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Synthetic c charts with known and estimated process parameters based on median run length and expected median run length 基于中间行程长度和预期中间行程长度的已知和估计工艺参数的合成c图
IF 2.8 2区 工程技术 Q3 ENGINEERING, INDUSTRIAL Pub Date : 2022-08-10 DOI: 10.1080/16843703.2022.2098456
Ming Ha Lee, M. Khoo, A. Haq, Dennis M. L. Wong, Xinying Chew
ABSTRACT In statistical process control, the total number of nonconformities per unit of a process is monitored by using the c chart. In this study, the run length performance of the synthetic c chart with known process parameter (denoted as the KP-Syn-c chart) and the synthetic c chart with estimated process parameter (denoted as the EP-Syn-c chart) are evaluated in terms of the median run length (MRL). The results show that the sensitivity of the MRL-based EP-Syn-c chart is dependent on the number of preliminary samples used in the Phase-I analysis. Furthermore, percentiles of the run length distribution are used to provide a better understanding for the run length performance of the EP-Syn-c chart. The numerical analysis shows that the required minimum number of preliminary samples can be very large for the MRL-based EP-Syn-c chart to perform similar as the KP-Syn-c chart. An optimization procedure is suggested to compute the design parameters of the EP-Syn-c chart by minimizing the out-of-control MRL. Furthermore, the optimal design procedure of the EP-Syn-c chart is also provided through minimizing the out-of-control expected MRL for the unknown process shift size. An example is provided to illustrate the design and implementation of the MRL-based EP-Syn-c chart.
摘要在统计过程控制中,使用c图来监测过程中每单位不符合项的总数。在本研究中,根据中值运行长度(MRL)评估了具有已知工艺参数的合成c图(表示为KP-Syn-c图)和具有估计工艺参数的综合c图(指示为EP-Syn-c表)的运行长度性能。结果表明,基于MRL的EP-Syn-c图的灵敏度取决于第一阶段分析中使用的初步样本数量。此外,行程长度分布的百分位数用于更好地理解EP-Syn-c图的行程长度性能。数值分析表明,对于基于MRL的EP-Syn-c图来说,所需的最小初步样本数量可能非常大,以执行与KP-Syn-c表类似的操作。提出了一种优化程序,通过最小化失控MRL来计算EP-Syn-c图的设计参数。此外,通过最小化未知过程偏移大小的失控预期MRL,还提供了EP-Syn-c图的最佳设计过程。给出了一个实例来说明基于MRL的EP-Syn-c图的设计和实现。
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引用次数: 1
Equilibrium and socially optimal strategies of a double-sided queueing system with two-mass point matching time 具有双质量点匹配时间的双面排队系统的均衡与社会最优策略
IF 2.8 2区 工程技术 Q3 ENGINEERING, INDUSTRIAL Pub Date : 2022-08-09 DOI: 10.1080/16843703.2022.2088934
Zhen Wang, Cheryl Yang, Yiqiang Q. Zhao
ABSTRACT We study a passenger-taxi double-ended queue with negative passengers and two-point matching time. The system considered in this paper is different from those studied in the existing literature, which fully explores the matching time between passengers and taxis, and the taxi capacity of the system. The objective is to get the equilibrium joining strategy and the socially optimal strategy under two information levels. For the practical consideration of the airport terminal scenario, two different information levels are investigated. The theoretical results show that the passenger utility function in the partially observable case is monotonic. For the complex form of social welfare function of the partially observable case, we use a split derivation. The equilibrium strategy and socially optimal strategy of the observable case are threshold-type. Furthermore, some representative numerical scenarios are used to visualize the theoretical results. The numerical scenarios illustrate the influence of parameters on the equilibrium strategy and socially optimal strategy under two information levels. Finally, the optimal social welfare for the two information levels with the same parameters is compared.
