Pub Date : 2022-06-07DOI: 10.1080/16843703.2022.2072632
A. Attia, M. A. Abdel-Aal
ABSTRACT Control charts are one of the most commonly used statistical process control (SPC) tools in industry or service sectors to improve quality and productivity. The control chart design of a particular process is a well-established and vibrant area of research. It considers the techniques that allow decision-makers to decide on the optimal values of the design parameters. However, these design techniques are not reliable in a dynamic production environment. In such cases, the Robust Economic Control Chart Design (RECCD) approach is more reliable because it considers all possible scenarios of model parameters. This paper aims to develop a RECCD model for np-chart design to mitigate the risks associated with the uncertainty in the economic and process parameters of the production environment. A case study from an automotive manufacturer is used, and sensitivity analysis is carried out to show the effectiveness of the RECCD technique for the np-chart design. It has been shown that the proposed approach can achieve a 45.56% reduction in the total cost compared to the traditional design.
{"title":"Robust economic design of NP-chart under different process and economic parameters scenarios","authors":"A. Attia, M. A. Abdel-Aal","doi":"10.1080/16843703.2022.2072632","DOIUrl":"https://doi.org/10.1080/16843703.2022.2072632","url":null,"abstract":"ABSTRACT Control charts are one of the most commonly used statistical process control (SPC) tools in industry or service sectors to improve quality and productivity. The control chart design of a particular process is a well-established and vibrant area of research. It considers the techniques that allow decision-makers to decide on the optimal values of the design parameters. However, these design techniques are not reliable in a dynamic production environment. In such cases, the Robust Economic Control Chart Design (RECCD) approach is more reliable because it considers all possible scenarios of model parameters. This paper aims to develop a RECCD model for np-chart design to mitigate the risks associated with the uncertainty in the economic and process parameters of the production environment. A case study from an automotive manufacturer is used, and sensitivity analysis is carried out to show the effectiveness of the RECCD technique for the np-chart design. It has been shown that the proposed approach can achieve a 45.56% reduction in the total cost compared to the traditional design.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"20 1","pages":"53 - 65"},"PeriodicalIF":2.8,"publicationDate":"2022-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46445511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-01DOI: 10.1080/16843703.2022.2075193
H. Sabahno, G. Celano
ABSTRACT The coefficient of variation is a very important process parameter in many processes. A few control charts have been considered so far for monitoring its multivariate counterpart, i.e., the multivariate coefficient of variation (MCV). In addition, autocorrelation is very likely to occur in processes with high sampling frequency. Hence, designing suitable control charts and investigating the effect of autocorrelation on these charts is necessary. However, no control chart has been developed so far for the coefficient of variation that is capable of accounting for autocorrelation in either univariate or multivariate cases. This paper fills the gap by developing multivariate Shewhart-type control charts to monitor MCV with different autocorrelation structures for the observations: vector autoregressive, vector moving average, and vector mixed autoregressive and moving average. In addition, we add variable parameters adaptive features to the Shewhart-type scheme, in order to improve its performance. We develop a Markov chain model to get the statistical performance measures; then, we perform extensive numerical analyses to evaluate the effect of autocorrelation on adaptive and non-adaptive charts in the presence of downward and upward MCV shifts. Finally, we present an illustrative example from a healthcare process to show the implementation of this scheme in real practice.
