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A dissimilarities balance model for a multi-skilled multi-location food safety inspector scheduling problem 多技能多地点食品安全检查员调度问题的差异平衡模型
Pub Date : 2016-03-03 DOI: 10.1080/0740817X.2015.1057303
Chun-Hung Cheng, Y. Kuo
ABSTRACT In this work, we examine a staff scheduling problem in a governmental food safety center that is responsible for the surveillance of imported food at an international airport. In addition to the fact that the staff have different levels of efficiency and have different preference for work shifts, the Operations Manager of the food safety center would like to balance the dissimilarities of workers in order to provide unbiased work schedules for staff members. We adopt a two-phase approach, where the first phase is to schedule the work shifts of food safety inspectors (including rest days and shift types) with schedule fairness and staff preference taken into account and the second phase is to best-fit them to tasks in terms of skill-matches and create diversity of team formations. We also provide polyhedral results and devise valid inequalities for the two formulations. For the first-phase problem, we relax some constraints of the fairness criteria to reduce the problem size to reduce computational effort. We derive an upper bound for the objective value of the relaxation and provide computational results to show that the solutions devised from our proposed methodology are of good quality. For the second-phase problem, we develop a shift-by-shift assignment heuristic to obtain an upper bound for the maximum number of times any pair of workers is assigned to the same shift at the same location. We propose an enumeration algorithm, that solves the problems for fixed values of this number until an optimality condition holds or the problem is infeasible. Computational results show that our proposed approach can produce solutions of good quality in a much shorter period of time, compared with a standalone commercial solver.
在这项工作中,我们研究了负责国际机场进口食品监督的政府食品安全中心的工作人员调度问题。除了员工的效率水平不同,对工作班次的偏好也不同,食品安全中心的运营经理希望平衡员工的差异,为员工提供公正的工作时间表。我们采取了两阶段的方法,第一阶段是在考虑时间公平性和员工偏好的情况下安排食品安全检查员的轮班(包括休息日和轮班类型),第二阶段是在技能匹配方面使他们最适合任务,并创造多样化的团队组成。我们还提供了多面体结果,并为这两个公式设计了有效的不等式。对于第一阶段问题,我们放宽了公平性准则的一些约束,以减小问题的规模,从而减少计算量。我们推导了松弛目标值的上界,并给出了计算结果,表明用我们提出的方法设计的解是高质量的。对于第二阶段问题,我们开发了一种逐班分配启发式方法,以获得在同一地点将任何一对工人分配到同一班次的最大次数的上界。我们提出了一种枚举算法,该算法求解该数的固定值问题,直到最优性条件成立或问题不可行为止。计算结果表明,与独立的商业求解器相比,我们提出的方法可以在更短的时间内产生高质量的解。
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引用次数: 8
Allocating Protection Resources to Facilities When the Effect of Protection is Uncertain 当保护效果不确定时,如何将保护资源分配给设施
Pub Date : 2016-03-03 DOI: 10.1080/0740817X.2015.1078013
Hugh R. Medal, E. Pohl, M. Rossetti
We study a new facility protection problem in which one must allocate scarce protection resources to a set of facilities given that allocating resources to a facility only has a probabilistic effect on the facility’s post-disruption capacity. This study seeks to test three common assumptions made in the literature on modeling infrastructure systems subject to disruptions: 1) perfect protection, e.g., protecting an element makes it fail-proof, 2) binary protection, i.e., an element is either fully protected or unprotected, and 3) binary state, i.e., disrupted elements are fully operational or non-operational. We model this facility protection problem as a two-stage stochastic program with endogenous uncertainty. Because this stochastic program is non-convex we present a greedy algorithm and show that it has a worst-case performance of 0.63. However, empirical results indicate that the average performance is much better. In addition, experimental results indicate that the mean-value version of this model, in which parameters are set to their mean values, performs close to optimal. Results also indicate that the perfect and binary protection assumptions together significantly affect the performance of a model. On the other hand, the binary state assumption was found to have a smaller effect.
