Pub Date : 2022-03-22DOI: 10.1080/16843703.2022.2046308
F. P. Barbhuiya, N. Kumar, U. C. Gupta
ABSTRACT We consider an infinite buffer queueing system consisting of multiple number of identical servers and a common queue. The customers’ arrival into the system follows renewal process, whereas the service time is exponentially distributed. The servers provide service according to threshold policy where all the servers together go to an idle state when the system becomes empty and they resume service only when customers are accumulated in the queue. We perform the steady-state analysis of the model using two well-known methods namely, supplementary variable and difference equation technique, to evaluate the probability distribution of the system-content at different epochs. We also obtain the Laplace-Stieltjes transform of waiting time distribution along with other system characteristics. The expected cost model is also formulated and dealt with numerically in order to obtain the optimum threshold value. Finally, with the help of certain numerical examples, the influence of model parameters on the system behavior is studied and the managerial implications of the model is discussed.
{"title":"Analysis of the GI/M/c queue with N-threshold policy","authors":"F. P. Barbhuiya, N. Kumar, U. C. Gupta","doi":"10.1080/16843703.2022.2046308","DOIUrl":"https://doi.org/10.1080/16843703.2022.2046308","url":null,"abstract":"ABSTRACT We consider an infinite buffer queueing system consisting of multiple number of identical servers and a common queue. The customers’ arrival into the system follows renewal process, whereas the service time is exponentially distributed. The servers provide service according to threshold policy where all the servers together go to an idle state when the system becomes empty and they resume service only when customers are accumulated in the queue. We perform the steady-state analysis of the model using two well-known methods namely, supplementary variable and difference equation technique, to evaluate the probability distribution of the system-content at different epochs. We also obtain the Laplace-Stieltjes transform of waiting time distribution along with other system characteristics. The expected cost model is also formulated and dealt with numerically in order to obtain the optimum threshold value. Finally, with the help of certain numerical examples, the influence of model parameters on the system behavior is studied and the managerial implications of the model is discussed.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"490 - 510"},"PeriodicalIF":2.8,"publicationDate":"2022-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45315655","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 : 2022-03-11DOI: 10.1080/16843703.2022.2034260
Liying Wang, Yushuang Song, Zhaona Pei
ABSTRACT Within a certain period of time after products are sold, many manufacturers offer free repairing, replacing and refunding for the defective products, referred to as three guarantees service. Under the assumption that the working states of the product can be partitioned into three non-overlapping sets and its degradation can be modeled by homogeneous Markov chain, a three-stage and conditioned-based warranty model is proposed. Under the model, the whole warranty period is divided into a compulsory replacement period, a condition-based maintenance period, and a minimal repair period. Over the condition-based maintenance period, depending on the state set that the working state before the failure belongs to, failed products are rectified minimally, imperfectly, replaced by an identical one and the warranty terms are renewed, respectively. Markov process and renewal process theories are used to analyze the failure process and the warranty servicing cost over the whole warranty period. Based on double Riemann sum, a recursive algorithm for finding the optimal partition method of working states and the warranty period is proposed. A numerical example is given to illustrate the validity of the warranty strategy.
{"title":"Optimal condition-based warranty policy for multi-state products with three guarantees service","authors":"Liying Wang, Yushuang Song, Zhaona Pei","doi":"10.1080/16843703.2022.2034260","DOIUrl":"https://doi.org/10.1080/16843703.2022.2034260","url":null,"abstract":"ABSTRACT Within a certain period of time after products are sold, many manufacturers offer free repairing, replacing and refunding for the defective products, referred to as three guarantees service. Under the assumption that the working states of the product can be partitioned into three non-overlapping sets and its degradation can be modeled by homogeneous Markov chain, a three-stage and conditioned-based warranty model is proposed. Under the model, the whole warranty period is divided into a compulsory replacement period, a condition-based maintenance period, and a minimal repair period. Over the condition-based maintenance period, depending on the state set that the working state before the failure belongs to, failed products are rectified minimally, imperfectly, replaced by an identical one and the warranty terms are renewed, respectively. Markov process and renewal process theories are used to analyze the failure process and the warranty servicing cost over the whole warranty period. Based on double Riemann sum, a recursive algorithm for finding the optimal partition method of working states and the warranty period is proposed. A numerical example is given to illustrate the validity of the warranty strategy.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"473 - 489"},"PeriodicalIF":2.8,"publicationDate":"2022-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43610671","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 : 2022-03-11DOI: 10.1080/16843703.2022.2040702
M. Maleki, A. Salmasnia, Shayesteh Yarmohammadi Saber
ABSTRACT The presence of measurement errors can seriously alter the statistical performance of Phase II control charts. Up today, no research on designing the triple sampling control charts taking into account the gauge measurement errors is reported in the existing literature. In this paper, we study the adverse effect of measurement errors on detecting performance of triple sampling (TS)- control chart based on an additive covariate model. Three multiple measurement based triple sampling (MMBTS) schemes are developed to reduce the undesired impact of gauge inability on detecting performance of TS- chart. Through simulation studies in terms of average run length (ARL) and standard deviation of run length (SDRL), it is indicated that the run length characteristics of the TS- is significantly affected by the measurement errors. The results also confirm that all proposed remedial approaches can effectively reduce the undesired impact of imprecise measurements on performance of TS- chart. A sensitivity analysis is also carried out to evaluate how the covariate model parameters affect the detection performance of the TS- chart. Finally, using a real industrial data obtained from the spring production system, we demonstrate the performance of TS- chart when the measurement errors exist.
