Numerical Optimization - Science topic

In the current most evolved design concept of a machine for accelerating and colliding muons, there exists two long ( $\sim$ 1km) channels for cooling newly created muons and anti-muons. Termed the ‘6D cooling channels’, the beam is cooled in momentum and position space using a series of alternating polarity solenoids which create an oscillating f...

We demonstrate the ability of large language models (LLMs) to perform iterative self-improvement of robot policies. An important insight of this paper is that LLMs have a built-in ability to perform (stochastic) numerical optimization and that this property can be leveraged for explainable robot policy search. Based on this insight, we introduce th...

Traditional optimization algorithms often face challenges when addressing the complexity and expense associated with global optimization problems and engineering challenges. This study introduces a variation of the Pathfinder Algorithm (PFA) called the Quadratic Interpolated Hybridized Pathfinder Algorithm (QHIPFA), which incorporates enhancement t...

In many interactive systems, user input initializes and launches an iterative optimization procedure. The goal is to provide assistive feedback to some creation/editing process. Examples include constraint‐based GUI layout and complex snapping scenarios. Many geometric problems, such as fitting a shape to data, involve optimizations which may take...

The Educational Competition Optimizer (ECO) is a newly proposed human-based metaheuristic algorithm. It derives from the phenomenon of educational competition in society with good performance. However, the basic ECO is constrained by its limited exploitation and exploration abilities when tackling complex optimization problems and exhibits the draw...

Optimizing gas lift is essential for improving oil extraction from wells that have reduced reservoir pressures. Various factors, such as natural production decline, increasing water cuts, and fluctuating gas-oil ratios, necessitate advanced optimization methods to maintain and boost profitability. Successful production optimization depends on thoug...

In real-time systems optimization, designers often face a challenging problem posed by the non-convex and non-continuous schedulability conditions, which may even lack an analytical form to understand their properties. To tackle this challenging problem, we treat the schedulability analysis as a black box that only returns true/false results. We pr...

In recent years, optimization algorithms have developed rapidly, especially those which introduce quantum ideas, which perform excellently. Inspired by quantum thought, this paper proposes a quantum dynamics framework (QDF) which converts optimization problems into the problem of the constrained ground state of the quantum system and analyzes optim...

The primary objective of this study is to present a new technique and library designed to validate the outcomes of numerical methods used for addressing various issues. This paper specifically examines the reverse osmosis (RO) model, a well-known water purification system. A crucial aspect of this problem involves solving an integral that is part o...

The structure of artificial neural networks and the biological nervous systems serve as the foundation for the creation of the neural network algorithm (NNA). The robust global search capability of NNAs makes it an effective tool for solving a wide range of complex optimization problems. Unfortunately, its limited relevance to many optimization pro...

Numerous optimization problems exist in the design and operation of power systems, critical for efficient energy use, cost minimization, and system stability. With increasing energy demand and diversifying energy structures, these problems grow increasingly complex. Metaheuristic algorithms have been highlighted for their flexibility and effectiven...

As technology continues to advance and modern lifestyles become increasingly mechanized, the prevalence of heart disease is steadily growing. On the other hand, donor hearts ready for transplantation are limited worldwide. Therefore, blood pumps are a suitable alternative to help the patient during the waiting period and even until the end of life....

The statistical tool of Taguchi L9 array has been conducted to obtain the optimized parameters for the absorber and window layer, then was applied to p-CuO/n-ZnO/AZO/ITO semitransparent thin film solar cell model. The highlighted work achieves the best value for doping variation level and thickness. Based on the output of results shows that the per...

Introduction: Micro-perforated panel (MPP) absorbers are emerging as next-generation absorbers due to their considerable advantages. However, their main drawback compared to other absorbers is their limited bandwidth. This study aims to investigate methods for enhancing the bandwidth of an MPP in the frequency range of 1 to 1500 Hz through simulati...

We consider a parametric quasi-variational inequality (QVI) without any convexity assumption. Using the concept of optimal value function, we transform the problem into that of solving a nonsmooth system of inequalities. Based on this reformulation, new coderivative estimates as well as robust stability conditions for the optimal solution map of th...

This paper presents the development of a Yagi antenna optimized for third-order mode operation within the millimeter-wave (mmWave) spectrum. A third-order mode driven dipole, along with a reflector, is introduced to enhance the antenna’s gain. The rigorous numerical optimization procedure was employed to precisely adjust the dimensions and position...

