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Equilibrium balking strategies in unobservable queues with multiple vacations and an optional service 具有多重休假和可选服务的不可观测队列中的均衡逡巡策略
Pub Date : 2024-04-05 DOI: 10.1051/ro/2024083
Dong-Yuh Yang, Yin-Ying Dai, Chia-Huang Wu
This paper examines equilibrium mixed strategies in unobservable Markovian queues featuring a second optional service with server vacations, where arriving customers may choose to join or balk the system. All customers arriving at the system receive the essential service, and some customers opt for the second service after the first service has been completed. Once all customers in the system have been served, the server takes the first of multiple vacations. If no customers are waiting upon from the vacation, then the server takes another vacation. In unobservable queues, arriving customers cannot know the queue length; however, the information pertaining to the server state may be available. By examining unobservable queues (fully unobservable and almost unobservable cases), it is possible to formulate an equilibrium joining strategy as well as the socially optimal probability of joining a fully unobservable queue. This paper also presents numerical examples illustrating how system parameters affect mixed equilibrium and socially optimal balking strategies.
本文研究了不可观测马尔可夫队列中的均衡混合策略,该队列的特点是在服务器空闲时提供第二项可选服务,到达的客户可以选择加入或放弃该系统。所有到达系统的顾客都会获得基本服务,一些顾客会在第一项服务完成后选择第二项服务。一旦系统中的所有客户都得到了服务,服务器就会进行多次休假中的第一次休假。如果没有客户等待休假,服务器就会再次休假。在不可观测队列中,到达的客户无法知道队列的长度,但可以获得与服务器状态有关的信息。通过研究不可观测队列(完全不可观测和几乎不可观测的情况),我们可以提出一种均衡加入策略,以及加入完全不可观测队列的社会最优概率。本文还列举了一些数字实例,说明系统参数如何影响混合均衡策略和社会最优逡巡策略。
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引用次数: 0
Joint impact of service efficiency and salvage value on the manufacturer's shared vehicle-type strategies 服务效率和残值对制造商共享车型战略的共同影响
Pub Date : 2024-04-05 DOI: 10.1051/ro/2024082
Jian Feng, Yujie Wang, Zhenfeng Liu
With the rapid development of the sharing economy, many traditional automobile manufacturers have been choosing to provide the car sharing service. Some manufacturers share GVs, while others introduce EVs in the sharing market. We develop a model that a monopoly manufacturer who simultaneously sells GVs and EVs and discuss which type of vehicles should the manufacturer launch in the sharing market considering the service efficiency and the salvage value. Our findings are that no matter which type of vehicles the manufacturer shares, EV sales remain the same, but GV sales are reduced. This means that the manufacturer's EV-sharing strategy always promotes EVs' adoption. It is found that when both the service efficiency ratio of EV to GV and the salvage value gap between them are low or high, the manufacturer launches EVs; otherwise, the manufacturer launches GVs. We also find that the equilibrium vehicle-type strategy can maximize the manufacturer's profit while being the most environmentally friendly only if the valuation of shared product is high. Through numerical analysis, we know that, although the manufacturer's GV-sharing strategy worsens the environment, it always improves the social welfare. Notably, the manufacturer's EV-sharing strategy is not always beneficial for the environment, especially if the service efficiency ratio is relatively high. Similarly, the manufacturer's EV sharing does not always improve the social welfare, especially if the service efficiency ratio is in the middle range. The findings not only contribute to guiding the manufacturer's vehicle-type strategies for car sharing, but also providing potential policy implications for the government's effort in promoting EVs' adoption.
