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Article
Publication date: 12 October 2021

Waqar Hafeez and Nazrina Aziz

This paper introduces a Bayesian two-sided group chain sampling plan (BT-SGChSP) by using binomial distribution to estimate the average proportion of defectives. In this…

Abstract

Purpose

This paper introduces a Bayesian two-sided group chain sampling plan (BT-SGChSP) by using binomial distribution to estimate the average proportion of defectives. In this Bayesian approach, beta distribution is used as a suitable prior of binomial distribution. The proposed plan considers both consumer's and producer's risks. Currently, group chain sampling plans only consider the consumer's risk and do not account for the producer's risk. All existing plans are used to estimate only a single point, but this plan gives a quality region for the pre-specified values of different design parameters. In other words, instead of point wise description for the designing of sampling plan based on a range of quality by involving a novel approach called quality region.

Design/methodology/approach

The methodology is based on five phases, which are (1) operating procedure, (2) derivation of the probability of lot acceptance, (3) constructing plans for given acceptable quality level (AQL) and limiting quality level (LQL), (4) construction of quality intervals for BT-SGChSP and (5) selection of the sampling plans.

Findings

The findings show that the operating characteristic (OC) curve of BT-SGChSP is more ideal than the existing Bayesian group chain sampling plan because the quality regions for BT-SGChSP give less proportion of defectives for same consumer's and producer's risks.

Research limitations/implications

There are four limitations in this study: first is the use of binomial distribution when deriving the probability of lot acceptance. Alternatively, it can be derived by using distributions such as Poisson, weighted Poisson and weighted binomial. The second is that beta distribution is used as prior distribution. Otherwise, different prior distributions can be used like: Rayleigh, exponential and generalized exponential. The third is that we adopt mean as a quality parameter, whereas median and other quintiles can be used. Forth, this paper considers probabilistic quality region (PQR) and indifference quality region (IQR).

Practical implications

The proposed plan is an alternative of traditional group chain sampling plans that are based on only current lot information. This plan considers current lot information with preceding and succeeding lot and also considers prior information of the product.

Originality/value

This paper first time uses a tight (three acceptance criteria) and introduces a BT-SGChSP to find quality regions for both producer's and consumer's risk.

Details

International Journal of Quality & Reliability Management, vol. ahead-of-print no. ahead-of-print
Type: Research Article
ISSN: 0265-671X

Keywords

Article
Publication date: 1 February 1991

K. Govindaraju and K. Subramani

A table and a procedure are given for finding the single‐sampling quick switching system for which the sum of producer′s and consumer′s risks is minimum for specified…

Abstract

A table and a procedure are given for finding the single‐sampling quick switching system for which the sum of producer′s and consumer′s risks is minimum for specified Acceptable Quality Level and Limiting Quality Level.

Details

International Journal of Quality & Reliability Management, vol. 8 no. 2
Type: Research Article
ISSN: 0265-671X

Keywords

Article
Publication date: 6 September 2011

Muhammad Aslam, Abdur Razzaque Mughal and Munir Ahmad

The purpose of this paper is to propose the group acceptance sampling plans for when the lifetime of the submitted product follows the Pareto distribution.

869

Abstract

Purpose

The purpose of this paper is to propose the group acceptance sampling plans for when the lifetime of the submitted product follows the Pareto distribution.

Design/methodology/approach

The single‐point approach (only consumer's risk) is used to find the plan parameter of the proposed plan for specified values of consumer's risk, producer's risk, acceptance number, number of testers and experiment time.

Findings

Tables are constructed using the Poisson and the weighted Poisson distribution. Extensive tables are provided for practical use.

Research limitations/implications

The tables in this paper can be used only when the lifetime of a product follows the Pareto distribution of 2nd kind.

Practical implications

The result can be used to test the product to save cost and time of the experiment. The use of the weighted Poisson distribution provides the less group size (sample size) as than the plans in the literature.

Social implications

By implementing the proposed plan, the experiment cost can be minimized.

Originality/value

The novelty of this paper is that Poisson and the weighted Poisson distributions are used to find the plan parameter of the proposed plan instead of the binomial distribution when the lifetime of submitted product follows the Pareto distribution of 2nd kind.

