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Industrial-size job shop scheduling with constraint programming 具有约束规划的工业规模作业车间调度
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100249
Giacomo Da Col , Erich C. Teppan

The job shop scheduling problem is one of the most studied optimization problems to this day and it becomes more and more important in the light of the fourth industrial revolution (Industry 4.0) that aims at fully automated production processes. For a long time exact methods like constraint programming had problems to solve real large-scale problem instances and methods of choice were to be found in the area of (meta-) heuristics. However, developments during the last decade improved the performance of state-of-the-art constraint solvers dramatically, to the point that they can be applied also on large-scale instances. The presented work’s main target is to elaborate the performance of state-of-the-art constraint solvers with respect to industrial-size job shop scheduling problem instances. To this end, we analyze and compare the performance of two cutting-edge constraint solvers: OR-Tools, an open-source solver developed by Google and recurrent winner of the MiniZinc Challenge, and CP Optimizer, a proprietary constraint solver from IBM targeted at industrial optimization problems. In order to reflect real-world industrial scenarios with heavy workloads like found in the semi-conductor domain, we use novel benchmarks that comprise up to one million operations to be scheduled on up to one thousand machines. The comparison is based on the best makespan (i.e. completion time) achieved and the time required to solve the problem instances. We test the solvers on single-core and quad-core configurations.

作业车间调度问题是当今研究最多的优化问题之一,鉴于第四次工业革命(工业4.0)旨在实现全自动化生产过程,它变得越来越重要。长期以来,像约束规划这样的精确方法在解决实际的大规模问题实例时存在问题,而选择方法则是在(元)启发式领域找到的。然而,过去十年的发展极大地提高了最先进的约束求解器的性能,以至于它们也可以应用于大规模实例。提出的工作的主要目标是详细说明关于工业规模的作业车间调度问题实例的最先进的约束求解器的性能。为此,我们分析并比较了两种前沿约束求解器的性能:OR-Tools(谷歌开发的开源求解器,也是MiniZinc挑战赛的多次获奖者)和CP Optimizer (IBM针对工业优化问题的专有约束求解器)。为了反映在半导体领域中发现的具有繁重工作负载的真实工业场景,我们使用了新的基准测试,其中包括多达一千台机器上安排的多达一百万个操作。比较是基于实现的最佳makespan(即完成时间)和解决问题实例所需的时间。我们在单核和四核配置上测试求解器。
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引用次数: 7
Intuitionistic fuzzy MAUT-BW Delphi method for medication service robot selection during COVID-19 基于直觉模糊mut - bw德尔菲法的COVID-19用药服务机器人选择
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100258
Daekook Kang , S. Aicevarya Devi , Augustin Felix , Samayan Narayanamoorthy , Samayan Kalaiselvan , Dumitru Balaenu , Ali Ahmadian

Coronavirus Disease 2019 (COVID-19), a new illness caused by a novel coronavirus, a member of the corona family of viruses, is currently posing a threat to all people, and it has become a significant challenge for healthcare organizations. Robotics are used among other strategies, to lower COVID’s fatality and spread rates globally. The robot resembles the human body in shape and is a programmable mechanical device. As COVID is a highly contagious disease, the treatment for the critical stage COVID patients is decided to regulate through medication service robots (MSR). The use of service robots diminishes the spread of infection and human error and prevents frontline healthcare workers from exposing themselves to direct contact with the COVID illness. The selection of the most appropriate robot among different alternatives may be complex. So, there is a need for some mathematical tools for proper selection. Therefore, this study design the MAUT-BW Delphi method to analyze the selection of MSR for treating COVID patients using integrated fuzzy MCDM methods, and these alternatives are ranked by influencing criteria. The trapezoidal intuitionistic fuzzy numbers are beneficial and efficient for expressing vague information and are defuzzified using a novel algorithm called converting trapezoidal intuitionistic fuzzy numbers into crisp scores (CTrIFCS). The most suitable criteria are selected through the fuzzy Delphi method (FDM), and the selected criteria are weighted using the simplified best–worst method (SBWM). The performance between the alternatives and criteria is scrutinized under the multi-attribute utility theory (MAUT) method. Moreover, to assess the effectiveness of the proposed method, sensitivity and comparative analyses are conducted with the existing defuzzification techniques and distance measures. This study also adopt the idea of a correlation test to compare the performance of different defuzzification methods.