{"title":"The Performance of Triple Sampling X Control Chart with Measurement Errors","authors":"M. Maleki, A. Salmasnia, Shayesteh Yarmohammadi Saber","doi":"10.1080/16843703.2022.2040702","DOIUrl":"https://doi.org/10.1080/16843703.2022.2040702","url":null,"abstract":"ABSTRACT The presence of measurement errors can seriously alter the statistical performance of Phase II control charts. Up today, no research on designing the triple sampling control charts taking into account the gauge measurement errors is reported in the existing literature. In this paper, we study the adverse effect of measurement errors on detecting performance of triple sampling (TS)- control chart based on an additive covariate model. Three multiple measurement based triple sampling (MMBTS) schemes are developed to reduce the undesired impact of gauge inability on detecting performance of TS- chart. Through simulation studies in terms of average run length (ARL) and standard deviation of run length (SDRL), it is indicated that the run length characteristics of the TS- is significantly affected by the measurement errors. The results also confirm that all proposed remedial approaches can effectively reduce the undesired impact of imprecise measurements on performance of TS- chart. A sensitivity analysis is also carried out to evaluate how the covariate model parameters affect the detection performance of the TS- chart. Finally, using a real industrial data obtained from the spring production system, we demonstrate the performance of TS- chart when the measurement errors exist.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"587 - 604"},"PeriodicalIF":2.8,"publicationDate":"2022-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45323818","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 : 2022-03-07DOI: 10.1080/16843703.2021.2020954
H. Rasay, E. Alinezhad
ABSTRACT It is commonly discussed by the quality/reliability engineers that acceptance sampling plans and life testing schemes designed using the concept of sequential probability ratio test (SPRT) can effectively decrease the cost and time of the experiment/inspection. Nevertheless, reaching a procedure to perform an SPRT-based life test usually involves some computations which are not simple and straightforward, even for simple forms of statistical distributions. Moreover, for each statistical distribution describing the model of the lifetime data, different specialized computations should be performed to propose a procedure for the life test. To address these shortcomings, we develop a novel life test according to the SPRT of the Bernoulli/binomial distribution, which can be simply, straightforwardly and effectively adapted for life testing of different continuous distributions. Our adaptable SPRT abbreviated to ASPRT is first designed considering the Weibull distribution and is then extended for gamma and other continuous distributions. In order to evaluate the performance, ASPRT is applied to different real-world and simulated data sets. To better prove the efficiency, it is also compared with a benchmark SPRT on different data sets. Both computational and comparative results demonstrate that ASPRT is able to effectively and efficiently conduct the life testing of different continuous distributions.