随着共享经济的快速发展,许多传统汽车制造商纷纷选择提供汽车共享服务。一些制造商共享普通货车,而另一些制造商则在共享市场上引入电动车。我们建立了一个垄断制造商同时销售普通汽车和电动汽车的模型,并讨论了在考虑服务效率和残值的情况下,制造商应该在共享市场上推出哪种类型的汽车。我们的研究结果表明,无论制造商共享哪种类型的车辆,电动汽车的销量都保持不变,但普通汽车的销量却减少了。这说明,制造商的电动汽车共享战略总是能促进电动汽车的采用。我们发现,当电动汽车与普通汽车的服务效率比和残值差距都较低或较高时,制造商会推出电动汽车;反之,制造商会推出普通汽车。我们还发现,只有当共享产品的价值较高时,均衡车型策略才能使制造商的利润最大化,同时也是最环保的。通过数值分析,我们知道,尽管制造商的 GV 共享策略会恶化环境,但它总能改善社会福利。值得注意的是,制造商的电动车共享策略并不总是有利于环境,尤其是在服务效率相对较高的情况下。同样,制造商的电动汽车共享策略也不总是能改善社会福利,尤其是当服务效率比处于中等水平时。研究结果不仅有助于指导制造商的汽车共享车型策略,还为政府推广电动汽车的应用提供了潜在的政策启示。
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引用次数: 0
How does the power structure affect the acquisition price and inventory decisions in the reverse supply chain 权力结构如何影响逆向供应链中的收购价格和库存决策
Pub Date : 2024-04-04 DOI: 10.1051/ro/2024079
Hong Sun, Yan Li
With growing concerns about environmental sustainability, reverse supply chains play a crucial role in recycling, remanufacturing, and reducing waste. Investigating the power structure's impact on decisions related to acquisition prices and inventory management can provide insights into the integration of sustainable practices. This paper analyzes a reverse supply chain with a supplier and a remanufacturer, in which the supplier provides the remanufacturer with sorted used cores. We investigate the acquisition pricing and inventory decisions under different power structures (supplier-led Stackelberg model, remanufacturer-led Stackelberg model) through game theory analysis. We first establish the centralized model to explore optimal acquisition decisions and profit of the total system. Then we evaluate the acquisition quantity, wholesale prices, the profit of supplier and remanufacturer in the supplier-led model and in the remanufacturer-led model. Finally, the impact of power structure on the performance of supplier and remanufacturer are explored by numerical analysis, as well as the supply chain system. Our significant findings show that (i) the total profit of the supplier-led and remanufacturer-led reverse supply chain are less than the centralized model due to the double marginalization; (ii) the remanufacturer-led reverse supply chain is superior to the supplier-led model reverse supply chain; (iii) the selected grades in the supplier-led model is proved the same as that in the remanufacturer-led model, which could not been affected by the wholesale price; (iv) the greater the inventory risk (the uncertainty in demand), the greater the profit share for the remanufacturer (supplier) in the supplier-led (remanufacturer-led) model.
随着人们对环境可持续性的日益关注,逆向供应链在回收、再制造和减少浪费方面发挥着至关重要的作用。研究权力结构对收购价格和库存管理决策的影响,可以为整合可持续发展实践提供启示。本文分析了一个由供应商和再制造商组成的逆向供应链,在该供应链中,供应商向再制造商提供经过分类的废旧电芯。我们通过博弈论分析,研究了不同权力结构(供应商主导的斯塔克尔伯格模型、再制造商主导的斯塔克尔伯格模型)下的收购定价和库存决策。我们首先建立了集中模型,探讨整个系统的最优收购决策和利润。然后,我们对供应商主导模型和再制造商主导模型中的收购数量、批发价格、供应商和再制造商的利润进行了评估。最后,通过数值分析探讨了权力结构对供应商和再制造商以及供应链系统绩效的影响。我们的重要发现表明:(i) 由于双重边际化,供应商主导型和再制造商主导型逆向供应链的总利润低于集中型模式;(ii) 再制造商主导型逆向供应链优于供应商主导型逆向供应链;(iv) 在供应商主导(再制造者主导)模式中,库存风险(需求的不确定性)越大, 再制造者(供应商)的利润份额就越大。
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引用次数: 0
A case study of the impact of carbon emissions and inflation on nonlinear dense neutrosophic fuzzy inventory system of varying demand with delayed deterioration 碳排放和通货膨胀对延迟恶化的需求变化非线性密集中性模糊库存系统影响的案例研究
Pub Date : 2024-04-04 DOI: 10.1051/ro/2024078
Shilpi Pal, Avishek Chakraborty, Ghanashyam Mahapatra
In a comprehensive consensus, human should reduce the carbon emission on the way to reduce the adverse effect of global warming. Manufacturing firms contributes significant amount of carbon emissions in the environment. In many countries, regulatory authorities are taking actions to reduce emissions. Thus, in this paper we have analysed the effect of carbon emissionfor non-instantaneous deteriorating items having advertisement and price dependent demand. The paper also focused on the effect of inflation where shortages are partially backlogged and partially lost in sales. In this paper a new concept of non-linear triangular dense neutrosophic number with its basic properties are developed. Further the classifications of symmetry, asymmetry is introduced and thereafter De-neutrosophication technique has been applied for crispification. Since the effect of some parameters like carbon emissions, advertising, and inflation are uncertain so we have considered it in this new aforesaid form to grab the uncertain characters of the underlying parameters. The classification of the uncertain parameter based on the symmetric and asymmetric nature and linear-nonlinear nature of triangular dense neutrosophic number have been also investigated here. Additionally, the effect of the model is examined under different situations for both linear and non-linear triangular dense fuzzy, dense intuitionistic, dense neutrosophic. Finally, a numerical example is considered to illustrate the model and it is observed that the model is optimum when the parameters are considered in Asymmetric Convex Non-Linear number for shorter replenishment cycle. Also, comparative study has been done by performing sensitivity analysis through the case study and provides managerial insight into this outcome.
