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Robust coordinated path planning for unmanned aerial vehicles and unmanned surface vehicles in maritime monitoring with travel time uncertainty 航行时间不确定的海上监控无人机和无人水面飞行器鲁棒协调路径规划
IF 6.3 1区 工程技术 Q1 ECONOMICS Pub Date : 2025-09-01 Epub Date: 2025-07-29 DOI: 10.1016/j.trb.2025.103284
Qingying He , Wei Liu , Tian-Liang Liu , Qiong Tian
This study examines the routing and scheduling of an integrated system of unmanned aerial vehicles (UAVs) and unmanned surface vehicles (USVs) for maritime surveillance. The uncertainties in air and maritime conditions can cause delays in the movements of UAVs and USVs. We introduce a robust coordinated path planning approach for the UAV-USV system, optimizing operational efficiency while accounting for UAV/USV travel time unreliability. Specifically, we propose a novel robust compact formulation for the coordinated path planning problem using the budgeted uncertainty sets. To solve this complex problem, we decompose it into a master problem, i.e., a set partitioning problem, and a subproblem that deals with the robust resource-constrained elementary shortest paths. Furthermore, we propose a customized branch-and-price-and-cut solution algorithm to efficiently solve the robust path planning problem. Numerical studies illustrate that our approach can produce solutions that are significantly more robust than those that ignore uncertainty.
本研究探讨了用于海上监视的无人机(uav)和无人水面车辆(usv)集成系统的路由和调度。空中和海上条件的不确定性可能导致无人机和无人潜航器的行动延迟。提出了一种鲁棒的无人机-USV系统协调路径规划方法,在考虑无人机/USV飞行时间不可靠性的同时优化了操作效率。具体而言,我们提出了一种新的鲁棒紧凑公式,用于使用预算不确定性集的协调路径规划问题。为了解决这个复杂的问题,我们将其分解为一个主问题,即一个集合划分问题,和一个处理鲁棒资源约束的基本最短路径的子问题。此外,我们还提出了一种自定义的分支-价格-切割求解算法,以有效地解决鲁棒路径规划问题。数值研究表明,我们的方法可以产生比那些忽略不确定性的解决方案更健壮的解决方案。
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引用次数: 0
Order dispatching strategy and pricing scheme in ride-sourcing markets with consideration of service cancellation 考虑服务取消的约车市场订单调度策略及定价方案
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2025-09-01 Epub Date: 2025-06-24 DOI: 10.1016/j.trb.2025.103266
Jing-Peng Wang , Hai Wang , Peng Liu , Hai-Jun Huang
In a ride-sourcing system, dispatching order requests to available drivers entails a comprehensive consideration of factors such as pickup proximity, order rewards, driver rating, safety behavior, passenger preferences, real-time road conditions, and other relevant variables. Inefficient dispatch processes often result in service cancellation by either the customer or the driver. This paper represents a pioneering effort to examine order dispatching strategy and pricing scheme while taking service cancellation behaviors into account. By assuming the platform has limited knowledge of the valuation of service of each customer and the reservation earning rate of each driver, we develop a two-period model that captures the dynamic decision-making processes of multiple stakeholders (customers, drivers, and platform) and formulate the platform’s order-dispatching problem as a stochastic programming model. Within a greedy approximation framework, our analysis reveals the significant implications of pricing scheme for critical performance metrics while considering service cancellation. These include the matching probability (probability of customer-driver acceptance for platform’s match results), the platform’s rewards, and the effects on the platform’s order-dispatching decisions. Specifically, within the realm of linear pricing, the matching probability demonstrates a positive correlation with trip distance, and thereby establishes a consistent dispatching order compared with one that does not consider service cancellation. Conversely, with nonlinear pricing (whether sublinear or superlinear), extended trip distance is generally associated with a reduced matching probability when it exceeds a threshold; this results in prioritizing orders with intermediate trip distances in order-dispatching decisions. Moreover, numerical experiments support that an integration of sublinear, superlinear, and linear pricing is conducive to optimizing rewards across short-, intermediate, and long-distance trips. Finally, scenarios of unimodal distributions of customer’s valuation of service and driver’s reservation earning rate consistently yield the highest rewards, through sublinear, linear, and superlinear pricing schemes.