{"title":"Monitoring the multivariate coefficient of variation in presence of autocorrelation with variable parameters control charts","authors":"H. Sabahno, G. Celano","doi":"10.1080/16843703.2022.2075193","DOIUrl":"https://doi.org/10.1080/16843703.2022.2075193","url":null,"abstract":"ABSTRACT The coefficient of variation is a very important process parameter in many processes. A few control charts have been considered so far for monitoring its multivariate counterpart, i.e., the multivariate coefficient of variation (MCV). In addition, autocorrelation is very likely to occur in processes with high sampling frequency. Hence, designing suitable control charts and investigating the effect of autocorrelation on these charts is necessary. However, no control chart has been developed so far for the coefficient of variation that is capable of accounting for autocorrelation in either univariate or multivariate cases. This paper fills the gap by developing multivariate Shewhart-type control charts to monitor MCV with different autocorrelation structures for the observations: vector autoregressive, vector moving average, and vector mixed autoregressive and moving average. In addition, we add variable parameters adaptive features to the Shewhart-type scheme, in order to improve its performance. We develop a Markov chain model to get the statistical performance measures; then, we perform extensive numerical analyses to evaluate the effect of autocorrelation on adaptive and non-adaptive charts in the presence of downward and upward MCV shifts. Finally, we present an illustrative example from a healthcare process to show the implementation of this scheme in real practice.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"20 1","pages":"184 - 210"},"PeriodicalIF":2.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48102166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-18DOI: 10.1080/16843703.2022.2071536
Han Wang, Xiaobing Ma, Rui Bao, K. Zhou
ABSTRACT Mechanism equivalence analysis, focusing on the underlying quantitative relationship between degradation model parameters under different stress levels when the accelerated failure mechanism remains unchanged, has been developed and adopted widely in accelerated degradation tests (ADTs) over recent years. For a specific degradation process, the mechanism equivalence conditions can be derived based on the acceleration factor invariant principle and further utilized to test whether the accelerated failure mechanism remains unchanged or not under different stress levels. In this paper, a unified form of the mechanism equivalence conditions for commonly-used stochastic process models is derived based on Tweedie exponential dispersion process. The unified form can cover the conditions of Wiener, Gamma and inverse Gaussian processes, etc. Based on this, a complete procedure for mechanism equivalence test of ADT is proposed through the joint application of normality test and parameter hypothesis tests. In this way, the availability of the ADT data can be distinguished before using them for lifetime prediction of products. In addition, the effects caused by degradation model mis-specification and ADT data misuse are further analyzed from the perspective of relative error. A simulation example and two real-world case studies are used to demonstrate the effectiveness of the proposed methods.
{"title":"Mechanism equivalence analysis for accelerated degradation tests based on tweedie exponential dispersion process","authors":"Han Wang, Xiaobing Ma, Rui Bao, K. Zhou","doi":"10.1080/16843703.2022.2071536","DOIUrl":"https://doi.org/10.1080/16843703.2022.2071536","url":null,"abstract":"ABSTRACT Mechanism equivalence analysis, focusing on the underlying quantitative relationship between degradation model parameters under different stress levels when the accelerated failure mechanism remains unchanged, has been developed and adopted widely in accelerated degradation tests (ADTs) over recent years. For a specific degradation process, the mechanism equivalence conditions can be derived based on the acceleration factor invariant principle and further utilized to test whether the accelerated failure mechanism remains unchanged or not under different stress levels. In this paper, a unified form of the mechanism equivalence conditions for commonly-used stochastic process models is derived based on Tweedie exponential dispersion process. The unified form can cover the conditions of Wiener, Gamma and inverse Gaussian processes, etc. Based on this, a complete procedure for mechanism equivalence test of ADT is proposed through the joint application of normality test and parameter hypothesis tests. In this way, the availability of the ADT data can be distinguished before using them for lifetime prediction of products. In addition, the effects caused by degradation model mis-specification and ADT data misuse are further analyzed from the perspective of relative error. A simulation example and two real-world case studies are used to demonstrate the effectiveness of the proposed methods.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"722 - 748"},"PeriodicalIF":2.8,"publicationDate":"2022-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43806097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-17DOI: 10.1080/16843703.2022.2071526
L. C. Méndez-González, L. A. Rodríguez-Picón, I. J. C. Pérez-Olguín, L. Pérez-Domínguez, David Luviano Cruz
ABSTRACT This paper presents a life-stress methodology that models the failure rate in the form of a bathtub curve. The model consists of the Alpha Power Transformation (APT), which adds an extra parameter to the probability distributions to achieve better flexibility in the representation in the data analysis. To build the life–stress relationship, the APT is combined with the Weibull Distribution (WD) and the Inverse Power Law (IPL) as a stress model to relate the data from the accelerated life tests (ALT), thus presenting the APTW-IPL. Statistical properties of the APTW-IPL are analyzed and discussed. For the parameter estimation of APTW-IPL, the Maximum Likelihood Estimator was used. On the other hand, to test the efficacy of the APTW-IPL, the model is compared with other methodologies that describe the behavior of the bathtub curve in two case studies related to determining the behavior of electronic devices that were subjected to ALT. The results show that the APTW-IPL can be a good option for reliability analysis in electronic devices. It represents the failure times in the form of a bathtub curve, the value of MTTF, and fitting the distribution to the case study data.
