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Optimization Models

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lightbulbAbout this topic
Optimization models are mathematical frameworks used to identify the best solution from a set of feasible alternatives, subject to defined constraints. These models employ techniques from linear programming, nonlinear programming, and other optimization methods to maximize or minimize an objective function, facilitating decision-making in various fields such as economics, engineering, and logistics.
lightbulbAbout this topic
Optimization models are mathematical frameworks used to identify the best solution from a set of feasible alternatives, subject to defined constraints. These models employ techniques from linear programming, nonlinear programming, and other optimization methods to maximize or minimize an objective function, facilitating decision-making in various fields such as economics, engineering, and logistics.

Key research themes

1. How can benchmarking methodologies effectively evaluate and compare optimization software performance?

This research area focuses on developing robust, insightful, and unbiased benchmarking frameworks to evaluate optimization software. Given the diversity of optimization problems, solvers, and performance metrics, accurate benchmarking is critical for guiding algorithm development, understanding solver strengths, and driving improvements. The challenge lies in selecting performance metrics, analysis tools, and interpretation strategies that fairly capture solver efficiency, robustness, and scalability, particularly across large and heterogeneous test sets.

Key finding: Introduced performance profiles as cumulative distribution functions of performance metrics (e.g., runtime ratios relative to best) to benchmark optimization software. Demonstrated that performance profiles mitigate biases... Read more

2. What are the advances and challenges in gradient-based and metaheuristic optimization algorithms for complex real-world problems?

This theme explores algorithmic innovations in solving complex optimization tasks, focusing on gradient-based methods and biologically inspired metaheuristics. Research investigates improving convergence rates, avoiding local optima, computational efficiency, and adapting algorithms to noisy, discontinuous, or multi-modal landscapes. Emphasis lies on developing new operators, inertia weight strategies, hybrid methods, continuous parameter genetic algorithms, and enhancements in gradient-only techniques, targeting engineering, AI, and data-driven applications where problem complexity and uncertainty prevail.

Key finding: Developed an enhanced Gradient-Based Optimization (GBO) algorithm leveraging modified inertia weights and novel operators to accelerate convergence and maintain a balance between global exploration and local exploitation.... Read more
Key finding: Applied Continuous Parameter Genetic Algorithms (GAs) to optimization of nonlinear partial differential equations and subjective cost functions like music generation. The research illustrated the GA's strengths in handling... Read more

3. How do distributed and resource-constrained computational architectures influence optimization and machine learning model deployment?

This theme investigates the intersection of optimization theory, machine learning, and emerging computational paradigms like edge AI and distributed computing. Research focuses on algorithmic adaptations to limited resources (memory, latency, energy), data efficiency (few-shot learning), model compression (Low-Rank Adaptation), and workload/resource scheduling in edge/cloud hybrids. The studies evaluate trade-offs between model accuracy, inference speed, energy consumption, and system integration in practical settings, aiming to optimize performance while respecting real-world constraints.

Key finding: Analyzed the tight coupling between optimization problem formulations and machine learning model training, highlighting how mathematical programming principles and algorithms underpin core ML methods. Emphasized differences... Read more
Key finding: Demonstrated that edge AI architectures substantially reduce inference latency (down to 5-20ms from 100-500ms cloud latency) and bandwidth consumption (up to 90% reduction) through localized processing and optimized... Read more
Key finding: Introduced Low-Rank Adaptation (LoRa) as an efficient fine-tuning strategy for large pretrained deep models by injecting trainable low-rank matrices, drastically reducing parameters updated (e.g., 0.5% in BERT-large) while... Read more
Key finding: Provided empirical evidence that few-shot learning (FSL) fine-tuning methods can significantly reduce training time and energy consumption while maintaining competitive object detection performance on industrial datasets.... Read more
Key finding: Presented novel mathematical models and optimization algorithms (Edge-Adaptive SGD, attention mechanisms, edge-aware compression/quantization) tailored for neural networks deployed on edge devices. Demonstrated through... Read more