{"title":"Developing an adaptable sequential probability ratio test applicable for lifetime analysis of different continuous distributions","authors":"H. Rasay, E. Alinezhad","doi":"10.1080/16843703.2021.2020954","DOIUrl":"https://doi.org/10.1080/16843703.2021.2020954","url":null,"abstract":"ABSTRACT It is commonly discussed by the quality/reliability engineers that acceptance sampling plans and life testing schemes designed using the concept of sequential probability ratio test (SPRT) can effectively decrease the cost and time of the experiment/inspection. Nevertheless, reaching a procedure to perform an SPRT-based life test usually involves some computations which are not simple and straightforward, even for simple forms of statistical distributions. Moreover, for each statistical distribution describing the model of the lifetime data, different specialized computations should be performed to propose a procedure for the life test. To address these shortcomings, we develop a novel life test according to the SPRT of the Bernoulli/binomial distribution, which can be simply, straightforwardly and effectively adapted for life testing of different continuous distributions. Our adaptable SPRT abbreviated to ASPRT is first designed considering the Weibull distribution and is then extended for gamma and other continuous distributions. In order to evaluate the performance, ASPRT is applied to different real-world and simulated data sets. To better prove the efficiency, it is also compared with a benchmark SPRT on different data sets. Both computational and comparative results demonstrate that ASPRT is able to effectively and efficiently conduct the life testing of different continuous distributions.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"511 - 530"},"PeriodicalIF":2.8,"publicationDate":"2022-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42688685","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 : 2022-02-27DOI: 10.1080/16843703.2022.2044120
Kai Jin, Xintian Liu, Miao Liu, Kangfeng Qian
ABSTRACT In view of the fact that the product cannot be restored to new for the actual maintenance, and the degradation rate gradually increases after the maintenance. A concept, quality characteristics of products should obey a multi-stage linear variation during service life, is proposed, which can be used to modify the quality loss model. The correlation among maintenance cost, quality loss, and the range of key quality characteristics (KQC) of product is considered, products’ preventive maintenance (PM) schedules are further adjusted to obtain the optimal range of KQC. Failure data of the air bearing of the air conditioner and the piston are used as examples. This paper compares and analyzes the best preventive maintenance of in-service equipment from two dimensions of quality loss and maintenance cost. The results show that the optimal preventive maintenance range can reduce the total operating cost of enterprises. Scientific evaluation of the service life of in-service products, reasonable arrangement of product maintenance and decommissioning work, improved product utilization, and provided a new perspective for product quality research in the whole life cycle.
{"title":"Modified quality loss for the analysis of product quality characteristics considering maintenance cost","authors":"Kai Jin, Xintian Liu, Miao Liu, Kangfeng Qian","doi":"10.1080/16843703.2022.2044120","DOIUrl":"https://doi.org/10.1080/16843703.2022.2044120","url":null,"abstract":"ABSTRACT In view of the fact that the product cannot be restored to new for the actual maintenance, and the degradation rate gradually increases after the maintenance. A concept, quality characteristics of products should obey a multi-stage linear variation during service life, is proposed, which can be used to modify the quality loss model. The correlation among maintenance cost, quality loss, and the range of key quality characteristics (KQC) of product is considered, products’ preventive maintenance (PM) schedules are further adjusted to obtain the optimal range of KQC. Failure data of the air bearing of the air conditioner and the piston are used as examples. This paper compares and analyzes the best preventive maintenance of in-service equipment from two dimensions of quality loss and maintenance cost. The results show that the optimal preventive maintenance range can reduce the total operating cost of enterprises. Scientific evaluation of the service life of in-service products, reasonable arrangement of product maintenance and decommissioning work, improved product utilization, and provided a new perspective for product quality research in the whole life cycle.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"341 - 361"},"PeriodicalIF":2.8,"publicationDate":"2022-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45617387","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 : 2022-02-23DOI: 10.1080/16843703.2022.2034261
H. M. Barakat, M. E. El-Adll, Amany E. Aly
ABSTRACT Exact and asymptotic distributional properties are discussed in detail for two mean-squared error consistent point predictors of future-generalized order statistics (GOSs) based on two-parameter exponential distribution. These predictors work even if some observed data were missing. For each point predictor, the asymptotic distribution of the normalized difference between the future GOS and its point predictor is derived, when the scale parameter is known or unknown. It is revealed that the asymptotic distributions of these normalized differences are equal when the scale parameter is known. Two asymptotic prediction intervals of the future GOS are constructed whenever the scale parameter is known or unknown. Furthermore, two tests of outliers are proposed relying on the point predictors. Finally, a simulation study is conducted and a real data set is analyzed for illustrative purposes.