在叫车系统中,将订单请求发送给可用的司机需要综合考虑各种因素,如取车距离、订单奖励、司机评级、安全行为、乘客偏好、实时路况以及其他相关变量。效率低下的调度过程常常导致客户或司机取消服务。本文开创性地研究了考虑服务取消行为的订单调度策略和定价方案。通过假设平台对每个客户的服务估值和每个司机的预订收益率的了解有限,我们开发了一个两期模型,该模型捕捉了多个利益相关者(客户、司机和平台)的动态决策过程,并将平台的订单调度问题制定为随机规划模型。在贪婪近似框架内,我们的分析揭示了在考虑服务取消时,定价方案对关键性能指标的重要影响。其中包括匹配概率(客户驱动程序接受平台匹配结果的概率)、平台的奖励以及对平台订单调度决策的影响。具体而言,在线性定价领域内,匹配概率与行程距离呈正相关,从而与不考虑服务取消的调度顺序相比,建立了一致的调度顺序。相反,对于非线性定价(无论是亚线性还是超线性),当行程距离超过阈值时,行程距离的延长通常与匹配概率的降低有关;这导致在订单调度决策中优先考虑具有中间行程距离的订单。此外,数值实验支持亚线性、超线性和线性定价的整合有助于优化短途、中程和长途旅行的奖励。最后,通过次线性、线性和超线性定价方案,客户对服务的评价和司机预订收益率的单峰分布场景始终产生最高的奖励。
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引用次数: 0
A random utility maximisation model considering the information search process 考虑信息搜索过程的随机效用最大化模型
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2025-09-01 Epub Date: 2025-07-08 DOI: 10.1016/j.trb.2025.103264
Gabriel Nova , C. Angelo Guevara , Stephane Hess , Thomas O. Hancock
Discrete choice analysis aims to understand and predict decision-makers’ behaviour, a goal that is crucial across several disciplines, including transportation. This type of analysis has relied predominantly on static representations of preferences, principally through the Random Utility Maximisation (RUM) model, due to its ease of implementation, economic interpretability, and statistical formality. However, this model assumes that individuals possess complete information about all attributes of alternatives and that they can process and recall this information instantaneously, which may not align with actual human behaviour. In contrast, the Decision Field Theory (DFT) model from mathematical psychology explicitly incorporates the repeated scrutiny of attributes and recall effects within the decision-making process, which enables it to model attention weights, but lacks microeconomic interpretability and clear statistical parameter identification. This paper introduces the RUM-DFT model, which seeks to integrate strengths of both approaches. Through Monte Carlo simulations, the proposed model is shown to be able to: (i) recover parameters related to the deliberation process, (ii) replicate the dynamic behaviour of utilities during deliberation as observed in practice, (iii) maintain economic interpretability by estimating coefficients that can be used to calculate the marginal indirect utilities, and (iv) highlight the pitfalls of using a RUM model that disregards the true dynamics of data generation process. The SwissMetro case study is employed also to evaluate the RUM-DFT model using a real-world dataset, demonstrating the viability and superior goodness-of-fit of the proposed model.