2019冠状病毒病(COVID-19)是由冠状病毒家族成员新型冠状病毒引起的一种新疾病,目前对所有人构成威胁,已成为医疗保健机构面临的重大挑战。除其他策略外,还使用机器人技术来降低COVID - 19的死亡率和全球传播率。机器人外形酷似人体,是一种可编程的机械装置。由于新冠肺炎是高度传染性疾病,因此决定通过药物服务机器人(MSR)来管理危重期患者的治疗。服务机器人的使用减少了感染的传播和人为失误,并防止一线医护人员直接接触COVID - 19疾病。在不同的备选方案中选择最合适的机器人可能是复杂的。因此,需要一些数学工具来进行适当的选择。因此,本研究设计了mot - bw德尔菲法,采用综合模糊MCDM方法分析治疗新冠肺炎患者的MSR选择,并根据影响标准对这些备选方案进行排序。梯形直觉模糊数是表达模糊信息的一种有效方法,利用梯形直觉模糊数转换成清晰分数(CTrIFCS)算法对其进行去模糊化。采用模糊德尔菲法(FDM)选择最合适的评价标准,并采用简化的最佳-最差评价法(SBWM)对评价标准进行加权。在多属性效用理论(MAUT)方法下,研究了备选方案与标准之间的性能关系。此外,为了评估所提出方法的有效性,与现有的去模糊化技术和距离测量进行了灵敏度和比较分析。本研究还采用了相关检验的思想来比较不同去模糊化方法的性能。
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引用次数: 8
A marginal analysis framework to incorporate the externality effect of ordering perishables 考虑易腐品排序外部性效应的边际分析框架
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100230
Katsunobu Sasanuma , Mohammad Delasay , Christine Pitocco , Alan Scheller-Wolf , Thomas Sexton

The exact analysis of optimal ordering policies for periodic-review perishable inventory systems is challenging because of their high-dimensional state space arising from multiple interrelated ordering decisions over many periods and age distributions of on-hand products. We develop a new marginal analysis framework to approximate this complex multiple-decision model into a single-decision model with an externality term, which internalizes the long-term impact of ordering decisions. Our externality-based approximation utilizes a constant base-stock policy; it is fast and easy to apply. Numerical experiments show that our approach provides state-dependent ordering amounts almost identical to the optimal dynamic programming-based policy.

由于易腐库存系统的高维状态空间是由多个相互关联的订货决策和库存产品的年龄分布所引起的,因此对易腐库存系统的最优订货策略的精确分析具有挑战性。我们开发了一个新的边际分析框架,将这个复杂的多决策模型近似为一个具有外部性项的单决策模型,该模型内部化了排序决策的长期影响。我们基于外部性的近似采用恒定的基本库存策略;它是快速和容易应用。数值实验表明,我们的方法依赖政府提供订购数量几乎相同的最优动态programming-based政策。
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引用次数: 0
New Matrix Methodology for Algorithmic Transparency in Assembly Line Balancing Using a Genetic Algorithm 基于遗传算法的装配线平衡算法透明性新矩阵方法
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100223
Juan Ignacio Anel , Pau Català , Moisès Serra , Bruno Domenech

This article focuses on the Mixed-Model Assembly Line Balancing single-target problem of type 2 with single-sided linear assembly line configurations, which is common in the industrial environment of small and medium-sized enterprises (SMEs). The main objective is to achieve Algorithmic Transparency (AT) when using Genetic Algorithms for the resolution of balancing operation times. This is done by means of a new matrix methodology that requires working with product functionalities instead of product references.

The achieved AT makes it easier for process engineers to interpret the obtained solutions using Genetic Algorithms and the factors that influence decisions made by algorithms, thereby helping in the later decision-making process. Additionally, through the proposed new matrix methodology, the computational cost is reduced with respect to the stand-alone use of Genetic Algorithms.

The AT produced using the new matrix methodology is validated through its application in an industry-based paradigmatic example.

