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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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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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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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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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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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Optimal Dynamic Resource Allocation for Multi-Point Communication in WBAN

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IEEE ACCESS 2020年 8卷 114153-114161页

作者： Huang, Ziqiu Cong, Yuliang Ling, Zhuang Mao, Zhi Hu, Fengye Jilin Univ Coll Commun Engn Changchun 130025 Peoples R China

Considering the characteristics of lower power resources in multi-point wireless body area networks (WBANs), the wireless energy and information transmission in full duplex (FD) mode is considered. We propose a transmission protocol based on time division multiple access, which includes two phases. In the inactive phase, the signal access point (AP) broadcasts Radio Frequency (RF) energy to the sensors. When the energy collected by all sensors reaches their respective energy thresholds, the active phase will start. In the active phase, the sensors send back the collected physiological information parameters to the AP, while sensors still collecting the energy transmitted from the AP to achieve the purpose of energy accumulating. Our goal is to obtain the optimal time allocation ratio through the joint objective linear programming method to obtain the maximum average sum-throughput. The simulation results compared with the AP with FD and the sensors with half duplex (HD) show that our proposed optimization method can improve system throughput obviously.

关键词： Wireless body area network (WBAN) energy harvest energy and information transfer full duplex (FD) half duplex (HD) linear programming method

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Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set

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INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT 2020年第1期11卷 189-222页

作者： Kumar, P. Senthil Navodaya Inst Technol Dept Humanities & Sci Bijanagera Rd PB 26Navodaya Nagar Raichur 584103 Karnataka India

In this article, the crisp, fuzzy and intuitionistic fuzzy optimization problem is formulated. The basic definitions and notations related to optimization problems are given in the preliminaries section. Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set is presented in this article. Then, with the help of the proposed algorithm the optimal solution of the crisp, fuzzy and intuitionistic fuzzy optimization problems are determined. A new theorem related to type-2 fuzzy/type-2 intuitionistic fuzzy optimization problems is proposed and proved. Some new and concrete results related to type-2 fuzzy/type-2 intuitionistic fuzzy optimization problems are presented. To illustrate the proposed method, some real-life numerical examples are presented. The proposed article provides seven fully worked examples with screenshots of output summaries from the software used in the computations for better understanding. The advantages of the proposed approach as compared to other existing work are also specified. Detail analyses of the comparative study as well the discussion are given. To show the advantages of the proposed approach, superiority analysis is discussed. Comparison analysis and the advantages of the proposed operators are also discussed. Some managerial applications and the advantages of the proposed approach are given. Finally, conclusion and future research directions are also given.

关键词： Fuzzy set Fuzzy number TFN TrFN Intuitionistic fuzzy set Intuitionistic fuzzy number TIFN TrIFN Type-2 FTP Type-2 IFTP Type-2 IFSTP FAP IFAP IFSAP linear programming method Integer programming problem Optimal solution Optimal assignment PSK theorem

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New lower and upper bounds on Armstrong codes 17

New lower and upper bounds on Armstrong codes

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17th International Workshop on Algebraic and Combinatorial Coding Theory (ACCT)

作者： Alexandrova, Todorka Boyvalenkov, Peter Sali, Attila Bulgarian Acad Sci Inst Math & Informat Sofia Bulgaria Budapest Univ Technol & Econ Alfred Renyi Inst Math Budapest Hungary Budapest Univ Technol & Econ Dept Comp Sci Budapest Hungary

ISBN: (纸本)9781665402873

An Armstrong(q, k, n) code is a q-ary code of length n of minimum distance n - k + 1 such that for every (k - 1)-subset of coordinates there exists a pair of codewords that agree exactly there. Let f (q, k) denote the largest n such that an Armstrong(q, k, n) code exists. Upper and lower bounds on f (q, k) were given earlier in general, and in the case when k > k(0)(q). In the present paper we propose a new construction to provide Armstrong((p +1)/2, 2l, p) for a prime p and give an upper bound in the case of fixed k and large enough q. Both results imply improvements on corresponding general known bounds for large enough q.

关键词： Armstrong code linear programming method Krawtchouk polynomials

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Three-based level model to determine optimal scheduling of the MG integrated operation using Benders decomposition

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IET GENERATION TRANSMISSION & DISTRIBUTION 2019年第20期13卷 4712-4723页

作者： Kouhian, Farhad Zangeneh, Ali Marti, Jose Ramon Shahid Rajaee Teacher Training Univ Elect Engn Dept Tehran Iran Univ British Columbia Dept Elect & Comp Engn Vancouver BC V6T 1Z4 Canada

In this study, an optimal scheduling model is proposed to perform energy management in a microgrid (MG) including distributed energy resources in both grid-connected and islanded modes. To this end, a tri-level optimization model has been presented, in which Benders method decomposes the original problem into the main problem (the first level), sub-problem (SP) (the second level) and optimal SP (the third level). The first and second levels model the MG operation in grid-connected and islanded modes, respectively. Finally, the third level directs the obtained feasible solution of the second level to an optimal solution in the islanded mode. In the proposed model, the effect of an adjacent MG is also considered, and a call-option contract is used to model the transaction power between networked MG. While it is assumed that they are connected to each other, they only exchange power in the islanded mode to prevent the arbitrage state. The aim of the proposed model is to present a flexible and integrated operation of the MG, which has the ability to work in both grid connected and island modes. Uncertainties of the problem are modelled using the two-point estimation method (2 m+1).

关键词： integer programming energy management systems pricing distributed power generation power generation economics power markets power distribution economics power generation scheduling renewable energy sources island modes MG integrated operation Benders decomposition optimal scheduling model energy management distributed energy resources tri-level optimisation model Benders method optimal solution islanded mode integer programming method linear programming method flexible operation microgrid grid-connected mode transaction power exchange power arbitrage state integrated operation generation cost purchasing energy power generation renewable resources electric energy price two-point estimation method

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Application of linear programming Modeling in Multiwave Missile Launch

Application of Linear Programming Modeling in Multiwave Miss...

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作者： Qitong Ou Chenhong Du School of Applied Mathematics Xiamen University of Technology

linear programming modeling is mainly concerned with solving the maximum or minimum value of a linear function under a group of linear constraints. It has been widely used in many subjects and fields. As an application example of linear programming, this paper decomposed two-wave salvo into three steps, used Floyd algorithm and 0-1 programming to complete the task allocation model, and used Dijkstra algorithm to carry out path planning for the subsequent transfer of missile vehicles, and designed the transfer path with the highest survival rate.

关键词： Mathematical modelling linear programming method 0-1 programming Floyd algorithm Ant colony algorithm

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