The purpose of this paper is to design an optimal reliability acceptance sampling plan (RASP) using the Type-I generalized hybrid censoring scheme (GHCS) for non-repairable products sold under the general rebate warranty. A cost function approach is proposed for products having Weibull distributed lifetimes incorporating relevant costs.,For Weibull distributed product lifetimes, acceptance criterion introduced by Lieberman and Resnikoff (1955) is derived for Type-I GHCS. A cost function is formulated using expected warranty cost and other relevant cost components incorporating the acceptance criterion. The cost function is optimized following a constrained optimization approach to arrive at the optimum RASP. The constraint ensures that the producer's and the consumer's risks are maintained at agreed-upon levels.,Optimal solution using the above approach is obtained for Type-I GHCS. As a special case of Type-I GHCS, the proposed approach is also used to arrive at the optimal design for Type-I hybrid censoring scheme as shown in Chakrabarty et al. (2019). Observations regarding the change in optimal design and computational times between the two censoring schemes are noted. An extensive simulation study is performed to validate the model for finite sample sizes and the results obtained are found to be in strong agreement. In order to analyze the sensitivity of the optimal solution due to misspecification of parameter values and cost components, a well-designed sensitivity analysis is carried out using a real-life failure data set from Lawless (2003). Interesting observations are made regarding the change in optimal cost due to change in parameter values, the impact of warranty cost in optimal design and change in optimal design due to change in lot sizes.,The research presents an approach for designing optimal RASPs using Type-I generalized hybrid censoring. The study formulates optimum life test sampling plans by minimizing the average aggregate costs involved, which makes it valuable in dealing with real-life problems pertaining to product quality management.

Optimum reliability acceptance sampling plan using Type-I generalized hybrid censoring scheme for products under warranty

The traditional reliability inference based on the metric of mean life between failures for validating suppliers imposes insufficient deliberations on their supplied variability of unit-to-unit fai...

Standardized lifetime-capability and warranty-return-rate-based suppliers qualification and selection with accelerated Weibull-life type II testing data

In this paper we analyze a unified approach to study a family of lifetime distributions of a system consisting of random number of components in series and in parallel proposed by Chowdhury (2014)

Compounded generalized Weibull distributions - A unified approach

Improved lognormal reliability test plans are proposed for lot sentencing. A mixed integer nonlinear programming problem is stated and solved in order to find the duration of the reliability test based on lognormal failure count data that minimises the inspection effort. The maximum number of failures tolerated by the decision maker and the necessary number of devices to be tested are also determined. The producer and consumer risks are limited in advanced, whereas the cost function is essentially a linear combination of the required sample size and test time. The minimum-cost test for device reliability demonstration provides the best criterion to decide the acceptability of manufacturing processes and submitted lots. A quick and effective iterative algorithm is suggested to obtain the optimal reliability demonstration test plan. The developed methodology is applied to the production of microelectronic chips, semiconductor lasers and ball bearings for illustrative purposes.

Optimum lot inspection based on lognormal reliability tests

Power series inverted kumaraswamy distribution with applications to lifetime data

Player rankings are of concern to sports authorities, players and sports enthusiasts, and with commercialisation of sports, rankings are even more important to investors. New variables as well as refinement of existing variables based on certain key performance indicators have been introduced here, upon which the ranking of a player would depend in cricket. Many of these variables have been ignored by the earlier ranking systems, including the most widely used International Cricket Council ranking system. Using a dynamic rather than a static approach of generating factor scores through the factor analysis approach, on a match-by-match basis, this paper ranks batsmen and bowlers who have played One Day International (ODI) cricket during the calendar year 2015.

Key performance indicators for factor score based ranking in One Day International cricket

The selection of an appropriate life test plan is extremely important for any product as it not just improves the quality of the product but also reduces testing costs. In this approach, however, t...

Optimum life test plan for Type-I hybrid censored Weibull distributed products sold under general rebate warranty

In this paper two probability distributions are analyzed which are formed by compounding inverse Weibull with zero-truncated Poisson and geometric distributions. The distributions can be us...

/pdf/compounded-inverse-weibull-distributions-properties-l83o9su4qb.pdf

Jimut Bahan Chakrabarty

Papers

Key performance indicators for factor score based ranking in One Day International cricket

Optimum life test plan for Type-I hybrid censored Weibull distributed products sold under general rebate warranty

Compounded inverse Weibull distributions: Properties, inference and applications

Optimum reliability acceptance sampling plan using Type-I generalized hybrid censoring scheme for products under warranty

Compounded generalized Weibull distributions - A unified approach