在全面共识中,人类应通过减少碳排放的方式来降低全球变暖的不利影响。制造业企业向环境排放了大量的碳。许多国家的监管机构都在采取行动减少排放。因此,本文分析了碳排放对具有广告和价格依赖需求的非瞬时变质物品的影响。本文还重点分析了通货膨胀对部分积压短缺和部分销售损失的影响。本文提出了非线性三角形密集中性数的新概念及其基本特性。此外,还介绍了对称性和非对称性的分类,并应用了去中性化技术进行干脆化处理。由于碳排放、广告和通货膨胀等参数的影响是不确定的,因此我们采用了上述新形式,以抓住基本参数的不确定性特征。我们还研究了基于三角形密集中性数的对称和非对称性质以及线性-非线性性质的不确定参数分类。此外,还研究了线性和非线性三角密集模糊数、密集直觉数、密集中性数在不同情况下的模型效果。最后,通过一个数值实例对模型进行了说明,结果表明,当以非对称凸非线性数考虑参数时,模型是最佳的,可以缩短补货周期。此外,还通过案例研究进行了敏感性分析,从而完成了比较研究,并为这一结果提供了管理见解。
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引用次数: 0
Optimizing substitution of two products' model for exponentially increasing demand under inflation and shortages 通货膨胀和短缺情况下需求指数增长的两种产品优化替代模型
Pub Date : 2024-04-04 DOI: 10.1051/ro/2024081
Gurudatt Rao Ambedkar, Chaman Singh, Biswajit Sarkar
This study addresses the limited attention given to product substitution in inventory models. Incorporating product substitution is crucial for determining reorder points, and safety stock, enabling businesses to optimize inventory levels, reduce costs, and maintain customer satisfaction. This study introduces an economic order quantity model tailored to an inflationary environment with shortages and one-way substitution between two deteriorating product types. Through comprehensive testing, this study evaluates the model under various substitution scenarios, including partial substitution. Findings highlight the significance of product substitution in inventory management, allowing businesses to optimize inventory levels, manage costs, and ensure customer satisfaction in dynamic environments with inflation and fluctuating product availability. This model provides the firm with the necessary information to determine the optimal ordering quantity of both products to optimize total benefit and enhance supply chain efficiency. The model demonstrates substantial cost advantages, with partial substitution resulting in an average cost reduction of approximately 9% compared to no substitution and about 45% compared to full substitution. Numerical experiments validate the applicability of the proposed model.
