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Periodic Traveling Wave Solutions of a Single Population Model with Advection and Distributed Delay
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作者 GUO Zilin YU Tao TANG Xiaosong 《应用数学》 北大核心 2025年第4期988-995,共8页
In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave so... In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave solutions for this model under the influence of advection term and distributed delay.The obtained results indicate that weak kernel and strong kernel can both deduce the existence of periodic traveling wave solutions.Finally,we apply the main results in this paper to Logistic model and Nicholson’s blowflies model. 展开更多
关键词 Single population model Advection Distributed delay Periodic traveling wave solution
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Time Traveling Back to the Tang Dynasty
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作者 DENG DI 《China Today》 2025年第8期72-75,共4页
Visitors are flocking to China’s first immersive tourist area recreating everyday life as it appeared in the Tang Dynasty,to embrace the past and understand the importance of culture and tradition.
关键词 embrace past immersive tourist area TRADITION cultural importance Tang Dynasty everyday life time traveling
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Bioinspired Discrete Two-Stage Surrogate-Assisted Algorithm for Large-Scale Traveling Salesman Problem
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作者 Ai-Qing Tian Hong-Xia Lv +2 位作者 Xiao-Yang Wang Jeng-Shyang Pan Václav Snášel 《Journal of Bionic Engineering》 2025年第4期1926-1939,共14页
The Traveling Salesman Problem(TSP)is a well-known NP-Hard problem,particularly challenging for conventional solving methods due to the curse of dimensionality in high-dimensional instances.This paper proposes a novel... The Traveling Salesman Problem(TSP)is a well-known NP-Hard problem,particularly challenging for conventional solving methods due to the curse of dimensionality in high-dimensional instances.This paper proposes a novel Double-stage Surrogate-assisted Pigeon-inspired Optimization algorithm(DOSA-PIO)to address this issue.DOSA-PIO integrates the ordering points to identify the clustering structure method for data clustering and employs a local surrogate model to assist the evolution of the Pigeon-inspired Optimization(PIO)algorithm.This combination enhances the algorithm’s ability to explore the solution space and converge to optimal solutions more effectively.Additionally,two novel approaches are introduced to extend the generalizability of continuous algorithms for solving discrete problems,enabling the adaptation of continuous optimization techniques to the discrete nature of TSP.Extensive experiments using benchmark functions and high-dimensional TSP instances demonstrate that DOSA-PIO significantly outperforms comparative algorithms in various dimensions(10D,20D,30D,50D,and 100D).The proposed algorithm provides superior solutions compared to traditional methods,highlighting its potential for solving high-dimensional TSPs.By leveraging advanced data clustering techniques and surrogate-assisted optimization,DOSA-PIO offers an effective solution for high-dimensional TSP instances,with experimental results confirming its superior performance and potential for practical applications in complex optimization problems. 展开更多
关键词 traveling salesman problems Pigeon-inspired optimization Surrogate-assisted evolutionary Swarm intelligence
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Combining deep reinforcement learning with heuristics to solve the traveling salesman problem
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作者 Li Hong Yu Liu +1 位作者 Mengqiao Xu Wenhui Deng 《Chinese Physics B》 2025年第1期96-106,共11页
Recent studies employing deep learning to solve the traveling salesman problem(TSP)have mainly focused on learning construction heuristics.Such methods can improve TSP solutions,but still depend on additional programs... Recent studies employing deep learning to solve the traveling salesman problem(TSP)have mainly focused on learning construction heuristics.Such methods can improve TSP solutions,but still depend on additional programs.However,methods that focus on learning improvement heuristics to iteratively refine solutions remain insufficient.Traditional improvement heuristics are guided by a manually designed search strategy and may only achieve limited improvements.This paper proposes a novel framework for learning improvement heuristics,which automatically discovers better improvement policies for heuristics to iteratively solve the TSP.Our framework first designs a new architecture based on a transformer model to make the policy network parameterized,which introduces an action-dropout layer to prevent action selection from overfitting.It then proposes a deep reinforcement learning approach integrating a simulated annealing mechanism(named RL-SA)to learn the pairwise selected policy,aiming to improve the 2-opt