Mixed-type duality for multiobjective fractional variational control problems by Raman Patel

“…The results generalize a number of duality results previously obtained for finite-dimensional nonlinear programming problems under various convexity assumptions.…”
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Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming by Zhichuan Zhu, Yeong-Cheng Liou

“…In the paper, the aggregate constraint-shifting homotopy method for solving general nonconvex nonlinear programming is considered. The aggregation is only about inequality constraint functions. …”
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Best Proximity Point Results for MK-Proximal Contractions by Mohamed Jleli, Erdal Karapınar, Bessem Samet

“…The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real-valued function x↦d(x,Tx), where T belongs to a new class of contractive mappings. …”
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Second-Order Multiplier Iteration Based on a Class of Nonlinear Lagrangians by Yong-Hong Ren

“…This paper aims at analyzing the second-order multiplier iteration based on a class of nonlinear Lagrangians for solving nonlinear programming problems with inequality constraints. …”
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Spline approximation of multivalued functions in linear structures routing by D. A. Karpov, V. I. Struchenkov

“…An additional nonlinear programming algorithm was also used to optimize the parameters of the resulting spline as an initial approximation. …”
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Complete Solutions to General Box-Constrained Global Optimization Problems by Dan Wu, Youlin Shang

“…This paper presents a global optimization method for solving general nonlinear programming problems subjected to box constraints. …”
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Distributed relay assignment and power allocation for full-duplex two-way relaying in wireless sensor networks by Song Li, Shuo Li, Yanjing Sun

“…We investigated the weighted sum rate maximization problem under relay assignment constraints and total power constraints on each cooperative link, which turns out to be a mixed integer nonlinear programming problem. To tackle the challenging problem, we propose a distributed relay assignment and power allocation scheme by separating the original problem into two subproblems: relay assignment and power allocation. …”
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A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs by Min Fan, Ping Zou, Shao-Rong Li, Chin-Chia Wu

“…Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash equilibrium of IFPBiG. …”
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Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems by Waleeda Swaidan, Amran Hussin

“…Most of the direct methods solve optimal control problems with nonlinear programming solver. In this paper we propose a novel feedback control method for solving for solving affine control system, with quadratic cost functional, which makes use of only linear systems. …”
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A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency Loss by Xiao-Jun Yu, Jiancheng Long

“…The users governed by the UE player use the paths with minimum actual travel cost, while the users governed by altruistic players use the paths with minimum perceived travel cost, which is a linear combination of the actual and marginal travel costs. A nonlinear programming method is adopted to derive the efficiency loss of the UE-AP mixed equilibrium with polynomial cost function. …”
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THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION by A. Tarasenko, I. Egorova

“…The method of dynamic programming has been considered, which is used in solving multiple problems in economics, on the example of using Bellman’s optimality principle for solving nonlinear programming problems. On a specific numerical example, the features of the solution have been shown in detail with all the calculations. …”
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Containerships Sailing Speed and Fleet Deployment Optimization under a Time-Based Differentiated Freight Rate Strategy by Hualong Yang, Yuwei Xing

“…Then, the optimization problem is formulated as a mixed-integer nonlinear programming. Its goal is to maximize the total profits of a container liner shipping. …”
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Real-Time Trajectory Planning and Control for Constrained UAV Based on Differential Flatness by Dongli Wu, Hao Zhang, Yunping Liu, Weihua Fang, Yan Wang

“…A differential flat theory based on B-spline trajectory planning can replace the optimal control problem with nonlinear programming and be a good means to achieve the efficient trajectory planning of an UAV under multiple dynamic constraints. …”
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Optimum Design of Multidischarge Outlet Biomass Briquetting Machine by Jiaqi Yang, Jirong Wang, Jun Li, Lianwen Shi, Xiangwu Dai

“…To further improve efficiency and rationally allocate power at each stage, in this paper, we established a mathematical model for the machine. We use the nonlinear programming in Matlab (2016b) to solve the minimum value of the model, making the machine work time the shortest.…”
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Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method by Chun-Mei Yu, Dang-Jun Zhao, Ye Yang

“…The Chebyshev-Gauss Legend (CGL) node points are used to transcribe the original dynamic constraint into algebraic equality constraint; therefore, a nonlinear programming (NLP) problem is concave and time-consuming to be solved. …”
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The Nonsequential Fusion Method for Localization from Unscented Kalman Filter by Multistation Array Buoys by Gou Yanni, Wang Qi

“…Based on special features of array buoy and the research field of location and tracking of underwater target, the research combines the highly adaptive nonlinear filtering algorithm unscented Kalman filter with the nonlinear programming of multistation array buoy positioning system. …”
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Enhancing Peak Shaving through Nonlinear Incentive-Based Demand Response: A Consumer-Centric Utility Optimization Approach by Nasim Eslaminia, Habib Rajabi Mashhadi

“…Real data are utilized, and the proposed models are implemented using the mixed-integer nonlinear programming (MINLP) method. The results demonstrate the effectiveness of providing incentives to consumers during peak hours compared to other approaches, with a comparison between the linear and nonlinear models.…”
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Study on Identification Method for Parameter Uncertainty Model of Aero Engine by Jie Bai, Shuai Liu, Wei Wang

“…The identification problem is solved by calculating nonlinear programming. Considering the parameter uncertainty of the model is the critical point of this research during the optimization process. …”
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Node Selection Algorithms with Data Accuracy Guarantee in Service-Oriented Wireless Sensor Networks by Hongju Cheng, Ronglie Guo, Yuzhong Chen

“…Firstly, we have formulated this problem into an integer nonlinear programming problem to illustrate its NP-hard property. …”
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Neutrosophic Number Optimization Models and Their Application in the Practical Production Process by Angyan Tu, Jun Ye, Bing Wang

“…Next, the two methods are applied to linear and nonlinear programming problems with neutrosophic number information to obtain the optimal solution of the maximum/minimum objective function under the constrained conditions of practical productions by neutrosophic number optimization programming (NNOP) examples. …”
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