本文主要研究了在中小企业工业环境中常见的具有单面线性装配线配置的2型混合模型装配线平衡单目标问题。主要目标是在使用遗传算法解决平衡操作时间时实现算法透明性(AT)。这是通过一种新的矩阵方法来实现的,这种方法需要处理产品功能而不是产品引用。实现的AT使过程工程师更容易使用遗传算法和影响算法做出决策的因素来解释获得的解决方案,从而有助于后期的决策过程。此外,通过提出新的矩阵方法,相对于单独使用遗传算法,计算成本降低。使用新矩阵方法产生的AT通过其在基于行业的范例中的应用得到验证。
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引用次数: 2
SMEs in Covid-19 Crisis and Combating Strategies: A Systematic Literature Review (SLR) and A Case from Emerging Economy 新冠肺炎危机中的中小企业及其应对策略:系统文献综述与新兴经济体案例
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100222
Mohammad Rokibul Hossain , Fahmida Akhter , Mir Misnad Sultana

The paper intends to understand the research trends in “Covid-19 and SME” through a Systematic Literature Review (SLR) and extract themes to explore the most affected areas of SMEs during the Covid-19 pandemic. Subsequently, the study attempts to know the struggles of SME during Covid-19 crisis in a developing country . Furthermore, the study provides a critical dynamic resilience strategy framework to manage the SMEs in the crisis period. The authors extracted data from Scopus and Web of science to conduct a Systematic Literature Review (SLR), Extracted data from both databases were merged using R programming get the same tag in R programming. The study adopts a bibliometric analysis to present the research corpus in the domain of “Covid-19 and SMEs”. The cluster method of R programming has been used to usher the significantly affected areas of SMEs. Based on the cluster theme, an open-ended questionnaire was developed and used to interview 23 SMEs in Bangladesh for the case study. NVIVO-13.00 was used to extract the topic from the transcriptions of the interviews. The study reveals that Cash flow shortages and Supply Chain Disruptions are the critical constraints of SMEs. On the contrary, Digital transformation has gained momentum during this crisis. Enterprises that made the best use of digital platforms through technology, digital marketing, and innovations secured the peak of success and profitability. The study also recommends a critical dynamic, resilient strategy model to adopt in the "new normal" for successful navigation of SME business in the future. The study is the first of its kind that integrates SLR and a case study on the hurdles of SME owners during the Covid 19 crisis. Thus, it helps advance the understanding of the subject matter and enables the formulation of resilient strategies by policymakers and SME owners to navigate the business in any potential crisis in the future. The study has significant methodological contribution as it presents how to merge both Scopus and web of science data to conduct bibliometric analysis through R programming. Besides, it also contributes to using R’s clustering method to extract themes for “SME and Covid -19” domain. Finally, the study presents an overview of SMEs in crisis such as Covid-19 and a case study of a rising economy and its response measures. The Case study has been designed to concentrate on Bangladesh’s SME owners and practical implications potentially limited to Emerging Asian Economies.

本文拟通过系统性文献综述(SLR)了解“新冠肺炎与中小企业”的研究趋势,并提取主题,探索新冠肺炎大流行期间中小企业受影响最大的领域。随后,本研究试图了解发展中国家中小企业在新冠肺炎危机期间的挣扎。此外,该研究还为中小企业在危机时期的管理提供了一个关键的动态弹性战略框架。作者从Scopus和Web of science中提取数据进行系统文献综述(SLR),使用R编程将两个数据库中提取的数据合并,在R编程中获得相同的标签。本研究采用文献计量分析的方法呈现了“新冠肺炎与中小企业”领域的研究语料库。采用R编程的聚类方法对中小企业的显著影响区域进行了引导。基于集群主题,开发了一份开放式问卷,并用于采访孟加拉国的23家中小企业进行案例研究。使用NVIVO-13.00从访谈记录中提取主题。研究表明,现金流短缺和供应链中断是制约中小企业发展的关键因素。相反,在这场危机中,数字化转型获得了动力。通过技术、数字营销和创新充分利用数字平台的企业获得了成功和盈利的顶峰。该研究还建议在“新常态”下采用一个关键的动态、弹性战略模型,以帮助中小企业在未来成功导航。该研究是同类研究中首次将SLR和关于中小企业所有者在2019冠状病毒病危机期间遇到的障碍的案例研究结合起来。因此,它有助于促进对主题的理解,并使政策制定者和中小企业所有者能够制定弹性战略,以便在未来的任何潜在危机中驾驭业务。该研究具有重要的方法论贡献,因为它展示了如何通过R编程合并Scopus和web科学数据来进行文献计量分析。此外,它还有助于使用R的聚类方法提取“SME和Covid -19”领域的主题。最后,本研究概述了面临新冠疫情等危机的中小企业,并对新兴经济体及其应对措施进行了案例研究。该案例研究的重点是孟加拉国的中小企业主,以及可能仅限于亚洲新兴经济体的实际影响。
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引用次数: 48
Technological change in water use: A mean-field game approach to optimal investment timing 用水技术变革:最佳投资时机的平均场博弈方法
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100225
Géraldine Bouveret , Roxana Dumitrescu , Peter Tankov