This paper illustrates a method for measuring the parameters of a sinewave by using information about both the codes and threshold levels in a quantizer. It is shown that by adding knowledge about the threshold levels, the input signal parameters can still be recovered when very coarse quantization is applied in a case when the conventional three-p...

Photovoltaic performance modeling accuracy depends heavily on the quality of the input parameters. When relying on generic PAN files and datasheets, the input parameters often fail to accurately capture the behavior of every module with the same model number. Therefore, there is a need for methods to generate more accurate input data. In this study...

China established a coal power capacity payment mechanism to allow coal power to play a fundamental supporting and regulating role. It is difficult to generate peak power for long periods. The effects of variation in over-fire air ratio and burner deflection angle were investigated to optimize combustion conditions at half load. This simulation is...

Beluga whale optimization (BWO) is a swarm-based metaheuristic algorithm inspired by the group behavior of beluga whales. BWO suffers from drawbacks such as an insufficient exploration capability and the tendency to fall into local optima. To address these shortcomings, this paper proposes augmented multi-strategy beluga optimization (AMBWO). The a...

The Joule heat generated by current flow between electrodes in a resistance furnace not only melts and heats the charge but also induces mixing of the molten material. Increased mixing promotes improved chemical and temperature uniformity within the bath. This paper presents a novel approach to effectively optimizing electrode geometry in resistanc...

A growing number of scholars are drawn to using numerical approaches powered by computer simulations as a potential solution to industrial problems. Replicating the compaction process in powder metallurgy with accuracy is one such issue. The Drucker-Prager-Cap model requires parameter calibration as the most used method for simulating powder compac...

This study explores how AI-driven optimization can help lower the carbon footprint of the fashion industry's supply chain. By using advanced AI models, the research delves into sustainable strategies across core areas—sourcing, production, logistics, and retail—focusing on reducing emissions, energy use, water consumption, and waste. Techniques lik...

This article presents a new approach to the implementation of a quantum-inspired genetic algorithm for numerical optimization to find the global maximum of the objective function based on high-dimensional quantum states by simulating the performance of quantum calculations under the influence of the NISQ-era quantum decoherence process. In order to...

Functionally graded materials (FGMs) are heterogeneous composites characterized by outstanding properties. They are built from two or more components with a gradient distribution of chemical composition along a given direction. A promising graded material for biomedical engineering as an implant could be a FGM made of titanium (Ti) and hydroxyapati...

Numerous Optimization Algorithms have a time-varying update rule thanks to, for instance, a changing step size, momentum parameter or, Hessian approximation. In this paper, we apply unrolled or automatic differentiation to a time-varying iterative process and provide convergence (rate) guarantees for the resulting derivative iterates. We adapt thes...

Neural network algorithms are similar in structure to the human mind, they work in the same way as the mind works in transmitting, processing and analyzing information, reaching conclusions, discovering patterns and predictions and we can apply some of what the natural mind applies, although scientists are still discovering more about it until now...

In this paper, we use elementary methods to derive a rational function over the integers to approximate the trigonometric sine function on the interval 0, π 2. This formula can then be used to derive a quartic polynomial with a root close to π 3 , providing an interesting algebraic approximation to this value. A more accurate rational function over...

The paper proposes a representation of arguments and adjuncts in terms of probability value vectors, and presents a method to calculate argument structure solely based on information available in the corpus. The method can be extended to verbs with multiple argument structures, where argument structure variations associated with the same verb need...

Aiming at solving the problems of the high cost of manual pulling, the low reliability of existing pulling devices, and the high breaking rates and high leakage rates in the process of cotton stalk reuse after removal from the field in the Xinjiang cotton area, a soil-loosening and root-cutting cotton stalk pulling and gathering machine was researc...

Full waveform inversion (FWI), a powerful geophysical technique for subsurface imaging through seismic velocity-model construction, relies on numerical optimization, thus requiring the computation of derivatives for an objective function. This paper proposes a discrete development for accurate computation of the gradient and Hessian-vector product,...

This paper introduces a novel non-smooth numerical optimization approach for solving the Three-Point Dubins Problem (3PDP). The 3PDP requires determining the shortest path of bounded curvature that connects given initial and final positions and orientations while traversing a specified waypoint. The inherent discontinuity of this problem precludes...

