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A matheuristic approach for the multi-manned assembly line balancing problem with collaborative robots 协作机器人多人装配线平衡问题的数学方法
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-29 DOI: 10.1016/j.cor.2025.107322
Zhaofang Mao , Jiaxin Zhang , Yiting Sun , Dian Huang , Yida Xu
Multi-manned assembly lines play a vital role in modern manufacturing by enabling efficient management of complex assembly tasks and enhancing productivity, particularly for large-scale products. This paper investigates the integration of human–robot collaboration into multi-manned assembly lines, addressing a collaboration mode where workers and robots can flexibly choose to perform tasks in parallel or collaboratively execute the same task. This integration aims to enhance the efficiency of assembly resource utilization. We propose a mixed-integer programming model for this problem, with the primary objective of minimizing the number of workers and the secondary objective of minimizing the number of stations. Additionally, we establish a lower bound for the problem. To effectively solve medium and large-scale instances, we develop a matheuristic algorithm (MA) based on the mathematical model and heuristics, and we propose several variants. The experimental results demonstrate that our method effectively optimizes the application of collaborative robots in multi-manned assembly lines, outperforming the classical method presented in the literature.
多人装配线在现代制造业中发挥着至关重要的作用,能够有效地管理复杂的装配任务并提高生产率,特别是对于大型产品。本文研究了人机协作在多人装配线中的集成,解决了工人和机器人可以灵活选择并行执行任务或协同执行相同任务的协作模式。这种集成旨在提高装配资源的利用效率。针对这一问题,我们提出了一个混合整数规划模型,以最小化工人数量为主要目标,最小化工位数量为次要目标。此外,我们建立了问题的下界。为了有效地解决中大规模实例,我们基于数学模型和启发式方法开发了一种数学算法(MA),并提出了几种变体。实验结果表明,该方法有效地优化了协作机器人在多人装配线中的应用,优于文献中提出的经典方法。
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引用次数: 0
Linear formulations and a hybrid large neighborhood search algorithm for the tool indexing problem 求解工具标引问题的线性公式及混合大邻域搜索算法
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-27 DOI: 10.1016/j.cor.2025.107321
Soumen Atta
In this article, one of the most commonly encountered problems in manufacturing systems, known as the Tool Indexing Problem (TIP), is considered. TIP involves allocating cutting tools to different slots in a tool magazine of a Computer Numerically Controlled (CNC) machine to reduce the processing time of jobs on the machine. In this article, three mixed-integer linear programming formulations of single-objective TIP without tool duplication and lifespan are presented. A comparative study of these three linear formulations of TIP is also included in this article. During the study, it was found that the exact solver CPLEX with these linear formulations struggles to find optimal solutions in a reasonable time for larger instances. Therefore, a Hybrid Large Neighborhood Search with Local Search (HLNS-LS) algorithm, which is a metaheuristic approach, is proposed for solving TIP. The LNS phase iteratively destroys and repairs solutions to explore different regions of the solution space, while the LS phase intensifies the search by applying multiple neighborhood operators, such as swap, insert, shift, and customized 2-Opt and 3-Opt, to refine solutions further. This hybrid approach balances diversification and intensification, aiming to find high-quality solutions that minimize the total turret rotation cost associated with tool indexing. The performance of the proposed HLNS-LS algorithm is evaluated against an improved Harmony Search algorithm, a Weighted Superposition Attraction-based algorithm, and a Constraint Programming model across 85 small-, medium-, and large-sized benchmark instances from the existing TIP literature.