All papers in Optimization Models

This master’s thesis analyzes the adoption and implementation of artificial intelligence in organizations in Bosnia and Herzegovina, through the lens of managerial perceptions, organizational capabilities, and sectoral context. The... more
Smart manufacturing environments (digitalized production systems with integrated sensor networks and data analytics capabilities) require advanced predictive maintenance capabilities, yet implementation faces significant barriers due to... more
Machine Learning (ML) is already part of everyday life, powering applications such as Netflix recommendations, Google Maps navigation, and online fraud detection. This article surveys ten practical, real-world use cases of ML, explaining... more
Developing models and algorithms to generate robust project schedules that are less sensitive to disturbances are essential in today's highly competitive uncertain project environments. This paper addresses robust scheduling in project... more
This paper explores how machine learning (ML) is transforming software development by enhancing functionality, decision-making, and performance across diverse industries. It details methodologies for integrating ML models into software... more
Discovery of the optimal best possibility of location for facilities is the central problem associated in logistics management. The optimal places for the distribution centres (DCs) can be based on the selected attributes that are crucial... more
Developing models and algorithms to generate robust project schedules that are less sensitive to disturbances are essential in today's highly competitive uncertain project environments. This paper addresses robust scheduling in project... more
Edge AI represents a transformative shift in artificial intelligence deployment, moving computational intelligence from centralized cloud infrastructure to distributed edge devices and servers. This paradigm evolution addresses critical... more
This article employs a hydro-economic optimization model to analyze the effects of the Grand Ethiopian Renaissance Dam on the distribution and magnitude of benefits in the Eastern Nile. Scenarios are considered based on plausible... more
In recent years, reinforcement learning (RL) has garnered increasing attention for its applications in various domains, including finance, robotics, and healthcare. One critical area in healthcare where RL has shown potential is the... more
Our study aims to assess the impact of integrating environmental, social, and governance (ESG) criteria into the portfolio optimization process in Morocco, providing practical information for socially responsible (SR) investors through... more
Developing models and algorithms to generate robust project schedules that are less sensitive to disturbances are essential in today's highly competitive uncertain project environments. This paper addresses robust scheduling in project... more
Batch size optimization for deep learning training is a critical challenge that greatly affects model performance and training efficiency as well as resource utilization. In this paper, we present a comprehensive analysis of the... more
When applying optimizations, a number of decisions are made using fixed strategies, such as always applying an optimization if it is applicable, applying optimizations in a fixed order and assuming a fixed configuration for optimizations... more
The integration of large language models (LLMs) like Llama 2 into cloud-based machine learning platforms such as Amazon SageMaker presents a significant opportunity for advancing conversational AI applications. This paper explores the... more
In the ever-evolving era of Artificial Intelligence (AI), model performance has constituted a key metric driving innovation, leading to an exponential growth in model size and complexity. However, sustainability and energy efficiency have... more
This article comprehensively explores Low-Rank Adaptation (LoRa), an innovative optimization technique for deep learning models. It delves into the theoretical foundations, implementation strategies, and real-world applications of LoRa... more
This paper investigates the equilibrium growth dynamics of an economy whose production is based on natural resources and which seeks to maximize welfare to the local community. This involves determining the optimal trajectories of... more
The process of finding a correct forecast equation for photovoltaic electricity production from renewable sources is an important matter, since knowing the factors affecting the increase in the proportion of renewable energy production... more
This paper presents an extensive mathematical analysis of cutting-edge artificial neural network architectures optimized explicitly for edge computing devices. Leveraging sophisticated mathematical formulations and innovative research, we... more
Optimization techniques have demonstrated their capability to obtain economic and sustainable designs while meeting the performance and safety requirements in a number of engineering disciplines. In the bridge engineering field, the... more
The unit commitment problem in power plant operation planning is addressed. For a real power system comprising coal-and gas-red thermal and pumped-storage hydro plants a large-scale mixed integer optimization model for unit commitment is... more
This article employs a hydro-economic optimization model to analyze the effects of the Grand Ethiopian Renaissance Dam on the distribution and magnitude of benefits in the Eastern Nile. