quality levels are also obtained.

Acceptance Sampling Plans Based on Truncated Life Tests for Gompertz Distribution

An acceptance sampling plan for Gompertz distribution under a truncated life test is developed. For different acceptance numbers, consumer’s confidence levels and values of the ratio of the experimental time to the specified mean lifetime, the minimum sample sizes required to ensure the specified mean lifetime are obtained. The operating characteristic function values and the associated producer’s risks are also presented. An example is provided to illustrate the acceptance sampling plan.

Double Acceptance Sampling Plan for Time Truncated Life Tests Based on Maxwell Distribution

SYNOPTIC ABSTRACTIn this article, we propose a double acceptance sampling plan based on the truncated life test for Maxwell distribution. By fixing the consumer’s confidence level, the minimum sample sizes of the first and second samples necessary to ensure the specified mean life are obtained. The operating characteristic values and the minimum ratios of the mean life to the specified life are also analyzed. Several useful tables are provided. We illustrate the double acceptance sampling plan with a numerical example.

Designing Chain Sampling Plans Based on Truncated Life Test under Various Distributions Using Minimum Angle Method

In this paper Chain sampling plans for truncated life tests are developed using minimum angle method, when the life time of the items follows some selected distributions. The design parameters of the sampling plan are determined for pre-determined acceptance number by satisfying two risks at the specified quality levels simultaneously. The tables of design parameters are provided for various test termination time and mean ratio for some selected distributions. The operating characteristic values are also provided in the table. Some comparisons are made among the selected distributions. The results are explained with examples.

Repetitive Group Sampling Plan Based on Truncated Tests for Weibull Models

This study proposes a new repetitive group sampling plan by attributes based on truncated life test under the Weibull distributions with known shape parameter. The constrained optimization problem is formulated as a nonlinear integer programming to determine the sample size and the acceptance criterion of the proposed plan. The objective function to be minimized is the average sample number, whereas the constraints are related to the lot acceptance probabilities at the acceptable and limiting quality levels. Tables containing the optimal design parameters are constructed for various values of the Weibull shape parameter and the results are explained with several examples. Minimum producer's and consumer's risks are also determined. The proposed sampling plan reduces significantly the average sample number as compared with the traditional single sampling plan. The effect of the mis-specification of shape parameters is also discussed.

Hybrid Group Acceptance Sampling Plan Based on Size Biased Lomax Model

In this paper, a hybrid group acceptance sampling plan is introduced for a truncated life test if life times of the items follow size biased Lomax model. The minimum number of testers and acceptance number are obtained when the consumer's risk and the test termination time and group size are pre-specified. The operating characteristic values, minimum ratios of the true mean life to the specified mean life for the given producer's risk are also derived. The results are discussed through an example, a comparative study of proposed sampling plan with existing sampling plan are elaborated.