{"title":"The alpha power Weibull transformation distribution applied to describe the behavior of electronic devices under voltage stress profile","authors":"L. C. Méndez-González, L. A. Rodríguez-Picón, I. J. C. Pérez-Olguín, L. Pérez-Domínguez, David Luviano Cruz","doi":"10.1080/16843703.2022.2071526","DOIUrl":"https://doi.org/10.1080/16843703.2022.2071526","url":null,"abstract":"ABSTRACT This paper presents a life-stress methodology that models the failure rate in the form of a bathtub curve. The model consists of the Alpha Power Transformation (APT), which adds an extra parameter to the probability distributions to achieve better flexibility in the representation in the data analysis. To build the life–stress relationship, the APT is combined with the Weibull Distribution (WD) and the Inverse Power Law (IPL) as a stress model to relate the data from the accelerated life tests (ALT), thus presenting the APTW-IPL. Statistical properties of the APTW-IPL are analyzed and discussed. For the parameter estimation of APTW-IPL, the Maximum Likelihood Estimator was used. On the other hand, to test the efficacy of the APTW-IPL, the model is compared with other methodologies that describe the behavior of the bathtub curve in two case studies related to determining the behavior of electronic devices that were subjected to ALT. The results show that the APTW-IPL can be a good option for reliability analysis in electronic devices. It represents the failure times in the form of a bathtub curve, the value of MTTF, and fitting the distribution to the case study data.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"692 - 721"},"PeriodicalIF":2.8,"publicationDate":"2022-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49431952","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-04DOI: 10.1080/16843703.2022.2052585
Y. Tripathi, C. Petropoulos, M. Jha
ABSTRACT The problem of estimating a stress-strength parameter is considered under the assumption that both stress and strength variables follow independent lognormal distributions. The maximum likelihood estimator of this parametric function is obtained and based on its asymptotic distribution, approximate intervals are constructed. Properties of a heuristic estimator are studied as well. Bootstrap intervals are also constructed. Bayes estimator is derived against proper and improper prior distributions. We further compute credible intervals of stress–strength parameter using importance sampling. The empirical Bayes procedure is also discussed. Proposed point and interval estimators are compared numerically using Monte Carlo simulations. Analysis of a real data set is presented for illustration purposes.