离散选择分析旨在理解和预测决策者的行为,这一目标在包括交通运输在内的多个学科中都至关重要。这种类型的分析主要依赖于偏好的静态表示,主要是通过随机效用最大化(RUM)模型,因为它易于实现,经济可解释性和统计形式。然而,该模型假设个人拥有关于备选方案所有属性的完整信息,并且他们可以即时处理和回忆这些信息,这可能与实际的人类行为不一致。相比之下,数学心理学的决策场理论(DFT)模型明确地在决策过程中纳入了对属性和回忆效应的反复审查,这使得它能够模拟注意权重,但缺乏微观经济学的可解释性和明确的统计参数识别。本文介绍了RUM-DFT模型,该模型旨在整合两种方法的优势。通过蒙特卡罗模拟,所提出的模型被证明能够:(i)恢复与审议过程相关的参数,(ii)复制在实践中观察到的审议过程中公用事业的动态行为,(iii)通过估计可用于计算边际间接效用的系数来保持经济可解释性,以及(iv)强调使用忽略数据生成过程真实动态的RUM模型的陷阱。瑞士地铁案例研究也被用于使用真实世界数据集评估RUM-DFT模型,证明了所提出模型的可行性和优越的拟合优度。
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引用次数: 0
Modeling the curbside congestion effects of ride-hailing services for morning commute using bi-modal two-tandem bottlenecks 基于双模式双串联瓶颈的早晨通勤网约车服务的路边拥堵效应建模
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2025-09-01 Epub Date: 2025-06-29 DOI: 10.1016/j.trb.2025.103276
Yao Deng , Zhi-Chun Li , Sean Qian , Wei Ma
With the proliferation of ride-hailing services, curb space in urban areas has become highly congested due to the massive passenger pick-ups and drop-offs. Particularly during peak hours, the massive ride-hailing vehicles waiting to drop off obstruct curb spaces and even disrupt the flow of mainline traffic. However, there is a lack of an analytical model that formulates and mitigates the congestion effects of ride-hailing drop-offs in curb spaces. To address this issue, this paper proposes a novel bi-modal two-tandem bottleneck model to depict the commuting behaviors of private vehicles (PVs) and ride-hailing vehicles (RVs) during the morning peak in a linear city. In the model, the upstream bottleneck models the congestion on highways, and the downstream curbside bottlenecks depict the congestion caused by RV drop-offs in curb spaces, PV queue on main roads, and the spillover effects between them in the urban area. The proposed model can be solved in a closed form under eight different scenarios. A time-varying optimal congestion pricing scheme, combined curbside pricing and parking pricing, is proposed to achieve the social optimum. It is found that potential waste of road capacity could occur when there is a mismatch between the highway and curbside bottlenecks, and hence the optimal pricing should be determined in a coordinated manner. A real-world case from Hong Kong shows that the limited curb space and main road in the urban area could be the major congestion bottleneck. Expanding the capacity of the curb space or the main road in the urban area, rather than the highway bottleneck, can effectively reduce social costs. This paper highlights the critical role of curbside management and provides policy implications for the coordinated management of highways and curb spaces.
随着网约车服务的普及,由于大量的乘客上下车,城市的道路空间变得非常拥挤。特别是在高峰时段,等待下车的大量网约车堵塞了路边空间,甚至扰乱了干线交通的流动。然而,目前还缺乏一种分析模型来阐述和减轻叫车服务在路边停车造成的拥堵影响。为了解决这一问题,本文提出了一种新的双模式双串联瓶颈模型来描述线性城市早高峰私家车和网约车的通勤行为。在该模型中,上游瓶颈模型描述了高速公路上的拥堵情况,下游路边瓶颈描述了市区内由路边停放的RV、主干道上的PV排队引起的拥堵以及它们之间的溢出效应。该模型可以在八种不同的情况下以封闭形式求解。为了实现社会最优,提出了一种时变最优拥堵收费方案,即路边收费和停车收费相结合的最优拥堵收费方案。研究发现,当公路瓶颈与路边瓶颈不匹配时,会产生道路容量的潜在浪费,因此需要协调确定最优定价。香港的一个现实案例表明,市区有限的路缘空间和主要道路可能是主要的拥堵瓶颈。扩大市区路边空间或主干道的容量,而不是公路瓶颈,可以有效降低社会成本。本文强调了路边管理的关键作用,并为公路和路边空间的协调管理提供了政策启示。
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引用次数: 0
Moving average vs. exponential smoothing cost-updating filters for day-to-day dynamic assignment: fixed-point stability and bifurcation theoretical analysis 每日动态分配的移动平均与指数平滑成本更新滤波器:定点稳定性和分岔理论分析
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2025-09-01 Epub Date: 2025-06-20 DOI: 10.1016/j.trb.2025.103253
G.E. CANTARELLA , C. FIORI , P. VELONÀ
Deterministic process (DP) models for day-to-day dynamic assignment can be cast in the general two-equation assignment modelling approach, including the following:
- the arc cost updating recursive equation in the case of day-to-day dynamic assignment; instances are exponential smoothing (ES) or moving average (MA) filters;
- the arc flow updating recursive equation in the case of day-to-day dynamic assignment; instances are ES filters.
