A Rough Penalty Genetic Algorithm for Multicast Routing in Mobile Ad Hoc Networks by Chih-Hao Lin, Chia-Chun Chuang

“…We formulate the problem as a constrained optimization problem, where the objective function is to minimize the total cost of the multicast tree subject to QoS constraints. …”
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Performance Analysis and Dimensional Optimization of 2RUP_aR-2RRU Parallel Mechanism by Linxian Che, Bing He, Jie Li, Haiyi Jiang

“…Furthermore， the definition， the numerical calculation method of the effective transmission orientation workspace and the effective transmission positional workspace （ETPW） are introduced. A constrained optimization model is constructed to formulate the design problem of dimensional parameters on the maximizing ETPW， and the differential evolutionary algorithm is employed to solve this problem. …”
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Aerodynamic Optimization of a UAV Wing subject to Weight, Geometric, Root Bending Moment, and Performance Constraints by Durmuş Sinan Körpe, Öztürk Özdemir Kanat

“…The sequential quadratic programming algorithm of the MATLAB optimization toolbox is used for the solution of the constrained optimization problems. Three different optimization problems are solved. …”
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Channel estimation for double IRS-assisted millimeter wave MIMO systems based on tensor decomposition and manifold optimization by FENG Kaihui, LIU Chen, HUANG Zheng, SONG Yunchao, GAO Runqin

“…Finally, considering the low-rank characteristics of the millimeter wave channel itself, each channel estimation sub-problem was transformed into an optimization problem on the complex fixed-rank matrix manifold, and a manifold optimization-based alternating channel estimation scheme was proposed by leveraging the advantages of fixed-rank manifold optimization in solving rank-constrained optimization problems. Unlike traditional schemes, the proposed scheme takes into account the low-rank characteristics of millimeter wave channels, accurately describes the channels, and effectively handles fixed-rank constraints using manifold optimization theory, thus improving the accuracy of channel estimation. …”
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New Three-Level Resource Management Enhancing Quality of Offline Hardware Task Placement on FPGA by Ikbel Belaid, Fabrice Muller, Maher Benjemaa

“…Hence, the placement problem is formulated into a constrained optimization problem and resolved with powerful solvers using the Branch and Bound method. …”
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Designing an Incentive Mechanism to Reward Users for Advertising Content Usage Considering Network Effects by Hamed Kebriaei, Alireza Baneshi, Mina Montazeri

“…The formulation of this contract is a non-convex-constrained optimization problem. Using lemmas and propositions, we formulate the initial optimization problem that is challenging to solve as an optimization problem with convex constraints and prove that these two problems are equivalent to each other. …”
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Measurement configuration for integrated electric–gas systems via observability analysis considering gas flow dynamics by Zeming Chen, Zhigang Li, Huajian Li, Jiahui Zhang, Yixuan Li, Jiehui Zheng

“…Furthermore, the measurement configuration problem for IEGSs considering gas flow dynamics is formulated as a rank‐constrained optimization problem. To handle the rank constraints effectively, an iterative cutting method is developed with convergence guarantees. …”
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Multi-stage adaptive speed control with torque ripple optimization for a switched reluctance motor in electric vehicle applications by Youness Boumaalif, Hamid Ouadi, Fouad Giri

“…This issue is formulated as a constrained optimization problem, particularly difficult due to the nonlinear and nonconvex relationship between currents and torque. …”
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Protected Turning Movements of Noncooperative Automated Vehicles: Geometrics, Trajectories, and Saturation Flow by Xiaobo Liu, Lijuan Lai, You Kong, Scott Le Vine

“…We first develop a constrained optimization problem based on AVs’ kinematic behavior during a protected signal phase which considers both ABS-enabled and wheels-locked braking, as well as avoiding encroaching into oncoming traffic or past the edge-of-receiving-lane. …”
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Analysis of non scalar control problems for parabolic systems by the block moment method by Boyer, Franck, Morancey, Morgan