本文研究了一个新的设施保护问题,该问题必须将稀缺的保护资源分配给一组设施,并且分配资源对设施的破坏后能力只有概率影响。本研究试图测试在对受中断影响的基础设施系统建模的文献中提出的三个常见假设:1)完美保护,例如,保护一个元素使其防故障;2)二元保护,即,一个元素要么完全保护,要么不受保护;3)二元状态,即,中断的元素是完全可操作的或非可操作的。我们将该设施保护问题建模为具有内生不确定性的两阶段随机规划。由于这个随机程序是非凸的,我们提出了一个贪心算法,并证明它的最坏情况性能为0.63。然而,实证结果表明,平均性能要好得多。此外,实验结果表明,该模型的均值版本,其中参数设置为其均值,性能接近最优。结果还表明,完美保护和二元保护假设共同显著影响模型的性能。另一方面,二元状态假设的影响较小。
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引用次数: 20
Robust dual-response optimization 鲁棒双响应优化
Pub Date : 2016-03-03 DOI: 10.1080/0740817X.2015.1067737
Ihsan Yanikoglu, D. den Hertog, J. Kleijnen
ABSTRACT This article presents a robust optimization reformulation of the dual-response problem developed in response surface methodology. The dual-response approach fits separate models for the mean and the variance and analyzes these two models in a mathematical optimization setting. We use metamodels estimated from experiments with both controllable and environmental inputs. These experiments may be performed with either real or simulated systems; we focus on simulation experiments. For the environmental inputs, classic approaches assume known means, variances, or covariances and sometimes even a known distribution. We, however, develop a method that uses only experimental data, so it does not need a known probability distribution. Moreover, our approach yields a solution that is robust against the ambiguity in the probability distribution. We also propose an adjustable robust optimization method that enables adjusting the values of the controllable factors after observing the values of the environmental factors. We illustrate our novel methods through several numerical examples, which demonstrate their effectiveness.
本文提出了响应面法中双响应问题的鲁棒优化重新表述。双响应方法拟合均值和方差的独立模型,并在数学优化设置中分析这两个模型。我们使用从可控和环境输入的实验中估计的元模型。这些实验可以在真实或模拟系统中进行;我们着重于模拟实验。对于环境输入,经典方法假设已知均值、方差或协方差,有时甚至假设已知分布。然而,我们开发了一种只使用实验数据的方法,因此它不需要已知的概率分布。此外,我们的方法产生了一个对概率分布中的模糊性具有鲁棒性的解决方案。我们还提出了一种可调节的鲁棒优化方法,可以在观察环境因素的值后调整可控因素的值。通过几个数值算例说明了新方法的有效性。
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引用次数: 26
A Bayesian variable selection method for joint diagnosis of manufacturing process and sensor faults 制造过程与传感器故障联合诊断的贝叶斯变量选择方法
Pub Date : 2016-02-26 DOI: 10.1080/0740817X.2015.1109739
Shan Li, Yong Chen
ABSTRACT This article presents a Bayesian variable selection–based diagnosis approach to simultaneously identify both process mean shift faults and sensor mean shift faults in manufacturing processes. The proposed method directly models the probability of fault occurrence and can easily incorporate prior knowledge on the probability of a fault occurrence. Important concepts are introduced to understand the diagnosability of the proposed method. A guideline on how to select the values of hyper-parameters is given. A conditional maximum likelihood method is proposed as an alternative method to provide robustness to the selection of some key model parameters. Systematic simulation studies are used to provide insights on the relationship between the success of the diagnosis method and related system structure characteristics. A real assembly example is used to demonstrate the effectiveness of the proposed diagnosis method.
提出了一种基于贝叶斯变量选择的制造过程平均移位故障和传感器平均移位故障的诊断方法。该方法直接对故障发生的概率进行建模,可以很容易地将先验知识纳入故障发生的概率。介绍了重要的概念,以了解所提出的方法的可诊断性。给出了如何选择超参数值的准则。提出了一种条件极大似然法作为一种替代方法,为一些关键模型参数的选择提供了鲁棒性。系统仿真研究提供了诊断方法的成功与相关系统结构特征之间关系的见解。通过一个装配实例验证了该诊断方法的有效性。
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引用次数: 8
Reliability performance for dynamic systems with cycles of K regimes 具有K区间循环的动态系统的可靠性性能
Pub Date : 2016-02-25 DOI: 10.1080/0740817X.2015.1110266
Jingyuan Shen, L. Cui
ABSTRACT The environment in which a system operates can have a crucial impact on its performance; for example, a machine operating in mild or harsh environments or the flow of a river changing between seasons. In this article, we consider a dynamic reliability system operating under a cycle of K regimes, which is modeled as a continuous-time Markov process with K different transition rate matrices being used to describe the various regimes. Results for the availability of such a system and probability distributions of the first uptime are given. Three special cases, which occur due to situations where the durations of the regime are constant and where the number of up states in different regimes are identical or increasing, are considered in detail. Finally, some numerical examples are shown to validate the proposed approach.