Even though ES filters for cost updating may well approximate MA filters, somebody in the scientific community argue against the underlying hypothesis of infinite memory for ES filters with respect to MA ones; numerical results support significant differences for small memory depths, say 2 or 3 days.
The main original contribution of this study is a formal fixed-point stability and bifurcation analysis of MA-ES DP models with memory depth 2, and a comparison with ES-ES DP. At this aim the Omega method 2.0, suitable for carrying out general fixed-point stability and bifurcation analysis has been developed and discussed. Extremely long proofs have not been included for brevity. This study focused on methodological aspects; thus, numerical examples were not included.
日常动态分配的确定性过程(DP)模型可以采用一般的双方程分配建模方法,包括:-日常动态分配情况下的电弧成本更新递归方程;例如指数平滑(ES)或移动平均(MA)滤波器;-在日常动态分配的情况下,弧流更新递归方程;实例是ES过滤器。尽管用于成本更新的ES滤波器可能很接近MA滤波器,但科学界有人反对ES滤波器相对于MA滤波器具有无限记忆的基本假设;数值结果支持小内存深度(例如2或3天)的显著差异。本研究的主要原创性贡献是对记忆深度为2的MA-ES DP模型进行了形式不动点稳定性和分岔分析,并与ES-ES DP进行了比较。为此,提出并讨论了适用于一般不动点稳定性和分岔分析的Omega方法2.0。为简洁起见,没有包括非常长的证明。这项研究侧重于方法方面;因此,不包括数值例子。
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引用次数: 0
End-to-end logistics in metropolitan areas: A stochastic dynamic order-assignment and dispatching problem 都市圈端到端物流:一个随机动态订单分配与调度问题
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2025-09-01 Epub Date: 2025-06-06 DOI: 10.1016/j.trb.2025.103249
M. Arya Zamal , Albert H. Schrotenboer , Tom Van Woensel
The growth of e-commerce requires efficient integration of first-mile pickup, middle-mile consolidation, and last-mile delivery. These so-called integrated end-to-end logistics operations are particularly visible in metropolitan areas where fast delivery services are in high demand. Inspired by real-world practices at our industry partner, this paper introduces the Stochastic Dynamic Order-Assignment and Dispatching Problem (SDOA-DP). It concerns stochastic and dynamic pickup-and-delivery orders arising at an end-to-end logistics delivery platform, for which the company, as a decision maker, needs to determine in real-time how to assign orders to middle-mile linehaul schedules and when to dispatch first- and last-mile two-echelon vehicle routes. We model the SDOA-DP as a Markov Decision Process and propose a novel solution approach based on a parameterized Cost Function Approximation (CFA) for order assignment in the middle mile and a parameterized Adaptive Large Neighborhood Search (ALNS) for vehicle dispatch and two-echelon routing in the first and last-mile. The CFA balances the cost of using linehauls with the time slack available for first- and last-mile planning while ensuring time windows are met. The parameterization in the ALNS ensures that we balance routing cost and delivery speed by limiting the frequency and timing of dispatching vehicle routes. We learn the best value of the parameterization using Bayesian optimization. Computational experiments show that our approach yields a 22% on-average improvement compared to a baseline policy. If we learn a single best parameterization for various system settings, we observe almost as good cost savings, showing that our approach is robust and reliable for practitioners. Finally, we applied our method to a case study of our industry partner and showed that our method could potentially reduce daily costs by 30.5% across various operational contexts.
