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Reliability Analysis of the Engineering Systems Using Intuitionistic Fuzzy Set Theory (2013)

Harish Garg, Monica Rani, and S. P. Sharma

Hindawi

In: International Journal of Quality, Statistics, and Reliability

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Publication Date: 2013-09-12

Description: The present paper investigates the reliability analysis of industrial systems by using vague lambda-tau methodology in which information related to system components is uncertain and imprecise in nature. The uncertainties in the data are handled with the help of intuitionistic fuzzy set (IFS) theory rather than fuzzy set theory. Various reliability parameters are addressed for strengthening the analysis in terms of degree of acceptance and rejection of IFS. Performance as well as sensitivity analysis of the system parameter has been investigated for accessing the impact of taking wrong combinations on its performance. Finally results are compared with the existing traditional crisp and fuzzy methodologies results. The technique has been demonstrated through a case study of bleaching unit of a paper mill.

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Electronic ISSN: 1687-7152

Topics: Mathematics

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Productivity Improvement of a Special Purpose Machine Using DMAIC Principles: A Case Study (2013)

Sunil Dambhare, Siddhant Aphale, Kiran Kakade, Tejas Thote, and Atul Borade

Hindawi

In: International Journal of Quality, Statistics, and Reliability

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Publication Date: 2013-09-13

Description: Six Sigma is one of the popular methodologies used by the companies to improve the quality and productivity. It uses a detailed analysis of the process to determine the causes of the problem and proposes a successful improvement. Various approaches are adopted while following Six Sigma methodologies and one of them is DMAIC. The successful implementation of DMAIC and FTA is discussed in this paper. In this study, the major problem was of continuous rework up to 16%, which was leading to wastage of man hours and labor cost. Initially, fault tree analysis (FTA) was used to detect the key process input variables (KPIVs) affecting the output. Multivariable regression analysis was performed to know the possible relationship between the KPIVs and the output. The DMAIC methodology was successfully implemented to reduce the rework from 16% bores per month to 2.20% bores per month. The other problem of nonuniform step bores was also reduced significantly.

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Topics: Mathematics

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A Review of Quality Criteria Supporting Supplier Selection (2013)

Mohammad Abdolshah

Hindawi

In: International Journal of Quality, Statistics, and Reliability

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Publication Date: 2013-06-07

Description: This paper presents a review of decision criteria reported in the literature for supporting the supplier selection process. The review is based on an extensive search in the academic literature. After a literature review of decision criteria, we discuss the most important criteria: quality. Then different methods and factors for assessing the quality of supplier are discussed. Results showed that all methods and factors mentioned in this paper are not appropriate tools for quality evaluation. Moreover, we propose a novel method (using loss functions) in order to assess the quality of suppliers.

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Topics: Mathematics

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Robust Control Charts for Monitoring Process Mean of Phase-I Multivariate Individual Observations (2013)

Asokan Mulayath Variyath and Jayasankar Vattathoor

Hindawi

In: International Journal of Quality, Statistics, and Reliability

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Publication Date: 2013-06-10

Description: Hoteling's control charts are widely used in industries to monitor multivariate processes. The classical estimators, sample mean, and the sample covariance used in control charts are highly sensitive to the outliers in the data. In Phase-I monitoring, control limits are arrived at using historical data after identifying and removing the multivariate outliers. We propose Hoteling's control charts with high-breakdown robust estimators based on the reweighted minimum covariance determinant (RMCD) and the reweighted minimum volume ellipsoid (RMVE) to monitor multivariate observations in Phase-I data. We assessed the performance of these robust control charts based on a large number of Monte Carlo simulations by considering different data scenarios and found that the proposed control charts have better performance compared to existing methods.

