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Nonlinear Model-Based Process Operation under Uncertainty Using Exact Parametric Programming 认领 引用 被引量：4
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作者 Vassilis M.Charitopoulos Lazaros G.Papageorgiou Vivek Dua 《Engineering》 SCIE EI CAS 2017年第2期202-213,共12页
In the present work,two new,(multi-)parametric programming(mp-P)-inspired algorithms for the solutionof mixed-integer nonlinear programming(MINLP)problems are developed,with their main focus being onprocess synthesis ... In the present work,two new,(multi-)parametric programming(mp-P)-inspired algorithms for the solutionof mixed-integer nonlinear programming(MINLP)problems are developed,with their main focus being onprocess synthesis problems.The algorithms are developed for the special case in which the nonlinearitiesarise because of logarithmic terms,with the first one being developed for the deterministic case,and thesecond for the parametric case(p-MINLP).The key idea is to formulate and solve the square system of thefirst-order Karush-Kuhn-Tucker(KKT)conditions in an analytical way,by treating the binary variables and/or uncertain parameters as symbolic parameters.To this effect,symbolic manipulation and solution tech-niques are employed.In order to demonstrate the applicability and validity of the proposed algorithms,twoprocess synthesis case studies are examined.The corresponding solutions are then validated using state-of-the-art numerical MINLP solvers.For p-MINLP,the solution is given by an optimal solution as an explicitfunction of the uncertain parameters. 展开更多
关键词 Parametric programming Uncertainty Process synthesis Mixed-integer nonlinear programming Symbolic manipulation
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Exponential distribution-based genetic algorithm for solving mixed-integer bilevel programming problems 认领 引用 被引量：4
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作者 Li Hecheng Wang Yuping 《Journal of Systems Engineering and Electronics》 SCIE EI 2008年第6期1157-1164,共8页
Two classes of mixed-integer nonlinear bilevel programming problems are discussed. One is that the follower＇s functions are separable with respect to the follower＇s variables, and the other is that the follower＇s f... Two classes of mixed-integer nonlinear bilevel programming problems are discussed. One is that the follower＇s functions are separable with respect to the follower＇s variables, and the other is that the follower＇s functions are convex if the follower＇s variables are not restricted to integers. A genetic algorithm based on an exponential distribution is proposed for the aforementioned problems. First, for each fixed leader＇s variable x, it is proved that the optimal solution y of the follower＇s mixed-integer programming can be obtained by solving associated relaxed problems, and according to the convexity of the functions involved, a simplified branch and bound approach is given to solve the follower＇s programming for the second class of problems. Furthermore, based on an exponential distribution with a parameter λ, a new crossover operator is designed in which the best individuals are used to generate better offspring of crossover. The simulation results illustrate that the proposed algorithm is efficient and robust. 展开更多
关键词 mixed-integer nonlinear bilevel programming genetic algorithm exponential distribution optimalsolutions
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Linear-in-Parameter Models Based on Parsimonious Genetic Programming Algorithm and Its Application to Aero-Engine Start Modeling 认领 引用 被引量：4
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作者 李应红 尉询楷 《Chinese Journal of Aeronautics》 EI CAS 2006年第4期295-303,共9页
A novel Parsimonious Genetic Programming （PGP） algorithm together with a novel aero-engine optimum data-driven dynamic start process model based on PGP is proposed. In application of this method, first, the traditio... A novel Parsimonious Genetic Programming （PGP） algorithm together with a novel aero-engine optimum data-driven dynamic start process model based on PGP is proposed. In application of this method, first, the traditional Genetic Programming（GP） is used to generate the nonlinear input-output models that are represented in a binary tree structure; then, the Orthogonal Least Squares algorithm （OLS） is used to estimate the contribution of the branches of the tree （refer to basic function term that cannot be decomposed anymore according to special rule） to the accuracy of the model, which contributes to eliminate complex redundant subtrees and enhance GP＇s convergence speed; and finally, a simple, reliable and exact linear-in-parameter nonlinear model via GP evolution is obtained. The real aero-engine start process test data simulation and the comparisons with Support Vector Machines （SVM） validate that the proposed method can generate more applicable, interpretable models and achieve comparable, even superior results to SVM. 展开更多
关键词 aerospace propulsion system linear-in-parameter nonlinear model Parsimonious Genetic Programming （PGP） aero-engine dynamic start model
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Genetic programming-based chaotic time series modeling 认领 引用 被引量：1
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作者 张伟 吴智铭 杨根科 《Journal of Zhejiang University Science》 2004年第11期1432-1439,共8页
