Potential Symmetries, One-Dimensional Optimal System and Invariant Solutions of the Coupled Burgers’ Equations

In this paper, we discuss one-dimensional optimal system and the invariant solutions of Coupled Burgers’ equations. By using Wu-differential characteristic set algorithm with the aid of Mathematica software, the classical symmetries of the Coupled Burgers’ equations are calculated, and the one-dimensional optimal system of Lie algebra is constructed. And we obtain the invariant solution of the Coupled Burgers’ equations corresponding to one element in one dimensional optimal system by using the invariant method. The results generalize the exact solutions of the Coupled Burgers’ equations.

Optimal dispatching method of traffic incident rescue resource for freeway network

An optimal resource dispatching method is proposed to solve the multiple-response problem under the conditions of potential incidents on freeway networks.Travel time of the response vehicle is selected instead of route distance as the weight to reflect the impact of traffic conditions on the decisions of rescue resources.According to the characteristics of different types of rescue vehicles the dispatching decision-making time is revised to show the heterogeneity among different rescue vehicle dispatching modes. The genetic algorithm is used to obtain the solutions to the rescue resources dispatching model. A case study shows that the proposed method can accurately reveal the impact of potential incidents on the costs of rescues according to the variations in the types and quantities of rescue resources and the optimal dispatching plan with respect to potential incidents can be obtained.The proposed method is applicable in real world scenarios.

The coalbed methane production potential method for optimization of wells location selection

A gas production potential method for optimization of gas wellsite locations selection is proposed in terms of the coalbed gas resources volume and the recoverability. The method uses the actual data about reservoirs in a coalbed gas field in central China to optimize wellsite locations in the studied area in combination with the dynamic data about actual production in the coalbed gas field, selects a favorable subarea for gas wells deployment. The method is established based on the basic properties of coal reservoirs, in combination with the coalbed thickness and the gas content to make an analysis of the gas storage potential of a coal reservoir, as well as resources volume and the permeability of a coal reservoir. This method can be popularized for optimization of wellsite locations in other methane gas development areas or blocks.

Cooperative Search of UAV Swarm Based on Ant Colony Optimization with Artificial Potential Field

An ant colony optimization with artificial potential field(ACOAPF)algorithm is proposed to solve the cooperative search mission planning problem of unmanned aerial vehicle(UAV)swarm.This algorithm adopts a distributed architecture where each UAV is considered as an ant and makes decision autonomously.At each decision step,the ants choose the next gird according to the state transition rule and update its own artificial potential field and pheromone map based on the current search results.Through iterations of this process,the cooperative search of UAV swarm for mission area is realized.The state transition rule is divided into two types.If the artificial potential force is larger than a threshold,the deterministic transition rule is adopted,otherwise a heuristic transition rule is used.The deterministic transition rule can ensure UAVs to avoid the threat or approach the target quickly.And the heuristics transition rule considering the pheromone and heuristic information ensures the continuous search of area with the goal of covering more unknown area and finding more targets.Finally,simulations are carried out to verify the effectiveness of the proposed ACOAPF algorithm for cooperative search mission of UAV swarm.

An Optimal Control Strategy for Multi-UAVs Target Tracking and Cooperative Competition

An optimal control strategy of winner-take-all(WTA)model is proposed for target tracking and cooperative competition of multi-UAVs(unmanned aerial vehicles).In this model,firstly,based on the artificial potential field method,the artificial potential field function is improved and the fuzzy control decision is designed to realize the trajectory tracking of dynamic targets.Secondly,according to the finite-time convergence high-order differentiator,a double closed-loop UAV speed tracking the controller is designed to realize the speed control and tracking of the target tracking trajectory.Numerical simulation results show that the designed speed tracking controller has the advantages of fast tracking,high precision,strong stability and avoiding chattering.Finally,a cooperative competition scheme of multiple UAVs based on WTA is designed to find the minimum control energy from multiple UAVs and realize the optimal control strategy.Theoretical analysis and numerical simulation results show that the model has the fast convergence,high control accuracy,strong stability and good robustness.