The need for clean water is expected to substantially increase while further reductions of water availability in sufficient quantity and quality are projected owing to climate change and anthropogenic activities. Accordingly, the debate on water security has recently intensified and reached the intergovernmental arena. Industry is, in particular, one of the largest (non-consumptive) water users, accountable for massive toxic wastewater discharges and facing stringent and costly environmental oversight. However, the management of reservoirs is intricate and operational research must be further expanded to design tools that enhance water security while improving operators’ profitability.

We therefore consider a game-theoretic framework to study the strategies adopted by a large group of similar producers sharing a water reservoir for their manufacturing activities. Each operator faces random demand for its outputs and chooses the optimal time to invest in a technology that ends its reliance on the reservoir. This technology introduces cost saving opportunities for the operator and benefits for the environment. Each producer therefore solves a so-called optimal stopping problem, and all problems are coupled through the reservoir level. We formulate the problem of finding a Nash equilibrium as a mean-field game (MFG) of optimal stopping. We then apply the model to the paper milling industry, an extensive water user facing a tightening of environmental regulations. This paper provides fresh insights into how to rethink the problem of technological change and water management, by offering an innovative application of operational research that builds on recent mathematical developments made in MFG theory.

预计对清洁水的需求将大大增加,而由于气候变化和人为活动,预计在足够数量和质量上可获得的水将进一步减少。因此,关于水安全的辩论最近愈演愈烈,并扩大到政府间领域。特别是工业是最大的(非消费)用水户之一,对大量有毒废水的排放负有责任,并面临严格和昂贵的环境监督。然而,水库的管理是复杂的,必须进一步扩大运筹学研究,设计出既能提高水安全,又能提高作业者盈利能力的工具。因此,我们考虑一个博弈论框架来研究一大批相似的生产者为他们的制造活动共享一个水库所采取的策略。每家油公司都面临着对其产量的随机需求,并选择最佳时间投资于一项技术,从而结束对油藏的依赖。该技术为作业者节省了成本,并为环境带来了好处。因此,每个生产商都解决了一个所谓的最优停止问题,所有问题都通过油藏水平耦合在一起。我们将寻找纳什均衡的问题表述为最优停止的平均场博弈(MFG)。然后,我们将该模型应用于造纸行业,这是一个面临日益严格的环境法规的广泛用水户。本文提供了如何重新思考技术变革和水管理问题的新见解,通过提供基于MFG理论中最近数学发展的运筹学的创新应用。
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引用次数: 0
A novel methodology employed for ranking and consolidating performance indicators in holding companies with multiple power plants based on multi-criteria decision-making method 基于多准则决策方法的多电厂控股公司绩效指标排序与整合新方法
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100254
C.A. Murad , M.M. Bellinello , A.J. Silva , A. Caminada Netto , G.F.M. de Souza , S.I. Nabeta

A large international energy corporation owning power operations in several countries, including several generation plants as well as transmission and distribution units in Brazil's energy matrix, adopts for quite some time now the policy that performance monitoring should be left to each individual operation's management. This decentralized approach is viewed as undoubtedly having a number of managerial advantages, so much, so that it is currently in force and performance indicators are being established locally. This approach, however, has the basic disadvantage that quantitative comparisons are hard to make between operations, i.e., adequate tactical comparative assessment at corporate level, with immediate and potential unfavorable implications. Therefore, the present work undertakes to investigate the possibility of consolidating a comprehensive set of indicators capable of accommodating more possibilities of comparison between different power generation plants. The research also employs an effective ranking method in order to take as much managerial advantage as possible of the new body of identified indicators. An application example involving a set of selected indicators is presented.