Details

International Journal of Quality & Reliability Management, vol. 28 no. 8
Type: Research Article
ISSN: 0265-671X

Keywords

Article
Publication date: 5 August 2019

Amer Al-Omari, Amjad Al-Nasser and Enrico Ciavolino

Lifetime data are used in many different applied sciences, like biomedicine, engineering, insurance and finance and others. The purpose of this paper is to develop a new…

Abstract

Purpose

Lifetime data are used in many different applied sciences, like biomedicine, engineering, insurance and finance and others. The purpose of this paper is to develop a new acceptance sampling plans for Rama distribution when the mean lifetime test is truncated at a pre-determined time. The minimum sample sizes required to assert the specified life mean is obtained for a given customer’s risk. The operating characteristic function values of the sampling plans and producer’s risk are calculated.

Design/methodology/approach

The results are illustrated using numerical examples and a real data set is considered to illustrate the performance of the suggested acceptance sampling plans and how it can be used for the industry applications.

Findings

This paper shows a new acceptance sampling plans based on Rama distribution in the particular case when the mean life time test is truncated.

Originality/value

The results calculated in this paper demonstrate the differences between OC values for different distributions taken into account. In particular, OC values of Rama distribution are found to be less than the proposed distribution counterparts.

Details

International Journal of Quality & Reliability Management, vol. 36 no. 7
Type: Research Article
ISSN: 0265-671X

Keywords

Article
Publication date: 9 October 2020

Mohd Azri Pawan Teh, Nazrina Aziz and Zakiyah Zain

This paper introduces group chain acceptance sampling plans (GChSP) for a truncated life test at preassumed time by using the minimum angle method. The proposed method is…

Abstract

Purpose

This paper introduces group chain acceptance sampling plans (GChSP) for a truncated life test at preassumed time by using the minimum angle method. The proposed method is an approach, where both risks associated with acceptance sampling, namely consumers’ and producer’s risks, are considered. Currently, the GChSP only considers the consumer's risk (CR), which means the current plan only protects the consumer not the producer since it does not take into account the producer's risk (PR) at all.

Design/methodology/approach

There are six phases involved when designing the GChSP, which are (1) identifying the design parameters, (2) implementing the operating procedures, (3) deriving the probability of lot acceptance, (4) deriving the probability of zero or one defective, (5) deriving the proportion defective and (6) measuring the performance.

Findings

The findings show that the optimal number of groups obtained satisfies both parties, i.e. consumer and producer, compared to the established GChSP, where the number of group calculated only satisfies the consumer not the producer.

Research limitations/implications

There are three limitations identified for this paper. The first limitation is the distribution, in which this paper only proposes the GChSP for generalized exponential distribution. It can be extended to different distribution available in the literature. The second limitation is that the paper uses binomial distribution when deriving the probability of lot acceptance. Also, it can be derived by using different distributions such as weighted binomial distribution, Poisson distribution and weighted Poisson distribution. The final limitation is that the paper adopts the mean as a quality parameter. For the quality parameter, researchers have other options such as the median and the percentile.

Practical implications

The proposed GChSP should provide an alternative for the industrial practitioners and for the inspection activity, as they have more options of the sampling plans before they finally decide to select one.

Originality/value

This is the first paper to propose the minimum angle method for the GChSP, where both risks, CR and PR, are considered. The GChSP has been developed since 2015, but all the researchers only considered the CR in their papers.

Details

International Journal of Quality & Reliability Management, vol. 38 no. 5
Type: Research Article
ISSN: 0265-671X

Keywords

Article
Publication date: 1 March 1990

C. Raju

A procedure for designing chain sampling plans, ChSP‐1, is described for situations where one of the parameters, the sample size, is fixed. The procedure involves…

Abstract

A procedure for designing chain sampling plans, ChSP‐1, is described for situations where one of the parameters, the sample size, is fixed. The procedure involves minimisation of the sum of the producer′s risk and consumer′s risk with due weights. Expressions have been derived under binomial and Poisson models, for the parameter i , using which one can obtain the plan for desired values of AQL/LQL weights and sample size. Examples are also given.