As optimization challenges continue to evolve, so too must our tools and understanding. To effectively assess, validate, and compare optimization algorithms, it is crucial to use a benchmark test suite that encompasses a diverse range of problem instances with various characteristics. Traditional benchmark suites often consist of numerous fixed tes...

A recently created optimization algorithm named the Dynamic Hunting Leadership (DHL) algorithm was inspired by the leadership tactics used in hunting operations. The foundation of DHL is the idea that successful leadership can significantly increase hunting endeavors. Although DHL has shown to be relatively simple and successful in tackling a varie...

Much research and practical experience have shown that the utilization of textures has an enhancing effect on the performance of dynamic seals and the dynamic pressure lubrication of gas bearings. In order to optimize the performance of floating ring seals, this study systematically analyzes the effects of different texture shapes and their paramet...

This study presents a fractional-order SVICR (Susceptible–Vaccinated–Infected–Carrier–Recovered) model for analyzing the transmission dynamics of the Hepatitis B Virus (HBV), utilizing the Atangana–Baleanu–Caputo (ABC) operator to account for memory-dependent biological processes. The model integrates key epidemiological features including vertical...

The crayfish optimization algorithm (COA), proposed in 2023, is a metaheuristic optimization algorithm that is based on crayfish’s summer escape behavior, competitive behavior, and foraging behavior. COA has a good optimization performance, but it still suffers from the problems of slow convergence speed and sensitivity to the local optimum. To sol...

This paper introduces a novel competitive mechanism into differential evolution (DE), presenting an effective DE variant named competitive DE (CDE). CDE features a simple yet efficient mutation strategy: DE/winner-to-best/1. Essentially, the proposed DE/winner-to-best/1 strategy can be recognized as an intelligent integration of the existing mutati...

Model-based parameter estimation, identification, and optimisation play a dominant role in many aspects of physical and operational processes in applied sciences, engineering, and other related disciplines. The intricate task involves engaging and fitting the most appropriate parametric model with nonlinear or linear features to experimental field...

The genetic algorithm for numerical optimization (GA) of the metaheuristic class is a method for finding optimal solutions based on the biological principles of natural selection and variability. GA is characterized by high operating speed, resistance to noise in the data, low probability of hitting the local extremum of the multimodal objective fu...

An intelligent optimization technology was proposed to mitigate prevalent multi-defects, particularly failure, wrinkling, and springback in sheet metal forming. This method combined deep neural networks (DNNs), genetic algorithms (GAs), and Monte Carlo simulation (MCS), collectively as DNN-GA-MCS. Our primary aim was to determine intricate process...

The efficient and clean utilization of urban waste can substitute for partial fossil fuels and reduce total carbon emissions. Fuel combustion is divided into three stages. Before the fire, the fuel is put into the furnace to reach the preparation stage of the fire temperature, the combustion stage takes place after the ignition temperature is reach...

Conventional beamforming methods for reconfigurable reflector antennas assume full control over the amplitude and phase of the reflected field. Here, we develop a novel beamforming methodology for reflecting Programmable Metasurfaces (PMS) with capacitive memory. Although utilizing such fully reactive PMS simplifies antenna design and reduces energ...

A new memetic metaheuristic optimizer, hybridizing the classical Slime Mould Optimization Algorithm (SMA) with Harris hawk’s Optimizer (HHO), is developed. The proposed hSMA-HHO is based on SMA- a swarm-inspired population metaheuristics algorithm with a notable approach in global optimization and HHO- a nature-inspired algorithm based on the suppo...

This study sought to improve the nutritional, functional and biochemical properties of pearl millet through malting and fermentation. Moringa oleifera leaf powder (MLP) was used as a fortificant. Mixture design was used to find optimal proportions for each of the components that yield a high protein and or low saturated fat content. Twelve mixtures...

This paper presents the optimization and aerodynamic performance of a Formula SAE vehicle nose cone. The purpose of the study is to minimize drag while simultaneously enhancing downforce to improve traction and acceleration of the vehicle. Numerous CAD models of the nose cone were developed, taking into account factors such as chassis dimensions, g...