研究了具有负乘客和两点匹配时间的乘客-出租车双端队列。本文所考虑的系统不同于已有文献的研究,充分探索了乘客与出租车的匹配时间,以及系统的出租车容量。目标是得到两种信息水平下的均衡加盟策略和社会最优加盟策略。为了实际考虑机场终端场景,研究了两种不同的信息水平。理论结果表明,在部分可观测情况下,乘客效用函数是单调的。对于部分可观测情况下的社会福利函数的复数形式,我们使用了分裂求导。可观测情况下的均衡策略和社会最优策略均为阈值型。此外,还采用了一些有代表性的数值场景来可视化理论结果。数值方案说明了在两种信息水平下,参数对均衡策略和社会最优策略的影响。最后,比较了两种信息水平下相同参数下的最优社会福利。
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引用次数: 2
A comparison study of penalized likelihood via regularization and support vector-based control charts 基于正则化和基于支持向量的控制图的惩罚似然的比较研究
IF 2.8 2区 工程技术 Q3 ENGINEERING, INDUSTRIAL Pub Date : 2022-08-05 DOI: 10.1080/16843703.2022.2096198
Edgard M. Maboudou-Tchao, Charles W. Harrison, Sumen Sen
ABSTRACT Recently statistical process control (SPC) started incorporating advanced tools based on statistical learning for process monitoring due to the increasing availability of large and complex data sets. This phenomenon has generated new problems such as monitoring high-dimensional processes. Two well-known techniques used for this purpose are penalized likelihood and support vector-based process control charts. We investigate the support vector data description (SVDD), an effective method used in multivariate statistical process control (MSPC). Next, a least squares analogue to the SVDD, called LS-SVDD, is investigated. LS-SVDD is formulated using equality constraints in the underlying optimization problem which facilitates a fast, closed-form solution. Variable selection charts are penalized likelihood charts that use diagnosis methodologies for the identification of changed variables. Other penalized likelihood methods using Tikhonov regularization were proposed recently. This approach shrinks all process mean estimates towards zero rather than selecting variables, and it yields a closed-form solution of the monitoring statistic. In this article, we compare penalized methods and support vector methods for Shewhart-type and accumulative-type control charts.
最近统计过程控制(SPC)开始纳入先进的工具,基于统计学习的过程监控,由于越来越多的大型和复杂的数据集的可用性。这种现象产生了新的问题,如监控高维过程。用于此目的的两种著名技术是惩罚似然图和基于支持向量的过程控制图。研究了支持向量数据描述(SVDD)这一用于多变量统计过程控制(MSPC)的有效方法。接下来,研究了SVDD的最小二乘模拟,称为LS-SVDD。LS-SVDD是在底层优化问题中使用等式约束来制定的,这有利于快速、封闭的解。变量选择图是使用诊断方法识别变化变量的惩罚似然图。最近提出了其他使用Tikhonov正则化的惩罚似然方法。这种方法将所有过程均值估计缩小到零,而不是选择变量,并且它产生监视统计量的封闭形式解决方案。在这篇文章中,我们比较了惩罚方法和支持向量方法对shewhart型和累积型控制图的影响。
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引用次数: 1
Maintenance planning estimations and policies optimization for single-unit systems using Hawkes processes 使用霍克斯流程对单机系统进行维护计划评估和策略优化
IF 2.8 2区 工程技术 Q3 ENGINEERING, INDUSTRIAL Pub Date : 2022-08-03 DOI: 10.1080/16843703.2022.2093817
Lirong Cui, Fengming Kang, Jingyuan Shen
ABSTRACT Maintenance planning and optimizations are very important issues in both theory and practice. In this paper, Hawkes processes, a tool for description of self-excited failure effects, are used to model the failure processes of single-unit systems under the assumption of neglected repair times. For such degraded single-unit systems, some maintenance planning estimations such as the distribution, mean and variance of failures or repairs by time , reliability, mean cost of maintenance, mean and variance of system lifetime are presented under the maximal entropy assumption on repair effects. Meanwhile, two optimization problems are developed by considering the lifetime mean of the single-unit system and total maintenance cost as objective functions and constraints alternatively. We have proved that both optimization problems can reduce to two simplified optimal cases, respectively, and their optimal policies are increasing stepwise sequences of increasing rates of failure rates, which greatly reduce the scope of optimal solutions. The relationships between the estimations and the optimizations are discussed. Furthermore, the detailed optimal maintenance policies for a special case are given as well including an algorithm.