系统运行的环境对其性能有至关重要的影响;例如,在温和或恶劣环境中运行的机器,或在季节之间变化的河流。在这篇文章中,我们考虑一个动态可靠性系统在K个状态下的循环下运行,它被建模为一个连续时间马尔可夫过程,用K个不同的转移率矩阵来描述不同的状态。给出了该系统的可用性和首次正常运行时间的概率分布。详细考虑了三种特殊情况,即由于状态持续时间恒定以及不同状态下的上状态数量相同或增加而发生的情况。最后,通过数值算例验证了该方法的有效性。
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引用次数: 25
Axiomatic aggregation of incomplete rankings 不完全排名的公理聚合
Pub Date : 2016-02-21 DOI: 10.1080/0740817X.2015.1109737
Erick Moreno-Centeno, Adolfo R. Escobedo
ABSTRACT In many different applications of group decision-making, individual ranking agents or judges are able to rank only a small subset of all available candidates. However, as we argue in this article, the aggregation of these incomplete ordinal rankings into a group consensus has not been adequately addressed. We propose an axiomatic method to aggregate a set of incomplete rankings into a consensus ranking; the method is a generalization of an existing approach to aggregate complete rankings. More specifically, we introduce a set of natural axioms that must be satisfied by a distance between two incomplete rankings; prove the uniqueness and existence of a distance satisfying such axioms; formulate the aggregation of incomplete rankings as an optimization problem; propose and test a specific algorithm to solve a variation of this problem where the consensus ranking does not contain ties; and show that the consensus ranking obtained by our axiomatic approach is more intuitive than the consensus ranking obtained by other approaches.
在群体决策的许多不同应用中,个体排序代理或法官只能对所有可用候选人中的一小部分进行排序。然而,正如我们在本文中所争论的那样,这些不完整的顺序排名的聚合到一个群体共识中还没有得到充分的解决。我们提出了一种公理化的方法,将一组不完整的排名聚合成一个共识排名;该方法是对现有的汇总完整排名方法的推广。更具体地说,我们引入了一组自然公理,它们必须被两个不完全排名之间的距离所满足;证明满足这些公理的距离的唯一性和存在性;将不完全排名的聚合表述为一个优化问题;提出并测试一个特定的算法来解决这个问题的一个变体,其中共识排名不包含关系;并证明了用公理化方法得到的共识排序比其他方法得到的共识排序更直观。
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引用次数: 25
A fully integrated double-loop approach to the design of statistically and energy efficient accelerated life tests 一个完全集成的双环方法来设计统计和节能加速寿命试验
Pub Date : 2016-02-21 DOI: 10.1080/0740817X.2015.1109738
Dan Zhang, H. Liao
ABSTRACT Accelerated Life Testing (ALT) has been widely used in reliability estimation for highly reliable products. To improve the efficiency of ALT, many optimum ALT design methods have been developed. However, most of the existing methods solely focus on the reliability estimation precision without considering the significant amounts of energy consumed by the equipment that creates the harsher-than-normal operating conditions in such experiments. In order to warrant the reliability estimation precision while reducing the total energy consumption, this article presents a fully integrated double-loop approach to the design of statistically and energy-efficient ALT experiments. As an important option, the new experimental design method is formulated as a multi-objective optimization problem with three objectives: (i) minimizing the experiment's total energy consumption; (ii) maximizing the reliability estimation precision; and (iii) minimizing the tracking error between the desired and actual stress loadings used in the experiment. A controlled elitist non-dominated sorting genetic algorithm is utilized to solve such large-scale optimization problems involving computer simulation. Numerical examples are provided to demonstrate the effectiveness and possible applications of the proposed experimental design method. Compared with the traditional and sequential optimal ALT planning methods, this method further improves the energy and statistical efficiency of ALT experiments.