在本文中,考虑了制造系统中最常遇到的问题之一,即工具索引问题(TIP)。TIP是指将刀具分配到数控机床刀具库的不同槽中,以减少机床上作业的加工时间。本文给出了无刀具重复和寿命的单目标TIP的三个混合整数线性规划公式。本文还对TIP的这三种线性公式进行了比较研究。在研究过程中发现,对于较大的实例,使用这些线性公式的精确求解器CPLEX很难在合理的时间内找到最优解。为此,提出了一种基于元启发式的混合大邻域搜索与局部搜索(HLNS-LS)算法来求解TIP。LNS阶段通过迭代破坏和修复解决方案来探索解决方案空间的不同区域,而LS阶段通过使用多个邻域算子(如swap、insert、shift以及定制的2-Opt和3-Opt)来强化搜索,进一步优化解决方案。这种混合方法平衡了多样化和集约化,旨在找到高质量的解决方案,最大限度地减少与工具索引相关的炮塔旋转总成本。通过现有TIP文献中的85个小型、中型和大型基准实例,对改进的Harmony Search算法、基于加权叠加吸引的算法和约束规划模型进行了性能评估。
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引用次数: 0
A unified gradient projection algorithm for solving both discrete and continuous multiclass bi-criteria traffic assignment problems 离散和连续多类双准则交通分配问题的统一梯度投影算法
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-27 DOI: 10.1016/j.cor.2025.107320
Zhengyang Li , Zhandong Xu , Guoyuan Li , Anthony Chen
The multiclass bi-criteria traffic assignment (MBTA) problem considers travelers’ bi-criteria (time and toll) route choice behaviors and user heterogeneity. The MBTA models can be classified as discrete or continuous based on whether the value of time (VOT) is modeled as a discrete or continuous variable. While both models have been suggested in the literature, their connections and differences remain underexplored. This study compares the discrete MBTA (DMBTA) and continuous MBTA (CMBTA) models and proposes a unified path-based gradient projection (GP) algorithm framework to solve both models. In the unified framework, three modules, including column generation, decomposition and equilibration, and convergence criteria, are customized for discrete and continuous models, respectively. With appropriate algorithmic designs, both problems can be solved effectively by the path-based GP algorithm. Extensive numerical experiments show that the equilibrium flow of the DMBTA model will fluctuate when the number of classes is small, and it will converge to the equilibrium flow of the CMBTA model with the increase in the number of classes. Additionally, in all test networks, the CMBTA model requires CPU time comparable to the DMBTA model with five classes and maintains a working path set smaller than that of the DMBTA model with three classes, demonstrating that the CMBTA model can achieve a refined solution with modest computational time and memory requirements.
多类别双标准交通分配(MBTA)问题考虑了出行者的双标准(时间和收费)路线选择行为和用户异质性。根据时间值(VOT)建模为离散变量还是连续变量,MBTA模型可以分为离散或连续两类。虽然这两种模式都在文献中提出,但它们的联系和差异仍未得到充分探讨。本文比较了离散MBTA (DMBTA)和连续MBTA (CMBTA)模型,提出了一种统一的基于路径的梯度投影(GP)算法框架来求解这两种模型。在统一的框架中,分别为离散模型和连续模型定制了列生成、分解与平衡、收敛准则三个模块。通过适当的算法设计,基于路径的GP算法可以有效地解决这两个问题。大量的数值实验表明,DMBTA模型在类数较少时的平衡流量会出现波动,随着类数的增加会收敛到CMBTA模型的平衡流量。此外,在所有测试网络中,CMBTA模型所需的CPU时间与具有五个类的DMBTA模型相当,并且保持的工作路径集小于具有三个类的DMBTA模型,这表明CMBTA模型可以在适度的计算时间和内存需求下实现精细化的解决方案。
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引用次数: 0
Improved Benders decomposition for home healthcare vehicle and drone routing problem in two-echelon supply chains 两级供应链中家用医疗车辆和无人机路径问题的改进Benders分解
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-21 DOI: 10.1016/j.cor.2025.107306
Behrouz Mohammadi-Kordkheili , Rashed Sahraeian , Yasel Costa
Home healthcare centers provide medical services to patients at home, where timely delivery of medications and medical equipment is challenged by heavy traffic, limited accessibility, and supply chain coordination. New technologies like drones can reduce these problems by enabling faster and more flexible deliveries, but their performance is affected by environmental and operational conditions. To address these concerns, this paper proposes a two-echelon supply chain encompassing the main issues related to home healthcare delivery problems. In the first echelon, centers receive medical items from suppliers. In the second, a vehicle and drone routing problem is used to deliver items through multiple paths with a deadline. Drones face limitations including electrical energy consumption, collision risk with power lines, payload capacity, and wind speed. Along different paths, traffic conditions influence vehicle speed, while wind speed affects drone flight. We also present an improved Benders decomposition (IMBD I and IMBD II), using a genetic algorithm (GA) to generate initial subproblem inputs. Valid inequalities for subtour elimination and opening home healthcare centers are implemented in the master problem. To evaluate the proposed methods, we designed 50 instances and compared them with classical Benders decomposition, classical GA, a hybrid GA and variable neighborhood search, and particle swarm optimization. The results indicate that IMBD II outperforms other methods in solution quality and CPU time. Finally, sensitivity analyses on a case study demonstrate the high performance of the model in making accurate decisions amid changes in deadlines, drone constraints, fuel capacity, and supplier closure.