电子商务的发展需要第一英里提货、中间英里整合和最后一英里配送的高效整合。这些所谓的一体化端到端物流业务在快速配送服务需求旺盛的大都市地区尤为明显。受我们的行业合作伙伴的实际实践启发,本文介绍了随机动态顺序分配和调度问题(SDOA-DP)。它涉及端到端物流配送平台上产生的随机动态取货订单,作为决策者的公司需要实时确定如何将订单分配到中间一英里的线路运输计划中,以及何时调度第一英里和最后一英里的两级车辆路线。我们将SDOA-DP建模为一个马尔可夫决策过程,并提出了一种新的解决方法,该方法基于参数化成本函数近似(CFA)用于中间英里的订单分配和参数化自适应大邻域搜索(ALNS)用于车辆调度和第一英里和最后一英里的两级路由。CFA平衡了使用线路的成本和第一英里和最后一英里计划的空闲时间,同时确保满足时间窗口。ALNS中的参数化通过限制调度车辆路线的频率和时间,保证了调度成本和配送速度的平衡。我们用贝叶斯优化来学习参数化的最佳值。计算实验表明,与基线策略相比,我们的方法产生了平均22%的改进。如果我们为不同的系统设置学习一个单一的最佳参数化,我们观察到几乎同样好的成本节约,表明我们的方法对于从业者来说是健壮和可靠的。最后,我们将我们的方法应用到我们的行业合作伙伴的案例研究中,并表明我们的方法可以在各种操作环境中潜在地减少30.5%的日常成本。
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引用次数: 0
Data-driven optimization for container ship bunkering management under fuel price uncertainty 燃油价格不确定条件下集装箱船加注管理数据驱动优化
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2025-08-01 Epub Date: 2025-06-04 DOI: 10.1016/j.trb.2025.103250
Xuecheng Tian , Shuaian Wang , Yan Liu , Ying Yang
Fuel prices are a crucial and volatile component of operational costs in maritime transportation. This paper optimizes container ship bunkering decisions under the uncertainty of multi-port fuel prices, using data-driven optimization frameworks that integrate machine learning and mathematical programming models. We address two primary challenges: (i) incorporating spatiotemporal correlations between multi-port fuel prices into predictive models, and (ii) determining the most effective data-driven modeling framework for this problem. To address the first challenge, we develop a two-channel long short-term memory model specifically designed to capture the spatiotemporal dependencies of multi-port fuel prices. For the second challenge, we construct two data-driven modeling frameworks for ship bunkering management: a two-stage contextual deterministic programming model with point predictions (TDP framework) and a multistage contextual stochastic programming model with distributional estimates (MSD framework). Through comprehensive computational experiments using both real-world and synthetic data, we obtain two crucial insights: (i) accounting for the spatiotemporal correlations among multi-port fuel prices significantly improves the accuracy of fuel price predictions; and (ii) the TDP framework is more suited to container shipping routes with fewer ports, while the MSD framework offers advantages in contexts with a higher number of ports.