{"title":"Estimation of P(Y<X) for lognormal distribution","authors":"Y. Tripathi, C. Petropoulos, M. Jha","doi":"10.1080/16843703.2022.2052585","DOIUrl":"https://doi.org/10.1080/16843703.2022.2052585","url":null,"abstract":"ABSTRACT The problem of estimating a stress-strength parameter is considered under the assumption that both stress and strength variables follow independent lognormal distributions. The maximum likelihood estimator of this parametric function is obtained and based on its asymptotic distribution, approximate intervals are constructed. Properties of a heuristic estimator are studied as well. Bootstrap intervals are also constructed. Bayes estimator is derived against proper and improper prior distributions. We further compute credible intervals of stress–strength parameter using importance sampling. The empirical Bayes procedure is also discussed. Proposed point and interval estimators are compared numerically using Monte Carlo simulations. Analysis of a real data set is presented for illustration purposes.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"749 - 765"},"PeriodicalIF":2.8,"publicationDate":"2022-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47978178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-04-26DOI: 10.1080/16843703.2021.1981529
Ali Mohammadi, M. R. Salehi Rad
ABSTRACT This article studies a transient state queueing model with sequential heterogeneous service phase and vacations. According to a Poisson process, entrants, each arrival is serviced sequentially in k phases in the order of arrival. The service times follow a general distribution function. Upon completion of the service, the server could take a vacation with the probability and remain in the system to provide service to other customers with the probability . For this model, first, we obtain the Laplace transform of the probability generating functions. The probability generating functions of system sizes are obtained for a special case in the transient state. The mean system size is obtained by using numerical analysis. Then, the sensitivity of the model is considered.
{"title":"An M/G/1 queueing model with k sequential heterogeneous service steps and vacations in the transient state","authors":"Ali Mohammadi, M. R. Salehi Rad","doi":"10.1080/16843703.2021.1981529","DOIUrl":"https://doi.org/10.1080/16843703.2021.1981529","url":null,"abstract":"ABSTRACT This article studies a transient state queueing model with sequential heterogeneous service phase and vacations. According to a Poisson process, entrants, each arrival is serviced sequentially in k phases in the order of arrival. The service times follow a general distribution function. Upon completion of the service, the server could take a vacation with the probability and remain in the system to provide service to other customers with the probability . For this model, first, we obtain the Laplace transform of the probability generating functions. The probability generating functions of system sizes are obtained for a special case in the transient state. The mean system size is obtained by using numerical analysis. Then, the sensitivity of the model is considered.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"633 - 647"},"PeriodicalIF":2.8,"publicationDate":"2022-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60299905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-04-25DOI: 10.1080/16843703.2022.2051846
Debolina Chatterjee, J. Sarkar
ABSTRACT A system is experiencing two kinds of sporadic impacts: valid shocks that cause damage instantaneously, and positive interventions that induce partial healing. Whereas each shock inflicts a fixed magnitude of damage, the accumulated effect of positive interventions nullify the damaging effect of one shock. The system is said to be in stage 1, when it can possibly heal, until the net count of impacts (valid shocks registered minus valid shocks nullified) reaches a threshold . Thereafter, the system enters stage 2, when no more healing is possible. The system fails when the net count of valid shocks reaches another threshold . The inter-arrival times between successive valid shocks and those between successive positive interventions are independent and follow arbitrary distributions; thereby we remove the restrictive assumption of exponential distributions often found in the literature. We find the distributions of the sojourn time in stage 1 and the failure time of the system. Finally, we find the optimal values of choice variables that minimize the expected maintenance cost per unit time for three different maintenance policies.
