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Robust min-max (regret) optimization using ordered weighted averaging 使用有序加权平均法进行稳健的最小最大(遗憾)优化
IF 6.4 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-10-29 DOI: 10.1016/j.ejor.2024.10.028
Werner Baak, Marc Goerigk, Adam Kasperski, Paweł Zieliński
In decision-making under uncertainty, several criteria have been studied to aggregate the performance of a solution over multiple possible scenarios. This paper introduces a novel variant of ordered weighted averaging (OWA) for optimization problems. It generalizes the classic OWA approach, which includes the robust min–max optimization as a special case, as well as the min–max regret optimization. We derive new complexity results for this setting, including insights into the inapproximability and approximability of this problem. In particular, we provide stronger positive approximation results that asymptotically improve the previously best-known bounds for the classic OWA approach.
在不确定情况下进行决策时,人们研究了几种标准,以综合多种可能情况下解决方案的性能。本文为优化问题引入了一种新的有序加权平均法(OWA)变体。它概括了经典的 OWA 方法,其中包括作为特例的稳健最小最优化以及最小遗憾最优化。我们推导出了这一设置的新复杂性结果,包括对这一问题的不可逼近性和可逼近性的见解。特别是,我们提供了更强的正向近似结果,渐进地改进了经典 OWA 方法之前最著名的界限。
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引用次数: 0
Analyzing the price of fairness in scheduling problems with two agents 分析双代理人调度问题中的公平代价
IF 6.4 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-10-29 DOI: 10.1016/j.ejor.2024.10.023
Jin Yu, Peihai Liu, Xiwen Lu, Manzhan Gu
This paper focuses on the price of fairness in several scheduling problems with two agents, each with a set of nonpreemptive jobs, competing to execute their respective jobs on a single machine. Each agent expects to minimize its objective function, which depends on the completion times of its own jobs. Several objective functions are considered, including makespan, total (weighted) completion time and maximum tardiness. We focus on problems in which both agents pursue the same objective function. For each problem, we analyze the price of fairness and the complexity to find the fairness schedules among the Pareto optimal schedules. When the objective functions of both agents are total completion time, we design an algorithm to generate a near-fair solution and analyze its price of fairness.
本文重点研究了几个调度问题中的公平性代价,这些问题涉及两个代理,每个代理都有一组非抢占式作业,竞争着在一台机器上执行各自的作业。每个代理都希望最小化其目标函数,而目标函数取决于其自身作业的完成时间。我们考虑了多个目标函数,包括作业完成时间、总(加权)完成时间和最大迟到时间。我们重点关注两个代理追求相同目标函数的问题。针对每个问题,我们分析了公平性的代价以及在帕累托最优计划中找到公平计划的复杂性。当两个代理的目标函数都是总完成时间时,我们设计了一种算法来生成接近公平的解决方案,并分析其公平代价。
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引用次数: 0
Interrelationships of Non-cooperative, Classical and Pareto coalitional stability definitions 非合作、经典和帕累托联盟稳定性定义的相互关系
IF 6.4 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-10-28 DOI: 10.1016/j.ejor.2024.10.035
Ziming Zhu, D. Marc Kilgour, Keith W. Hipel, Jing Yu
Theorems are established on the interrelationships among non-cooperative, classical and Pareto coalitional stability definitions within the framework of the graph model for conflict resolution. The classical coalition stability concepts are first redefined and then, based on the concept of Pareto coalition improvement, new definitions are proposed for Pareto coalition Nash, Pareto coalition general metarational, Pareto coalition symmetric metarational, and Pareto coalition sequential stability. Relations among Pareto coalition stability definitions, earlier coalition stability definitions, and non-cooperative analogues are explained. The practical applicability of these stability definitions is illustrated through their application to a real-world conflict, a 2014 offshore oil exploration dispute in the South China Sea. The equilibrium results confirm the theoretical validity of the new definitions, and show that valuable insights that can be garnered using the Pareto coalition stability approach.