algorithm's performance.The RL-SA leverages the whale optimization algorithm to generate initial solutions for better sampling efficiency and uses the Gaussian perturbation strategy to tackle the sparse reward problem of reinforcement learning.The experiment results show that the proposed approach is significantly superior to the state-of-the-art learning-based methods,and further reduces the gap between learning-based methods and highly optimized solvers in the benchmark datasets.Moreover,our pre-trained model M can be applied to guide the SA algorithm(named M-SA(ours)),which performs better than existing deep models in small-,medium-,and large-scale TSPLIB datasets.Additionally,the M-SA(ours)achieves excellent generalization performance in a real-world dataset on global liner shipping routes,with the optimization percentages in distance reduction ranging from3.52%to 17.99%. 展开更多
关键词 traveling salesman problem deep reinforcement learning simulated annealing algorithm transformer model whale optimization algorithm
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A Non-Unit Protection Based on Propagation of Fault Traveling Wave for Transmission Line Connected to Wind Power Plant
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作者 Hao Wang Wenyue Zhou Yiping Luo 《Energy Engineering》 2025年第9期3737-3752,共16页
Currently,renewable energy has been broadly implemented across diverse sectors,particularly evidenced by its substantially higher integration levels in power systems.Thelarge-scale integration of renewable energy reso... Currently,renewable energy has been broadly implemented across diverse sectors,particularly evidenced by its substantially higher integration levels in power systems.Thelarge-scale integration of renewable energy resources introduces distinct fault characteristics into power grids,potentially rendering traditional line protection schemes inadequate for transmission lines interfacing with these sources.Therefore,it is imperative to study line protection methods unaffected by the integration of renewable energy resources.After analyzing the propagation process of the fault traveling wave along the transmission line,a non-unit protection based on traveling wave distancemeasurement is proposed.The core principle of the proposedmethod relies onmeasuring the temporal interval ΔT between detections of the first and second fault backward traveling waves at the measurement point.The Teager energy operator(TEO),which demonstrates advantages in highlighting stepmutation characteristics,was employed to extract ΔT by processing the fault backward traveling wave signal detected at the measurement point.To evaluate the efficacy of the proposed protection method,various fault scenarios were simulated in the established PSCAD/EMTDC simulation system.Validation results confirm that the proposed non-unit protection can provide full-line protection coverage,enabling fast and reliable discrimination of internal and external faults with inherent immunity to renewable energy penetration. 展开更多
关键词 Teager energy operator traveling wave protection for transmission line wind power
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New exact traveling wave solutions of the coupled Boussinesq equations
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作者 Mingyue Wang Youhe Zhou Jizeng Wang 《Theoretical & Applied Mechanics Letters》 2025年第2期108-114,共7页
The Boussinesq equations,pivotal in the analysis of water wave dynamics,effectively model weakly nonlinear and long wave approximations.This study utilizes the complete discriminant system within a polynomial approach... The Boussinesq equations,pivotal in the analysis of water wave dynamics,effectively model weakly nonlinear and long wave approximations.This study utilizes the complete discriminant system within a polynomial approach to derive exact traveling wave solutions for the coupled Boussinesq equation.The solutions are articulated through soliton,trigonometric,rational,and Jacobi elliptic functions.Notably,the introduction of Jacobi elliptic function solutions for this model marks a pioneering advancement.Contour plots of the solutions obtained by assigning values to various parameters are generated and subsequently analyzed.The methodology proposed in this study offers a systematic means to tackle nonlinear partial differential equations in mathematical physics,thereby enhancing comprehension of the physical attributes and dynamics of water waves. 展开更多
关键词 Coupled Boussinesq equations Exact traveling wave solutions Complete discriminant system Polynomial method
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GLOBAL STABILITY OF TRAVELING WAVES FOR SOME MULTIDIMENSIONAL SEMILINEAR HYPERBOLIC SYSTEMS
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作者 Dongbing ZHA Yue ZHAO 《Acta Mathematica Scientia》 2025年第4期1391-1404,共14页
For multidimensional first order semilinear hyperbolic systems of diagonal form without self-interaction,we show the global nonlinear stability of traveling wave solutions.