This paper proposes a Genetic Programming-Based Modeling (GPM) algorithm on chaotic time series. GP is used here to search for appropriate model structures in function space, and the Particle Swarm Optimization (PSO) ... This paper proposes a Genetic Programming-Based Modeling (GPM) algorithm on chaotic time series. GP is used here to search for appropriate model structures in function space, and the Particle Swarm Optimization (PSO) algorithm is used for Nonlinear Parameter Estimation (NPE) of dynamic model structures. In addition, GPM integrates the results of Nonlinear Time Series Analysis (NTSA) to adjust the parameters and takes them as the criteria of established models. Experiments showed the effectiveness of such improvements on chaotic time series modeling. 展开更多
关键词 Chaotic time series analysis Genetic programming modeling Nonlinear Parameter Estimation (NPE) Particle Swarm Optimization (PSO) Nonlinear system identification
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A selective survey on mathematical programming in macroeconomics 认领 引用
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作者 CAI Zong-wu HU Jing-xian 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2025年第4期955-989,共35页
This paper surveys the literature for the optimization problems in both discrete and continuous time models in macroeconomics,and provides an overview over some related computational methods to solve the models linear... This paper surveys the literature for the optimization problems in both discrete and continuous time models in macroeconomics,and provides an overview over some related computational methods to solve the models linearly and nonlinearly,and to compute the transition dynamics and the impulse response functions.Also,the introduction of the financial sectors,the continuous time analysis,and the advanced mathematical tools into the general equilibrium framework expands greatly the scope of the interdisciplinary research to mathematics,statistics and econometrics,and creates further space for exploration and collaboration.Finally,some future research issues related to this topic are highlighted. 展开更多
关键词 diffusion models dynamic programming general equilibrium finite difference methods nonlinear models
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Bi-Level Programming for the Optimal Nonlinear Distance-Based Transit Fare Structure Incorporating Principal-Agent Game 认领 引用
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作者 Xin Sun Shuyan Chen Yongfeng Ma 《Journal of Harbin Institute of Technology(New Series)》 CAS 2022年第5期69-77,共9页
The urban transit fare structure and level can largely affect passengers’travel behavior and route choices.The commonly used transit fare policies in the present transit network would lead to the unbalanced transit a... The urban transit fare structure and level can largely affect passengers’travel behavior and route choices.The commonly used transit fare policies in the present transit network would lead to the unbalanced transit assignment and improper transit resources distribution.In order to distribute transit passenger flow evenly and efficiently,this paper introduces a new distance-based fare pattern with Euclidean distance.A bi-level programming model is developed for determining the optimal distance-based fare pattern,with the path-based stochastic transit assignment(STA)problem with elastic demand being proposed at the lower level.The upper-level intends to address a principal-agent game between transport authorities and transit enterprises pursing maximization of social welfare and financial interest,respectively.A genetic algorithm(GA)is implemented to solve the bi-level model,which is verified by a numerical example to illustrate that the proposed nonlinear distance-based fare pattern presents a better financial performance and distribution effect than other fare structures. 展开更多
关键词 bi-level programming model principal-agent game nonlinear distance-based fare path-based stochastic transit assignment
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A TRUST REGION METHOD WITH A CONIC MODEL FOR NONLINEARLY CONSTRAINED OPTIMIZATION 认领 引用 被引量：1
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作者 Wang Chengjing 《Applied Mathematics(A Journal of Chinese Universities)》 2006年第3期263-275,共13页
Trust region methods are powerful and effective optimization methods. The conic model method is a new type of method with more information available at each iteration than standard quadratic-based methods. The advanta... Trust region methods are powerful and effective optimization methods. The conic model method is a new type of method with more information available at each iteration than standard quadratic-based methods. The advantages of the above two methods can be combined to form a more powerful method for constrained optimization. The trust region subproblem of our method is to minimize a conic function subject to the linearized constraints and trust region bound. At the same time, the new algorithm still possesses robust global properties. The global convergence of the new algorithm under standard conditions is established. 展开更多
关键词 trust region method conic model constrained optimization nonlinear programming.