家庭医疗保健中心为在家中的患者提供医疗服务,但由于交通繁忙、可达性有限和供应链协调问题,及时交付药物和医疗设备受到了挑战。像无人机这样的新技术可以通过实现更快、更灵活的交付来减少这些问题,但它们的性能受到环境和操作条件的影响。为了解决这些问题,本文提出了一个两级供应链,包括与家庭医疗保健提供问题相关的主要问题。在第一梯队,医疗中心从供应商那里接收医疗用品。在第二种情况下,车辆和无人机的路径问题被用来通过多个路径投递物品,并有一个截止日期。无人机面临的限制包括电能消耗、与电线的碰撞风险、有效载荷能力和风速。沿着不同的路径,交通状况影响车辆的速度,而风速影响无人机的飞行。我们还提出了改进的Benders分解(IMBD I和IMBD II),使用遗传算法(GA)生成初始子问题输入。在主问题中实现了子游消除和开设家庭保健中心的有效不等式。为了评估所提出的方法,我们设计了50个实例,并将它们与经典Benders分解、经典遗传算法、混合遗传算法和可变邻域搜索以及粒子群优化进行了比较。结果表明,IMBD II在解决方案质量和CPU时间方面优于其他方法。最后,对案例研究的敏感性分析表明,该模型在截止日期、无人机约束、燃料容量和供应商关闭等变化的情况下,能够做出准确的决策。
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引用次数: 0
Comparing and extending satisfiability solution methods for the resource-constrained project scheduling problem 资源受限项目调度问题的可满足性求解方法的比较与推广
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-20 DOI: 10.1016/j.cor.2025.107308
José Coelho , Mario Vanhoucke
This paper solves the resource-constrained project scheduling problem (RCPSP) with a satisfiability problem (SAT) solver. This paper builds further on various existing SAT models for this well-known project scheduling problem and extends them with two methods to satisfy the resource constraints. Specifically, we use the well-known minimal forbidden sets and compare them with the so-called covers that are traditionally used in SAT implementations. Moreover, we also implement an existing binary decision trees approach under various settings and extend the model with networks with adders, so far never used for solving the RCPSP, to guarantee that resource constraints are satisfied.
The algorithms are tested under different settings on a set of 13,413 project instances with diverse network and resource structures, and the experiments demonstrate that a combination of these approaches help in finding better solutions within a reasonable time. Moreover, 393 new lower bounds, 62 new upper bounds, and 290 optimally solved instances (including 18 from the PSPLIB) have been discovered, which, to the best of our knowledge, had not been found before. The strong performance of the new algorithm motivated additional experiments, and the preliminary results suggest several promising directions for future research.
利用可满足性问题求解器求解资源约束下的项目调度问题。针对这一众所周知的项目调度问题,本文在现有的各种SAT模型的基础上进一步建立,并扩展了两种满足资源约束的方法。具体来说,我们使用众所周知的最小禁止集,并将它们与传统上在SAT实现中使用的所谓覆盖进行比较。此外,我们还在各种设置下实现了现有的二叉决策树方法,并将模型扩展为带有加法器的网络,以保证满足资源约束,迄今为止从未用于求解RCPSP。在13413个具有不同网络和资源结构的项目实例上对这些算法进行了不同设置的测试,实验表明,这些方法的组合有助于在合理的时间内找到更好的解决方案。此外,还发现了393个新的下界,62个新的上界和290个最优解实例(其中18个来自PSPLIB),据我们所知,这些都是以前没有发现的。新算法的强大性能激发了进一步的实验,初步结果为未来的研究提出了几个有希望的方向。
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引用次数: 0
Modeling the process of responding to health emergencies: Main aspects and problems related to evaluating ambulance relocation strategies 对突发卫生事件响应过程的建模:与评估救护车搬迁策略相关的主要方面和问题
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-16 DOI: 10.1016/j.cor.2025.107307
Yulia Karpova, Fulgencia Villa, Eva Vallada
Ambulance relocation is a field of study focused on the repositioning of available ambulances in response to changing conditions to maintain or improve service levels. The scientific community has proposed numerous relocation strategies, often evaluated in environments that simulate the healthcare emergency response process. In order to properly model this process, it is essential to identify the relevant information. Despite efforts to improve realism, many approximations still hinder the accuracy of the results. This article analyzes the information about different ways of determining several aspects of the emergency response process. Furthermore, the importance of incorporating realistic aspects when modeling the emergency response process is shown and the instances generated for the case of Valencia (Spain) are offered based on these aspects.