在解决冲突的图模型框架内,建立了非合作、经典和帕累托联盟稳定性定义之间的相互关系定理。首先重新定义了经典联盟稳定性概念,然后根据帕累托联盟改进概念,提出了帕累托联盟纳什稳定性、帕累托联盟一般元稳定性、帕累托联盟对称元稳定性和帕累托联盟顺序稳定性的新定义。解释了帕累托联盟稳定性定义、早期联盟稳定性定义和非合作类比之间的关系。通过将这些稳定性定义应用于现实世界的冲突--2014 年中国南海的海上石油勘探争端,说明了这些稳定性定义的实际适用性。均衡结果证实了新定义的理论正确性,并表明使用帕累托联盟稳定性方法可以获得有价值的见解。
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引用次数: 0
The distributed flow shop scheduling problem with inter-factory transportation 有工厂间运输的分布式流程车间调度问题
IF 6.4 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-10-28 DOI: 10.1016/j.ejor.2024.10.026
Tristan Becker, Janis Neufeld, Udo Buscher
Large manufacturing companies often manage a network of multiple factories, creating a distributed flow shop scheduling problem for flowline manufacturing processes. This problem involves assigning jobs to one of several distributed factories, each equipped with identical flow shops, and completing the jobs within their designated factory. We expand upon the traditional distributed flow shop scheduling problem by incorporating the transportation of intermediate goods between factories. This transportation can occur after each machine, with shipping times dependent on the distance between the origin and destination factories, potentially delaying further processing. Our objective is to minimize the makespan across all factories. We introduce an iterated greedy search procedure specifically designed for distributed flow shop scheduling with inter-factory transportation. Based on a graph representation, a speed-up procedure is developed to improve the algorithms search ability. Through computational studies, we demonstrate the effectiveness and efficiency of our proposed algorithm, and provide insights into the benefits of transportation. Our findings indicate that incorporating transportation enhances machine utilization across factories by alleviating bottlenecks, ultimately improving overall efficiency and reducing makespan. Besides, we are able to quantify the trade-off between transport times and the benefits of inter-factory transportation.
大型制造企业通常管理着由多个工厂组成的网络,这就为流水线制造过程带来了分布式流水车间调度问题。这个问题涉及将作业分配到多个分布式工厂中的一个,每个工厂都配备相同的流水车间,并在指定的工厂内完成作业。我们在传统分布式流水线调度问题的基础上,加入了工厂之间的中间产品运输。这种运输可能发生在每台机器之后,运输时间取决于起始工厂和目的地工厂之间的距离,可能会延迟进一步的处理。我们的目标是最小化所有工厂的生产间隔。我们引入了一种迭代贪婪搜索程序,该程序专为带有工厂间运输的分布式流程车间调度而设计。在图表示法的基础上,我们开发了一个加速程序来提高算法的搜索能力。通过计算研究,我们证明了所提算法的有效性和效率,并深入探讨了运输的益处。我们的研究结果表明,通过缓解瓶颈,结合运输提高了各工厂的机器利用率,最终提高了整体效率并缩短了生产周期。此外,我们还能量化运输时间与工厂间运输效益之间的权衡。
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引用次数: 0
The truck traveling salesman problem with drone and boat for humanitarian relief distribution in flood disaster: Mathematical model and solution methods 在洪水灾害中利用无人机和船只分发人道主义救援物资的卡车旅行推销员问题:数学模型与求解方法
IF 6.4 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-10-28 DOI: 10.1016/j.ejor.2024.10.022
Fadillah Ramadhan, Chandra Ade Irawan, Said Salhi, Zhao Cai
This paper presents an optimization model to distribute logistical items from a warehouse to shelters in the case of humanitarian flood disaster relief. The model utilizes three transportation modes, namely, a truck, a drone, and an inflatable boat. We refer to this problem as the Traveling Salesman Problem with Drone and Boat (TSP-DB). The truck acts as a mothership vehicle, carrying a drone and a boat. Shelters in the dry area can be served by truck and drone, while those in the flooded area can be accessed by boat and drone. The drone and boat are deployed from the truck to deliver items to shelters. Due to the limited capacity and the high relative demand at a shelter, the drone can only make one visit at a time before returning to the truck, while the boat can perform multiple visits in a single trip. The objective is to minimize the completion time. The proposed problem is first modeled using mixed integer linear programming. As the problem is hard to solve exactly, especially for relatively larger instances, an effective matheuristic that combines an exact method and the metaheuristic record-to-record travel algorithm is then proposed. The performance of the proposed approach is assessed using generated and benchmark instances. The results reveal that our method is robust and competitive when compared against existing state-of-the-art methods on related traveling salesman problems with drones. The proposed method is also applied to a real case study in Jakarta, Indonesia, where interesting and valuable managerial insights are discussed and analyzed.