一家大型国际能源公司在几个国家拥有电力业务,包括巴西能源矩阵中的几个发电厂和输配电单位,该公司很长一段时间以来一直采取的政策是,绩效监测应留给每个单独的运营管理。这种分散的办法无疑被认为具有许多管理上的优点,因此目前正在实行,而且正在当地制订业绩指标。然而,这种方法有一个基本的缺点,即难以在各业务之间进行定量比较,即在公司一级进行适当的战术比较评估,具有直接和潜在的不利影响。因此,目前的工作是调查是否可能合并一套全面的指标,以便在不同发电厂之间进行更多的比较。该研究还采用了一种有效的排名方法,以便尽可能多地利用新的确定指标的管理优势。给出了一组选定指标的应用实例。
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引用次数: 0
Which rectangle sets have perfect packings? 哪些矩形集合有完美的包装?
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2021.100211
Florian Braam , Daan van den Berg

In the perfect rectangle packing problem, a set of rectangular items have to be placed inside a rectangular container without overlap or empty space. In this paper, we generate a large number of random instances and decide them all with an exact solving algorithm. Both an instance’s solution probability and its hardness measured in recursions or system time, seems to critically depend on tmax, a parameter in the generation procedure that assigns the maximally choosable random side lengths of items in the instance. We numerically characterize the solvability across instance sizes, and derive a rule for generating (un)solvable problem instances of arbitrary size.

在完美矩形包装问题中,一组矩形物品必须放置在一个矩形容器中,没有重叠或空白空间。在本文中,我们生成了大量的随机实例,并用一种精确求解算法来确定它们。实例的解决概率和它在递归或系统时间中测量的硬度似乎都严重依赖于tmax, tmax是生成过程中的一个参数,用于分配实例中项目的最大可选随机边长度。我们在数值上描述了跨实例大小的可解性,并推导了生成任意大小的(不可)可解问题实例的规则。
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引用次数: 5
Political districting without geography 没有地理的政治分区
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100227
Gerdus Benadè , Nam Ho-Nguyen , J.N. Hooker

Geographical considerations such as contiguity and compactness are necessary elements of political districting in practice. Yet an analysis of the problem without such constraints yields mathematical insights that can inform real-world model construction. In particular, it clarifies the sharp contrast between proportionality and competitiveness and how it might be overcome in a properly formulated objective function. It also reveals serious weaknesses of the much-discussed efficiency gap as a criterion for gerrymandering.

地理上的考虑,如邻近性和紧凑性,是实践中政治区划的必要因素。然而,在没有这些约束的情况下,对问题的分析产生了数学见解,可以为现实世界的模型构建提供信息。特别是,它澄清了比例性和竞争性之间的鲜明对比,以及如何在适当制定的目标函数中加以克服。它还揭示了备受讨论的效率差距作为不公正划分选区标准的严重弱点。
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引用次数: 0
Health lean management implementation in local health networks: A systematic literature review 卫生精益管理在地方卫生网络的实施:系统的文献综述
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.1016/j.orp.2022.100256
Anna Tiso, Caterina Pozzan, Chiara Verbano

Purpose

The aim of the paper is to discuss the current knowledge about Health Lean Management (LM) implementations extending the focus toward the unexplored setting of Local Health Networks (HNs). In particular, the study analyses the fundamental variables of LM implementations: context, project characteristics, the process of implementation, outcomes, and enablers.

Methodology

A systematic literature review has been conducted according to the PRISMA statement, selecting 70 relevant papers for the descriptive and content analysis.

Findings

The conducted analysis allowed to formulate a theoretical framework. It points out the hallmarks of HLM projects in LHNs, structuring the existing knowledge and highlighting the gaps.

Originality

This paper offers the first systematic overview of LM implementations in HNs. Addressing this gap, the study provides meaningful insights about LM projects in a new complex context, suggesting future research opportunities. New synergies between LM and care integration strategies have been investigated, with the purpose of improving the quality of care. From a managerial perspective, the formulated theoretical framework could support health providers with a synthesis of the best managerial practices for further implementations.

目的:本文的目的是讨论当前关于健康精益管理(LM)实施的知识,将重点扩展到未开发的本地健康网络(HNs)设置。特别是,该研究分析了LM实施的基本变量:环境、项目特征、实施过程、结果和推动者。方法根据PRISMA声明进行系统文献综述,选取70篇相关论文进行描述性和内容分析。所进行的分析可以形成一个理论框架。它指出了高管理项目在低收入国家的特点,构建了现有知识并突出了差距。这篇论文提供了在HNs中实现LM的第一个系统概述。针对这一差距,该研究为LM项目在新的复杂背景下提供了有意义的见解,并提出了未来的研究机会。LM和护理整合策略之间的新协同效应已被调查,目的是提高护理质量。从管理的角度来看,制定的理论框架可以通过综合最佳管理实践来支持保健提供者,以便进一步实施。
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引用次数: 3
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Operations Research Perspectives
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