维修计划和优化是理论和实践中非常重要的问题。本文利用描述自激失效效应的工具Hawkes过程,在忽略维修时间的假设下,对单单元系统的失效过程进行建模。针对这类退化单单元系统,在最大熵假设下,给出了故障或维修的时间分布、可靠性、平均维修成本、系统寿命均值和方差等维修计划估计。同时,将单机系统寿命均值和总维护费用作为目标函数和约束条件交替考虑,提出了两个优化问题。我们证明了这两个优化问题都可以分别简化为两个最优情况,并且它们的最优策略都是故障率递增的逐步递增序列,这大大减小了最优解的范围。讨论了估计和优化之间的关系。在此基础上,给出了一种特殊情况下的最优维护策略,并给出了算法。
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引用次数: 0
Comparisons of customer balking behavior in observable queues with N policies and geometric abandonments 具有N策略和几何放弃的可观察队列中顾客回避行为的比较
IF 2.8 2区 工程技术 Q3 ENGINEERING, INDUSTRIAL Pub Date : 2022-08-02 DOI: 10.1080/16843703.2022.2101338
Wei Sun, Zhiyuan Zhang, Shiyong Li
ABSTRACT This paper studies and compares customer balking behavior in some single-server observable queues with N policies and geometric abandonments. We focus on two types of N policies: the classic one and the modified one. Under the classic N policy, the server begins to take a vacation period as soon as the system becomes empty until there are N customers in the queue. On the other hand, under the modified N policy, the server takes multiple vacations until at least N customers are waiting in the queue when a vacation time ends. Abandonment opportunities occur during a whole vacation period, and customers decide independently and sequentially whether to renege. Comparing the two types of N policies, we realize that the residual time of the server's last vacation under the modified N policy indeed inhibits customers joining, whereas it may be more economic in practice if we take the whole system cost into consideration. As for the optimal N, under which the server is free of compensation, we observe that he should choose the modified N policy when the abandonment probability is much close to 1. Otherwise, he should choose the classic N policy.
摘要本文研究并比较了几种具有N策略和几何放弃的单服务器可观察队列中的顾客退缩行为。我们关注两种类型的N个策略:经典策略和修改策略。在经典的N策略下,一旦系统变为空,服务器就开始休假,直到队列中有N个客户。另一方面,在修改后的N策略下,服务器将进行多次休假,直到休假时间结束时至少有N个客户在队列中等待。放弃机会发生在整个假期期间,客户独立和顺序地决定是否违约。对比两种N策略,我们发现修改后的N策略下,服务器最后一次休假的剩余时间确实抑制了客户的加入,但如果考虑到整个系统成本,在实践中可能会更经济。对于无补偿的最优N,我们观察到当放弃概率非常接近于1时,他应该选择修改后的N策略。否则,他应该选择经典的N策略。
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引用次数: 1
Performance analysis for Bernoulli feedback queues subject to disasters: a system with batch Poisson arrivals under a multiple vacation policy 灾难条件下伯努利反馈队列的性能分析:多假期策略下的批泊松到达系统
IF 2.8 2区 工程技术 Q3 ENGINEERING, INDUSTRIAL Pub Date : 2022-07-22 DOI: 10.1080/16843703.2022.2092954
George C. Mytalas, M. Zazanis
ABSTRACT We analyze an M/G/1 system with batch Poisson arrivals and instantaneous Bernoulli feedback, operating under a Multiple Vacation Policy. The system is subject to disasters that occur according to an independent Poisson process and are followed by (random) repair periods with general distribution. The analysis is carried out using the supplementary variable method. The Laplace transform of the time between two consecutive disasters is obtained and the existence of the stationary regime for the system is shown. Besides obtaining the stationary distribution for the number of customers in the system, we use the information regarding the rates of occurrence of various events provided by the supplementary variable solution to obtain a great variety of additional results. These include the Laplace transform of the busy period distribution and the probability that a customer completes service. We indicate areas of application of our model to real-life systems, in particular in Vehicle ad hoc Networks (VANETs), and we use the analytic results obtained to optimize such a system under a Quality of Service constraint. Finally, we analyze a variant of the system subject to disasters even when the server is not busy.