{"title":"Optimal replacement policies for systems under sporadic shocks and healing impetus","authors":"Debolina Chatterjee, J. Sarkar","doi":"10.1080/16843703.2022.2051846","DOIUrl":"https://doi.org/10.1080/16843703.2022.2051846","url":null,"abstract":"ABSTRACT A system is experiencing two kinds of sporadic impacts: valid shocks that cause damage instantaneously, and positive interventions that induce partial healing. Whereas each shock inflicts a fixed magnitude of damage, the accumulated effect of positive interventions nullify the damaging effect of one shock. The system is said to be in stage 1, when it can possibly heal, until the net count of impacts (valid shocks registered minus valid shocks nullified) reaches a threshold . Thereafter, the system enters stage 2, when no more healing is possible. The system fails when the net count of valid shocks reaches another threshold . The inter-arrival times between successive valid shocks and those between successive positive interventions are independent and follow arbitrary distributions; thereby we remove the restrictive assumption of exponential distributions often found in the literature. We find the distributions of the sojourn time in stage 1 and the failure time of the system. Finally, we find the optimal values of choice variables that minimize the expected maintenance cost per unit time for three different maintenance policies.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"648 - 664"},"PeriodicalIF":2.8,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45594892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-04-24DOI: 10.1080/16843703.2022.2054088
A. Bouchentouf, Mohamed Boualem, Lahcene Yahiaoui, Hijaz Ahmad
ABSTRACT Working vacation queues with breakdowns and customers impatience have many applications in different real-life situations. The development of these models to determine their performance is extremely important. In this paper, we deal with a finite population Markovian multi-server machine system with breakdowns, repairs, Bernoulli feedback, balking, reneging, and retention of reneged customers, under multiple synchronous working vacations. The investigated model has a potential application in the real-world machine systems, such as the automated manufacturing systems with limited space. For the analysis purpose, we employ Q-matrix method in order to obtain the steady-state probabilities as well as closed-form expressions for several system characteristics. Particular cases of the current study are presented. We construct the expected cost function and develop an optimization problem to determine the optimum cost. The direct search method and the Quasi–Newton method are applied to find the optimum system capacity, the minimum number of servers, and the optimum service rates during both working vacation and regular busy periods at minimum cost. Lastly, a sensitivity analysis for the numerical simulation is carried out.
{"title":"A multi-station unreliable machine model with working vacation policy and customers’ impatience","authors":"A. Bouchentouf, Mohamed Boualem, Lahcene Yahiaoui, Hijaz Ahmad","doi":"10.1080/16843703.2022.2054088","DOIUrl":"https://doi.org/10.1080/16843703.2022.2054088","url":null,"abstract":"ABSTRACT Working vacation queues with breakdowns and customers impatience have many applications in different real-life situations. The development of these models to determine their performance is extremely important. In this paper, we deal with a finite population Markovian multi-server machine system with breakdowns, repairs, Bernoulli feedback, balking, reneging, and retention of reneged customers, under multiple synchronous working vacations. The investigated model has a potential application in the real-world machine systems, such as the automated manufacturing systems with limited space. For the analysis purpose, we employ Q-matrix method in order to obtain the steady-state probabilities as well as closed-form expressions for several system characteristics. Particular cases of the current study are presented. We construct the expected cost function and develop an optimization problem to determine the optimum cost. The direct search method and the Quasi–Newton method are applied to find the optimum system capacity, the minimum number of servers, and the optimum service rates during both working vacation and regular busy periods at minimum cost. Lastly, a sensitivity analysis for the numerical simulation is carried out.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"766 - 796"},"PeriodicalIF":2.8,"publicationDate":"2022-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43364709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-04-18DOI: 10.1080/16843703.2022.2058720
samrad Jafarian-Namin, M. Fallahnezhad, R. Tavakkoli-Moghaddam, A. Salmasnia
ABSTRACT Organizations that achieved higher capabilities to meet expectations by successfully implementing quality improvement plans can make adjustments to process monitoring without any losses for customers. This approach may reduce costs due to desensitization in monitoring. In this regard, the acceptance control chart (ACC) under the assumptions of independence and normality has already been introduced. However, in practice, particular correlation patterns can be extracted among samples that violate the assumption of independence. Autocorrelation reduces the performance of traditional control charts. In the present study, three types of ACC are extended for monitoring the mean of the most widely used autocorrelated processes. The performance of the proposed charts is evaluated using statistical measures. It is found that the residual-based exponentially weighted moving average ACC (R-EWMA-ACC) has the best performance. Also, two numerical examples illustrate its application. Moreover, optimizing the economic-statistical model indicates that the R-EWMA-ACC spends less than the ARMA control chart.