The artificial bee colony (ABC) algorithm, inspired by the cooperative foraging behaviors observed in bees, is a prominent example of a swarm intelligence algorithm that offers significant advantages in optimization problems. However, the efficacy of the ABC algorithm is limited in high-dimensional scenarios or when handling multimodal functions, w...

This research provides a practical and feasible retrofitting solution for soft story in reinforced concrete (RC) buildings with masonry infill walls for example in Nepal through numerical analysis. It is well understood that stiffness and strength of the soft story floor can be increased significantly by adding RC shear wall in the frame opening of...

A numerical optimization technique of a three-dimensional (3D) SERS substrate with finite element analysis is proposed. Using the optical reciprocity theorem, we have shown that instead of the well-known local field enhancement criterion, it is more correct to use the Purcell factor as an objective function that determines the quality of the SERS s...

As science and technology advance, the need for novel optimization techniques has led to an increase. The recently proposed metaheuristic algorithm, Gradient-based optimizer (GBO), is rooted in the gradient-based Newton's method. GBO has a more concrete theoretical foundation. However, GSR and LEO operators in GBO still have some shortcomings. The...

Controlling an object containing a nonlinear element with hysteresis in its mathematical model is an extremely difficult task. In some cases, it is possible to control nonlinear objects using the sliding mode method, but this method is completely unsuitable if there is a pure delay in the object model, since the delay does not allow very fast switc...

In this study, the input factors (PVC, rattan, plantain peduncle, and temperature) and the responses (flexural strength and modulus of elasticity) of an experimental design to reinforce PVC composite were investigated. The assessment of suitability and ultimately the choice of the models were done based on the values of statistical parameters like...

This paper intends to study, investigate, and optimize the effect of aspect ratio such as width and height on the dynamic behavior of a plate in terms of frequency and mode shapes. The research involves simulating and building plate models using ANSYS software. Modal analysis is adopted to predict the dynamic behavior of the plate. MATLAB code is d...

Robotic manipulation in the agri-food industry faces several issues, including object variation, fragility and food safety. Underactuated flexure-based gripper allow passive adaptation to object variation, whilst monolithic flexure joints drive down cost, part-count, hygiene requirements, contamination and wear. However, designing flexure-based gri...

The automation of current crocheting technology offers many possibilities. To fully exploit this potential, it is necessary to develop not only hardware, but also methods that enable the design of novel machine-crocheted fabrics. In the case of manual crocheting, approaches for an automated generation of crochet patterns according to 3D shapes have...

Differential evolution (DE) has shown remarkable performance in solving continuous optimization problems. However, its optimization performance still encounters limitations when confronted with complex optimization problems with lots of local regions. To address this issue, this paper proposes a dual elite groups-guided mutation strategy called “DE...

The Mayfly Optimization Algorithm (MOA), as a new biomimetic metaheuristic algorithm with superior algorithm framework and optimization methods, plays a remarkable role in solving optimization problems. However, there are still shortcomings of convergence speed and local optimization in this algorithm. This paper proposes a metaheuristic algorithm...

NASA N3-X Hybrid wing body aircraft has analysed for optimization of turboelectric distributed propulsion system mounted over aft portion of the fuselage. Here the aircraft configuration has increased strength and reduced weight. The CATIA model of N3-X has designed with 8, 12 and 16 propeller over the fuselage. The 3D meshing of aircraft meshed in...

In this paper, the optimization of the flow channel structure of the U-shaped air distributor is proposed. Fluent meshing was used to mesh the multipatch meshing of the original model of the grid air distributor, and then the CFD numerical simulation was carried out by using Fluent 2022R1 to obtain the internal air flow state of the air distributor...

In this study, a hybrid organic–inorganic perovskite solar cell (PSC) based on methylammonium germanium triiodide (MAGeI3), which is composed of methylammonium (CH3NH3+) cations and germanium triiodide (GeI3−) anions, has been numerically studied using SCAPS-1d codes. An extensive investigation of various electron transport layers (ETLs) and hole t...

Differential evolution (DE) is one of the most popular and widely used optimizers among the community of evolutionary computation. Despite numerous works having been conducted on the improvement of DE performance, there are still some defects, such as premature convergence and stagnation. In order to alleviate them, this paper presents a novel DE v...