本研究解决了库存模型中对产品替代关注有限的问题。纳入产品替代对于确定再订货点和安全库存至关重要,可使企业优化库存水平、降低成本并保持客户满意度。本研究介绍了一个经济订货量模型,该模型是针对通货膨胀环境下的短缺和两种变质产品之间的单向替代而设计的。通过综合测试,本研究评估了该模型在各种替代情况下的效果,包括部分替代。研究结果凸显了产品替代在库存管理中的重要性,使企业能够在通货膨胀和产品供应波动的动态环境中优化库存水平、管理成本并确保客户满意度。该模型为企业提供了必要的信息,以确定两种产品的最佳订购量,从而优化总收益,提高供应链效率。该模型显示了巨大的成本优势,与不替代相比,部分替代平均降低成本约 9%,与完全替代相比,平均降低成本约 45%。数值实验验证了所提模型的适用性。
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引用次数: 0
Allocating the fixed cost as a complementary input in two-stage system: A DEA approach 在两阶段系统中分配作为补充投入的固定成本:DEA 方法
Pub Date : 2024-04-04 DOI: 10.1051/ro/2024080
Xi Jin, Feng Li, Qiwei Xie, Yongjun Li
The existing research on fixed cost allocation (FCA) in two-stage system data envelopment analysis (DEA) models typically regards the fixed cost as an additional input for each decision-making unit (DMU). However, these models overlook the prevalent real-world scenario where fixed costs act as complementary inputs in actual production processes. This study proposes a general two-stage network DEA model that incorporates the fixed cost as a complementary input to optimize the allocation scheme. First, we construct a functional relationship between the efficiency scores of DMUs and their allocated fixed costsusing a modified super-efficiency DEA model, which effectively classifies DMUs and solves infeasible solutions within the variable returns to scale (VRS) framework. Then, we propose a fair and unique allocation model based on fairness and efficiency maximization principles. Specifically, we allocate fixed costs based on the operational scale for inelastic DMUs while equitably increasing the efficiency scores for elastic DMUs. Finally, a numerical example and an empirical study on subsidy allocation among 30 provinces demonstrate the rationality and acceptability of our approach.
现有关于两阶段系统数据包络分析(DEA)模型中固定成本分配(FCA)的研究通常将固定成本视为每个决策单元(DMU)的额外投入。然而,这些模型忽略了现实世界中普遍存在的情况,即固定成本在实际生产过程中充当补充投入。本研究提出了一种通用的两阶段网络 DEA 模型,该模型将固定成本作为一种补充投入,以优化分配方案。首先,我们利用改进的超效率 DEA 模型构建了 DMU 的效率得分与其分配的固定成本之间的函数关系,从而有效地对 DMU 进行分类,并在可变规模收益(VRS)框架内解决不可行方案。然后,我们根据公平和效率最大化原则,提出了一种公平而独特的分配模式。具体来说,我们根据非弹性 DMU 的运营规模来分配固定成本,同时公平地提高弹性 DMU 的效率分数。最后,一个数字实例和对 30 个省份补贴分配的实证研究证明了我们方法的合理性和可接受性。
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引用次数: 0
Dynamics, regional heterogeneity and robustness of fiscal poverty alleviation efficiency in China: Dynamic network DEA and Bootstrap resampling methods 中国财政扶贫效率的动态性、区域异质性和稳健性:动态网络 DEA 和 Bootstrap 重采样方法
Pub Date : 2024-03-27 DOI: 10.1051/ro/2024077
Tiantian Ren, Helu Xiao, Shanping Wang, Zhongbao Zhou
This paper aims to tackle the issues of evaluating the dynamic performance of fiscal poverty alleviation in 22 Chinese provinces (regions) over 2016-2019. First, we open up the internal structure of the fiscal poverty alleviation system (FPAS) and clarify its input-output process as a two-stage series system consisting of the public investment process and poverty reduction process. On this basis, we construct dynamic network DEA models with and without carryover activities for measuring the period efficiency and overall efficiency of FPASs (i.e., FPAS efficiency) and the period efficiency and overall efficiency of evaluation indicators (i.e., indicator efficiency), and also prove the relationship between the two proposed models. Second, we combine the proposed dynamic network DEA models and Bootstrap resampling method to assess the robustness of FPAS efficiency for exploring the risk of returning to poverty for each FPAS. The results show that: (i) the carryover activities have some impact on the FPAS efficiency and indicator efficiency; (ii) the period efficiency shows an upward trend, and most of FPASs or evaluation indicators have been at high efficiency in the sample period, but there is still regional heterogeneity; (iii) there are some differences between the indicator efficiency and there are some inconsistencies between them and the FPAS efficiency; (iv) Bootstrap resampling results indicate that several FPASs have a great risk of returning to poverty.