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Topics: Mathematics

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A Procedure for the Selection of Single Sampling Plans by Variables Based on Pareto Distribution (2013)

Geetha Sathya Narayanan and Vijayaraghavan Rajarathinam

Hindawi

In: International Journal of Quality, Statistics, and Reliability

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Publication Date: 2013-09-23

Description: Product control in statistical quality control is the methodology that deals with procedures for taking decisions about one or more lots of finished products manufactured by production processes. Sampling inspection by variables is one of the major classifications of product control and comprises procedures for deciding about the disposition of a lot of individual units based on sample measurements of units on a quality characteristic under study. These procedures are defined under the assumption that the quality characteristic is measurable on a continuous scale, and the functional form of the probability distribution must be known. Inspection procedures which have been developed under the implicit assumption that the quality characteristic is distributed as normal with the related properties are found in the literature of product control. The assumption of normality may not be realized often in practice, and it becomes indispensable to investigate the properties of sampling plans based on nonnormal distributions. In this paper, a single sampling plan by variables is formulated and evaluated when the quality characteristic is assumed to be distributed according to a Pareto distribution. A procedure is developed for determining the parameters of the plan for specified requirements to ensure protection to both the producer and consumer.

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Topics: Mathematics

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Study on Posbist Systems (2013)

Subarna Bhattacharjee, Asok K. Nanda, and S. S. Alam

Hindawi

In: International Journal of Quality, Statistics, and Reliability

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Publication Date: 2013-02-26

Description: The probability theory, in general, with the help of the dichotomous state develops the theory of reliability. Recently, the fuzzy reliability has been developed based on the concept of possibility distribution and fuzzy-state assumption. In this paper, we derive the possibility distribution function and discuss the properties of a -out-of- () system based on the assumption of the possibility theory and keeping the dichotomous state of the system unchanged when the lifetime distribution is either normal, Cauchy, or exponential. A few results contrary to the conventional reliability theory are obtained.

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Topics: Mathematics

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Interval and Point Estimators for the Location Parameter of the Three-Parameter Lognormal Distribution (2013)

Zhenmin Chen and Feng Miao

Hindawi

In: International Journal of Quality, Statistics, and Reliability

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Publication Date: 2013-02-26

Description: The three-parameter lognormal distribution is the extension of the two-parameter lognormal distribution to meet the need of the biological, sociological, and other fields. Numerous research papers have been published for the parameter estimation problems for the lognormal distributions. The inclusion of the location parameter brings in some technical difficulties for the parameter estimation problems, especially for the interval estimation. This paper proposes a method for constructing exact confidence intervals and exact upper confidence limits for the location parameter of the three-parameter lognormal distribution. The point estimation problem is discussed as well. The performance of the point estimator is compared with the maximum likelihood estimator, which is widely used in practice. Simulation result shows that the proposed method is less biased in estimating the location parameter. The large sample size case is discussed in the paper.

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Topics: Mathematics

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On Bayesian Analysis of Burr Type VII Distribution under Different Censoring Schemes (2013)

Navid Feroze and Muhammad Aslam

Hindawi

In: International Journal of Quality, Statistics, and Reliability

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Publication Date: 2013-02-26

Description: This paper includes the Bayesian analysis of Burr type VII distribution. Three censoring schemes, namely, left censoring, singly type II censoring, and doubly type II censoring have been used for posterior estimation. The results of different censoring schemes have been compared with those under complete samples. The comparative study among the performance of different censoring schemes has also been made. Two noninformative (uniform and Jeffreys) priors have been assumed to derive the posterior distributions under each case. The performance of Bayes estimators has been compared in terms of posterior risks under a simulation study.

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Topics: Mathematics

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The Relationship between Health and Household Economic Status Using Spatial Measures in Iraq, 2004 (2013)

Faisal G. Khamis

Hindawi

In: International Journal of Quality, Statistics, and Reliability

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Publication Date: 2013-02-26

Description: This study addresses spatial effects by applying spatial analysis in studying whether household economic status (HES) is related to health across governorates in Iraq. The aim is to assess variation in health and whether this variation is accounted for by variation in HES. A spatial univariate and bivariate autocorrelation measures were applied to cross-sectional data from census conducted in 2004. The hypothesis of spatial clustering for HES was confirmed by a positive global Moran’s

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Nonparametric Confidence Limits of Quantile-Based Process Capability Indices (2013)

Cheng Peng and Jiaqing Xu

Hindawi

In: International Journal of Quality, Statistics, and Reliability

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Publication Date: 2013-02-26

Description: We propose an asymptotic nonparametric confidence interval for quantile-based process capability indices (PCIs) based on the superstructure

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Topics: Mathematics

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