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The K $K$ -prize-collecting coverage problem by aligned disks 对齐磁盘的K$ K$奖收集覆盖率问题
IF 2.9 4区 管理学 Q2 MANAGEMENT Pub Date : 2025-01-19 DOI: 10.1111/itor.13608
Hao Zhang, Xiya Zheng, Zhonghao Liu, Xiaofei Liu
<p>In this paper, we study the <span></span><math> <semantics> <mi>K</mi> <annotation>$K$</annotation> </semantics></math>-prize-collecting coverage problem by using aligned disks. Suppose <span></span><math> <semantics> <mi>U</mi> <annotation>$U$</annotation> </semantics></math> is a set of users, <span></span><math> <semantics> <mi>L</mi> <annotation>$L$</annotation> </semantics></math> is a horizontal line on the plane, and <span></span><math> <semantics> <mi>S</mi> <annotation>$S$</annotation> </semantics></math> is a set of points on the line <span></span><math> <semantics> <mi>L</mi> <annotation>$L$</annotation> </semantics></math>, where each user corresponds to a coordinate point, with an associated profit and an uncovered penalty. The problem is to select a set <span></span><math> <semantics> <msup> <mi>D</mi> <mo>′</mo> </msup> <annotation>$mathcal {D}^{prime }$</annotation> </semantics></math> of disks whose centers are all in <span></span><math> <semantics> <mi>S</mi> <annotation>$S$</annotation> </semantics></math> such that the total profit of the users covered by <span></span><math> <semantics> <msup> <mi>D</mi> <mo>′</mo> </msup> <annotation>$mathcal {D}^{prime }$</annotation> </semantics></math> is at least <span></span><math> <semantics> <mi>K</mi> <annotation>$K$</annotation> </semantics></math>, and the objective value, which consists of the total cost of the disks in <span></span><math> <semantics> <msup> <mi>D</mi> <mo>′</mo> </msup> <annotation>$mathcal {D}^{prime }$</annotation> </semantics></math> plus the total penalty of the uncovered users in <span></span><math> <semantics> <mrow> <mi>U</mi> <mo>∖</mo> <mi>U</mi> <mo>(</mo> <msup> <mi>D</mi> <mo>′</mo> </msup> <mo>)</mo> </mrow> <annotation>$Usetminus U(mathcal {D}^{prime })$</annotation> </semantics></math>, is minimized, where the cost of disk <span></span><math> <semantics> <mi>D</mi> <annotation>$D$</annotation> </semantics></math> is <span></span><math> <semantics> <mrow>
在本文中,我们研究了使用对齐磁盘的K $K$ -奖收集覆盖问题。假设U $U$是一组用户,L $L$是平面上的一条水平线,S $S$是直线L $L$上的一组点,其中每个用户对应于一个坐标点,具有相关的利润和未覆盖的惩罚。问题是选择一个磁盘集D ' $mathcal {D}^{prime }$,其中心都在S $S$,使得D ' $mathcal {D}^{prime }$覆盖的用户的总利润至少为K$K$,目标值,它由D ' $mathcal {D}^{prime }$中磁盘的总成本加上U∈U (D ') $Usetminus U(mathcal {D}^{prime })$中未覆盖用户的总惩罚组成,是最小的,其中磁盘D $D$的成本为r (D) α $r(D)^{alpha }$,α≥1 $alpha ge 1$为衰减因子,r (D) $r(D)$为圆盘D半径$D$,K $K$是一个给定的利润界。我们首先证明了这个问题是np $NP$ -hard的,即使所有用户都位于L线上$L$, α = 1 $alpha =1$,每个用户的惩罚为0。提出了一种伪多项式时间算法。最后,我们给出了该问题的全多项式时间逼近格式。
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引用次数: 0
An optimization model for the energy management of the network of tanks in a drinking water distribution system 饮用水分配系统储罐网络能量管理的优化模型
IF 2.9 4区 管理学 Q2 MANAGEMENT Pub Date : 2025-01-06 DOI: 10.1111/itor.13607
Franklin Djeumou Fomeni, Montaz Ali, David Abert Fernández, Alba Cabrera-Codony, Hèctor Monclús