本文旨在解决 2016-2019 年中国 22 个省(区)财政扶贫的动态绩效评价问题。首先,我们梳理了财政扶贫系统(FPAS)的内部结构,将其投入产出过程厘清为由公共投资过程和扶贫过程构成的两阶段序列系统。在此基础上,我们构建了有结转活动和无结转活动的动态网络 DEA 模型,用于衡量 FPAS 的期间效率和总体效率(即 FPAS 效率)以及评价指标的期间效率和总体效率(即指标效率),并证明了所提出的两个模型之间的关系。其次,我们结合所提出的动态网络 DEA 模型和 Bootstrap 重采样方法,评估 FPAS 效率的稳健性,以探究各 FPAS 的返贫风险。结果表明(i)结转活动对 FPAS 效率和指标效率有一定影响;(ii)期间效率呈上升趋势,大部分 FPAS 或评价指标在样本期间一直处于高效率状态,但仍存在区域异质性;(iii)指标效率之间存在一定差异,且与 FPAS 效率之间存在一定的不一致性;(iv)Bootstrap 重采样结果表明,多个 FPAS 存在较大的返贫风险。
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引用次数: 0
Demand forecast information sharing with manufacturer encroachment 与制造商共享需求预测信息
Pub Date : 2024-03-26 DOI: 10.1051/ro/2024075
fujun Hou, Yan Yan, Huimin Zhang
This study explores the interplay between the manufacturer’s encroachment strategy and the retailer’s information sharing strategy in a supply chain, wherein both the upstream manufacturer and downstream retailer possess private demand forecast information. The manufacturer has the option to establish a direct selling channel to encroach on the end market, and the retailer can decide whether to share private information with the manufacturer. We consider four scenarios and derive the corresponding equilibrium outcomes of firms. Theoretical research results show that when the manufacturer opts not to encroach, neither the manufacturer nor the retailer will voluntarily share their demand information. In contrast, if the manufacturer encroaches, they will reach an information sharing agreement under certain conditions. Once such an agreement is reached, the manufacturer can benefit more from encroachment. If information sharing is not achieved, the manufacturer encroaches only if his unit direct selling cost is lower than a certain threshold. In addition, fierce competition among channels encourages the manufacturer to encroach. Based on the abovementioned works, we conduct numerical studies to analyze the impact of forecast accuracy on the profits and information sharing value of the manufacturer, the retailer and the whole supply chain. These results offer valuable management insights for firms. For example, the improved forecast accuracy is beneficial to both firms. Moreover, as the channel substitution rate increases, not only the possibility of manufacturer encroachment increases, but both the manufacturer and the whole supply chain also get more profits from it.
在供应链中,上游制造商和下游零售商都拥有私人需求预测信息,本研究探讨了制造商蚕食战略和零售商信息共享战略之间的相互作用。制造商可以选择建立直销渠道来蚕食终端市场,而零售商则可以决定是否与制造商共享私人信息。我们考虑了四种情况,并推导出相应的企业均衡结果。理论研究结果表明,当制造商选择不蚕食市场时,制造商和零售商都不会自愿共享需求信息。相反,如果制造商侵占,他们会在一定条件下达成信息共享协议。一旦达成这种协议,制造商就能从侵占中获得更多利益。如果不能实现信息共享,制造商只有在其单位直销成本低于某一临界值时才会侵占。此外,渠道之间的激烈竞争也会鼓励制造商侵占。在上述研究的基础上,我们进行了数值研究,分析了预测准确性对制造商、零售商和整个供应链的利润和信息共享价值的影响。这些结果为企业提供了宝贵的管理启示。例如,预测准确度的提高对两家公司都有利。此外,随着渠道替代率的提高,不仅制造商蚕食的可能性增加,而且制造商和整个供应链也会从中获得更多利润。
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引用次数: 0
Two-echelon supply chain with production disruption and controllable deterioration considering carbon emission under Stackelberg game approach 堆栈博弈法下考虑碳排放的生产中断和可控恶化的双梯队供应链
Pub Date : 2024-03-26 DOI: 10.1051/ro/2024076
Flaguni Mahato, Gour Chandra Mahata
This paper considers a two-echelon supply chain consisting of a manufacturer and a retailer in which the manufacturer faces a random production disruption risk. The manufacturer replenishes the unproduced items to fulfil the retailer’s order from the secondary market at a higher price. To attract more customers, this paper considers a customer’s demand dependent on product selling price, stock level, and freshness level of the fresh items. Furthermore, this paper considers preservation technology investment (PTI) to mitigate the deterioration rate of the items and carbon tax regulation to curb down carbon emissions revealed from the supply chain activities. The Stackelberg game approach with a leader-follower relationship is used considering the manufacturer as a leader and the retailer as a follower. Several theorems are developed to illustrate the concavity of the profit function and to find out the optimal solutions in which the objective is to maximize the manufacturer’s total profit subject to the minimum total cost that the retailer is willing to incur. Several numerical examples are presented to illustrate the proposed models and the obtained results are compared for with and without carbon tax policy. Finally, sensitivity analysis with some key managerial insights is given to demonstrate the model. The results show that a product’s freshness level influences consumers’ decision to buy more, and that’s why the freshness level is an important competitive tool to increase sales as well as the supply chain’s total profit.