救护车重新安置是一个研究领域,重点是重新安置现有的救护车,以应对不断变化的条件,以保持或提高服务水平。科学界提出了许多搬迁策略,通常在模拟医疗应急响应过程的环境中进行评估。为了正确地对这个过程建模,确定相关信息是必要的。尽管努力提高真实感,许多近似仍然阻碍了结果的准确性。本文分析了不同的信息确定方法在应急响应过程中的几个方面。此外,还说明了在对应急过程进行建模时纳入现实方面的重要性,并根据这些方面提供了为瓦伦西亚(西班牙)案例生成的实例。
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引用次数: 0
MIP-based local search for permutation flowshop scheduling with makespan objective 基于mip的最大时间目标置换流水调度的局部搜索
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-15 DOI: 10.1016/j.cor.2025.107309
Sebastian Cáceres-Gelvez , Thu Huong Dang , Adam N. Letchford
The permutation flowshop scheduling problem with makespan objective, or PFM for short, is a classic NP-hard scheduling problem. At present, the most promising heuristics for the PFM are based on variations of local search. This led us to consider five new neighbourhoods for the PFM. Each neighbourhood is of exponential size, but can be explored quite quickly by solving a small mixed-integer program. We propose a matheuristic framework that incorporates our proposed neighbourhoods to evaluate and compare their effectiveness. Extensive computational experiments show that integrating our best neighbourhood to the proposed matheuristic reduces the makespan by over 60% on average, compared to the variant without it, on both the classical Taillard benchmark instances and the more recent instances proposed by Vallada, Ruiz and Framinan.
带最大时间目标的置换流水车间调度问题是一个典型的NP-hard调度问题。目前,最有前途的启发式方法是基于局部搜索的变化。这让我们考虑了五个新的PFM社区。每个邻域都是指数大小,但可以通过解决一个小的混合整数程序来快速探索。我们提出了一个数学框架,将我们建议的社区纳入其中,以评估和比较它们的有效性。大量的计算实验表明,在经典的Taillard基准实例和最近由Vallada、Ruiz和Framinan提出的实例中,将我们的最佳邻域与所提出的数学方法相结合,与没有它的变体相比,平均减少了60%以上的完工时间。
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引用次数: 0
A goal-driven iterated local search approach based on the maximal-space for the circle bin-packing problem with rectangular items 一种基于极大空间的目标驱动迭代局部搜索方法用于矩形物品的圆形装箱问题
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-13 DOI: 10.1016/j.cor.2025.107301
Sunkanghong Wang , Runqin Wang , Hao Zhang , Fengshi Jing , Qiang Liu , Lijun Wei
This study explores a specific variant of the classic two-dimensional bin-packing problem, known as the Circle Bin-Packing Problem with Rectangular Items (CBPP-RI). This problem involves the orthogonal packing of rectangular items into the fewest possible circular bins and has significant practical implications. We propose a novel and efficient Goal-Driven Iterated Local Search (GDILS) approach for solving CBPP-RI, which integrates a customized method that effectively addresses cold starts and prevents entrapment in local optima. To avoid unnecessary searches, we use lower bounds, which are improved by accounting for the inevitable waste produced by rectangular items at the edges of circular bins. To achieve good performance in single-bin packing, we propose a maximal-space-based heuristic, which introduces the widely used concept of maximal-space from other rectangle packing problems. The experimental results demonstrate that GDILS performs well and show that our method is not only applicable to CBPP-RI but also effective for other related packing problems. To establish a valid benchmark for future research, we also generate a new dataset for CBPP-RI and conduct extensive experiments.