“L'eau c'est la vie” is a well-known French expression for “water is life,” which reflects the fact that water is undoubtedly the most vital resource in the world. The main mission for water utility companies is to convey and distribute water that is of acceptable quality to satisfy the demand of the population at any time of the day. In the recent years, achieving this mission has become very challenging for these companies. Indeed, on the one hand, the rapid growth of population and the expansion of urbanization have significantly increased the demand for water, while on the other hand, natural phenomenon, such as drought, as well as the impact of climate changes are making it almost impossible for water distribution companies to convey the right amount of water where and when it is needed. The presence of water storage tanks in a water distribution network is aimed at alleviating this pressure by storing water and distributing it later in response of the variability of the demand across the network. The management of the tanks of the network is done based on the assignment of three-level set points, which allows to meet the outflow demand of water from each tank, while maintaining the adequate flow rate through the network. The set points define the level at which the valves that enable inflow and outflow of water to the tank have to be switched on or off. However, operating the valves during different periods of the day to meet the water demand may yield extremely high operational cost because opening some of the valves will induce the running of pumps to maintain an adequate flow rate of water in the network. We present a network optimization model for managing the network of storage tanks in a drinking water distribution system while minimizing the total cost of electricity involved. Computational experiments have been conducted on up to three sets of distribution networks. The results show that our proposed optimization model can be used to reduce the operational cost of managing the network of storage tanks for a water distribution system by up to 38%, while still being able to maintain the right amount of water in the tanks.

“L’eau c’est la vie”是一句著名的法语表达,意思是“水就是生命”,这反映了水无疑是世界上最重要的资源。水务公司的主要任务是输送和分配质量可接受的水,以满足人们在一天中的任何时间的需求。近年来,实现这一使命对这些公司来说变得非常具有挑战性。事实上,一方面,人口的快速增长和城市化的扩大大大增加了对水的需求,而另一方面,自然现象,如干旱,以及气候变化的影响,使得供水公司几乎不可能在需要的时间和地点输送适量的水。供水网络中储水罐的存在旨在通过储水和稍后分配水来缓解这种压力,以响应整个网络的需求变化。网络水箱的管理是基于三个设定点的分配,这样可以满足每个水箱的出水需求,同时保持足够的流量通过网络。设定点定义了使水流入和流出到水箱的阀门必须打开或关闭的水位。然而,在一天中的不同时段操作阀门以满足用水需求可能会产生极高的操作成本,因为打开一些阀门将引起水泵的运行,以保持管网中足够的水流量。我们提出了一个网络优化模型,用于管理饮用水分配系统中的储罐网络,同时最小化所涉及的总电力成本。在三组配电网上进行了计算实验。结果表明,我们提出的优化模型可以在保持水箱适量的情况下,将配水系统储罐网络管理的运行成本降低38%。
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引用次数: 0
Will an electric vehicle manufacturer benefit from sharing services through price leadership strategy and improving the driving range? 电动汽车制造商能否通过价格领先战略和提高续驶里程,从共享服务中获益?
IF 2.9 4区 管理学 Q2 MANAGEMENT Pub Date : 2024-12-31 DOI: 10.1111/itor.13597
Ying Wang, Zhongwei Chen, Zhi-Ping Fan

We investigate the incentives of an electric vehicle manufacturer (EVM) to improve the driving range of electric vehicles (EVs) following the entry of a third-party business-to-consumer EV-sharing platform (sharing platform). Particularly, we examine the two parties’ price leadership strategy and evaluate two scenarios: the EVM is unable (i.e., the short-term scenario) and able (i.e., the long-term scenario) to improve the driving range. In the short-term scenario, the sharing platform (or EVM) should act as price leader if the hassle cost faced by the sharing platform is low (or high). Moreover, the EVM's profits are found to be lower in the short-term scenario (with sharing services), compared to the case without such services. In the long-term scenario, the EVM must always act as a price leader. Additionally, when faced with high hassle cost, a higher driving range should be established. Improving the driving range will increase the long-term profitability of the EVM.