加速寿命试验(ALT)已广泛应用于高可靠性产品的可靠性评估。为了提高ALT的效率,人们开发了许多ALT优化设计方法。然而,现有的方法大多只关注可靠性估计的精度,而没有考虑到在此类实验中设备所消耗的大量能量,这些能量会造成比正常工作条件更恶劣的条件。为了在保证可靠性估计精度的同时降低总能耗,本文提出了一种完全集成的双环方法来设计统计和节能ALT实验。作为一个重要的选择,新的实验设计方法是一个多目标优化问题,有三个目标:(1)最小化实验总能耗;(ii)使可靠性估计精度最大化;(iii)尽量减少实验中使用的期望应力载荷和实际应力载荷之间的跟踪误差。采用受控精英非支配排序遗传算法求解这类涉及计算机仿真的大规模优化问题。数值算例说明了所提出的实验设计方法的有效性和可能的应用。与传统的顺序优化ALT规划方法相比,该方法进一步提高了ALT实验的能量和统计效率。
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引用次数: 5
Maximizing quantitative traits in the mating design problem via simulation-based Pareto estimation 基于仿真的帕累托估计的配型设计问题数量特征最大化
Pub Date : 2016-02-21 DOI: 10.1080/0740817X.2015.1096430
S. R. Hunter, B. McClosky
ABSTRACT Commercial plant breeders improve economically important traits by selectively mating individuals from a given breeding population. Potential pairings are evaluated before the growing season using Monte Carlo simulation, and a mating design is created to allocate a fixed breeding budget across the parent pairs to achieve desired population outcomes. We introduce a novel objective function for this mating design problem that accurately models the goals of a certain class of breeding experiments. The resulting mating design problem is a computationally burdensome simulation optimization problem on a combinatorially large set of feasible points. We propose a two-step solution to this problem: (i) simulate to estimate the performance of each parent pair and (ii) solve an estimated version of the mating design problem, which is an integer program, using the simulation output. To reduce the computational burden when implementing steps (i) and (ii), we analytically identify a Pareto set of parent pairs that will receive the entire breeding budget at optimality. Since we wish to estimate the Pareto set in step (i) as input to step (ii), we derive an asymptotically optimal simulation budget allocation to estimate the Pareto set that, in our numerical experiments, out-performs Multi-objective Optimal Computing Budget Allocation in reducing misclassifications. Given the estimated Pareto set, we provide a branch-and-bound algorithm to solve the estimated mating design problem. Our approach dramatically reduces the computational effort required to solve the mating design problem when compared with naïve methods.
摘要:商业植物育种者通过对特定育种群体中的个体进行选择性交配来改善经济上重要的性状。在生长季节到来之前,利用蒙特卡罗模拟对潜在的配对进行评估,并创建交配设计,在亲本对之间分配固定的繁殖预算,以实现预期的种群结果。我们为这一交配设计问题引入了一个新的目标函数,它能准确地模拟某一类育种实验的目标。由此产生的配合设计问题是一个计算量很大的可行点组合上的仿真优化问题。我们提出了这个问题的两步解决方案:(i)模拟以估计每个父对的性能;(ii)使用模拟输出解决一个估计版本的交配设计问题,这是一个整数程序。为了减少执行步骤(i)和(ii)时的计算负担,我们分析地确定了一个Pareto亲本对集,该亲本对集将在最优状态下获得整个育种预算。由于我们希望估计步骤(i)中的帕累托集作为步骤(ii)的输入,我们推导了一个渐近最优的模拟预算分配来估计帕累托集,在我们的数值实验中,在减少错误分类方面优于多目标最优计算预算分配。给出了估计Pareto集,给出了一种分支定界算法来求解估计匹配设计问题。与naïve方法相比,我们的方法大大减少了解决配合设计问题所需的计算量。
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引用次数: 24
Nonparametric dynamic screening system for monitoring correlated longitudinal data 监测相关纵向数据的非参数动态筛选系统
Pub Date : 2016-02-12 DOI: 10.1080/0740817X.2016.1146423
Jun Yu Li, P. Qiu
ABSTRACT In many applications, including the early detection and prevention of diseases and performance evaluation of airplanes and other durable products, we need to sequentially monitor the longitudinal pattern of certain performance variables of a subject. A signal should be given as soon as possible after the pattern has become abnormal. Recently, a new statistical method, called a dynamic screening system (DySS), was proposed to solve this problem. It is a combination of longitudinal data analysis and statistical process control. However, the current DySS method can only handle cases where the observations are normally distributed and within-subject observations are independent or follow a specific time series model (e.g., AR(1) model). In this article, we propose a new nonparametric DySS method that can handle cases where the observation distribution and the correlation among within-subject observations are arbitrary. Therefore, it significantly broadens the application area of the DySS method. Numerical studies show that the new method works well in practice.