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Design of a Computational Heuristic to Solve the Nonlinear Liénard Differential Model 认领 引用
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作者 Li Yan Zulqurnain Sabir +3 位作者 Esin Ilhan Muhammad Asif Zahoor Raja WeiGao Haci Mehmet Baskonus 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第7期201-221,共21页
In this study,the design of a computational heuristic based on the nonlinear Liénard model is presented using the efficiency of artificial neural networks(ANNs)along with the hybridization procedures of global an... In this study,the design of a computational heuristic based on the nonlinear Liénard model is presented using the efficiency of artificial neural networks(ANNs)along with the hybridization procedures of global and local search approaches.The global search genetic algorithm(GA)and local search sequential quadratic programming scheme(SQPS)are implemented to solve the nonlinear Liénard model.An objective function using the differential model and boundary conditions is designed and optimized by the hybrid computing strength of the GA-SQPS.The motivation of the ANN procedures along with GA-SQPS comes to present reliable,feasible and precise frameworks to tackle stiff and highly nonlinear differentialmodels.The designed procedures of ANNs along with GA-SQPS are applied for three highly nonlinear differential models.The achieved numerical outcomes on multiple trials using the designed procedures are compared to authenticate the correctness,viability and efficacy.Moreover,statistical performances based on different measures are also provided to check the reliability of the ANN along with GASQPS. 展开更多
关键词 Nonlinear Liénard model numerical computing sequential quadratic programming scheme genetic algorithm statistical analysis artificial neural networks
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考虑SAEV充电需求的车队动态调度与配套设施布局协同优化模型 认领 引用
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作者 韩飞 曹万彪 +2 位作者 王建 李岩 孙超 《交通运输工程学报》 EI CAS CSCD 北大核心 2026年第6期198-208,共11页
为实现共享自动驾驶电动汽车(SAEV)的车队调度与配套设施布局协同优化,构建了SAEV车队规模、车队行驶总距离、乘客总出行时间以及充电停车设施建设成本最小化的多目标非线性规划模型;该模型基于时间扩展网络描述乘客动态OD出行需求、SAE... 为实现共享自动驾驶电动汽车(SAEV)的车队调度与配套设施布局协同优化,构建了SAEV车队规模、车队行驶总距离、乘客总出行时间以及充电停车设施建设成本最小化的多目标非线性规划模型;该模型基于时间扩展网络描述乘客动态OD出行需求、SAEV车队的动态调度策略以及乘客流的时空位移变化,并利用网络中节点、边的容量限制,分别刻画了交通小区内充电停车设施和连接道路上的拥堵效应;区别于传统模型,该模型考虑了SAEV车队的充电需求、充电/营业SAEV车流与乘客流的动态守恒关系、拼车乘客数量限制以及配套设施容量限制等约束;为提高模型求解效率,采用线性近似与线性等价技术将模型重构为混合整数线性规划模型,并采用Epsilon约束法求解多目标模型的帕累托最优解;采用成都市路网出行数据对模型有效性进行了验证,并针对不同拼车乘客数量、车队充电需求比例进行了情景对比分析。研究结果表明:当拼车乘客数量从1人增加至4人,车队行驶总距离减少77.87%,车队规模减小88.56%,配套设施建设成本减少96.80%,但乘客总出行时间增加125.46%,表明运营商应选取合适的拼车策略以保证乘客出行效率;当SAEV车队充电需求比例从30%降低至5%,车队行驶总距离降低10.77%,运营商车队规模降低3.69%,配套设施建设成本与乘客出行总时间保持不变,表明提升SAEV续航性能在提高车队运输效率、降低SAEV车队运营成本方面具有较大潜力。 展开更多
关键词 交通工程 共享自动驾驶电动汽车 混合整数非线性规划模型 车队运营调度 线性化技术 设施布局
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基于启发式遗传算法的一二次有源配电网协调规划研究 认领 引用
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作者 舒东胜 杨洁 +1 位作者 赵红生 李亚馨 《微型电脑应用》 2026年第1期59-63,共5页
典型的有源配电网规划的目标是对配电网规划进行优化,以满足未来的电力需求和所有技术与操作的约束。利用分布式电源的控制能力和容量可以获得配电网规划的最佳经济效益方案。对此,提出一种基于启发式遗传算法的一二次有源配电网协调规... 典型的有源配电网规划的目标是对配电网规划进行优化,以满足未来的电力需求和所有技术与操作的约束。利用分布式电源的控制能力和容量可以获得配电网规划的最佳经济效益方案。对此,提出一种基于启发式遗传算法的一二次有源配电网协调规划方案,将多阶段的有源配电网建设问题建模为混合整数非线性规划模型,并引入对分布式电源机组的有功和无功输出控制。利用启发式遗传算法对混合整数非线性规划模型进行优化求解,推导得到投资成本最低的配电网拓扑结构,并分配不同变电站和配电线路等的安装周期。借助改进的24母线配电测试系统对所提出的方案进行验证,验证结果表明,在控制分布式电源机组的有功功率和无功功率的情况下,所提出的方案获得的成本效益最高,并满足电网运行的约束限制。 展开更多