燃料价格是海上运输业务成本中一个关键且不稳定的组成部分。本文利用数据驱动的优化框架,结合机器学习和数学规划模型,对多港燃油价格不确定性下的集装箱船加油决策进行了优化。我们解决了两个主要挑战:(i)将多港口燃料价格之间的时空相关性纳入预测模型,以及(ii)为该问题确定最有效的数据驱动建模框架。为了解决第一个挑战,我们开发了一个双通道长短期记忆模型,专门用于捕捉多港口燃料价格的时空依赖性。对于第二个挑战,我们构建了两个数据驱动的船舶加油管理建模框架:一个带点预测的两阶段上下文确定性规划模型(TDP框架)和一个带分布估计的多阶段上下文随机规划模型(MSD框架)。通过使用真实世界和合成数据的综合计算实验,我们获得了两个重要的见解:(i)考虑多港口燃料价格之间的时空相关性显著提高了燃料价格预测的准确性;以及(ii) TDP框架更适合港口较少的集装箱航线,而MSD框架在港口较多的情况下具有优势。
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引用次数: 0
The ridesharing routing problem with flexible pickup and drop-off points 具有灵活上下车点的拼车路线问题
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2025-08-01 Epub Date: 2025-05-25 DOI: 10.1016/j.trb.2025.103234
Zuhayer Mahtab , Shichun Hu , Maged Dessouky , Fernando Ordoñez
In major metropolitan areas, ride-sharing systems can help reduce traffic congestion and increase the transportation system’s efficiency. In this paper, we propose a Branch-and-Price based approach for solving the ride-share routing problem with flexible pickup and drop-off points. We assume a ride-sharing system where drivers have their own origins and destinations, where all the drivers’ and passengers’ information is known beforehand, and all the problem data information is static and deterministic. We assume that drivers can pick up or drop off passengers from or to flexible meeting points that are within a passenger’s walking time limit from their origin or destination and are determined on a continuous plane. We formulate a mixed integer nonlinear model for routing and selecting pickup and drop-off points. Our solution approach decomposes this problem in two: selecting pickup and drop-off points and a rideshare routing problem. We develop an efficient algorithm to select the best pickup and drop-off points and show computationally that it is more efficient at finding pickup and drop-off points than considering a fixed set of discrete meeting points. To evaluate the performance of our approach, we perform numerical experiments on a San Francisco Taxicab dataset. Results show that our approach is efficient, solving instances with up to 600 points within 31 CPU minutes. For these datasets, incorporating flexible pickup and drop-off points can reduce the total vehicle travel time of the rideshare system by 4% on average.
在大城市,拼车系统可以帮助减少交通拥堵,提高交通系统的效率。在本文中,我们提出了一种基于分支和价格的方法来解决具有灵活上下车点的拼车路线问题。我们假设在一个拼车系统中,司机有自己的出发地和目的地,所有司机和乘客的信息都是事先已知的,所有的问题数据信息都是静态的和确定性的。我们假设司机可以在灵活的集合点接送乘客,这些集合点在乘客从起点或目的地出发的步行时间限制内,并且确定在一个连续的平面上。我们建立了一个混合整数非线性模型,用于选择取货点和落货点。我们的解决方法将这个问题分解为两个:选择接送点和乘车路线问题。我们开发了一种有效的算法来选择最佳的接送点,并通过计算表明,它比考虑一组固定的离散会面点更有效地找到接送点。为了评估我们的方法的性能,我们在旧金山出租车数据集上进行了数值实验。结果表明,我们的方法是有效的,在31 CPU分钟内解决了多达600个点的实例。对于这些数据集,结合灵活的上下车点可以将拼车系统的总车辆行驶时间平均减少4%。
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引用次数: 0
Optimizing dual-fuel ship operations considering methane slip 考虑甲烷泄漏的双燃料船舶运行优化
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2025-08-01 Epub Date: 2025-05-24 DOI: 10.1016/j.trb.2025.103247
Yidan Shangguan, Xuecheng Tian, King-Wah Pang, Shuaian Wang
Liquefied natural gas (LNG) is increasingly viewed as a promising fuel for dual-fuel ships due to its cost-effectiveness, low emissions, and alignment with regulatory requirements. However, the high methane content of LNG, ranging from 85% to 95%, presents a significant challenge because of the phenomenon of methane slip whereby unburned methane escapes from the engine’s combustion chamber and other parts of the storage and transportation systems. Methane slip, which peaks at low ship speeds and decreases at higher speeds, can lead to substantial environmental pollution if it is not properly managed. This study rigorously examines the impact of sailing speed on methane slip rates and recognizes the complexities of fuel usage in dual-fuel ships. We develop a nonlinear mixed-integer programming model designed for container shipping companies that aims to optimize fleet composition, sailing speed, and fuel usage strategies. The objective of the model is to minimize total operational costs, including fuel expenses and taxes related to carbon emissions and methane slip. To address the computational challenges posed by the model’s nonlinearity, we propose a tailored solution method that uses sailing time as a proxy for speed, discretizing these times for effective implementation. The validity of this method is supported by theoretical guarantees and demonstrated through numerical experiments. Our computational results indicate that accounting for methane slip in the operational management of dual-fuel ships can help mitigate financial losses under certain conditions.