摘要我们分析了一个M/G/1系统,该系统具有批Poisson到达和瞬时Bernoulli反馈,在多重休假策略下运行。系统受到根据独立泊松过程发生的灾害的影响,随后是具有一般分布的(随机)修复期。分析采用补充变量法。得到了两次连续灾害之间时间的拉普拉斯变换,证明了系统平稳状态的存在性。除了获得系统中客户数量的平稳分布外,我们还使用补充变量解提供的关于各种事件发生率的信息来获得各种各样的额外结果。其中包括繁忙时段分布的拉普拉斯变换和客户完成服务的概率。我们指出了我们的模型在实际系统中的应用领域,特别是在车辆自组织网络(VANET)中,并使用获得的分析结果在服务质量约束下优化这样的系统。最后,我们分析了即使服务器不忙也会发生灾难的系统变体。
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引用次数: 2
An improved risk and reliability framework-based maintenance planning for food processing systems 改进的基于风险和可靠性框架的食品加工系统维护计划
IF 2.8 2区 工程技术 Q3 ENGINEERING, INDUSTRIAL Pub Date : 2022-07-03 DOI: 10.1080/16843703.2022.2093565
Hamzeh Soltanali, M. Khojastehpour, José Torres Farinha
ABSTRACT In food processing systems, it is necessary to evaluate the risk process and reliability in order to prevent unexpected events and control functional safety through well-planned maintenance. This study examines risk and reliability models and develops their theories using a novel framework based on failure behavior trends. The proposed framework was implemented in edible oil industries, specifically purification processes, and consists of three steps: first, identifying potential failures using risk-based approaches such as Failure Mode and Effect Analysis (FMEA) and Fault Tree Analysis (FTA); second, adapting a statistical structure consisting of homogenization survey and validity of identity and independence; and finally, estimating the failure rate and reliability to find the suitable maintenance intervals. The findings revealed that the proposed framework is capable of identifying critical equipment with high failure rates as the most important bottlenecks in edible oil processing lines, allowing maintenance plans to be carried out based on the various levels of reliability. Furthermore, opportunistic maintenance intervals were suggested due to the series configuration of equipment in such a process. As a result, the findings of this study may be useful in improving process safety and availability in the food processing industry.
摘要在食品加工系统中,有必要评估风险过程和可靠性,以防止意外事件的发生,并通过有计划的维护来控制功能安全。本研究考察了风险和可靠性模型,并使用基于故障行为趋势的新框架来发展其理论。所提出的框架在食用油行业,特别是净化过程中实施,包括三个步骤:首先,使用基于风险的方法,如故障模式和影响分析(FMEA)和故障树分析(FTA),识别潜在故障;第二,采用由同质化调查和同一性和独立性有效性组成的统计结构;最后,估计故障率和可靠性,以找到合适的维修间隔。研究结果表明,拟议的框架能够将故障率高的关键设备确定为食用油加工线中最重要的瓶颈,从而能够根据不同的可靠性水平执行维护计划。此外,由于在这样的过程中设备的串联配置,提出了机会维护间隔。因此,这项研究的结果可能有助于提高食品加工行业的工艺安全性和可用性。
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引用次数: 3
Run rules schemes for statistical process monitoring: a literature review 统计过程监控的运行规则方案:文献综述
IF 2.8 2区 工程技术 Q3 ENGINEERING, INDUSTRIAL Pub Date : 2022-06-16 DOI: 10.1080/16843703.2022.2084281
Z. Jalilibal, Mohammad Hassan Ahmadi Karavigh, A. Amiri, M. Khoo
ABSTRACT Different control charts are developed for monitoring various types of quality characteristics in the area of Statistical Process Monitoring (SPM). Moreover, new techniques are proposed to improve the performances of the suggested control charts. One of the popular techniques for this purpose is run rules. These rules increase the sensitivity of control charts in detecting different shift sizes, especially small and medium shifts. In this paper, a content analysis (based on 100 papers in this area from 1955 to 2020) is conducted to (i) classify the articles that employed run rules in SPM, (ii) recognize the research gaps and (iii) provide guidance to motivate future research in this area.