关键词 有源配电网协调规划 启发式遗传算法 混合整数非线性规划模型 分布式电源机组 有功和无功输出控制 成本效益
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基于严格非线性规划超结构模型的三组元精馏序列合成 认领 引用
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作者 汪路遥 贾胜坤 +1 位作者 罗祎青 袁希钢 《化工学报》 EI CAS CSCD 北大核心 2026年第7期3976-3987,共12页
精馏序列合成是化工过程系统工程的研究热点与难点。已有研究或是仅利用简捷精馏模型,或是由于离散变量导致优化时间过长。因此,本文在状态-任务网络(STN)精馏超结构中,提出了一种用于精馏序列合成的非线性规划(NLP)超结构模型。提出了... 精馏序列合成是化工过程系统工程的研究热点与难点。已有研究或是仅利用简捷精馏模型,或是由于离散变量导致优化时间过长。因此,本文在状态-任务网络(STN)精馏超结构中,提出了一种用于精馏序列合成的非线性规划(NLP)超结构模型。提出了塔间热连接超结构,消除了表示冷凝器、再沸器与热耦合流股的离散变量,并应用理论级的速率松弛模型,以连续调整理论级数和塔段的存在性。即使应用严格的逐级精馏模型和热力学方程,提出的NLP超结构模型也可在1 min内,快速实现三组元精馏序列、理论级数与回流比等结构和操作变量的同时优化。得益于高效的优化计算,进一步探讨了目标函数、进料组成及产品纯度要求对三组元精馏序列的影响。 展开更多
关键词 计算机模拟 系统工程 精馏序列 非线性规划 严格精馏模型 优化设计
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Maximum likelihood estimation of nonlinear mixed-effects models with crossed random effects by combining first-order conditional linearization and sequential quadratic programming 认领 引用 被引量：1
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作者 Liyong Fu Mingliang Wang +2 位作者 Zuoheng Wang Xinyu Song Shouzheng Tang 《International Journal of Biomathematics》 SCIE 2019年第5期1-18,共18页
Nonlinear mixed-eirects (NLME) modek have become popular in various disciplines over the past several decades.However,the existing methods for parameter estimation imple-mented in standard statistical packages such as... Nonlinear mixed-eirects (NLME) modek have become popular in various disciplines over the past several decades.However,the existing methods for parameter estimation imple-mented in standard statistical packages such as SAS and R/S-Plus are generally limited k) single-or multi-level NLME models that only allow nested random effects and are unable to cope with crossed random effects within the framework of NLME modeling.In t his study,wc propose a general formulation of NLME models that can accommodate both nested and crassed random effects,and then develop a computational algorit hm for parameter estimation based on normal assumptions.The maximum likelihood estimation is carried out using the first-order conditional expansion (FOCE) for NLME model linearization and sequential quadratic programming (SCJP) for computational optimization while ensuring positive-definiteness of the estimated variance-covariance matrices of both random effects and error terms.The FOCE-SQP algorithm is evaluated using the height and diameter data measured on trees from Korean larch (L.olgeiisis var,Chang-paienA.b) experimental plots aa well as simulation studies.We show that the FOCE-SQP method converges fast with high accuracy.Applications of the general formulation of NLME models are illustrated with an analysis of the Korean larch data. 展开更多
关键词 Crossed random effects first-order conditional expansion nested random effects nonlinear mixed-effects models sequential quadratic programming
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基于融合改进可拓云模型-IPA方法的地铁服务质量评价及提升策略研究 认领 引用
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作者 陈祖光 何静 冯云华 《铁道运输与经济》 北大核心 2026年第8期137-147,共11页