关键词 semilinear hyperbolic systems traveling wave global stability
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Nonlinear traveling wave vibration of rotating ferromagnetic functionally graded cylindrical shells under multi-physics fields
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作者 Feng LIAO Yuda HU +1 位作者 Tao YANG Xiaoman LIU 《Applied Mathematics and Mechanics(English Edition)》 2025年第10期1921-1938,I0025-I0036,共30页
The nonlinear traveling wave vibration of rotating ferromagnetic functionally graded(FG)cylindrical shells under multi-physics fields is investigated.Grounded in the Kirchhoff-Love thin shell theory,the geometric nonl... The nonlinear traveling wave vibration of rotating ferromagnetic functionally graded(FG)cylindrical shells under multi-physics fields is investigated.Grounded in the Kirchhoff-Love thin shell theory,the geometric nonlinearity is incorporated into the model,and the constitutive equations are derived.The physical parameters of functionally graded materials(FGMs),which exhibit continuous variation across the thickness gradient,are of particular interest.The nonlinear magneto-thermoelastic governing equations are derived in accord with Hamilton's principle.The nonlinear partial differential equations are discretized with the Galerkin method,and the analytical expression of traveling wave frequencies is derived with an approximate method.The accuracy of the proposed method is validated through the comparison with the results from the literature and numerical solutions.Finally,the visualization analyses are conducted to examine the effects of key parameters on the traveling wave frequencies.The results show that the factors including the power-law index,temperature,magnetic field intensity,and rotating speed have the coupling effects with respect to the nonlinear vibration behavior. 展开更多
关键词 ferromagnetic functionally graded(FG)cylindrical shell nonlinear traveling wave vibration multi-physics field approximate analytical method
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Symmetry of traveling wave solutions for a Camassa–Holm type equation with higher-order nonlinearity
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作者 Wenguang Cheng Ji Lin 《Communications in Theoretical Physics》 2025年第7期14-18,共5页
We are concerned with a Camassa-Holm type equation with higher-order nonlinearity including some integrable peakon models such as the Camassa-Holm equation,the Degasperis-Procesi equation,and the Novikov equation.We s... We are concerned with a Camassa-Holm type equation with higher-order nonlinearity including some integrable peakon models such as the Camassa-Holm equation,the Degasperis-Procesi equation,and the Novikov equation.We show that all the horizontal symmetric waves for this equation must be traveling waves.This extends the previous results for the Camassa-Holm and Novikov equations. 展开更多
关键词 Camassa-Holm type equation with higher-order nonlinearity traveling waves weak solutions
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Effect of traveling magnetic field on gas porosity during solidification 被引量:5
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作者 徐严谨 苏彦庆 +5 位作者 骆良顺 李新中 刘江平 郭景杰 陈瑞润 傅恒志 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2011年第9期1981-1985,共5页
The effects of traveling magnetic field on degassing of aluminum alloys were investigated, and the critical radius of the pores was calculated. The results show that the critical radius of the pores decreases with inc... The effects of traveling magnetic field on degassing of aluminum alloys were investigated, and the critical radius of the pores was calculated. The results show that the critical radius of the pores decreases with increasing the magnetic density linearly when the traveling magnetic field is applied during solidification, and the use of traveling magnetic field promotes the heterogeneous nucleation of pores. After the gas dissolved in the metal liquid accumulates to form large bubbles, the traveling magnetic field forces the bubbles to the surface of molten metal, so the gas is easy to separate from the melt in the liquid stage. The number of pores in the sample decreases with increasing the intensity of traveling magnetic field. 展开更多
关键词 electromagnetic force traveling magnetic field gas porosity aluminum alloy
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Effect of traveling magnetic field on dendrite growth of Pb-Sn alloy during directional solidification 被引量:4