本研究探讨了经典二维装箱问题的一个特定变体,即矩形物品的圆形装箱问题(CBPP-RI)。这个问题涉及到将矩形物品正交包装到尽可能少的圆形箱子中,具有重要的实际意义。我们提出了一种新颖高效的目标驱动迭代局部搜索(GDILS)方法来解决CBPP-RI,该方法集成了一种有效解决冷启动和防止陷入局部最优的定制方法。为了避免不必要的搜索,我们使用了下界,通过考虑圆形垃圾箱边缘的矩形物品产生的不可避免的浪费,改进了下界。为了在单箱包装中获得良好的性能,我们提出了一种基于最大空间的启发式方法,该方法从其他矩形包装问题中引入了广泛使用的最大空间概念。实验结果表明,GDILS具有良好的性能,表明我们的方法不仅适用于CBPP-RI问题,也适用于其他相关的包装问题。为了为未来的研究建立一个有效的基准,我们还为CBPP-RI生成了一个新的数据集并进行了广泛的实验。
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引用次数: 0
Scheduling features selection enhanced dispatching decision for dynamic job shop scheduling: a knowledge and data-based approach 动态作业车间调度的调度特征选择增强调度决策:基于知识和数据的方法
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-11 DOI: 10.1016/j.cor.2025.107299
Lei Liu , Matthias Thürer , Shaohua He , Ting Qu , Lin Ma , Zhongfei Zhang
Production systems for customizable products are characterized by operational dynamics due to complicated job routings and machine failures, resulting in dynamic job shop scheduling problems. Dispatching rules are the most commonly used and effective solution approaches for dynamic job shop scheduling problems in practice, but individual rules can only provide short-sight solutions. Hence, adaptively choosing the right dispatching rule according to production system status of job shops is required. To improve the accuracy and robustness of data-driven dispatching rule decision, this paper first introduces a knowledge and data based dynamic job shop scheduling framework consisting of scheduling examples generation, knowledge-guided scheduling features selection and data-driven dispatching rule decision. Then a novel knowledge-guided estimation of distribution algorithm (KEDA) is proposed for the scheduling features selection to enhance the performance of the data-driven dispatching rule decision approaches, where KEDA adopts three types of knowledge-guided improvement strategies, namely mutual information guided population initialization, evolutionary fitness guided probability model update for offspring generation and feature selection ratio guided variable neighborhood search. Comprehensive experiments based on real-life job shop scenarios demonstrate the feasibility of the proposed approach framework and the superiority of KEDA over competitive algorithms for scheduling features selection problems.
由于复杂的作业路线和机器故障,可定制产品的生产系统具有运行动态性的特点,从而导致动态作业车间调度问题。调度规则是实践中动态作业车间调度问题最常用、最有效的求解方法,但单个的调度规则只能提供短期的解决方案。因此,需要根据作业车间的生产系统状态自适应地选择合适的调度规则。为了提高数据驱动调度规则决策的准确性和鲁棒性,本文首先引入了一种基于知识和数据的作业车间动态调度框架,包括调度示例生成、知识引导的调度特征选择和数据驱动的调度规则决策。为了提高数据驱动调度规则决策方法的性能,提出了一种新的知识引导分布估计算法(KEDA)用于调度特征选择,其中KEDA采用了互信息引导的种群初始化、进化适应度引导的后代生成概率模型更新和特征选择比引导的变量邻域搜索三种知识引导的改进策略。基于实际作业车间场景的综合实验证明了所提出的方法框架的可行性,以及KEDA在调度特征选择问题上优于竞争算法的优越性。
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引用次数: 0
Heuristics and deep reinforcement learning for the inventory problem with an all-or-nothing yield pattern and non-zero leadtimes 具有全有或全无产量模式和非零交货期的库存问题的启发式和深度强化学习
IF 4.3 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-11 DOI: 10.1016/j.cor.2025.107305
Yuting Yan , Frank (Youhua) Chen , Zhe Fu , Wenjie Bi
We consider the single-item, periodic-review inventory system with stochastic demand, an all-or-nothing random yield pattern, and non-zero leadtimes, where the unmet demand is backlogged. The firm’s objective is to find an optimal ordering policy to minimize its total expected discounted cost. As the optimal policy remains unknown, we first develop a new heuristic that takes advantage of the all-or-nothing yield pattern and then propose a deep reinforcement learning (DRL) algorithm based on a tailored neural network model. The proposed DRL algorithm combines the results of existing heuristics to improve performance and stabilize the training process. Moreover, the total cost to be computed is convex in the decision variable, which facilitates the search. Extensive numerical experiments show that our new solution methods outperform known heuristics and demonstrate near-optimal performance when leadtimes are relatively short and the minimal cost can be achieved numerically.
我们考虑具有随机需求、全有或全无随机产量模式和非零交货期的单项目、定期审查库存系统,其中未满足的需求是积压的。企业的目标是找到一个最优的订购策略,使其总预期折扣成本最小化。由于最优策略仍然未知,我们首先开发了一种新的启发式算法,利用全有或全无的屈服模式,然后提出了一种基于定制神经网络模型的深度强化学习(DRL)算法。提出的DRL算法结合了现有启发式算法的结果,提高了性能并稳定了训练过程。而且,要计算的总代价在决策变量中是凸的,便于搜索。大量的数值实验表明,我们的新解决方法优于已知的启发式方法,并且在交货时间相对较短且可以实现最小成本的情况下显示出接近最佳的性能。
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引用次数: 0
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Computers & Operations Research
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