为克服传统地铁服务质量评价方法在处理语言评价的模糊性、指标描述的不确定性及传统云熵计算方法单一性方面的不足,研究构建了基于融合改进可拓云模型-IPA方法的地铁服务质量评价体系。该体系引入矩阵思想对评价指标进行组合赋权,同时... 为克服传统地铁服务质量评价方法在处理语言评价的模糊性、指标描述的不确定性及传统云熵计算方法单一性方面的不足,研究构建了基于融合改进可拓云模型-IPA方法的地铁服务质量评价体系。该体系引入矩阵思想对评价指标进行组合赋权,同时改进可拓云模型通过非线性规划优化云熵的计算方法,科学处理评价过程中的模糊性和不确定性;随后IPA方法识别重点改进问题,为优先整改顺序提供依据。以昆明轨道交通5号线为例,研究结果表明5号线整体处于“比较满意”水平。评价结果的可信度因子较传统评价方法更小,验证了评价结果的可靠性和模型的有效性。通过IPA方法,识别出换乘服务、出行便捷性、实时信息更新和工作人员服务专业性等要素位于重点改进区域。据此,地铁运营企业可以将资源集中在重点改进区域进行优先整改,从而更有效地实现服务质量的提升。 展开更多
关键词 地铁服务质量 改进可拓云模型-IPA 矩阵思想 非线性规划 可信度因子
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Optimal Antibody Puri cation Strategies Using Data-Driven Models 认领 引用
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作者 Songsong Liu Lazaros GPapageorgiou 《Engineering》 SCIE EI CAS 2019年第6期1077-1092,共16页
This work addresses the multiscale optimization of the puri cation processes of antibody fragments. Chromatography decisions in the manufacturing processes are optimized, including the number of chromatography columns... This work addresses the multiscale optimization of the puri cation processes of antibody fragments. Chromatography decisions in the manufacturing processes are optimized, including the number of chromatography columns and their sizes, the number of cycles per batch, and the operational ow velocities. Data-driven models of chromatography throughput are developed considering loaded mass, ow velocity, and column bed height as the inputs, using manufacturing-scale simulated datasets based on microscale experimental data. The piecewise linear regression modeling method is adapted due to its simplicity and better prediction accuracy in comparison with other methods. Two alternative mixed-integer nonlinear programming (MINLP) models are proposed to minimize the total cost of goods per gram of the antibody puri cation process, incorporating the data-driven models. These MINLP models are then reformulated as mixed-integer linear programming (MILP) models using linearization techniques and multiparametric disaggregation. Two industrially relevant cases with different chromatography column size alternatives are investigated to demonstrate the applicability of the proposed models. 展开更多
关键词 Antibody purification Multiscale optimization Antigen-binding fragment Mixed-integer programming Data-driven model Piecewise linear regression
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基于参数化模型的超低温阀门结构优化研究 认领 引用
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作者 秦宏川 张蔚 《液压气动与密封》 2026年第1期83-89,共7页
超低温阀门是液化天然气等物质运输的关键结构,为了优化超低温阀门结构的强度与密封性,构建了超低温阀门结构的参数化模型,对超低温阀门结构的设计参数进行了分析;建立了确定性优化方程,并采用多岛遗传算法(Multi-island Genetic Algori... 超低温阀门是液化天然气等物质运输的关键结构,为了优化超低温阀门结构的强度与密封性,构建了超低温阀门结构的参数化模型,对超低温阀门结构的设计参数进行了分析;建立了确定性优化方程,并采用多岛遗传算法(Multi-island Genetic Algorithm,MIGA)与非线性二次规划(Nonlinear Quadratic Programming,NLPQL)算法,对确定性优化方程进行求解。结果显示,经过优化后,超低温阀门结构填料最低温度、密封比压、流阻系数均有所降低,其中填料最低温度下降22.8%,密封比压下降2.73%,流阻系数下降11.15%。提出的超低温阀门结构优化方法,可有效优化超低温阀门的密封性,提高超低温阀门的确定性。 展开更多
关键词 超低温阀门 参数化模型 多岛遗传算法 非线性二次规划
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Design and optimization of steam power systems in industrial parks based on the distributed steam turbine system 认领 引用 被引量：2
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作者 Lingwei Zhang Ziyuan Cui Yufei Wang 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2025年第1期259-272,共14页