Dynamic collision avoidance for cooperative fixed-wing UAV swarm based on normalized artificial potential field optimization

Cooperative path planning is an important area in fixed-wing UAV swarm.However,avoiding multiple timevarying obstacles and avoiding local optimum are two challenges for existing approaches in a dynamic environment.Firstly,a normalized artificial potential field optimization is proposed by reconstructing a novel function with anisotropy in each dimension,which can make the flight speed of a fixed UAV swarm independent of the repulsive/attractive gain coefficient and avoid trapping into local optimization and local oscillation.Then,taking into account minimum velocity and turning angular velocity of fixed-wing UAV swarm,a strategy of decomposing target vector to avoid moving obstacles and pop-up threats is proposed.Finally,several simulations are carried out to illustrate superiority and effectiveness.

Mobile robot path planning method combined improved artificial potential field with optimization algorithm

To overcome the shortcomings of the traditional artificial potential field method in mobile robot path planning, an improved artificial potential field model （IAPFM） was established, then a new path planning method combining the IAPFM with optimization algorithm （trust region algorithm） is proposed. Attractive force between the robot and the target location, and repulsive force between the robot and the obstacles are both converted to the potential field intensity; and filled potential field is used to guide the robot to go out of the local minimum points ; on this basis, the effect of dynamic obstacles velocity and the robot＇s velocity is consid thers and the IAPFM is established, then both the expressions of the attractive potential field and the repulsive potential field are obtained. The trust region algorithm is used to search the minimum value of the sum of all the potential field inten- sities within the movement scope which the robot can arrive in a sampling period. Connecting of all the points which hare the minimum intensity in every sampling period constitutes the global optimization path. Experiment result shows that the method can meet the real-time requirement, and is able to execute the mobile robot path planning task effectively in the dynamic environment.

Unbiased Fuzzy Global Optimization of Morse Clusters with Short-Range Potential for N≤400

Global optimization of Morse clusters with shortrange potential is a great challenge.Here,we apply our recently developed unbiased fuzzy global optimization method to systematically study Morse clusters with the potential rangeρ=14 and the number of atoms N up to 400.All the putative global minima reported in the literature have been successfully reproduced with relatively high success ratios.Compared to the available results for N≤240 and several larger Morse clusters,new global minima(and local minima)with lower energies have been found out for N=164,175,188,193,194,197,239,246,260,318,and 389.Clusters with magic numbers are figured out through fitting the size-dependent global minimum energies.The cluster structures tend to be close-packed for short-range potential with large N.

Optimization of Finishing Process and Energy Savings in Denim Textile Facility

Denim is widely accepted among exported textile products due to its aesthetics, appearance, and fashion. Practitioners employed several physical or chemical treatments to improve denim qualities in denim finishing operations. So, several treatment processes, including enzymatic, bleaching, singeing, heat set, and ozone finish, are used, which made this processing more energy consumption and time-consuming. Therefore, it is significant to investigate how changing the chemicals and raw ingredients could improve the finishing process, which is environmentally and economically beneficial for sustainable production practices in the denim finishing process. This study’s research design comprises an experimental investigation in a denim plant in Bangladesh. Two different fabrics were chosen to analyze, determining the potential savings of finishing on the denim fabrics’ performance characteristics. By deducting singeing and heat-set processes, the researchers ran an experimental process by maintaining the same length of fabric. Then, the impacts of finishing process optimization on the mechanical, thermal, and comfort parameters of drape, stiffness, and tear strength were examined. The study’s findings demonstrated that this experiment increased productivity and reduced the finishing unit’s energy consumption without compromising the denim fabrics’ quality. This study significantly impacts environmental sustainability by preserving limited energy resources and manufacturing denim finishing processes.

Construction of Energy-Optimal Smooth Monophasic Defibrillation Pulse Waveforms Using Cardiomyocyte Membrane Model

The goal is to help create smooth energy-optimal monophasic pulse waveforms for defibrillation using the Luo-Rudy cardiomyocyte membrane computer model. The waveforms were described with the help of the piecewise linear function. Each line segment provides a transition from one present level of the transmembrane potential to the next with a minimal energy value. The duration of the last segment was defined as a minimum duration at which an action potential occurs. Monophasic waveforms of segments 3, 10 and 29 were built using different increments of the transmembrane potential. The pulse energy efficiency was evaluated according to their threshold energy ratios in mA2·ms/cm4. There was virtually no difference between the threshold energy ratios of the three waveforms constructed and those of the previously studied energy-optimal half- sine waveform: 241 - 242 and 243 mA2·ms/cm4. The pulse waveform constructed is characterized by a low rise and fall as the duration of the rise is ~1.5 times longer than that of the fall. Conclusion: Energy-optimal smooth monophasic pulse waveforms have the same threshold energy ratio as the optimal half-sine one which was studied before. The latter is equivalent to the first phase of biphasic quasisinusoidal Gurvich-Venin pulse which has been used in Russia since 1972. Thus, the use of the Luo-Rudy cardiomyocyte membrane model appears to offer no possibilities for a substantial increase in the energy efficiency (threshold energy ratio reduction) of the classical monophasic defibrillation pulse waveforms.