本文提出了一种优化模型,用于在人道主义洪灾救援中将物流物品从仓库分发到避难所。该模型利用三种运输模式,即卡车、无人机和充气船。我们将这一问题称为 "带无人机和船的旅行推销员问题"(TSP-DB)。卡车作为母车,载着无人机和船。干旱地区的避难所可由卡车和无人机提供服务,而洪水地区的避难所可由船只和无人机提供服务。无人机和船只从卡车上调配,向避难所运送物品。由于收容所的容量有限且相对需求量大,无人机一次只能访问一次,然后返回卡车,而船只一次可以访问多次。目标是尽量缩短完成时间。首先使用混合整数线性规划对提出的问题进行建模。由于该问题难以精确求解,尤其是对于相对较大的实例,因此提出了一种有效的将精确方法和元启发式记录到记录旅行算法相结合的数学启发式。利用生成的实例和基准实例对所提出方法的性能进行了评估。结果表明,在与无人机相关的旅行推销员问题上,与现有的最先进方法相比,我们的方法既稳健又有竞争力。我们还将所提出的方法应用于印度尼西亚雅加达的一个实际案例研究,并在此基础上讨论和分析了有趣而有价值的管理见解。
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引用次数: 0
Robust multilinear target-based decision analysis considering high-dimensional interactions 考虑高维交互作用的基于目标的稳健多线性决策分析
IF 6.4 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-10-28 DOI: 10.1016/j.ejor.2024.10.036
Qiong Feng, Shurong Tong, Salvatore Corrente, Xinwei Zhang
The Multilinear Target-based Preference Functions (MTPFs) support multi-attribute decision problems characterized by attribute interactions and targets. However, existing research falls short in flexibly modeling high-dimensional interactions and lacks robustness in decision-making recommendations when faced with uncertain parameters and targets. The paper proposes a robust multilinear target-based decision analysis framework considering high-dimensional interactions, along with uncertainties in parameters and targets. First, the necessity of high-dimensional interactions and the limitations of available MTPFs in modeling high-dimensional interactions are demonstrated. Second, the MTPFs based on the 2-interactive fuzzy measure and the Nonmodularity index are proposed to model the high-dimensional interactions and simultaneously reduce the computational challenges of parameter identification. Third, new descriptive measures are proposed based on the Stochastic Multicriteria Acceptability Analysis to evaluate the robustness of decision recommendations subject to uncertain targets and parameters. The validation and advantages of the framework are illustrated with simulation studies and an application in customer competitive evaluation of smart thermometer patches.
基于目标的多线性偏好函数(MTPFs)支持以属性交互和目标为特征的多属性决策问题。然而,现有研究在灵活建模高维交互作用方面存在不足,在面对不确定参数和目标时,决策建议缺乏稳健性。本文提出了一种基于目标的稳健多线性决策分析框架,考虑了高维交互作用以及参数和目标的不确定性。首先,论证了高维交互的必要性以及现有 MTPF 在模拟高维交互方面的局限性。其次,提出了基于双交互模糊度量和非模块化指数的 MTPFs,以建立高维交互模型,同时降低参数识别的计算难度。第三,基于随机多标准可接受性分析法提出了新的描述性测量方法,用于评估决策建议在目标和参数不确定的情况下的稳健性。通过模拟研究和智能温度计贴片的客户竞争评估应用,说明了该框架的有效性和优势。
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引用次数: 0
A compromise solution approach for efficiency measurement with shared input: The case of tourist hotels in Taiwan 共享投入的效率测量折中方案:台湾旅游酒店案例
IF 6.4 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-10-25 DOI: 10.1016/j.ejor.2024.10.024
Chiang Kao, Shiang-Tai Liu
Shared input occurs often when a production system performs two or more functions and some of the functions share the same input. To determine the proportion of the shared input devoted to each function, the conventional data envelopment analysis (DEA) models that allow each decision making unit (DMU) to select the most favorable value to attain the highest efficiency score is usually used. The result is that many DMUs assign proportions of different bound values to the same function, which is not reasonable. This paper proposes a compromise solution approach that aggregates the viewpoints of all DMUs to obtain a consensus regarding the proportion of the shared input used by each function. The approach is actually a parametric DEA approach for constructing the production function. To increase the explanation power, transcendental functions are considered. The tourist hotel, where the accommodation and catering functions share the input of management employees is used for illustration. The results show that a transcendental function has stronger explanation power, and reasonable compromised values for the proportions of the effort of the management employees devoted to the two functions are obtained.