Steam power systems(SPSs)in industrial parks are the typical utility systems for heat and electricity supply.In SPSs,electricity is generated by steam turbines,and steam is generally produced and supplied at multiple ... Steam power systems(SPSs)in industrial parks are the typical utility systems for heat and electricity supply.In SPSs,electricity is generated by steam turbines,and steam is generally produced and supplied at multiple levels to serve the heat demands of consumers with different temperature grades,so that energy is utilized in cascade.While a large number of steam levels enhances energy utilization efficiency,it also tends to cause a complex steam pipeline network in the industrial park.In practice,a moderate number of steam levels is always adopted in SPSs,leading to temperature mismatches between heat supply and demand for some consumers.This study proposes a distributed steam turbine system(DSTS)consisting of main steam turbines on the energy supply side and auxiliary steam turbines on the energy consumption side,aiming to balance the heat production costs,the distance-related costs,and the electricity generation of SPSs in industrial parks.A mixed-integer nonlinear programming model is established for the optimization of SPSs,with the objective of minimizing the total annual cost(TAC).The optimal number of steam levels and the optimal configuration of DSTS for an industrial park can be determined by solving the model.A case study demonstrates that the TAC of the SPS is reduced by 220.6×103USD(2.21%)through the arrangement of auxiliary steam turbines.The sub-optimal number of steam levels and a non-optimal operating condition slightly increase the TAC by 0.46%and 0.28%,respectively.The sensitivity analysis indicates that the optimal number of steam levels tends to decrease from 3 to 2 as electricity price declines. 展开更多
关键词 Industrial parks Steam power systems Distributed steam turbine system Mixed-integer nonlinear programming Optimization Enthalpy
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异构非线性多智能体系统无模型输出一致性控制 认领 引用 被引量：1
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作者 孙一仆 陈鑫 +2 位作者 贺文朋 佘锦华 吴敏 《自动化学报》 EI CAS CSCD 北大核心 2025年第3期604-616,共13页
针对异构非线性多智能体系统(Multi-agent system,MAS)的输出一致性控制难题,设计了一种基于同胚分布式控制协议的无模型方法.通过将输出反馈线性化理论与自适应动态规划相结合,可以在不需要精确系统模型的情况下实现非线性智能体的线性... 针对异构非线性多智能体系统(Multi-agent system,MAS)的输出一致性控制难题,设计了一种基于同胚分布式控制协议的无模型方法.通过将输出反馈线性化理论与自适应动态规划相结合,可以在不需要精确系统模型的情况下实现非线性智能体的线性化,简化分布式控制器的设计复杂性.具体而言,设计一种双层分布式控制结构,在物理空间层通过无模型反馈线性化方法实现未知系统线性化,在微分同构空间层利用线性控制技术进行分布式共识控制.通过两个实验验证了所提方法在处理未知异构非线性多智能体系统中的有效性,将传统的线性分布式控制方法扩展到未知非线性多智能体系统的控制器设计. 展开更多
关键词 非线性多智能体系统 无模型输出共识控制 微分同胚 输入输出反馈线性化 自适应动态规划
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Reduction of losses in electric power distribution system-dynamic reconfiguration case study 认领 引用
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作者 Branimir Novoselnik Drago Bago +1 位作者 Jadranko Matuško Mato Baotić 《Control Theory and Technology》 EI CSCD 2025年第1期49-63,共15页
