Frameworks and Results in Distributionally Robust Optimization by Rahimian, Hamed, Mehrotra, Sanjay

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Optimization of Data Distributed Network System under Uncertainty by Laxminarayan Sahoo, Supriyan Sen, Kalishankar Tiwary, Sovan Samanta, Tapan Senapati

“…The major network design or data distributed problems may be described as constrained optimization problems. Constrained optimization problems include restrictions imposed by the system designers. …”
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Optimal Design of Damped Structure with Inerter System Based on Modified Harmony Search Algorithm by Chao Pan, Xiao Han, Hao Wang, Dengke Yang, Li Zhang

“…Then, the mathematical expression of the constrained optimization problem is established. Due to the inefficiency of the original harmony search algorithm to solve the constrained optimization problem, the algorithm is modified by introducing a new harmony generating method and an adaptive strategy for parameter adjustment. …”
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Optimal Dynamics Control in Trajectory Tracking of Industrial Robots Based on Adaptive Gaussian Pseudo-Spectral Algorithm by Jing Zhang, Xiaokai Zhu, Te Chen, Guowei Dou

“…On the basis of deriving the Legendre–Gauss collocation formula, a two-stage adaptive Gauss collocation strategy for industrial robot dynamics control variables was designed to improve the dynamics optimization control effect of industrial robot by improving the solution efficiency of constrained optimization problems. The results show that compared with the control variable parameterization method and the traditional Gaussian pseudo-spectral method, the proposed dynamic optimal control method based on an adaptive Gaussian point reconstruction algorithm can effectively improve the solving time and efficiency of constrained optimization problems, thereby further enhancing the dynamic optimization control and trajectory tracking effect of industrial robots.…”
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Applying Hybrid PSO to Optimize Directional Overcurrent Relay Coordination in Variable Network Topologies by Ming-Ta Yang, An Liu

“…In power systems, determining the values of time dial setting (TDS) and the plug setting (PS) for directional overcurrent relays (DOCRs) is an extremely constrained optimization problem that has been previously described and solved as a nonlinear programming problem. …”
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Polynomial algorithms for projecting a point onto a region defined by a linear constraint and box constraints in ℝn by Stefan M. Stefanov

“…Such problems are interesting because they arise in various practical problems and as subproblems of gradient-type methods for constrained optimization. Polynomial algorithms are proposed for solving these problems and their convergence is proved. …”
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Second-Order Multiplier Iteration Based on a Class of Nonlinear Lagrangians by Yong-Hong Ren

“…Nonlinear Lagrangian algorithm plays an important role in solving constrained optimization problems. It is known that, under appropriate conditions, the sequence generated by the first-order multiplier iteration converges superlinearly. …”
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Optimization of the Forcing Term for the Solution of Two-Point Boundary Value Problems by Gianni Arioli

“…Then the minimization problem becomes purely algebraic and can be solved by standard methods of constrained optimization, for example, with Lagrange multipliers. …”
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Optimization on Production-Inventory Problem with Multistage and Varying Demand by Duan Gang, Chen Li, Li Yin-Zhen, Song Jie-Yan, Akhtar Tanweer

“…A nonlinear hybrid integer constrained optimization is modeled to minimize the total cost including setup cost and holding cost in the planning horizon. …”
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Objective penalty function method for nonlinear programming with inequality constraints by Zhuolin Yan, Xiaowei Jiang, Siyao Wang

“…This paper presents a novel nonsmooth objective penalty function for inequality constrained optimization problems. A modified flattened aggregate function, which is a smooth approximation of the max-value function, is discussed. …”
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A Cooperative Coevolutionary Cuckoo Search Algorithm for Optimization Problem by Hongqing Zheng, Yongquan Zhou

“…Taking inspiration from an organizational evolutionary algorithm for numerical optimization, this paper designs a kind of dynamic population and combining evolutionary operators to form a novel algorithm, a cooperative coevolutionary cuckoo search algorithm (CCCS), for solving both unconstrained, constrained optimization and engineering problems. A population of this algorithm consists of organizations, and an organization consists of dynamic individuals. …”
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Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm by Muhammad Sulaiman, Waseem, Shakoor Muhammad, Asfandyar Khan

“…It is a complex and highly nonlinear constrained optimization problem. In this problem, we have two types of design variables, which are variables for plug settings (PSs) and the time dial settings (TDSs) for each relay in the circuit. …”
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An Elitist Transposon Quantum-Based Particle Swarm Optimization Algorithm for Economic Dispatch Problems by Angus Wu, Zhen-Lun Yang

“…It is a complex and highly nonlinear constrained optimization problem. The proposed approach, double elitist breeding quantum-based particle swarm optimization (DEB-QPSO), makes use of two elitist breeding strategies to promote the diversity of the swarm so as to enhance the global search ability and an improved efficient heuristic handling technique to manage the equality and inequality constraints of ED problems. …”
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A Prediction-Correction Dynamic Method for Large-Scale Generalized Eigenvalue Problems by Xin-long Luo, Jia-ru Lin, Wei-ling Wu

“…First, the smallest generalized eigenvalue problem is converted into an equivalent-constrained optimization problem. Second, according to the Karush-Kuhn-Tucker conditions of this special equality-constrained problem, a special continuous dynamical system of differential-algebraic equations is obtained. …”
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Graph-Based Symbolic Technique and Its Application in the Frequency Response Bound Analysis of Analog Integrated Circuits by E. Tlelo-Cuautle, S. Rodriguez-Chavez, A. A. Palma-Rodriguez

“…The derived H(s) of a given analog IC is used to compute the frequency response bounds (maximum and minimum) associated to the magnitude and phase of H(s), subject to some ranges of process variational parameters, and by performing nonlinear constrained optimization. Our simulations demonstrate the usefulness of the new GBST for deriving the exact symbolic expression for H(s), and the last section highlights the good agreement between the frequency response bounds computed by our variational analysis approach versus traditional Monte Carlo simulations. …”
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Online Coregularization for Multiview Semisupervised Learning by Boliang Sun, Guohui Li, Li Jia, Kuihua Huang

“…We propose a novel online coregularization framework for multiview semisupervised learning based on the notion of duality in constrained optimization. Using the weak duality theorem, we reduce the online coregularization to the task of increasing the dual function. …”
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Energy Balanced Scheduling for Target Tracking with Distance-Dependent Measurement Noise in a WSN by Xiaoqing Hu, Ming Bao, Yu-Hen Hu, Bugong Xu

“…This is formulated as a multiobjective constrained optimization problem that minimizes both the state covariance of the GUKF algorithm and the variance of on-board residue energy of sensor nodes within the detection range of the target. …”
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New Robust Part-Based Model with Affine Transformations for Facial Landmark Localization and Detection in Big Data by Chentao Zhang, Habte Tadesse Likassa, Peidong Liang, Jielong Guo

“…Moreover, the search of the optimal parameters and affine transformations is cast as a constrained optimization programming. To mitigate the computations, a new set of equations is derived to update the parameters involved and the affine transformations iteratively in a round-robin manner. …”
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Optimal Pattern Synthesis of Linear Antenna Array Using Grey Wolf Optimization Algorithm by Prerna Saxena, Ashwin Kothari

“…It has potential to exhibit high performance in solving not only unconstrained but also constrained optimization problems. In this work, GWO has been applied to linear antenna arrays for optimal pattern synthesis in the following ways: by optimizing the antenna positions while assuming uniform excitation and by optimizing the antenna current amplitudes while assuming spacing and phase as that of uniform array. …”
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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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