{"title":"Desensitized control charts with operational importance for autocorrelated processes","authors":"samrad Jafarian-Namin, M. Fallahnezhad, R. Tavakkoli-Moghaddam, A. Salmasnia","doi":"10.1080/16843703.2022.2058720","DOIUrl":"https://doi.org/10.1080/16843703.2022.2058720","url":null,"abstract":"ABSTRACT Organizations that achieved higher capabilities to meet expectations by successfully implementing quality improvement plans can make adjustments to process monitoring without any losses for customers. This approach may reduce costs due to desensitization in monitoring. In this regard, the acceptance control chart (ACC) under the assumptions of independence and normality has already been introduced. However, in practice, particular correlation patterns can be extracted among samples that violate the assumption of independence. Autocorrelation reduces the performance of traditional control charts. In the present study, three types of ACC are extended for monitoring the mean of the most widely used autocorrelated processes. The performance of the proposed charts is evaluated using statistical measures. It is found that the residual-based exponentially weighted moving average ACC (R-EWMA-ACC) has the best performance. Also, two numerical examples illustrate its application. Moreover, optimizing the economic-statistical model indicates that the R-EWMA-ACC spends less than the ARMA control chart.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"665 - 691"},"PeriodicalIF":2.8,"publicationDate":"2022-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43205090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-04-11DOI: 10.1080/16843703.2022.2033404
Fupeng Xie, P. Castagliola, Zhonghua Li, Jinsheng Sun, Xuelong Hu
ABSTRACT One-sided type schemes are known to be more appropriate for monitoring a process when the direction of a potential mean shift can be anticipated. The one-sided adaptive truncated exponentially weighted moving average (ATEWMA) scheme recommended in this paper is a control chart that combines a Shewhart scheme and a new one-sided EWMA scheme together in a smooth way for rapidly detecting the upward (or downward) mean shifts. The truncation method used in this paper helps to improve the sensitivity of the recommended scheme for detecting both small and large mean shifts simultaneously. To further improve the detection efficiency of the recommended scheme, we also suggest integrating a variable sampling interval (VSI) feature into the recommended scheme. Markov chain models are established to analyze the run length (RL) properties of the recommended scheme in both the zero-state and the steady-state cases. Comparison results show that the recommended one-sided ATEWMA scheme works better than the conventional adaptive EWMA (AEWMA) chart and the improved one-sided EWMA chart in detecting a wide range of mean shifts. Finally, a numerical example is presented to illustrate the usage of the proposed one-sided ATEWMA scheme for detecting process mean shifts.
{"title":"One-sided Adaptive Truncated Exponentially Weighted Moving Average X¯ Schemes for Detecting Process Mean Shifts","authors":"Fupeng Xie, P. Castagliola, Zhonghua Li, Jinsheng Sun, Xuelong Hu","doi":"10.1080/16843703.2022.2033404","DOIUrl":"https://doi.org/10.1080/16843703.2022.2033404","url":null,"abstract":"ABSTRACT One-sided type schemes are known to be more appropriate for monitoring a process when the direction of a potential mean shift can be anticipated. The one-sided adaptive truncated exponentially weighted moving average (ATEWMA) scheme recommended in this paper is a control chart that combines a Shewhart scheme and a new one-sided EWMA scheme together in a smooth way for rapidly detecting the upward (or downward) mean shifts. The truncation method used in this paper helps to improve the sensitivity of the recommended scheme for detecting both small and large mean shifts simultaneously. To further improve the detection efficiency of the recommended scheme, we also suggest integrating a variable sampling interval (VSI) feature into the recommended scheme. Markov chain models are established to analyze the run length (RL) properties of the recommended scheme in both the zero-state and the steady-state cases. Comparison results show that the recommended one-sided ATEWMA scheme works better than the conventional adaptive EWMA (AEWMA) chart and the improved one-sided EWMA chart in detecting a wide range of mean shifts. Finally, a numerical example is presented to illustrate the usage of the proposed one-sided ATEWMA scheme for detecting process mean shifts.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"533 - 561"},"PeriodicalIF":2.8,"publicationDate":"2022-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45776469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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