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linear programming method for buckling critical load of foundation piles in nonlinear foundation

INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS 2021年第4期13卷 353-368页

作者： Li, Weizhe Lou, Ping Cent South Univ Sch Civil Engn Dept Railway Engn Changsha 410012 Peoples R China

linear programming method is presented for calculation of the Buckling critical load of the pile in nonlinear soils. Matlab programming for buckling stability analysis of pile in nonlinear soils is self-provided. Cases analysis of buckling stability analysis for both test piles and model piles in nonlinear soils are done, and conclusions are derived as follows: (1);the key parameters lambda and V in the transient buckling stability equation has extremely remarkable linear relationship with each other;(2) the buckling critical load of the pile will decrease with the increase of horizontal load at the top of the pile;(3) critical buckling load value of the pile in nonlinear soils is much smaller than that of the pile by m-method, and it is advised that nonlinear effects of soils should be carefully considered in application for critical buckling analysis of pile in practice.

关键词： nonlinear soils critical buckling analysis transient buckling stability equation linear programming method critical buckling load nonlinear effects pile

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Path Optimization Design of Multimode Combined Transport Based on the linear programming method

Path Optimization Design of Multimode Combined Transport Bas...

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International Conference on Materials, Transportation and Environmental Engineering (CMTEE 2013)

作者： Zhu Minjie Zhang Jianwei Dalian Univ Machinery Engn Inst Dalian 116012 Peoples R China Dalian Univ Architectural Engn Inst Dalian 116012 Peoples R China

ISBN: (纸本)9783037858042

A single mode of transportation can not satisfy the agile manufacturing, rapid response from the customer demand, logistics supply chain management, and many other aspects with the rapid development of economy. Multimodal combined transport provide the corresponding solutions. Multimodal combined transport helps to save transportation costs or to save transportation time. And multimodal combined transport has a great significance to improve the transportation service level, to strengthen competition ability, to improve social comprehensive benefit. This article give an example from Liuzhou to Guangzhou. This article make a detailed scheme of Multimodal combined transport. In this paper, integrated transport path optimization model of multimodal combined transport of is set up with linear programming method. And integrated transport path optimization model is solved.

关键词： Multimodal combined transport Path optimization linear programming method

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A linear programming method for detecting negative circuits with special application to the assignment problem

A linear programming method for detecting negative circuits ...

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作者： Dennis, Robert Vaughn Naval Postgraduate School

学位级别：硕士

A new method for detecting negative cycles in a graph is proposed. This method is based upon the primal - dual relationships of a linear program formulated from an assign- ment problem type network. A computer program is developed for this new method to include the complete solution of the assignment problem. Results are given on program efficiency

关键词： linear programming method Negative Circuits Assignment Problem

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Frequency-Domain Pid Tuning Strategy with Specified Safety Margins Using linear programming method

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IFAC Proceedings Volumes 2000年第31期33卷 293-297页

作者： Ying J. Huang Yuan-Jay Wang Institute of Electrical Engineering Yuan Ze University 135 Far-east RD. Chungli Taiwan 320 PH: 886-3-4638800 Fax: 886-3-4630336. ееуjh@saturn.yzu.edu.tw

In this paper, a linear programming method is adopted to numerically search the entire admissible PID settings in the frequency domain. The results are demonstrated in the coefficient plane and the coefficient space. Henceforth, the relationship between the PID coefficients and the specifications in terms of gain margin and phase margin to be satisfied is shown graphically. The developed method characterizes all the solution sets in the parameter plane according to the pre-specified specifications, and it also facilitates the tuning process effectively. This alternative PID tuning strategy provides a systematic design procedure. It can be evolved as a subject in the teaching course for control education.

关键词： coefficient plane coefficient space linear programming method gain-phase margin tester method stability equations

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Fault detection based on an improved zonotopic Kalman filter with application to a wind turbine drivetrain

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JOURNAL OF THE FRANKLIN INSTITUTE 2025年第1期362卷

作者： Zhang, Lanshuang Wang, Zhenhua Puig, Vicenc Shen, Yi Harbin Inst Technol Dept Control Sci & Engn Harbin 150001 Peoples R China Univ Politecn Cataluna Automat Control Dept Barcelona 08034 Spain

This paper proposes a sensor fault detection method based on an improved zonotopic Kalman filter (ZKF) for discrete-time systems with parameter uncertainty. In the residual generation step, an improved ZKF is designed to generate robust residuals. The improved ZKF is designed by directly optimizing the estimated interval widths, which provides a clear geometric interpretation and yields tighter uncertainty bounds compared to the commonly used Frobenius norm optimization method. Moreover, the gain matrix of the improved ZKF is computed by the linear programming method, which is numerically efficient. In the residual evaluation step, the improved ZKF is used to obtain guaranteed adaptive thresholds. Then, to illustrate the superiority of the proposed fault detection method, a comparison study with application to a wind turbine drivetrain is proposed, which illustrates that the proposed method can achieve more accurate fault detection results compared with the commonly-used Frobenius norm optimization approach.