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作者 闵志先 沈军 +1 位作者 王灵水 刘林 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2011年第9期1976-1980,共5页
The influence of melt convection on dendrite growth during the upward-directional solidification of Pb-33%Sn binary alloys was investigated.The melt convection was modulated by traveling magnetic field.When the direct... The influence of melt convection on dendrite growth during the upward-directional solidification of Pb-33%Sn binary alloys was investigated.The melt convection was modulated by traveling magnetic field.When the direction of traveling magnetic field was changed from upward to downward,the primary dendrite spacing gradually increased,and the distribution peak of the primary dendrite spacing shifted to the field of narrower spacing.These result from the different intensities of melt convection,which are controlled by the traveling magnetic field.The effects of the traveling magnetic field on melt convection are similar to those of adjustment in the gravity level,thus,the primary dendrite spacing varies.When the intensity of the traveling magnetic field was 1 mT,and the drawing speed was 50 μm/s,the gravity acceleration reached 0.22g for the downward-traveling magnetic field and 3.07g for the upward-traveling magnetic field. 展开更多
关键词 directional solidification MICROSTRUCTURE Pb-Sn alloy traveling magnetic field
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Mitigation of blackout problem for reentry vehicle in traveling magnetic field with induced current 被引量:1
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作者 Shaoshuai GUO Kai XIE +1 位作者 Bin SUN Shaowei LIU 《Plasma Science and Technology》 SCIE EI CAS CSCD 2020年第12期37-47,共11页
In this paper, a novel solution mitigating the radio blackout problem is proposed, which improves existing traveling magnetic field(TMF)-based methods. The most significant advance lies in replacing the external injec... In this paper, a novel solution mitigating the radio blackout problem is proposed, which improves existing traveling magnetic field(TMF)-based methods. The most significant advance lies in replacing the external injection with self-induced current, which does not require electrodes. The improved analytical model is derived to evaluate the electron density reduction taking into consideration the self-induced current for various TMF velocities. The plasma reduction performance is analyzed for several conditions including the total absence of injected current. The results show that the velocity may be used to trade off the injected current and, when sufficiently large, eliminates the need for an injected current while mitigating radio blackout. The effectiveness of this solution to the blackout problem is demonstrated in commonly used aerospace communication bands. With a field strength of less than 0.15 T, increasing the velocity from40 m s^-1 to 3100 m s^-1 is all that is required to obviate the need for an injected current. Moreover,typical reduction ratios for electronic density tolerance(2, 1.9, 1.75 and 3 times for the L-, S-, Cand X-bands, respectively, at an altitude of 40 km) remain unchanged. Increasing the velocity of the TMF is much easier than injecting current via a metal electrode into a high-temperature flow field. The TMF method appears practical in regard to possible future applications. 展开更多
关键词 BLACKOUT traveling magnetic field self-induced current traveling magnetic field velocity
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Rules Governing Pressure Distribution for a Traveling Charge Under the Condition of Lagrange Hypothesis
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作者 罗运军 谭惠民 陈福泰 《Journal of Beijing Institute of Technology》 EI CAS 1999年第2期43-49,共7页
Aim To study the rules governing pressure distribution of traveling charge under the condition of Lagrange hypothesis. Methods\ The study is based on the laws of conservation of momentum and energy. Results\ The gas ... Aim To study the rules governing pressure distribution of traveling charge under the condition of Lagrange hypothesis. Methods\ The study is based on the laws of conservation of momentum and energy. Results\ The gas flow velocity distribution formula at the back of a projectile and the momentum equation of a traveling charge are deduced, and rules governing their pressure distribution under the Lagrange hypothesis conditions are established. The pressure distribution of a traveling charge is compared with that of a conventional charge. Conclusion\ The pressure distribution in the bore of a traveling charge can be accurately predicted. A parabolic pressure distribution type is revealed. 展开更多