This paper deals with reduction of losses in electric power distribution system through a dynamic reconfiguration case study of a grid in the city of Mostar,Bosnia and Herzegovina.The proposed solution is based on a n... This paper deals with reduction of losses in electric power distribution system through a dynamic reconfiguration case study of a grid in the city of Mostar,Bosnia and Herzegovina.The proposed solution is based on a nonlinear model predictive control algorithm which determines the optimal switching operations of the distribution system.The goal of the control algorithm is to find the optimal radial network topology which minimizes cumulative active power losses and maximizes voltages across the network while simultaneously satisfying all system constraints.The optimization results are validated through multiple simulations(using real power demand data collected for a few characteristic days during winter and summer)which demonstrate the efficiency and usefulness of the developed control algorithm in reducing the grid losses by up to 14%. 展开更多
关键词 Nonlinear model predictive control Dynamic reconfiguration Power distribution system Mixed-integer programming Real-life case study
Research of Enterprise Storage Ecosystem Based on Storage Theory and Nonlinear Discrete Optimization 认领 引用
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作者 Zixin Lu Jiaqi Zhu Yufeng Gui 《Applied Mathematics》 2018年第6期738-748,共11页
Warehousing and transferring strategies are an important part of business operations. The issue of optimal warehousing and transferring strategy is studied in this paper. Wal-Mart in Wuhan serves as an example to esta... Warehousing and transferring strategies are an important part of business operations. The issue of optimal warehousing and transferring strategy is studied in this paper. Wal-Mart in Wuhan serves as an example to establish a (s, S) random storage strategy model, a Markov chain model, and a nonlinear discrete programming model, aiming at maximizing the profit per cycle of every branch and further maximizing the company’s total profit per cycle. Among them, the random storage strategy model establishes a security zone of inventory for every branch, that is, it can meet consumers’ demand without spending too much storage costs. The Markov chain model is used to get the probability of losing sales opportunities in every branch. The nonlinear discrete programming model takes into account the horizontal transferring among branches, which further maximizes the company’s overall profit expectations. The three models above can be used to formulate inventory strategies, assess risks, and provide advice for every branch in order to form a complete storage ecosystem and provide constructive suggestions for the company’s operations. 展开更多
关键词 Marketing Strategy (s S) Random Storage Strategy Markov Chain Discrete Nonlinear Programming Model
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基于非线性整数规划模型的机器人避障规划研究 认领 引用
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作者 贾东 刘俊毅 《装备机械》 2025年第3期6-11,共6页
路径规划的关键在于有效实现避障,并找到最优路径。对基于非线性整数规划模型的机器人避障规划进行研究。针对机器人在特定区域内的避障需求,构建0-1非线性整数规划模型,用于求解从一个点到另一个点的避障最短路径和避障最短时间路径。... 路径规划的关键在于有效实现避障,并找到最优路径。对基于非线性整数规划模型的机器人避障规划进行研究。针对机器人在特定区域内的避障需求,构建0-1非线性整数规划模型,用于求解从一个点到另一个点的避障最短路径和避障最短时间路径。在避障最短路径问题中,通过理论分析得出当在障碍物顶角设置半径为10单位的圆弧时,可以有效缩短机器人的行进长度。通过设计以路径不与障碍物边界或圆弧相交为约束条件,以行进长度最短为目标的模型,进一步提高路径规划的精度。针对避障最短时间路径问题,推导出从一个点到另一个点的避障最短时间路径。在多种路径约束下,所提出的模型可以实现机器人行进时间的最短化,为复杂环境中的路径规划提供理论依据和实际参考。 展开更多
关键词 非线性整数规划模型 机器人 避障 研究
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