在统计过程监控(SPM)领域中,为了监控各种类型的质量特征,开发了不同的控制图。此外,还提出了新的技术来提高所建议的控制图的性能。用于此目的的一种流行技术是运行规则。这些规则增加了控制图检测不同位移大小的灵敏度,特别是中小位移。在本文中,进行了内容分析(基于1955年至2020年该领域的100篇论文),以(i)对在SPM中使用运行规则的文章进行分类,(ii)识别研究空白,(iii)为激励该领域的未来研究提供指导。
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引用次数: 5
An evolutionary genetic algorithm for a multi-objective two-sided assembly line balancing problem: a case study of automotive manufacturing operations 求解多目标双边装配线平衡问题的进化遗传算法——以汽车制造作业为例
IF 2.8 2区 工程技术 Q3 ENGINEERING, INDUSTRIAL Pub Date : 2022-06-15 DOI: 10.1080/16843703.2022.2079062
He-Yau Kang, Amy H. I. Lee
ABSTRACT Assembly lines are often indispensable in factories, and a good assembly-line balancing model is very important for manufacturers to maximize their profit using limited resources in a competitive environment. To maintain a productive assembly line, multiple objectives with different importance must be considered at the same time. In this paper, a two-sided assembly-line balancing problem (TALBP) with multiple objectives is examined. A fuzzy multi-objective linear programming-weighted model (FMOLP-W) for solving the TALBP is constructed first with the consideration of the importance weights of the line balancing performance factors, including minimizing the number of workstations, minimizing cycle time, maximizing line efficiency, minimizing smoothness index and minimizing workstation idle time. An evolutionary genetic algorithm (GA) is proposed next to tackle large-scale problems when the problems are too complex to be solved by the FMOLP-W.
摘要装配线在工厂中往往是必不可少的,良好的装配线平衡模型对于制造商在竞争环境中利用有限的资源实现利润最大化非常重要。为了维持生产流水线,必须同时考虑具有不同重要性的多个目标。本文研究了一个具有多目标的双边装配线平衡问题。首先,考虑线路平衡性能因素的重要性权重,建立了求解TALBP的模糊多目标线性规划加权模型(FMOLP-W),包括最小化工作站数量、最小化循环时间、最大化线路效率、最小化平滑指数和最小化工作站空闲时间。当大规模问题过于复杂,FMOLP-W无法解决时,提出了一种进化遗传算法(GA)。
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引用次数: 3
On partially observed competing risk model under generalized progressive hybrid censoring for Lomax distribution Lomax分布广义渐进混合截尾下的部分可观测竞争风险模型
IF 2.8 2区 工程技术 Q3 ENGINEERING, INDUSTRIAL Pub Date : 2022-06-13 DOI: 10.1080/16843703.2022.2049507
Amulya Kumar Mahto, Chandrakant Lodhi, Y. Tripathi, Liang Wang
ABSTRACT We study a competing risks model under the assumption that latent failure times follow family of Lomax distributions. We obtain various inferences for model parameters when causes of failure are partially known and lifetime data are observed using a generalized progressive hybrid censoring scheme. The existence and uniqueness properties of maximum likelihood estimators of unknown parameters are established. Bayes estimators and associated credible intervals are also obtained. In addition, various inferences for unknown parameters are derived under order-restricted shape parameters of Lomax distributions. Finally, a simulation study is conducted to evaluate the performance of the proposed estimates. A real data set is also analysed for illustration purposes.
摘要我们研究了一个竞争风险模型,假设潜在失效时间遵循Lomax分布族。当故障原因部分已知并且使用广义渐进混合截尾方案观察寿命数据时,我们获得了模型参数的各种推断。建立了未知参数的极大似然估计的存在唯一性。还得到了贝叶斯估计量和相关的可信区间。此外,在Lomax分布的阶限制形状参数下,导出了未知参数的各种推论。最后,进行了仿真研究,以评估所提出的估计的性能。为了便于说明,还对实际数据集进行了分析。
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引用次数: 5
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Quality Technology and Quantitative Management
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