关键词 GUN traveling charge interior ballistics pressure distribution Lagrange hypothesis
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旅行理论还是理论旅行——traveling theory中文译名的思考 被引量:2
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作者 朱晓敏 《中国科技术语》 2011年第5期35-39,共5页
爱德华·萨义德①的"traveling theory"从元理论层面透视20世纪激进理论传播演变的空间途径和规律,其强大解释力和深邃的洞察力为学术界所追捧。当"traveling theory"到中国之后,中国的文化和智性生活从这种理... 爱德华·萨义德①的"traveling theory"从元理论层面透视20世纪激进理论传播演变的空间途径和规律,其强大解释力和深邃的洞察力为学术界所追捧。当"traveling theory"到中国之后,中国的文化和智性生活从这种理论流通中得到养分。然而,在如何为"traveling theory"找到一个合适的译名时,国内学术界产生了分歧。 展开更多
关键词 traveling THEORY 旅行理论 理论旅行
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Dynamical behavior of traveling wave solutions of ion acoustic plasma equations
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作者 李庶民 贺天兰 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第1期119-124,共6页
By using the theory of planar dynamical systems to the ion acoustic plasma equations, we obtain the existence of the solutions of the smooth and non-smooth solitary waves and the uncountably infinite smooth and non-sm... By using the theory of planar dynamical systems to the ion acoustic plasma equations, we obtain the existence of the solutions of the smooth and non-smooth solitary waves and the uncountably infinite smooth and non-smooth periodic waves. Under the given parametric conditions, we present the sufficient conditions to guarantee the existence of the above solutions. 展开更多
关键词 solitary traveling wave solution periodic traveling wave solution smoothness of waves ion acoustic plasma equations
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Growth interface of CdMnTe crystal by traveling heater method 被引量:1
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作者 吴文其 张继军 +5 位作者 王林军 闵嘉华 温旭亮 梁小燕 黄建 唐可 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第5期1433-1438,共6页
The growth interfaces of CdMnTe(CMT) crystals grown by traveling heater method(THM) were studied. Two types of polycrystalline CMT feed ingots synthesized in a traditional rocking furnace and vertical Bridgman(VB... The growth interfaces of CdMnTe(CMT) crystals grown by traveling heater method(THM) were studied. Two types of polycrystalline CMT feed ingots synthesized in a traditional rocking furnace and vertical Bridgman(VB) furnace were adopted in THM growth, and the effects of the polycrystalline feed on the growth interface were revealed. The morphology of the growth interface of CMT crystal(CMT2) grown from the feed by vertical Bridgman was smoother with lower curvature compared with that of CMT crystal(CMT1) from the feed by rocking furnace. The radial Mn composition and Te inclusion distribution of the CMT wafers were analyzed and correlated to the growth interface. The Mn segregation along the radial direction and Te inclusion density of CMT2 were lower than those of CMT1. The VB method synthesized polycrystalline feed could improve the growth interface morphology, which is beneficial for decreasing the Te inclusions and Mn segregation in CMT wafers. 展开更多
关键词 CDMNTE traveling heater method growth interface polycrystalline feed material
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A Way to Rootedness: Traveling in Tender Is the Night
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作者 王广 《海外英语》 2015年第6期196-197,共2页
Traveling is one major theme of Fitzgerald's novel Tender Is the Night. This fashionable activity for the 1920 s Americans is represented in the novel as ostensibly bearing different meanings to the main character... Traveling is one major theme of Fitzgerald's novel Tender Is the Night. This fashionable activity for the 1920 s Americans is represented in the novel as ostensibly bearing different meanings to the main characters, but a deeper look would reveal that it is unanimously resorted to as a weapon against the spiritual barrenness caused by the cult of business, and more importantly, as a way to the experience of rootedness. 展开更多
关键词 traveling rootedness SPIRITUAL barrenness CULT of business FITZGERALD TENDER Is the NIGHT
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Improved ant colony optimization algorithm for the traveling salesman problems 被引量:22
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作者 Rongwei Gan Qingshun Guo +1 位作者 Huiyou Chang Yang Yi 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第2期329-333,共5页