Harris Hawks Optimization (HHO) is a novel meta-heuristic algorithm that imitates the predation characteristics of Harris Hawk and combines Lévy flight to solve complex multidimensional problems. Nevertheless, the basic HHO algorithm still has certain limitations, including the tendency to fall into the local optima and poor convergence accuracy. C...

Lithium-ion battery technology in the modern automotive industry utilizes highly temperature-sensitive batteries. Here, air cooling strategies will be the most applicable for the chosen example based on strategies for temperature control. Simulations have been utilized to evaluate the different thermal management strategies. A battery model was dev...

In modern high-volume industries, the serial production line (SPL) is of growing importance due to the inexorable increase in the complexity of manufacturing systems and the associated production costs. Optimal decisions regarding buffer size and the selection of components when designing and implementing an SPL can be difficult, often requiring co...

Partition piles are widely used in tunnel displacement control under excavation. However, the control effect of partition piles has not been systematically studied, and the centrifuge model test is lacking. In view of this situation, the centrifuge model test design of the deformation of the adjacent existing tunnel caused by the excavation in term...

Differential evolution is an evolutionary algorithm that is used to solve complex numerical optimization problems. Differential evolution balances exploration and exploitation to find the best genes for the objective function. However, finding this balance is a challenging task. To overcome this challenge, we propose a clustering-based mutation str...

Retrofitting retirement or existing fossil boiler with biomass is an important method of curbing electricity shortage and lowering the cost of modern power plants. However, the use of biomass combustion is hampered by operational problems, such as the resulting high unburned carbon, amount of bottom ash, and nitrogen oxide (NOx) release. In this st...

Promoting the use of solar energy resources has always involved the challenges of instability and supply–demand mismatch. The key to solving these issues is to efficiently store and utilize solar energy resources using high-performance heat storage devices. This study designed a high-performance shell-and-tube phase-change thermal storage device an...

Custard powder is a relatively shelf-stable, fine textured, dry-formulated, carbohydrate-rich breakfast food product primarily made from corn starch with the addition of salt, flavoring, and coloring agents and with or without the inclusion of egg yolk solids, vitamins, and minerals. The aim of this study was to formulate, characterize, and optimiz...

The aim of the present study is to formulate highly permeable carriers (i.e., transethosomes) for enhancing the delivery of prednisolone combined with tacrolimus for both topical and systemic pathological conditions. A Box–Behnken experimental design was implemented in this research. Three independent variables: surfactant concentration (X1), ethan...

Genetic Algorithm (GA) is a popular meta-heuristic evolutionary algorithm that uses stochastic operators to find optimal solution and has proved its effectiveness in solving many complex optimization problems (such as classification, optimization, and scheduling). However, despite its performance, popularity and simplicity, not much attention has b...

Improving the thermal efficiency of truck diesel engines requires comprehensive optimization of the engine, exhaust aftertreatment (EAT), and possible waste heat recovery (WHR). Lower exhaust temperature at mid and low working points has caused difficulty in both emission clarification and heat recovery, which requires thermal management. Based on...

Promoting the use of solar energy resources has always faced the challenges of instability and supply-demand mismatch. The key to solving these issues is to efficiently store and utilize solar energy resources using high-performance heat storage devices. This study designed a high-performance shell-and-tube phase change thermal storage device and e...

This paper presents the design procedure of an efficient compact monolithic microwave integrated circuit power amplifier (MMIC PA) in a 0.1 μm GaN-on-Si process for 5G millimeter-wave communication. Load/source-pull simulations were conducted to correctly create equivalent large-signal matching models for stabilized power cells and to determine the...

In this work, we studied convergence rates using quotient convergence factors and root convergence factors, as described by Ortega and Rheinboldt, for Hestenes’ Gram–Schmidt conjugate direction method without derivatives. We performed computations in order to make a comparison between this conjugate direction method, for minimizing a nonquadratic f...

Featured Application The algorithm proposed in this paper can be widely used in many fields, such as combinatorial optimization, parameter tuning, path planning, etc. Abstract The beetle antennae search (BAS) algorithm is an outstanding representative of swarm intelligence algorithms. However, the BAS algorithm still suffers from the deficiency of...

The reduction in energy consumption and the increasingly demanding emissions regulations have become strategic challenges for every industrial sector. In this context, the glass industry would be one of the most affected sectors due to its high energy demand and emissions productions, especially in terms of NOx. For this reason, various emission ab...