Optimal scalable redeployment algorithm of relay nodes in wireless sensor networks by Bin ZENG, Jun WEI, Lu YAO

“…A relay node redeployment algorithm was proposed to find the optimal location of redeployment relay node when an existed relay node was overloaded considering the multi-dimensional localization and bandwidth constraint.The algorithm translated the redeployment problem into the optimal location planning in a multi-dimensional Euclidean space and then gave the suitable redeployment plan through searching the intersections of transmission areas heuristically.The correctness and completeness of the algorithm were proved.Furthermore,an optimization method was proposed to reduce the complexity of the algorithm to the linear function of the number of sensor nodes.The simulation results show that the algorithm can balance the loads of the overloaded relay nodes by joining in the candidate nodes and then prolong the network lifetime.…”
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Optimal scalable redeployment algorithm of relay nodes in wireless sensor networks by Bin ZENG, Jun WEI, Lu YAO

“…A relay node redeployment algorithm was proposed to find the optimal location of redeployment relay node when an existed relay node was overloaded considering the multi-dimensional localization and bandwidth constraint.The algorithm translated the redeployment problem into the optimal location planning in a multi-dimensional Euclidean space and then gave the suitable redeployment plan through searching the intersections of transmission areas heuristically.The correctness and completeness of the algorithm were proved.Furthermore,an optimization method was proposed to reduce the complexity of the algorithm to the linear function of the number of sensor nodes.The simulation results show that the algorithm can balance the loads of the overloaded relay nodes by joining in the candidate nodes and then prolong the network lifetime.…”
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Necessary Conditions for Weak Sharp Minima in Cone-Constrained Optimization Problems by W. Y. Zhang, S. Xu, S. J. Li

“…We study weak sharp minima for optimization problems with cone constraints. Some necessary conditions for weak sharp minima of higher order are established by means of upper Studniarski or Dini directional derivatives. …”
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Pontryagin’s Principle-Based Algorithms for Optimal Control Problems of Parabolic Equations by Weilong You, Fu Zhang

“…This paper applies the Method of Successive Approximations (MSA) based on Pontryagin’s principle to solve optimal control problems with state constraints for semilinear parabolic equations. …”
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Sequential approximate optimality conditions for a constrained convex vector minimization problem and application to multiobjective fractional programming problem by A. Ed-dahdah, M. Laghdir, M. Echchaabaoui, M. Mabrouk

“…The aim of this paper is to establish sequential necessary and sufficient approximate optimality conditions for a constrained convex vector mini-mization problem without any constraint qualifications, characterizing the approximate proper and weak efficient solutions. …”
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An Improvement of the Alternating Direction Method of Multipliers to Solve the Convex Optimization Problem by Jingjing Peng, Zhijie Wang, Siting Yu, Zengao Tang

“…The alternating direction method is one of the attractive approaches for solving convex optimization problems with linear constraints and separable objective functions. …”
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Improving the Solving of Optimization Problems: A Comprehensive Review of Quantum Approaches by Deborah Volpe, Giacomo Orlandi, Giovanna Turvani

“…It demonstrates their application to real-world scenarios and outlines the steps to convert generic optimization problems into quantum-compliant models. …”
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The Patch-Levy-Based Bees Algorithm Applied to Dynamic Optimization Problems by Wasim A. Hussein, Siti Norul Huda Sheikh Abdullah, Shahnorbanun Sahran

“…Many real-world optimization problems are actually of dynamic nature. …”
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Backward Anticipated Social Optima: Input Constraints and Partial Information by Shujun Wang

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Inductive Construction of Variational Quantum Circuit for Constrained Combinatorial Optimization by Hyakka Nakada, Kotaro Tanahashi, Shu Tanaka

“…Unfortunately, many optimization problems have constraints, which induces infeasible solutions during VQE process. …”
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Lagrangian duality in quantum optimization: Overcoming QUBO limitations for constrained problems by Einar Gabbassov, Gili Rosenberg, Artur Scherer

“…Within the setting of circuit-model fault-tolerant quantum computation, we demonstrate that this approach achieves a quadratic improvement in circuit depth and maintains a constraint-independent circuit width in contrast with the prevalent approach of solving constrained problems via reformulations based on the quadratic unconstrained binary optimization (QUBO) framework. …”
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Generalized Shortest Path Problem: An Innovative Approach for Non-Additive Problems in Conditional Weighted Graphs by Adrien Durand, Timothé Watteau, Georges Ghazi, Ruxandra Mihaela Botez

“…This complexity becomes even more challenging when constraints make the problem non-additive, thereby increasing the difficulty of finding the optimal path. …”
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Explicitly Constrained Black-Box Optimization With Disconnected Feasible Domains Using Deep Generative Models by Naoki Sakamoto, Rei Sato, Kazuto Fukuchi, Jun Sakuma, Youhei Akimoto

“…Numerical experiments using a test problem and a topology optimization problem show that the proposed method can find feasible domains with better objective function values and higher probability than both conventional decoder-based constraint-handling methods and non-decoder-based constraint-handling methods.…”
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Optimal AC Power Flow with Energy Storage and Renewable Energy: An Efficient RL Algorithm Capable of Handling Equality Constraints by Mingde Liu, Jianquan Zhu, Mingbo Liu

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An Active-Set Algorithm for Convex Quadratic Programming Subject to Box Constraints with Applications in Non-Linear Optimization and Machine Learning by Konstantinos Vogklis, Isaac E. Lagaris

“…A quadratic programming problem with positive definite Hessian subject to box constraints is solved, using an active-set approach. …”
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Dimensional Synthesis of Parallel Robots Using Bilevel Optimization for Design Optimization and Resolution of Functional Redundancy by Moritz Schappler

“…The framework produces many possible task-optimal structures despite numerous constraints and can be applied to other problems as an open-source <span style="font-variant: small-caps;">Matlab</span> toolbox.…”
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AN ALGORITHM FOR COMPUTING BOUNDARY POINTS OF REACHABLE SETS OF CONTROL SYSTEMS UNDER INTEGRAL CONSTRAINTS by Mikhail I. Gusev

“…Under  controllability assumptions it was  proved [8] that any admissible control, that steers the control system to the boundary of its reachable set, is a local solution to an optimal control problem with an integral cost functional and terminal constraints. …”
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A Novel Optimization Algorithm Inspired by Egyptian Stray Dogs for Solving Multi-Objective Optimal Power Flow Problems by Mohamed H. ElMessmary, Hatem Y. Diab, Mahmoud Abdelsalam, Mona F. Moussa

“…One of the most important issues that can significantly affect the electric power network’s ability to operate sustainably is the optimal power flow (OPF) problem. It involves reaching the most efficient operating conditions for the electrical networks while maintaining reliability and systems constraints. …”
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An Extensive Study Using the Beetle Swarm Method to Optimize Single and Multiple Objectives of Various Optimal Power Flow Problems by K. Sriram, S. P. Mangaiyarkarasi, S. Sakthivel, L. Jebaraj

“…This article deals with the use of beetle swarm optimization algorithm (BSOA), for optimal power flow (OPF) solution, in an effective approach. …”
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An Integrated Optimization Method for Resource-Constrained Schedule Compression Under Uncertainty in Construction Projects by Firas Takleef, Omar Ayadi, Faouzi Masmoudi

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