当一个生产系统执行两个或多个功能,其中一些功能共享相同的投入时,往往会出现共享投入。传统的数据包络分析(DEA)模型允许每个决策单元(DMU)选择最有利的值,以获得最高的效率得分。其结果是,许多 DMU 为同一功能分配了不同约束值的比例,这并不合理。本文提出了一种折中解决方案,即汇总所有 DMU 的观点,就各功能使用的共享输入比例达成共识。该方法实际上是一种构建生产函数的参数 DEA 方法。为了增加解释力,考虑了超越函数。以旅游酒店为例进行说明,其中住宿和餐饮职能共享管理员工的投入。结果表明,超越函数具有更强的解释力,并得到了管理员工在两个职能上投入精力比例的合理折衷值。
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引用次数: 0
Strategic behavior in multi-criteria sorting with trust relationships-based consensus mechanism: Application in supply chain risk management 基于信任关系共识机制的多标准排序中的战略行为:供应链风险管理中的应用
IF 6.4 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-10-24 DOI: 10.1016/j.ejor.2024.10.027
Fang Wang, Hengjie Zhang, Jigan Wang
Strategic behavior is common in multi-criteria sorting, where manipulated alternatives are allocated to the target category to achieve the intended goal. Engaging in such strategic behavior in sorting consensus often comes at a cost, which is closely tied to the degree of preference adjustments and the level of trust relationships among decision makers. This study investigates strategic behavior using piecewise cost-based consensus mechanism in social trust network. Firstly, the trust relationship dependent piecewise cost is formally defined and formulated by considering the impact of trust relationship on the preference adjustments willingness to achieve sorting consensus. Then, based on the trust relationship dependent piecewise cost, a preference strategic manipulation model is proposed to achieve strategic behavior in sorting consensus, which is implemented by minimizing the cost of strategically guiding decision makers in adjusting their preferences. Considering that social trust network affects strategic manipulation, a preference-network collaborative strategic manipulation model is further proposed, which is designed to strategically guide decision makers in adjusting both their preferences and social trust networks. Moreover, the practicality of proposed strategic manipulation models is exemplified through a case study on supply chain risk management and their performance is validated via simulation analysis.
战略行为在多标准排序中很常见,即把经过操纵的备选方案分配到目标类别中,以实现预期目标。在排序共识中采取这种策略行为往往需要付出代价,而这种代价与偏好调整程度和决策者之间的信任关系密切相关。本研究利用社会信任网络中基于计件成本的共识机制来研究策略行为。首先,通过考虑信任关系对实现排序共识的偏好调整意愿的影响,正式定义并提出了依赖于信任关系的计件成本。然后,基于信任关系依赖计件成本,提出了一种偏好策略操纵模型,通过最小化策略引导决策者调整偏好的成本来实现排序共识中的策略行为。考虑到社会信任网络会影响策略操纵,进一步提出了偏好-网络协同策略操纵模型,旨在策略性地引导决策者同时调整偏好和社会信任网络。此外,还通过供应链风险管理的案例研究说明了所提出的战略操纵模型的实用性,并通过模拟分析验证了这些模型的性能。
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引用次数: 0
Retailer-manufacturer partnerships in E-commerce: Dual product strategy and market share dynamics 电子商务中零售商与制造商的伙伴关系:双产品战略和市场份额动态
IF 6.4 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-10-24 DOI: 10.1016/j.ejor.2024.10.031
Raziyeh Reza-Gharehbagh, Moutaz Khouja, Ramzi Hammami
A new practice among online retail platforms, e.g., Amazon and Wayfair, is to offer their own private label product and a substitutable exclusive manufacturer product. We employ a game theoretic approach to examine conditions under which a retailer and a manufacturer find it optimal to enter into such a partnership. Our analysis reveals that a retailer finds it profitable to partner with a manufacturer with one of two profiles. The first is a manufacturer with low unit production and holding costs and large capacity, and the retailer gives the manufacturer most of the market share. In this case, the retailer uses a low private product price and marketing effort to pressure the manufacturer to set a low exclusive product price, which increases the manufacturer's revenue and the retailer's fees. The second is a manufacturer with a large consumer base, high unit production and holding costs, and small capacity. For this profile, the retailer takes most of the market share by offering a low private product price, and the manufacturer is unable to counteract the retailer's low private product price and marketing effort. The partnership results in a lower price when the marketing effort is costly and the retailer relies on private product price, intensifying price competition. Under some conditions, the retailer's profit may decrease in his share of the manufacturer's revenue. Also, the retailer may increase the marketing effort and decrease the private product price, not to take market share, but to pressure the manufacturer to decrease price.
