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A proven optimal result for a benchmark instance of the uncapacitated examination timetabling problem 无限制考试时间安排问题基准实例的最优结果证明
IF 2 4区 工程技术 Q2 Engineering Pub Date : 2024-03-11 DOI: 10.1007/s10951-024-00805-0
Angelos Dimitsas, Christos Gogos, Christos Valouxis, Vasileios Nastos, Panayiotis Alefragis

Examination timetabling is a problem well known to the scheduling community. Its simplest version, which is the uncapacitated examination timetabling problem, is easily described and comprehended. Nevertheless, proof of optimality is notoriously difficult even for moderate size problems. In this paper, we describe the effort that our team exercised in finally proving the optimality of the sta83 instance of Carter’s dataset. The problem was decomposed naturally in three parts and for each part a different approach managed to prove optimality of the currently best known solution. This work also presents optimal solutions to subproblems that exist in various public datasets problems and two best known solutions of such problems.

考试时间安排是时间安排界众所周知的一个问题。它的最简单版本,即无容限考试时间安排问题,很容易描述和理解。然而,即使对于中等规模的问题,最优性的证明也是出了名的困难。在本文中,我们将介绍我们团队为最终证明卡特数据集的 sta83 实例的最优性所付出的努力。该问题被自然分解为三个部分,每个部分都采用了不同的方法来证明当前已知最佳解决方案的最优性。这项工作还提出了各种公共数据集问题中存在的子问题的最优解,以及此类问题的两个已知最佳解。
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引用次数: 0
A novel and efficient real-time sequencing strategy for appointment scheduling with unpunctual patients 针对不守时患者的预约排程的高效实时排序新策略
IF 2 4区 工程技术 Q2 Engineering Pub Date : 2024-02-26 DOI: 10.1007/s10951-023-00802-9

Abstract

No-shows and non-punctual appointments have always been uncertain factors faced by managers of service-oriented enterprises and institutions, which usually lead to a low utilization rate of resources and a rapid decline in service satisfaction. Taking clinics as an example, this paper proposes a novel and efficient real-time sequencing strategy to minimize the cost associated with patient waiting time, provider idle time and overtime considering no-shows and unpunctuality. Four types of patient waiting time are considered for the first time, based on which the developed real-time sequencing strategy is used for scheduling the waiting patients when the provider becomes idle. Then, a biased random-key genetic algorithm is adopted to determine the number of patients on appointment slots and the length of each appointment slot. Extensive computational experiments show that the derived real-time sequencing strategy achieves a significant cost reduction compared with the famous FCFS (first come first served) and the state-of-art LAR (the larger of appointment time and real arrival time) rules.

摘 要 无预约和不守时一直是服务型企事业单位管理者面临的不确定因素,通常会导致资源利用率低、服务满意度急剧下降。本文以诊所为例,提出了一种新颖、高效的实时排序策略,以最大限度地减少病人等待时间、服务提供者闲置时间以及考虑到爽约和不守时情况下的加班相关成本。本文首次考虑了四种类型的病人等待时间,在此基础上开发了实时排序策略,用于在医疗服务提供者闲置时安排等待的病人。然后,采用有偏向的随机密钥遗传算法来确定预约时段的患者人数和每个预约时段的长度。大量的计算实验表明,与著名的 FCFS(先到先服务)和最先进的 LAR(预约时间和实际到达时间的较大值)规则相比,衍生的实时排序策略能显著降低成本。
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引用次数: 0
A scheduling framework for distributed key-value stores and its application to tail latency minimization 分布式键值存储的调度框架及其在尾部延迟最小化中的应用
IF 2 4区 工程技术 Q2 Engineering Pub Date : 2024-02-26 DOI: 10.1007/s10951-023-00803-8
Sonia Ben Mokhtar, Louis-Claude Canon, Anthony Dugois, Loris Marchal, Etienne Rivière

Distributed key-value stores employ replication for high availability. Yet, they do not always efficiently take advantage of the availability of multiple replicas for each value and read operations often exhibit high tail latencies. Various replica selection strategies have been proposed to address this problem, together with local request scheduling policies. It is difficult, however, to determine what is the absolute performance gain each of these strategies can achieve. We present a formal framework allowing the systematic study of request scheduling strategies in key-value stores. We contribute a definition of the optimization problem related to reducing tail latency in a replicated key-value store as a minimization problem with respect to the maximum weighted flow criterion. By using scheduling theory, we show the difficulty of this problem and therefore the need to develop performance guarantees. We also study the behavior of heuristic methods using simulations that highlight which properties enable limiting tail latency: for instance, the EarliestFinishTime strategy—which uses the earliest next available time of servers—exhibits a tail latency that is less than half that of state-of-the-art strategies, often matching the lower bound. Our study also emphasizes the importance of metrics such as the stretch to properly evaluate replica selection and local execution policies.