在许多应用中,包括疾病的早期检测和预防以及飞机和其他耐用产品的性能评估,我们需要对一个对象的某些性能变量的纵向模式进行顺序监测。当模式出现异常时,应尽快发出信号。最近,人们提出了一种新的统计方法——动态筛选系统(DySS)来解决这一问题。它是纵向数据分析和统计过程控制的结合。然而,目前的diss方法只能处理观测值正态分布、主体内观测值独立或遵循特定时间序列模型(如AR(1)模型)的情况。在本文中,我们提出了一种新的非参数dys方法,可以处理观测分布和主体内观测之间的相关性是任意的情况。因此,极大地拓宽了dys方法的应用领域。数值研究表明,该方法在实际应用中效果良好。
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引用次数: 32
A resource allocation approach for managing critical network-based infrastructure systems 管理关键的基于网络的基础设施系统的资源分配方法
Pub Date : 2016-02-12 DOI: 10.1080/0740817X.2016.1147662
M. Dehghani, H. Sherali
ABSTRACT In recent years, many resource allocation models have been developed to protect critical infrastructure by maximizing system resiliency or minimizing its vulnerability to disasters or disruptions. However, these are often computationally intensive and require simplifying assumptions and approximations. In this study, we develop a robust and representative, yet tractable, model for optimizing maintenance planning of generic network-structured systems (transportation, water, power, communication). The proposed modeling framework examines models that consider both linear and nonlinear objective functions and enhances their structure through suitable manipulations. Moreover, the designed models inherently capture the network topography and the stochastic nature of disruptions and can be applied to network-structured systems where performance is assessed based on network flow efficiency and mobility. The developed models are applied to the Istanbul highway system in order to assess their relative computational effectiveness and robustness using several test cases that consider single- and multiple-treatment types, and the problems are solved on the NEOS server using different available software. The results demonstrate that our models are capable of obtaining optimal solutions within a very short time. Furthermore, the linear model is shown to yield a good approximation to the nonlinear model (it determined solutions within 0.3% of optimality, on average). Managerial insights are provided in regard to the optimal policies obtained, which generally appear to favor selecting fewer links and applying a higher quality treatment to them.
近年来,许多资源分配模型被开发出来,通过最大化系统弹性或最小化其对灾害或中断的脆弱性来保护关键基础设施。然而,这些通常是计算密集型的,需要简化假设和近似。在本研究中,我们开发了一个稳健且具有代表性的模型,用于优化一般网络结构系统(交通,水,电力,通信)的维护计划。提出的建模框架考察了考虑线性和非线性目标函数的模型,并通过适当的操作增强了它们的结构。此外,所设计的模型固有地捕获了网络地形和中断的随机性质,并且可以应用于基于网络流效率和移动性评估性能的网络结构系统。将所开发的模型应用于伊斯坦布尔高速公路系统,通过考虑单处理和多处理类型的几个测试用例来评估其相对计算有效性和鲁棒性,并在NEOS服务器上使用不同的可用软件解决问题。结果表明,我们的模型能够在很短的时间内得到最优解。此外,线性模型显示出与非线性模型的良好近似(它确定的解决方案平均在最优性的0.3%以内)。提供了关于所获得的最佳政策的管理见解,这些政策通常似乎倾向于选择较少的环节并对它们采用更高质量的处理。
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引用次数: 12
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