液化天然气(LNG)由于其成本效益、低排放和符合监管要求,越来越被视为双燃料船舶的一种有前途的燃料。然而,液化天然气的甲烷含量高达85%至95%,这给液化天然气带来了巨大的挑战,因为甲烷会从发动机的燃烧室和其他储存和运输系统中逸出未燃烧的甲烷。甲烷泄漏在航速低时达到峰值,航速高时减少,如果管理不当,可能导致严重的环境污染。本研究严格检查了航行速度对甲烷滑脱率的影响,并认识到双燃料船舶燃料使用的复杂性。我们为集装箱航运公司设计了一个非线性混合整数规划模型,旨在优化船队组成、航行速度和燃料使用策略。该模型的目标是最小化总运营成本,包括燃料费用和与碳排放和甲烷泄漏相关的税收。为了解决模型非线性带来的计算挑战,我们提出了一种定制的解决方案方法,该方法使用航行时间作为速度的代理,将这些时间离散化以有效实现。该方法的有效性得到了理论保证和数值实验的验证。计算结果表明,在一定条件下,在双燃料船舶运行管理中考虑甲烷漏失有助于减轻经济损失。
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引用次数: 0
Liner fleet deployment and slot allocation problem: A distributionally robust optimization model with joint chance constraints 班轮机队部署与舱位分配问题:一个具有联合机会约束的分布鲁棒优化模型
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2025-07-01 Epub Date: 2025-05-10 DOI: 10.1016/j.trb.2025.103236
Tao Zhang , Shuaian Wang , Xu Xin
In this paper, we address the classical liner fleet deployment and slot allocation joint optimization problem in the maritime field with uncertain container transportation demand. We relax the assumption in existing studies that the demand distribution function is known because container transportation demand is deeply affected by the world’s economic and political landscape. With the help of advances in distributionally robust optimization theory, we develop a two-stage data-driven robust chance-constrained model. This distribution-free model requires only limited historical demand data as input and jointly optimizes the class (i.e., capacity) and number of liners assigned on each route and the scheme for allocating containers on each leg to maximize the profit (container transportation revenue minus fleet operating costs, voyage costs, and capital costs) of the liner company. The joint chance constraint in the model requires that the transportation demand of the contract shipper be satisfied with a pre-determined probability. We then reformulate the model as a second-order cone programming and design a customized algorithm to explore the global optimal solution based on the outer approximation algorithm framework. This paper can serve as a baseline distribution-free model for solving liner fleet deployment and slot allocation joint optimization problems.
本文研究了在集装箱运输需求不确定的情况下,海运领域经典的班轮机队调配与舱位分配联合优化问题。由于集装箱运输需求受到世界经济和政治格局的深刻影响,我们放宽了现有研究中需求分布函数已知的假设。借助分布鲁棒优化理论的进展,我们建立了一个两阶段数据驱动的鲁棒机会约束模型。这种无配送模式只需要有限的历史需求数据作为输入,共同优化每条航线上分配的班轮等级(即运力)和班轮数量,以及每条航线上的集装箱分配方案,使班轮公司的利润(集装箱运输收入减去船队运营成本、航次成本和资金成本)最大化。模型中的联合机会约束要求合同托运人的运输需求以预先确定的概率得到满足。然后,我们将模型重新表述为二阶锥规划,并设计了一个定制算法来探索基于外部逼近算法框架的全局最优解。本文可作为解决班轮机队调配和舱位分配联合优化问题的基线无分布模型。
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引用次数: 0
期刊
Transportation Research Part B-Methodological
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