我们研究了第三方企业对消费者电动汽车共享平台(共享平台)进入后,电动汽车制造商(EVM)提高电动汽车(ev)续驶里程的激励措施。特别地,我们考察了双方的价格领先策略,并评估了两种情况:EVM无法(即短期情况)和能够(即长期情况)改善行驶里程。在短期情况下,如果共享平台面临的麻烦成本低(或高),那么共享平台(或EVM)应该充当价格领导者。此外,与没有共享服务的情况相比,在短期情况下(有共享服务)EVM的利润更低。从长期来看,EVM必须始终扮演价格领导者的角色。此外,当面临较高的麻烦成本时,应建立较高的行驶里程。提高行驶里程将增加EVM的长期盈利能力。
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引用次数: 0
The latency location routing problem with split deliveries: mathematical formulation and metaheuristic algorithm 分割配送的延迟定位路由问题:数学公式与元启发式算法
IF 2.9 4区 管理学 Q2 MANAGEMENT Pub Date : 2024-12-30 DOI: 10.1111/itor.13606
Samuel Nucamendi-Guillén, José Emmanuel Gómez-Rocha, José-Fernando Camacho-Vallejo, Javier A. Moraga Pardo, Rosa G. González-Ramírez

Integrating location and routing into a unified decision-making framework offers a more comprehensive reflection of real-world scenarios where different facility layouts directly influence routing plans. Consequently, addressing the issue holistically becomes imperative, especially when considering service level metrics like customer waiting times. In this paper, we address the latency location routing problem with opening costs and split deliveries (LLRP-OCSD). This complex problem involves optimizing the design of a supply chain network by determining depot locations, assigning vehicles and demand nodes to these depots, and designing routes. This must be done while accommodating split deliveries and prioritizing minimizing waiting times for demand nodes. We formulate a mathematical model and propose an iterated local search (ILS) algorithm to solve the problem. To validate the performance of our approach, we adapted a set of benchmark instances previously used for LLRP-OC without considering split deliveries. Computational results demonstrate that the proposed model is able to optimally solve only 2 out of the 38 tested instances within a 2-hour timeframe. On the other hand, the proposed ILS algorithm is able to find good-quality solutions in significantly less computational time for the LLRP-OCSD. Extensive experimentation on larger instances (up to 200 nodes) yields consistent results within reasonable computational limits. In summary, our findings highlight how split deliveries enhance vehicle utilization, enabling the use of smaller vehicles and creating balanced routes with minimal increases in latency costs.

将位置和路线整合到统一的决策框架中,可以更全面地反映不同设施布局直接影响路线规划的现实场景。因此,从整体上解决这个问题变得势在必行,特别是在考虑服务水平指标(如客户等待时间)时。在本文中,我们解决了延迟位置路由问题与开放成本和分割交付(LLRP-OCSD)。这个复杂的问题包括通过确定仓库位置、为这些仓库分配车辆和需求节点以及设计路线来优化供应链网络的设计。这必须在适应分段交付和最小化需求节点等待时间的优先级时完成。我们建立了数学模型,并提出了一种迭代局部搜索(ILS)算法来解决这个问题。为了验证我们的方法的性能,我们采用了一组以前用于LLRP-OC的基准测试实例,而不考虑拆分交付。计算结果表明,该模型能在2小时内最优解出38个测试实例中的2个。另一方面,对于LLRP-OCSD,本文提出的ILS算法能够以更少的计算时间找到高质量的解。在更大的实例(多达200个节点)上进行大量实验,在合理的计算限制内得到一致的结果。总而言之,我们的研究结果强调了分次配送如何提高车辆利用率,使使用更小的车辆成为可能,并在最小的延迟成本增加的情况下创建平衡的路线。
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引用次数: 0
System dynamics and geometric compromise programming: assessing the impact of entrepreneurship wage subsidies on macroeconomic objectives 系统动力学与几何妥协规划:评估创业工资补贴对宏观经济目标的影响
IF 2.9 4区 管理学 Q2 MANAGEMENT Pub Date : 2024-12-29 DOI: 10.1111/itor.13601
Yusuf Ziya Govce (Gövce), Ozer (Özer) Uygun, Enes Furkan Erkan