本文研究了一条由制造商和零售商组成的双梯队供应链,其中制造商面临随机生产中断风险。制造商以较高的价格从二级市场补充未生产的产品,以满足零售商的订单。为了吸引更多客户,本文认为客户需求取决于产品售价、库存水平和生鲜产品的新鲜程度。此外,本文还考虑了保鲜技术投资(PTI)以降低商品的变质率,以及碳税法规以抑制供应链活动中的碳排放。本文采用了领导者与追随者关系的 Stackelberg 博弈方法,将制造商视为领导者,将零售商视为追随者。本文提出了几个定理来说明利润函数的凹性,并找出最优解,其中的目标是在零售商愿意承担的总成本最小的前提下,使制造商的总利润最大化。我们列举了几个数值示例来说明所提出的模型,并对有碳税政策和无碳税政策的结果进行了比较。最后,对模型进行了敏感性分析,并提出了一些重要的管理见解。结果表明,产品的新鲜度会影响消费者购买更多产品的决定,因此新鲜度是提高销售额和供应链总利润的重要竞争手段。
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引用次数: 0
UAV Path Planning Techniques: A Survey 无人机路径规划技术:调查
Pub Date : 2024-03-26 DOI: 10.1051/ro/2024073
Soheila Ghambari, Mahmoud Golabi, Laetitia Jourdan, Julien Lepagnot, L. Idoumghar
Unmanned Aerial Vehicles (UAVs) are ideally suited for many real-world applications ranging from scientific to commercial, industrial, and military fields. Enhancing the efficiency of UAV-based missions through optimization techniques is of paramount significance. Unmanned Aerial Vehicles (UAVs) are ideally suited for many real-world applications ranging from scientific to commercial, industrial, and military fields. Enhancing the efficiency of UAV-based missions through optimization techniques is of paramount significance. In this regard, the path planning problem that refers to finding the best collision-free path between the start point and the destination by addressing temporal, physical, and geometric constraints is a key issue. In this paper, a review of recent path planning methods from different perspectives with a clear and comprehensive categorization is presented. This study provides a general taxonomy categorizing the existing works into classical approaches, soft-computing techniques, and hybrid methods. Here, a detailed analysis of the recent techniques as well as their advantages and limitations is offered. Additionally, it provides an overview of environment modeling methods, path structures, optimality criteria, completeness criteria, and current UAV simulators.
无人驾驶飞行器(UAV)非常适合现实世界中的许多应用,包括科学、商业、工业和军事领域。通过优化技术提高无人飞行器任务的效率至关重要。无人驾驶飞行器(UAV)非常适合现实世界中的许多应用,包括科学、商业、工业和军事领域。通过优化技术提高无人飞行器任务的效率具有极其重要的意义。在这方面,路径规划问题是一个关键问题,它是指通过解决时间、物理和几何约束条件,找到起点和目的地之间的最佳无碰撞路径。本文从不同角度综述了最新的路径规划方法,并进行了清晰而全面的分类。这项研究提供了一个通用分类法,将现有的工作分为经典方法、软计算技术和混合方法。本文详细分析了最新技术及其优势和局限性。此外,本研究还概述了环境建模方法、路径结构、最优性标准、完整性标准以及当前的无人飞行器模拟器。
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引用次数: 0
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