Ant colony optimization (ACO) is a new heuristic algo- rithm which has been proven a successful technique and applied to a number of combinatorial optimization problems. The traveling salesman problem (TSP) is amo... Ant colony optimization (ACO) is a new heuristic algo- rithm which has been proven a successful technique and applied to a number of combinatorial optimization problems. The traveling salesman problem (TSP) is among the most important combinato- rial problems. An ACO algorithm based on scout characteristic is proposed for solving the stagnation behavior and premature con- vergence problem of the basic ACO algorithm on TSP. The main idea is to partition artificial ants into two groups: scout ants and common ants. The common ants work according to the search manner of basic ant colony algorithm, but scout ants have some differences from common ants, they calculate each route's muta- tion probability of the current optimal solution using path evaluation model and search around the optimal solution according to the mutation probability. Simulation on TSP shows that the improved algorithm has high efficiency and robustness. 展开更多
关键词 ant colony optimization heuristic algorithm scout ants path evaluation model traveling salesman problem.
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Hybrid Optimization Algorithm Based on Wolf Pack Search and Local Search for Solving Traveling Salesman Problem 被引量:13
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作者 DONG Ruyi WANG Shengsheng +1 位作者 WANG Guangyao WANG Xinying 《Journal of Shanghai Jiaotong university(Science)》 EI 2019年第1期41-47,共7页
Traveling salesman problem(TSP) is one of the typical NP-hard problems, and it has been used in many engineering applications. However, the previous swarm intelligence(SI) based algorithms for TSP cannot coordinate wi... Traveling salesman problem(TSP) is one of the typical NP-hard problems, and it has been used in many engineering applications. However, the previous swarm intelligence(SI) based algorithms for TSP cannot coordinate with the exploration and exploitation abilities and are easily trapped into local optimum. In order to deal with this situation, a new hybrid optimization algorithm based on wolf pack search and local search(WPS-LS)is proposed for TSP. The new method firstly simulates the predatory process of wolf pack from the broad field to a specific place so that it allows for a search through all possible solution spaces and prevents wolf individuals from getting trapped into local optimum. Then, local search operation is used in the algorithm to improve the speed of solving and the accuracy of solution. The test of benchmarks selected from TSPLIB shows that the results obtained by this algorithm are better and closer to the theoretical optimal values with better robustness than those obtained by other methods. 展开更多
关键词 traveling SALESMAN problem(TSP) SWARM intelligence(SI) WOLF PACK search(WPS) combinatorial optimization
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Traveling wave effect on the seismic response of a steel arch bridge subjected to near fault ground motions 被引量:12
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作者 徐艳 George C Lee 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2007年第3期245-257,共13页
In the 1990s, several major earthquakes occurred throughout the world, with a common observation that near fault ground motion (NFGM) characteristics had a distinct impact on causing damage to civil engineering stru... In the 1990s, several major earthquakes occurred throughout the world, with a common observation that near fault ground motion (NFGM) characteristics had a distinct impact on causing damage to civil engineering structures that could not be predicted by using far field ground motions. Since then, seismic responses of structures under NFGMs have been extensively examined, with most of the studies focusing on structures with relatively short fundamental periods, where the traveling wave effect does not need to be considered. However, for long span bridges, especially arch bridges, the traveling wave (only time delay considered) effect may be very distinct and is therefore important. In this paper, the results from a case study on the seismic response of a steel arch bridge under selected NFGMs is presented by considering the traveling wave effect with variable apparent velocities. The effects of fling step and long period pulses of NFGMs on the seismic responses of the arch bridge are also discussed. 展开更多
关键词 traveling wave effect arch bridge near fault ground motion fling step long period pulses
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