在线零售平台(如亚马逊和 Wayfair)的一种新做法是提供自己的自有品牌产品和可替代的独家制造商产品。我们采用博弈论的方法来研究零售商和制造商在什么条件下达成这种合作关系是最优的。我们的分析表明,零售商认为与两种情况之一的制造商合作是有利可图的。第一种是生产商的单位生产成本和持有成本低,生产能力大,零售商将大部分市场份额让给生产商。在这种情况下,零售商利用低廉的私人产品价格和营销努力向制造商施压,迫使其制定低廉的独家产品价格,从而增加制造商的收入和零售商的费用。第二种情况是生产商拥有庞大的消费群体,单位生产和持有成本高,产能小。在这种情况下,零售商通过提供低廉的专卖产品价格占据了大部分市场份额,而制造商则无法抵消零售商的低廉专卖产品价格和营销努力。当市场营销成本高昂而零售商依赖自有产品价格时,合作关系会导致价格下降,从而加剧价格竞争。在某些情况下,零售商的利润可能会减少其在制造商收入中所占的份额。此外,零售商可能会加大营销力度,降低自有产品价格,这不是为了抢占市场份额,而是为了向制造商施压,迫使其降价。
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引用次数: 0
Two-phase matheuristic for assignment and truck loading problems 分配和卡车装载问题的两阶段求解法
IF 6.4 2区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-10-21 DOI: 10.1016/j.ejor.2024.10.020
Jakob Schulte, Daniel Wetzel
We introduce a novel two-phase matheuristic for assignment and truck loading. The scope of our approach involves scenarios with an extensive amount of items requiring assignment to a heterogeneous fleet of trucks and subsequent transportation. A distinguishing feature of our matheuristic lies in the fact that the complex underlying problem is divided into subproblems which later are merged into a global solution. The proposed matheuristic tackles the assignment problem in its first phase, followed by a complex truck loading algorithm to validate the assignment solution in the second phase. This enables the identification of optimal solutions and adaptability to diverse use cases. This approach is motivated by the ROADEF/EURO challenge 2022 and is awarded with the scientific prize of the challenge. We demonstrate superior performance on selected instances, showcasing the potential for significant cost reduction in Renault’s supply chains.
我们为分配和卡车装载引入了一种新颖的两阶段模糊法。我们的方法适用于需要将大量物品分配到不同卡车队并进行后续运输的场景。我们的成熟算法的一个显著特点是将复杂的基本问题划分为多个子问题,然后将这些子问题合并为一个全局解决方案。所提出的数理方法在第一阶段处理分配问题,随后在第二阶段采用复杂的卡车装载算法来验证分配解决方案。这样就能确定最佳解决方案,并适应不同的使用情况。这种方法受到 ROADEF/EURO 2022 挑战赛的启发,并获得了该挑战赛的科学奖。我们在选定的实例中展示了卓越的性能,展示了在雷诺供应链中显著降低成本的潜力。
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引用次数: 0
期刊
European Journal of Operational Research
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