Entrepreneurship plays a crucial role in economic development, and wage subsidies for new firms serve as a key instrument to promote it. This study integrates system dynamics with geometric compromise programming to assess the impact of entrepreneurship wage subsidies on four macroeconomic objectives: maximizing the number of new firms, employment, and tax revenue, while minimizing subsidy costs. It is the first study to combine these methodologies, enabling an analysis of the complex interactions between the labor market, the real sector, and government interventions. Key findings reveal that decision variables, such as subsidy parameters, impact utility objectives with a one-year lag. Increasing the number of benefit variables extends the optimal subsidy period while reducing the subsidy limit. Most study cases show similar effects for workers and tax revenue. The model developed in this study provides valuable decision support for policymakers, offering insights into the macro-level dynamics of a national entrepreneurial ecosystem.

创业在经济发展中起着至关重要的作用,对新公司的工资补贴是促进创业的关键手段。本研究将系统动力学与几何妥协规划相结合,以评估创业工资补贴对四个宏观经济目标的影响:最大化新公司数量、就业和税收,同时最小化补贴成本。这是第一个将这些方法结合起来的研究,能够分析劳动力市场、实体部门和政府干预之间复杂的相互作用。主要研究结果显示,决策变量(如补贴参数)对公用事业目标的影响滞后一年。增加利益变量数量可以延长最优补贴期限,同时降低补贴上限。大多数研究案例都显示出对工人和税收的类似影响。本研究建立的模型为决策者提供了有价值的决策支持,提供了对国家创业生态系统宏观动态的见解。
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引用次数: 0
Financing provision strategies for third-party logistics with consideration of supply chain resilience 考虑供应链弹性的第三方物流融资提供策略
IF 2.9 4区 管理学 Q2 MANAGEMENT Pub Date : 2024-12-27 DOI: 10.1111/itor.13602
Lu Liu, Wenhao Zhang, Liukai Wang, Yuying Sun

Third-party logistics (3PL) offers credit guarantee financing and direct financing to capital-constrained small and medium-sized enterprises (SMEs), leveraging their informational advantages. However, SMEs’ default risk due to demand fluctuations poses a challenge for 3PL in providing the appropriate financing mode. This research investigates the financing strategies offered by 3PL with resilience considerations. We scrutinize the financing preferences of 3PL, the manufacturer, and the capital-constrained retailer by comparing credit guarantee financing, 3PL direct financing, and trade credit. Furthermore, we analyze conflicts and coordination regarding equilibrium financing modes. Our findings reveal that 3PL's financing provision strategy depends on the manufacturer's cost and the retailer's initial capital. Besides, the financing equilibrium may be detrimental to supply chain members due to their inconsistencies in financing strategies. We propose a coordination mechanism to improve the overall profitability of supply network stakeholders. This study offers managerial insights for 3PL to provide financing modes while considering resilience rationally.

第三方物流利用自身的信息优势,为资金紧张的中小企业提供信用担保融资和直接融资。然而,中小企业由于需求波动带来的违约风险,给第三方物流提供合适的融资模式带来了挑战。本研究探讨了考虑弹性因素的第三方物流融资策略。通过比较信用担保融资、第三方物流直接融资和贸易信贷,我们仔细研究了第三方物流、制造商和资本受限的零售商的融资偏好。在此基础上,分析了均衡融资模式的冲突与协调。研究发现,第三方物流的融资供给策略取决于制造商的成本和零售商的初始资本。此外,由于供应链成员之间融资策略的不一致性,融资均衡可能会对供应链成员不利。我们提出了一个协调机制,以提高供应网络利益相关者的整体盈利能力。本研究为第三方物流在合理考虑弹性的前提下提供融资模式提供了管理启示。
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引用次数: 0
IFORS’ Operational Research Hall of Fame: Ailsa Land IFORS运筹学名人堂:艾尔萨·兰德
IF 3.1 4区 管理学 Q2 MANAGEMENT Pub Date : 2024-12-27 DOI: 10.1111/itor.13598
Jonathan Rosenhead, László Végh
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引用次数: 0
Mixed financing strategies for a supply chain with a financially distressed seller: combination of equity financing and debt financing 供应链与财务困境卖方的混合融资策略:股权融资与债务融资的结合
IF 2.9 4区 管理学 Q2 MANAGEMENT Pub Date : 2024-12-21 DOI: 10.1111/itor.13600
Qiang Yan, Chengfu Wang