“…The considered setting leads to applications to one dimensional parabolic-type equations or coupled systems of such equations.With such admissible control operator, the characterization of the minimal null control time is obtained thanks to the resolution of an auxiliary vectorial block moment problem (i.e. set in the control space) followed by a constrained optimization procedure of the cost of this resolution. …”
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Calibrating Path Choices and Train Capacities for Urban Rail Transit Simulation Models Using Smart Card and Train Movement Data by Baichuan Mo, Zhenliang Ma, Haris N. Koutsopoulos, Jinhua Zhao

“…The results show that the response surface methods (particularly constrained optimization using response surfaces) have consistently good performance under all scenarios. …”
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Fault Detection and Behavior Analysis of Wheelset Bearing Using Adaptive Convolutional Sparse Coding Technique Combined with Bandwidth Optimization by Liu He, Cai Yi, Jianhui Lin, Andy C.C. Tan

“…The mathematical formulation of AUC-DLA-BO is a sort of constrained optimization problem, which can overcome foundation vibration and harmonic interference and adaptively determine parameters related to UC-DLA. …”
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Nonpenalty Machine Learning Constraint Handling Using PSO-SVM for Structural Optimization by Marco M. Rosso, Raffaele Cucuzza, Fabio Di Trapani, Giuseppe C. Marano

“…The obtained results in terms of objective function demonstrate that this new approach represents a valid alternative to solve constrained optimization problems even in structural optimization field. …”
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Multiobjective Core Reloading Pattern Optimization of PARR-1 Using Modified Genetic Algorithm Coupled with Monte Carlo Methods by Nadeem Shaukat, Ammar Ahmad, Bukhtiar Mohsin, Rustam Khan, Salah Ud-Din Khan, Shahab Ud-Din Khan

“…The developed strategy can be applied for the constrained optimization of research and power reactor cores. …”
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Weighted and Well-Balanced Nonlinear TV-Based Time-Dependent Model for Image Denoising by Khursheed Alam, Alka Chauhan, Santosh Kumar

“…TV denoising algorithm is based on that signals with spurious detail have a high total variation and reduction of unwanted signals to achieve noise-free images. It is a constrained optimization-type algorithm. The Lagrange multiplier and gradient descent method are used to solve the TV algorithm to reach the PDE-based time dependent model. …”
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A Simple Exact Penalty Function Method for Optimal Control Problem with Continuous Inequality Constraints by Xiangyu Gao, Xian Zhang, Yantao Wang

“…On this basis, a simple exact penalty function method is used to transform the constrained optimal parameter selection problem into a sequence of approximate unconstrained optimal control problems. …”
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Discretization of Optimal Control Problems Governed by p-Laplacian Elliptic Equations by Shu Luan

“…In this paper, a state-constrained optimal control problem governed by p-Laplacian elliptic equations is studied. …”
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Complete Solutions to General Box-Constrained Global Optimization Problems by Dan Wu, Youlin Shang

“…Applications to a class of constrained optimal control problems are discussed. Particularly, an analytical form of the optimal control is expressed. …”
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Cognitive Waveform Design for Radar-Communication Transceiver Networks by Yu Yao, Lenan Wu

“…The peak to average power ratio- (PAPR-) constrained optimal solution is achieved by applying the Kalman filtering-based strategy to design the set of ultra-wideband (UWB) transmission pulses and embed into them the information data with the M-ary position phase shift keying modulation technique. …”
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Cognitive waveform design for radar-communication transceiver networks by Yu YAO, Yanjie LI, Lenan WU, Pu MIAO, Xiaoyu TANG

“…The system architecture for cognitive radar-communication (CRC) transceiver was proposed.A cognitive waveforms design approach, which is suitable for simultaneously performing both data communication and target detection was presented.This approach aims at estimating target scattering coefficient (TSC) from the radar scene and facilitating high-data-rate communications.In order to minimize the mean square error (MSE) of the TSC, a convex cost function was established.The peak to average power ratio (PAPR)-constrained optimal solution was achieved by applying the Kalman filtering-based strategy to design the set of ultra-wideband (UWB) transmission pulses and embed into them the information data with the M-ary position phase shift keying modulation technique.In addition to theoretical considerations, the simulation results show an improvement in TSC estimation and target detection probability as the number of iterations increases, while still transmitting data rates in the range of several Mbit/s with low bit error rates between CRC transceivers.…”
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