关键词： Fault detection Improved zonotopic Kalman filter linear programming method Wind turbine drivetrain

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Complex Chebyshev approximation for FIR filters using linear semi-infinite programming method

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ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE 2004年第3期87卷 49-57页

作者： Suyama, K Takada, K Hirabayashi, R Iwakura, H Sci Univ Tokyo Fac Engn Tokyo 1628601 Japan Mitsubishi Electr Corp Kamakura Kanagawa 2478501 Japan Univ Electrocommun Dept Informat & Commun Chofu Tokyo 1828585 Japan

In the optimum design of an FIR filter by the complex Chebyshev method, it is difficult to limit the increase of computational effort and to guarantee convergence to an optimum solution due to the nonlinearity of the problem and the instability of the frequency points for the optima. In this paper, the complex Chebyshev approximation problem is formulated as a linear semi-infinite programming problem by means of the real rotation theorem. An optimum design method is proposed using the three-phase method, a linear semi-infinite programming method. In the present method, the design problem is first reduced to a linear programming problem with constraints and a provisional solution is derived by the simplex method. After the constraints corresponding to the degenerated optimum frequencies contained in the provisional solution are combined, the solutions are adjusted to satisfy the optimum condition so as to obtain an optimum solution. Since low accuracy is sufficient for the provisional solution, memory requirements and computational effort can be reduced. By means of a design example, it is shown that the proposed method is superior in terms of solution accuracy and computational effort to the technique based on the simplex. method. (C) 2003 Wiley Periodicals, Inc.

关键词： digital filter Chebyshev approximation optimization linear programming method

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Optimum distribution of planning tasks in the preparation of medicinal ointments and pastes using linear programming methods

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Pharmaceutical Chemistry Journal 1971年第11期5卷 708-710页

作者： Eidel'man K.L. Khar'kov Chemico-Pharmaceutical Scientific-Research Institute

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Passenger inflow control with hierarchical coordination for overloaded metro lines

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IET INTELLIGENT TRANSPORT SYSTEMS 2020年第11期14卷 1418-1425页

作者： Zhou, Huijuan Liu, Yu Zhao, Yu North China Univ Technol Beijing Key Lab Urban Intelligent Traff Control T Beijing 100144 Peoples R China CCCC Railway Consultants Grp Co Ltd Beijing 100088 Peoples R China China Acad Railway Sci Corp Ltd Stand & Metrol Res Inst Beijing 100081 Peoples R China

Due to the congestion in urban rail transit during peak hours, this study proposes a hierarchical coordinated passenger inflow control model for overloaded metro lines from three dimensions, namely line, station and ticket gate. The hierarchical structure divides the system into three control layers and the model is established using the linear programming method. An improved particle swarm optimisation (PSO) algorithm, combining the interior penalty function and the basic PSO algorithm, is used to find the optimal objective value. In addition, the objective function with the penalty function to transform the constrained optimisation problem into an unconstrained optimisation problem is developed to solve the model. Finally, a real-world instance with operation data of the Beijing Metro Line 5 is implemented to demonstrate the performance and effectiveness of the proposed approaches.

关键词： particle swarm optimisation linear programming rail traffic control overloaded metro lines urban rail transit peak hours hierarchical coordinated passenger inflow control model ticket gate control layers linear programming method improved particle swarm optimisation algorithm interior penalty function basic PSO algorithm optimal objective value objective function constrained optimisation problem unconstrained optimisation problem Beijing Metro Line 5

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A Substation-Oriented Approach to Optimal Phasor Measurement Units Placement

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JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY 2015年第1期10卷 18-29页

作者： Bao, Wei Guo, Rui-Peng Han, Zhen-Xiang Chen, Li-Yue Lu, Min Zhejiang Univ Dept Elect Engn Hangzhou Zhejiang Peoples R China Zhejiang Elect Power Dispatch & Commun Ctr Hangzhou Zhejiang Peoples R China

State Estimation (SE) is the basis of a variety of advanced applications used in most modem power systems. An SE problem formed with enough phasor measurement units (PMUs) data is simply a linear weighted least squares problem requiring no iterations. Thus, designing a minimum-cost placement of PMUs that guarantees observability of a power system becomes a worthy challenge. This paper proposes an equivalent integer linear programming method for substation-oriented optimal PMU placement (SOOPP). The proposed method uses an exhaustive search to determine a globally optimal solution representing the best PMU placement for that particular power system. To obtain a more comprehensive model, contingencies and the limitation of the number of PMU measurement channels are considered and embodied in the model as changes to the original constraints and as additional constraints. The proposed method is examined for applicability using the IEEE 14-bus, 118-bus and 300-bus test systems. The comparison between SOOPP results and results obtained by other methods reveals the excellence of SOOPP. Furthermore, practical large-scale power systems are also successfully analyzed using SOOPP.

关键词： Phasor measurement units OPP Contingency Measurement channels limitation Substation oriented linear programming method

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Quantitative stability and error estimates for optimal transport plans

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IMA JOURNAL OF NUMERICAL ANALYSIS 2021年第3期41卷 1941-1965页

作者： Li, Wenbo Nochetto, Ricardo H. Univ Tennessee Dept Math Knoxville TN 37996 USA Univ Maryland Dept Math College Pk MD 20742 USA Univ Maryland Inst Phys Sci & Technol College Pk MD 20742 USA

Optimal transport maps and plans between two absolutely continuous measures mu and nu can be approximated by solving semidiscrete or fully discrete optimal transport problems. These two problems ensue from approximating mu or both mu and nu by Dirac measures. Extending an idea from Gigli (2011, On Holder continuity-in-time of the optimal transport map towards measures along a curve. Proc. Edinb. Math. Soc. (2), 54, 401-409), we characterize how transport plans change under the perturbation of both mu and nu. We apply this insight to prove error estimates for semidiscrete and fully discrete algorithms in terms of errors solely arising from approximating measures. We obtain weighted L-2 error estimates for both types of algorithms with a convergence rate O(h(1/2)). This coincides with the rate in Theorem 5.4 in Berman (2018, Convergence rates for discretized Monge-Ampere equations and quantitative stability of optimal transport. Preprint available at arXiv:1803.00785) for semidiscrete methods, but the error notion is different.

关键词： optimal transport transport plans quantitative stability error estimates Monge-Ampere Oliker-Prussner method linear programming method

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