This work discusses a supply chain composed of one third-party logistics (3PL) firm and one capital-constrained seller. To cover the seller's ordering and logistics costs, two distinct mixed financing schemes are considered to address the funding needs: (i) equity financing and bank credit financing (EBF) and (ii) equity financing and 3PL firm financing (ELF). We examine how the equity financing ratio influences equilibrium outcomes and derive the financing preference for each member. The results reveal that a large equity financing ratio prompts the seller to buy more. Interestingly, the seller's profit under EBF either monotonically decreases or exhibits a concave relationship with respect to the equity financing ratio. By contrast, the seller's profit under ELF is consistently concave with respect to the equity financing ratio. Additionally, a Pareto zone of the 3PL firm's interest rate exists in which a win–win situation can be achieved. The seller tends to opt for ELF when the sum of the unit transportation fee and ordering cost is high but the equity financing ratio is moderate. Comparatively, the 3PL firm is reluctant to offer financing when both the sum of the unit transportation fee and ordering cost, and the sum of the unit transportation cost and ordering cost are high, while the equity financing ratio is low. Finally, we investigate an endogenous equity financing ratio and further discuss the effect of the seller's initial working capital.

本文讨论了一个由第三方物流(3PL)公司和一个资本受限的卖方组成的供应链。为了支付卖方的订购和物流成本,考虑了两种不同的混合融资方案来解决资金需求:(i)股权融资和银行信贷融资(EBF)和(ii)股权融资和第三方物流公司融资(ELF)。我们研究了股权融资比例如何影响均衡结果,并推导出每个成员的融资偏好。结果表明,较大的股权融资比例会促使卖方购买更多的股票。有趣的是,卖方在EBF下的利润与股权融资比率呈单调下降或凹形关系。相比之下,卖方在ELF下的利润相对于股权融资比率始终是凹的。此外,第三方物流企业的利率存在一个帕累托区域,在该区域内可以实现双赢。当单位运费与订货成本之和较高,但股权融资比例适中时,卖方倾向于选择ELF。相比之下,当单位运输费用与订货成本之和和单位运输成本与订货成本之和较高,而股权融资比例较低时,第三方物流企业不愿提供融资。最后,我们研究了一个内生的股权融资比率,并进一步讨论了卖方初始营运资金的影响。
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引用次数: 0
Enhancing pharmaceutical cold supply chain: integrating medication synchronization and diverse delivery modes 加强药品冷供应链:整合药品同步和多种配送方式
IF 2.9 4区 管理学 Q2 MANAGEMENT Pub Date : 2024-12-18 DOI: 10.1111/itor.13589
Elise Potters, Behzad Mosalla Nezhad, Victor Johan Bernard, Erwin Hans, Amin Asadi

The significance of last-mile logistics in the healthcare supply chain is growing steadily, especially in pharmacies where the growing prevalence of medication delivery to patients' homes is remarkable. This paper proposes a novel mathematical model for the last-mile logistics of the pharmaceutical supply chain and optimizes a pharmacy's logistical financial outcome while considering medication synchronization, different delivery modes, and temperature requirements of medicines. We propose a mathematical formulation of the problem using mixed-integer linear programming evolved from the actual problem of an outpatient pharmacy of a Dutch hospital. We create a case study by gathering, preparing, processing, and analyzing the associated data. We find the optimal solution, using Python MIP package and the Gurobi solver, which indicates the number of order batches, the composition of these batches, and the number of staff related to the preparation of the order batches. Our results show that our optimal solution increases the pharmacy's logistical financial outcome by 34%. Moreover, we propose other model variations and perform extensive scenario analysis to provide managerial insights applicable to other pharmacies and distributors in the last step of cold supply chains. Based on our scenario analysis, we conclude that improving medication synchronization can significantly enhance the pharmacy's logistical financial outcome.