{"title":"Prediction of future generalized order statistics based on two-parameter exponential distribution for large samples","authors":"H. M. Barakat, M. E. El-Adll, Amany E. Aly","doi":"10.1080/16843703.2022.2034261","DOIUrl":"https://doi.org/10.1080/16843703.2022.2034261","url":null,"abstract":"ABSTRACT Exact and asymptotic distributional properties are discussed in detail for two mean-squared error consistent point predictors of future-generalized order statistics (GOSs) based on two-parameter exponential distribution. These predictors work even if some observed data were missing. For each point predictor, the asymptotic distribution of the normalized difference between the future GOS and its point predictor is derived, when the scale parameter is known or unknown. It is revealed that the asymptotic distributions of these normalized differences are equal when the scale parameter is known. Two asymptotic prediction intervals of the future GOS are constructed whenever the scale parameter is known or unknown. Furthermore, two tests of outliers are proposed relying on the point predictors. Finally, a simulation study is conducted and a real data set is analyzed for illustrative purposes.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"259 - 275"},"PeriodicalIF":2.8,"publicationDate":"2022-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45767429","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 : 2022-02-04DOI: 10.1080/16843703.2021.2001129
S. Asadi, H. Panahi
ABSTRACT In this paper, the classical and Bayesian estimation procedures for stress–strength reliability parameter (SSRP) have been considered based on two independent adaptive Type II progressive hybrid censored samples from inverted exponentiated Rayleigh distributions with different shape parameters. The maximum likelihood estimate of SSRP and its asymptotic confidence interval are attained. The Bayes estimate of SSRP is obtained under two loss functions using the Lindley’s approximation and Metropolis–Hastings algorithm. The highest posterior density credible interval is successively constructed. The behavior of suggested estimators is assessed using a simulation study. Finally, the droplet splashing data under two surface wettabilities are considered to illustrate the application of the stress–strength reliability model to the engineering data.
{"title":"Estimation of stress–strength reliability based on censored data and its evaluation for coating processes","authors":"S. Asadi, H. Panahi","doi":"10.1080/16843703.2021.2001129","DOIUrl":"https://doi.org/10.1080/16843703.2021.2001129","url":null,"abstract":"ABSTRACT In this paper, the classical and Bayesian estimation procedures for stress–strength reliability parameter (SSRP) have been considered based on two independent adaptive Type II progressive hybrid censored samples from inverted exponentiated Rayleigh distributions with different shape parameters. The maximum likelihood estimate of SSRP and its asymptotic confidence interval are attained. The Bayes estimate of SSRP is obtained under two loss functions using the Lindley’s approximation and Metropolis–Hastings algorithm. The highest posterior density credible interval is successively constructed. The behavior of suggested estimators is assessed using a simulation study. Finally, the droplet splashing data under two surface wettabilities are considered to illustrate the application of the stress–strength reliability model to the engineering data.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"379 - 401"},"PeriodicalIF":2.8,"publicationDate":"2022-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43300192","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 : 2022-02-02DOI: 10.1080/16843703.2021.1951952
K. Sun, Jinting Wang
ABSTRACT We present a game-theoretic analysis of an M/M/1 queueing system with negative customers and single server vacation. Both positive and negative customers arrive according to a Poisson process and the server stars a vacation when the system is empty. Whenever a negative customer arrives, the positive customer being served (if any) is forced to abandon the system and the server suffers a breakdown, immediately after, a repair is required. During the repair process, positive customers are not allowed to join the system. Besides, they decide whether to join or to balk the system based on a reward-cost structure under four cases of different levels of information. We derive the equilibrium joining strategies of positive customers in each case. Specifically, we obtain the equilibrium threshold in the observable queue and mixed joining probability in the unobservable queue. Finally, the effects of different information levels and several parameters on the equilibrium threshold and mixed joining probabilities are illustrated by numerical examples.
{"title":"Game-theoretic analysis of the single vacation queue with negative customers","authors":"K. Sun, Jinting Wang","doi":"10.1080/16843703.2021.1951952","DOIUrl":"https://doi.org/10.1080/16843703.2021.1951952","url":null,"abstract":"ABSTRACT We present a game-theoretic analysis of an M/M/1 queueing system with negative customers and single server vacation. Both positive and negative customers arrive according to a Poisson process and the server stars a vacation when the system is empty. Whenever a negative customer arrives, the positive customer being served (if any) is forced to abandon the system and the server suffers a breakdown, immediately after, a repair is required. During the repair process, positive customers are not allowed to join the system. Besides, they decide whether to join or to balk the system based on a reward-cost structure under four cases of different levels of information. We derive the equilibrium joining strategies of positive customers in each case. Specifically, we obtain the equilibrium threshold in the observable queue and mixed joining probability in the unobservable queue. Finally, the effects of different information levels and several parameters on the equilibrium threshold and mixed joining probabilities are illustrated by numerical examples.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"403 - 427"},"PeriodicalIF":2.8,"publicationDate":"2022-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47199754","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 : 2022-01-18DOI: 10.1080/16843703.2021.2021616
Fengming Kang, Lirong Cui
ABSTRACT System with self-healing mechanism has been successfully applied in many practical engineering fields. When we discuss the reliability performance of system subject to shocks, cumulative shocks have the greatest impact on most systems fields such as high-speed railway systems or civil structural components. In the present paper, we deal with two different types of cumulative shock models in discrete time with self-healing effect. We study a system with self-healing mechanism from a reliability point of view under these two shock models. The self-healing system will fail when the cumulative damage effect exceeds the given threshold. In the first model, there are shock events at instant of time , while in the second model at some time point there was no shock occurring event. Along with the work in this article, the system reliability formulas and the means and variances of their lifetimes are given under two different types shock models proposed, then simulation methods are adopted to analyze the reliability of the system for the second cumulative model. Finally, numerical examples and future researches are discussed.