分布式键值存储采用复制技术实现高可用性。然而,它们并不总是能有效地利用每个值的多个副本的可用性,读取操作往往表现出较高的尾部延迟。为了解决这个问题,人们提出了各种副本选择策略和本地请求调度策略。但是,很难确定这些策略各自能实现的绝对性能增益。我们提出了一个正式框架,允许对键值存储中的请求调度策略进行系统研究。我们将与减少复制键值存储中的尾部延迟有关的优化问题定义为与最大加权流量准则有关的最小化问题。通过使用调度理论,我们展示了这一问题的难度,因此需要开发性能保证。我们还利用仿真研究了启发式方法的行为,这些仿真突出了哪些特性可以限制尾部延迟:例如,EarliestFinishTime 策略(它使用服务器最早的下一个可用时间)显示的尾部延迟不到最先进策略的一半,通常与下限相匹配。我们的研究还强调了拉伸等指标对于正确评估副本选择和本地执行策略的重要性。
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引用次数: 0
Continuity of care in home health care scheduling: a rolling horizon approach 居家医疗护理排班中的持续护理:滚动视野法
IF 2 4区 工程技术 Q2 Engineering Pub Date : 2024-01-27 DOI: 10.1007/s10951-023-00796-4
Şeyma Güven-Koçak, Aliza Heching, Pınar Keskinocak, Alejandro Toriello

This work addresses a home health care scheduling problem faced by home care agencies. In home health care scheduling, there is a desire to retain consistency with respect to the home health aide servicing each patient; this consistency is referred to as continuity of care. To address this preference for continuity of care, we propose a rolling horizon approach to the scheduling problem and introduce the consistent home health care scheduling problem (Con-HHCSP). The goal is to be able to quantify and control the deviation of the new schedule suggested each day from the existing schedule in place, so that some of the existing assignments may be retained in the new schedule that is produced. We present two different methods to solve Con-HHCSP on a daily basis: an integer programming-based method with approximations and a variant of a petal heuristic. We discuss the performance and computational efficiency of these methods.

这项研究解决了家庭护理机构面临的一个家庭健康护理调度问题。在家庭医疗调度中,人们希望为每位患者提供服务的家庭医疗助理保持一致;这种一致性被称为护理的连续性。为了解决这种对护理连续性的偏好,我们对调度问题提出了一种滚动水平线方法,并引入了一致的家庭医疗调度问题(Con-HHCSP)。该问题的目标是量化和控制每天建议的新日程表与现有日程表的偏差,以便在生成的新日程表中保留部分现有任务。我们介绍了两种解决 Con-HHCSP 日常问题的不同方法:一种是基于整数编程的近似方法,另一种是花瓣启发式的变体。我们讨论了这些方法的性能和计算效率。
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引用次数: 0
Scheduling the repair and replacement of individual components in operating systems: a bi-objective mathematical optimization model 安排操作系统中单个组件的维修和更换:双目标数学优化模型
IF 2 4区 工程技术 Q2 Engineering Pub Date : 2023-12-21 DOI: 10.1007/s10951-023-00800-x
Gabrijela Obradović, Ann-Brith Strömberg, Kristian Lundberg
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引用次数: 0
Multi-neighbourhood simulated annealing for the ITC-2007 capacitated examination timetabling problem 多邻域模拟退火法解决 ITC-2007 年容纳性考试时间安排问题
IF 2 4区 工程技术 Q2 Engineering Pub Date : 2023-12-19 DOI: 10.1007/s10951-023-00799-1

Abstract

We propose a multi-neighbourhood simulated annealing algorithm for the ITC-2007 version of the capacitated examination timetabling problem. The proposed solver is based on a combination of existing as well as newly proposed neighbourhoods that better exploit the disconnected structure of the underlying conflict graph and that explicitly deal with the assignment of exams to rooms. We use a principled tuning procedure to determine the parameters of the algorithm and assess the contribution of the various neighbourhoods by means of an ablation analysis. The resulting algorithm is able to compete with existing state-of-the-art solvers and finds several new best solutions for a variety of well-known problem instances.

摘要 我们提出了一种多邻域模拟退火算法,用于解决 ITC-2007 版的有容量考试时间安排问题。所提出的求解器基于现有邻域和新提出的邻域的组合,这些邻域更好地利用了底层冲突图的断开结构,并明确地处理了考场分配问题。我们采用有原则的调整程序来确定算法参数,并通过消融分析来评估各种邻域的贡献。由此产生的算法能够与现有的最先进求解器相媲美,并为各种众所周知的问题实例找到了多个新的最佳解决方案。
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引用次数: 0
Dynamic scheduling problems in theory and practice 理论与实践中的动态调度问题
IF 2 4区 工程技术 Q2 Engineering Pub Date : 2023-12-14 DOI: 10.1007/s10951-023-00798-2
Stanisław Gawiejnowicz, Bertrand Miao-Tsong Lin, G. Mosheiov
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引用次数: 0
Mathematical challenges in scheduling theory 调度理论的数学挑战
IF 2 4区 工程技术 Q2 Engineering Pub Date : 2023-11-19 DOI: 10.1007/s10951-023-00797-3
Jacek Blazewicz, Benjamin Moseley, Erwin Pesch, Denis Trystram, Guochuan Zhang
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引用次数: 0
The price of anarchy for a berth allocation game 泊位分配博弈的无政府状态的代价
4区 工程技术 Q2 Engineering Pub Date : 2023-11-09 DOI: 10.1007/s10951-023-00791-9
Jiayin Pan, Cong Chen, Yinfeng Xu
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引用次数: 0
A review and classification of scheduling objectives in unpaced flow shops for discrete manufacturing 离散制造无步进流程车间调度目标的综述与分类
4区 工程技术 Q2 Engineering Pub Date : 2023-11-06 DOI: 10.1007/s10951-023-00795-5
Frederik Ferid Ostermeier, Jochen Deuse
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引用次数: 0
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Journal of Scheduling
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