Details

International Journal of Quality & Reliability Management, vol. 7 no. 3
Type: Research Article
ISSN: 0265-671X

Keywords

Article
Publication date: 5 June 2017

P.N. Bajeel and Mahesh Kumar

This paper considers a series system consisting of n different components having unknown and variable failure rates, where the lifetime of components follow exponential…

Abstract

Purpose

This paper considers a series system consisting of n different components having unknown and variable failure rates, where the lifetime of components follow exponential distribution having non-constant failure rates. Moreover, the failure rates are bounded by above and are dependent on environmental factors such as temperature, pressure, through linear relationship. The purpose of this paper is to design a component reliability test plan for such a series system with an unknown variable failure rate.

Design/methodology/approach

The reliability of the system is estimated with the help of the unbiased estimator of failure rate. The testing procedure is stopped when a fixed number of failures occur for each component.

Findings

An optimal reliability test plan is designed and the resultant non-linear integer optimization problem is formulated satisfying the constraints of producer’s and consumer’s risks. The obtained results are compared with the results available in the literature. Some examples are considered to illustrate the approach.

Originality/value

It is observed that use of prior information in the form of an upper bound and incorporation of environmental factors have the advantage of savings in the total testing cost.

Details

International Journal of Quality & Reliability Management, vol. 34 no. 6
Type: Research Article
ISSN: 0265-671X

Keywords

Article
Publication date: 1 June 1992

Richard L. Luebbe and Byron J. Finch

Provides an automatic spreadsheet approach to developing acceptance sampling plans. The technique described allows the user to develop the plan using any needed values for…

Abstract

Provides an automatic spreadsheet approach to developing acceptance sampling plans. The technique described allows the user to develop the plan using any needed values for alpha and beta, rather than being limited to those values included in commonly used tables. This allows for more negotiation flexibility and acceptance sampling plans that better fit the needs of customers and producers.

Details

International Journal of Quality & Reliability Management, vol. 9 no. 6
Type: Research Article
ISSN: 0265-671X

Keywords

Article
Publication date: 1 February 1988

Overview All organisations are, in one sense or another, involved in operations; an activity implying transformation or transfer. The major portion of the body of…

3255

Abstract

Overview All organisations are, in one sense or another, involved in operations; an activity implying transformation or transfer. The major portion of the body of knowledge concerning operations relates to production in manufacturing industry but, increasingly, similar problems are to be found confronting managers in service industry. It is only in the last decade or so that new technology, involving, in particular, the computer, has encouraged an integrated view to be taken of the total business. This has led to greater recognition being given to the strategic potential of the operations function. In order to provide greater insight into operations a number of classifications have been proposed. One of these, which places operations into categories termed factory, job shop, mass service and professional service, is examined. The elements of operations management are introduced under the headings of product, plant, process, procedures and people.

Details

Management Decision, vol. 26 no. 2
Type: Research Article
ISSN: 0025-1747

Article
Publication date: 29 September 2020

Nigel P. Grigg

The purpose of this paper is to present a literature review demonstrating that quality and its management are increasingly definable as a balancing act between value, risk

Abstract

Purpose

The purpose of this paper is to present a literature review demonstrating that quality and its management are increasingly definable as a balancing act between value, risk and cost throughout the value stream, from product/service design to production and delivery, and purchaser decision-making. An original framework is presented showing this interplay across the value stream, referred to as the QVRC framework.

Design/methodology/approach

Content analysis is combined with bibliometric analytics, displayed via temporal graphs and citation networks. Reviewed literature is transdisciplinary, encompassing marketing, operations/quality and psychology sources. Core quality management methodologies are positioned on the framework illustrating their relative contribution to value, risk and cost management.

Findings

The QVRC framework is developed, and used as a basis for classifying models and methodologies associated with quality management. A set of propositions are developed, which, together with the framework, set an agenda for further research.

Research limitations/implications

No literature review can capture the richness of discourses on terms as pervasive as value, risk and cost. This paper aims to present a systematic and reliable sampling of such literature.

Practical implications

The resulting model can be applied to management tools, and to products and services.

Originality/value

Researchers, particularly in marketing, have developed models of value, risk and cost in terms of products and services. However, delivering products that provide the appropriate value, risk and cost trade-off is an operations management problem. This is the first paper to combine value, risk and cost across the value stream showing how this interplay extends beyond product.

Details

International Journal of Quality & Reliability Management, vol. 38 no. 5
Type: Research Article
ISSN: 0265-671X

Keywords

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