Potential for Optimism

THE annual sessions of China’s National People’s Congress,the top legislature,and the National Committee of the Chinese People’s Political Consultative Conference,the top political advisory body,held in Beijing in March left little doubt that their deliberations and resolutions will have global ramifications.

党组织引领基层智治的外化效应及其风险治理

党组织引领基层智治是加快推进基层治理体系和治理能力现代化的重要途径,亦是顺应信息时代发展潮流、以中国式现代化推进中华民族伟大复兴的必然趋势。在这一治理实践中,呈现出智治主体全时空在场化、智治行为全过程流动化、智治平台全链条共通化、智治服务全方位一体化的外化效应;但同时也表现出从“简化”到“减化”的技术依赖风险、从“赋能”到“负能”的技术异化风险和从“提质”到“提绩”的信息形式主义风险。当下,应当坚持以党的领导引领基层智治价值理性回归、以素质培育带动干群智治思维同步提升、以多维技术集成共建基层智治融通平台、以完善制度供给有效保障基层智治秩序,共同推进基层治理迈向智慧新时代。

考虑居民用户可调节潜力的负荷聚合商日前投标决策优化模型研究

负荷聚合商能够充分挖掘居民用户资源参与需求响应,深化居民用电可调节潜力量化分析对负荷精准调控与负荷聚合商模式智能推广具有重要作用。首先,基于居民用电负荷调控差异性,考虑居民典型用电电器综合满意度计量,构建居民柔性负荷可调节潜力分析模型;然后,考虑负荷聚合商参与市场交易的运营模式,构建基于非合作博弈理论的日前投标决策优化模型;最后,通过算例仿真验证模型的有效性及适用性。结果表明该模型能够兼顾调控潜力,有效支撑负荷聚合商最优投标决策,为负荷聚合商推广下统筹资源优化调控提供借鉴与参考。

优化:人工智能时代的文论问题

日常用语中的“优化”指采取一定措施使事物变得优异。作为计算科学和运筹学中的重要内容,优化是指在一定限制条件下,选取某种方案以获得“最优化”的目标。将优化引入文论,可以与美化相关联,彼此之间有同有异。生成式AI中,优化有模型训练、创意提示、调试迭代三种方式。文艺作品之所以能够被优化,与其作为物质基础的艺术媒介及其作品的“可修正性”有关。在优化的技术演进中,先后经历了手工加工时代的优化、机械复制时代的优化、数字创生时代的优化三个阶段。手工加工时代出现了诸如对“手稿”的“润色、修改”,对“乐器”的“调音”,对“原作”的“临摹、誊写甚至重写”,对“文物、遗迹”的“修复”等不同的“类优化”类型;机械复制时代出现了“参数优化”“剪辑优化”“表演优化”等类型;数字创生时代出现了以算法优化为核心的智能优化。将优化引入文论,需要警惕“最优化”的结果不是“奇异性”,而是“普通性”的算法悖论、数据和变量中的偏差不易被纠偏;相反,易强化成偏见的偏差悖论以及随机并不意味着不同,而只是相似,是风格的重复的生成悖论。

改进人工势场引导的双向扩展随机树路径规划算法

针对地面移动机器人在复杂环境之下要求规划路径实时性强、路线平滑度高、避障精确完备等需求,在快速扩展随机树算法(RRT)的基础之上,提出一种由改进人工势场法(APF)引导的双向扩展随机树算法(APF-Bi-RRT^(*))。首先,在每次迭代的过程之中两棵随机树同时分别从起始点和目标点进行扩展,以加快算法收敛速度;其次,在算法随机树生长方向上,引入目标偏置策略来优化随机子节点的选取,并在随机树和障碍物中加入人工势场分量,限制路径方向选择的随机性,改进算法克服引力和斥力过大导致陷入局部最优值或目标不可达的问题;最后,在形成锯齿型规划路径之上应用一种采样优化和关键节点平滑策略,进一步缩短和平滑原路径的总距离。对比实验结果证明,该算法既克服了传统随机树算法的节点盲目扩展的问题,又兼顾了生成路径的效率和平滑性,与目标偏置RRT算法相比,在规划路径长度上减少了9.7%左右,在运行时间上缩短了65.3%左右,在算法迭代次数上减少了78.2%左右。