{"title":"Reliability analysis for systems with self-healing mechanism under two different types of cumulative shocks","authors":"Fengming Kang, Lirong Cui","doi":"10.1080/16843703.2021.2021616","DOIUrl":"https://doi.org/10.1080/16843703.2021.2021616","url":null,"abstract":"ABSTRACT System with self-healing mechanism has been successfully applied in many practical engineering fields. When we discuss the reliability performance of system subject to shocks, cumulative shocks have the greatest impact on most systems fields such as high-speed railway systems or civil structural components. In the present paper, we deal with two different types of cumulative shock models in discrete time with self-healing effect. We study a system with self-healing mechanism from a reliability point of view under these two shock models. The self-healing system will fail when the cumulative damage effect exceeds the given threshold. In the first model, there are shock events at instant of time , while in the second model at some time point there was no shock occurring event. Along with the work in this article, the system reliability formulas and the means and variances of their lifetimes are given under two different types shock models proposed, then simulation methods are adopted to analyze the reliability of the system for the second cumulative model. Finally, numerical examples and future researches are discussed.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"454 - 472"},"PeriodicalIF":2.8,"publicationDate":"2022-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47567267","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 : 2022-01-17DOI: 10.1080/16843703.2021.2020952
Tzu-Hsin Liu, Fu-Min Chang, J. Ke, S. Sheu
ABSTRACT A retrial queue with constant retrial policy, unreliable servers and the failed servers may not be detected is investigated in this paper. Upon arrival, a customer either is attended to one of the available servers or enters a retrial orbit and retries in a random time as all servers are not available. The unreliable server can be breakdown when he is working. The breakdown server may not be detected due to some fault matters. Under such a situation, the repair facility will issue a reboot operation to locate the non-detected breakdown server. Once the breakdown server is detected and located, he will be sent for repair. After utilizing the general theory of matrix-geometric approach to determine the stationary distribution, some performance measures are proposed. A single-objective model aiming at minimizing the average cost is constructed. We apply particle swarm optimization algorithm and genetic algorithm to find the optimum combination of parameters. We also formulate a bi-objective model aiming at minimizing the expect cost and the mean waiting time of customers in orbit. Two multi-objective algorithms are developed to solve it.
{"title":"Optimization of retrial queue with unreliable servers subject to imperfect coverage and reboot delay","authors":"Tzu-Hsin Liu, Fu-Min Chang, J. Ke, S. Sheu","doi":"10.1080/16843703.2021.2020952","DOIUrl":"https://doi.org/10.1080/16843703.2021.2020952","url":null,"abstract":"ABSTRACT A retrial queue with constant retrial policy, unreliable servers and the failed servers may not be detected is investigated in this paper. Upon arrival, a customer either is attended to one of the available servers or enters a retrial orbit and retries in a random time as all servers are not available. The unreliable server can be breakdown when he is working. The breakdown server may not be detected due to some fault matters. Under such a situation, the repair facility will issue a reboot operation to locate the non-detected breakdown server. Once the breakdown server is detected and located, he will be sent for repair. After utilizing the general theory of matrix-geometric approach to determine the stationary distribution, some performance measures are proposed. A single-objective model aiming at minimizing the average cost is constructed. We apply particle swarm optimization algorithm and genetic algorithm to find the optimum combination of parameters. We also formulate a bi-objective model aiming at minimizing the expect cost and the mean waiting time of customers in orbit. Two multi-objective algorithms are developed to solve it.","PeriodicalId":49133,"journal":{"name":"Quality Technology and Quantitative Management","volume":"19 1","pages":"428 - 453"},"PeriodicalIF":2.8,"publicationDate":"2022-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49068388","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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