最后一英里物流在医疗保健供应链中的重要性正在稳步增长,特别是在药房,将药物送到患者家中的趋势日益普遍。本文提出了一种新型的药品供应链最后一公里物流数学模型,在考虑药品同步、不同配送方式和药品温度要求的情况下,对药店的物流财务结果进行了优化。本文从荷兰某医院门诊药房的实际问题出发,利用混合整数线性规划提出了该问题的数学公式。我们通过收集、准备、处理和分析相关数据来创建案例研究。我们使用Python MIP包和Gurobi求解器找到最优解,其中表示订单批次的数量,这些批次的组成以及与准备订单批次相关的人员数量。我们的结果表明,我们的最优解决方案使药房的物流财务结果提高了34%。此外,我们提出了其他模型的变化,并进行了广泛的场景分析,以提供适用于其他药店和分销商在冷供应链的最后一步的管理见解。基于我们的情景分析,我们得出结论,改善药物同步可以显著提高药房的物流财务结果。
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引用次数: 0
Iterated local search with two strategies in the acceptance criterion for the tree t $t$ -spanner problem 针对树t$ t$ -扳手问题,在可接受准则下采用两种策略进行迭代局部搜索
IF 2.9 4区 管理学 Q2 MANAGEMENT Pub Date : 2024-12-18 DOI: 10.1111/itor.13599
Manisha Israni, Shyam Sundar

The tree t$t$-spanner problem (Tr_t$Tr_t$-SP), for a given edge-weighted, undirected, and connected graph, is an NP$mathcal {NP}$-hard problem with practical applications that aims to find a spanning tree with minimum t$t$, called the stretch factor. Due to its computational intractability, metaheuristic techniques have attracted much attention in the literature for finding good solutions within an acceptable computational time. In this article, we make the first attempt to propose a single solution-based iterated local search (ILS) for the Tr_t$Tr_t$-SP. To ensure high search efficiency and efficacy, the proposed ILS framework relies on the perturbation strategy, a problem-specific local search, and the use of two strategies in the acceptance criterion of ILS. On a set of available 48 benchmark instances, experimental results indicate that the proposed ILS consistently outperforms the existing best-so-far approach, particularly with the increase in instance sizes. The results yield new improved values on 32 instances out of 48 instances. We investigate the effectiveness of using two strategies in the acceptance criterion of ILS. Moreover, a statistical analysis is conducted to demonstrate its significance.

对于给定的边加权无向连通图,树t$ t$ -扳手问题(tr _t$ Tr_t$ -SP),是一个具有实际应用的NP $数学{NP}$难题,旨在找到具有最小t$ t$的生成树,称为拉伸因子。由于其计算的复杂性,元启发式技术在可接受的计算时间内找到良好的解决方案,在文献中引起了广泛的关注。在本文中,我们首次尝试提出了一种基于单解的迭代局部搜索(ILS)方法来求解Tr _ T $Tr_t$ -SP。为了保证高搜索效率和有效性,本文提出的盲视搜索框架依赖于微扰策略、针对特定问题的局部搜索,并在盲视搜索的接受准则中使用两种策略。在一组可用的48个基准实例上,实验结果表明,所提出的ILS始终优于现有的迄今为止最好的方法,特别是随着实例大小的增加。结果在48个实例中的32个实例上产生新的改进值。我们研究了两种策略在ILS接受准则中的有效性。并通过统计分析证明了其显著性。
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引用次数: 0
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International Transactions in Operational Research
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