改进势场蚁群算法优化路径自动规划

针对势场与蚁群联合的自主路径规划存在局部最优解、初始路径选择随机导致效率不高及环境适应性差等问题,提出了基于自适应域和参数自适应设置的改进算法。算法首先基于自适应域改进势场目标不可达问题,并过滤震荡点以平滑路径;其次,通过状态转移函数和信息素更新等相关参数的自适应设置,提高算法在收敛效率和搜索能力上的平衡性,进而提高对障碍环境的适应性。实验结果表明,所提算法能够有效避免局部最优、目标不可达和复杂环境的适应性问题,在路径长度和效率上优于实验采用的已有算法,从而验证了算法的有效性。

基于改进潜能模型的城市公园绿地可达性评价与优化布局研究——以重庆市江津区为例

城市公园绿地空间布局因城市的自然条件和社会经济条件不同而具有差异性.当前国内外研究多聚焦发达地区和大城市,而小城市和典型城市的公园绿地可达性研究鲜见,且在案例代表性和数据精度方面还有一定的局限性.选择西南山地类型的重庆市江津区中心城区为案例,以居民小区出入口与公园绿地出入口为研究主体,构建改进潜能模型和网络分析方法,揭示其空间特征和存在问题,参考位置分配模型与调研结果,得出优化布局方案并检验.结果表明,江津区中心城区城市公园绿地布局与服务水平空间差异明显.提出拟新建7个游园与5个社区公园,并将部分公园绿地进行合并扩建或新增出入口.

基于节能潜力的办公建筑外窗设计优化策略——以郑州市主城区为例

通过分析建筑设计环节与节能之间的关系,提出了基于节能潜力的办公建筑外窗设计优化策略。基于Grasshopper参数化平台,以郑州市主城区多层办公建筑为例构建典型模型,对外窗设计尺度参数、外窗设计性能参数、遮阳设计参数等3个层级和11个影响建筑能耗的设计参量进行能耗模拟和量化分析。结果表明:在3个层级中,外窗设计尺度参数的全年单位面积总能耗节能潜力最大;在11个设计参量中,窗墙比的全年单位面积总能耗和制冷能耗节能潜力最大,玻璃传热系数的全年单位面积采暖能耗节能潜力最大。因此,在设计郑州市主城区办公建筑的外窗时,建议优先考虑窗墙比,其次是窗口中心线和玻璃材质。

通电方式对稀土熔盐电解影响的数值模拟及分析

在稀土熔盐的电解过程中,不同的通电方式对槽内各物理场影响也不同,进而会对电解槽的电解效率产生一定的影响。本文以某企业8 kA稀土电解槽为原型,通过Comsol的热电耦合模块研究通电铜板单侧与多侧分布的通电方式及通电铜板的不同位置分布下的电解槽电解时内部各物理场的变化情况,通过对比电流密度、电势差、电解温度的大小寻找最合适的通电方式。结果表明:只考虑电解效率时,导电板四侧中位通电最优分布方式,此时电解槽内电流密度最大,电能损耗最低,电解效果最好。若考虑制造成本以及可操作性,导电板单侧中位分布是最优解,这种设计的电解槽电解效率较高,同时也留出较大操作空间。其余几种分布均存在弊端,需要进一步完善。该研究旨在为稀土电解槽的结构优化提供参考意见。

基于粒子群优化-人工势场的多AUV拦截技术研究

在复杂多变的水下环境中,针对港口等环境下的运动入侵目标的拦截问题,提出了一种新的多自主水下机器人(autonomous underwater vehicle,AUV)拦截算法——预测规划拦截法。首先,通过AUV和入侵目标的运动轨迹,依据拦截点思想快速简单地确定拦截位置,对三维环境下拦截点难以计算的问题采用粒子群优化算法选择最优拦截点,有效降低拦截距离。其次,利用人工势场法规划每个AUV在海流环境下的拦截路径。当目标物被环境中任意一个AUV拦截时,则认为拦截成功。仿真结果表明,在存在海流、障碍物的不同水下环境中,预测规划拦截法的拦截效率较传统的跟踪拦截法有较大的提升。