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An active specification switching strategy that aids in solving nonlinear sets and improves a VNS/TA hybrid optimization methodology
Affiliation:1. Maestría de Investigación en Electrónica mención Automática, Centro de Posgrados, Universidad de las Fuerzas Armadas ESPE, 171-5-231B Sangolquí, Ecuador;2. Grupo de investigación en Propagación, Control Electrónico y Networking (PROCONET), Departamento de Eléctrica, Electrónica y Telecomunicaciones, Universidad de las Fuerzas Armadas ESPE, 171-5-231B Sangolquí, Ecuador;3. Department of Electrical Engineering, ESAT, KU Leuven, Agoralaan gebouw B bus 8, 3590 Diepenbeek, Belgium;4. EnergyVille-Thor Park 8310, 3600 Genk, Belgium;1. State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300401, China;2. School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401, China;3. National Engineering Research Center for Technological Innovation Method and Tool, Tianjin 300401, China;4. Science and Technology on Particle Transport Separation Laboratory, Institute of Physical and Chemical Engineering of Nuclear Industry, Tianjin 300180, China;1. Department of Water Engineering, Faculty of Agriculture, University of Tabriz, Iran;2. Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;3. Faculty of Engineering, Shohadaye Hoveizeh Campus of Technology, Shahid Chamran University of Ahvaz, Dashte Azadegan, Iran;4. Department of Water Engineering, Aburaihan Campus, University of Tehran, Tehran, Iran;5. Department of Irrigation and Reclamation Engineering, University of Tehran, Tehran, Iran;6. Center for Water Engineering & Science Research (CFWESR), University of Tabriz, Tabriz, Iran;7. Department of Urban Planning, Engineering Networks and Systems, Institute of Architecture and Construction, South Ural State University, 76, Lenin Prospect, 454080 Chelyabinsk, Russia;8. New era and Development in Civil Engineering Research Group, Scientific Research Center, Al-Ayen University, Thi-Qar 64001, Iraq
Abstract:A method to aid in convergence of nonlinear equations by relocating the solver is introduced. Deactivating known variables and activating intelligently chosen unknown variables at predicted values efficiently formulates initial conditions. This repair strategy is integrated into an optimization procedure. The repair algorithm has the ability to (1) relocate the solver for non-converged models caused by poor initial conditions and (2) utilize points formulated in relocating non-converged models caused by infeasible sets of decision variables as a perturbation phase of a stochastic optimization algorithm. To show the effectiveness of the proposed repair strategy, a hybrid metaheuristic of a Variable Neighborhood Search (VNS) and Threshold Accepting (TA) is tested on the optimization of a large-scale industrial process, the primary units of a crude oil refinery. The performance of the hybrid VNS/TA Metaheuristic with repair is compared to the algorithm without the repair technique.
Keywords:Nonlinear set solutions  Hybrid metaheuristics  Distillation optimization  Stochastic optimization
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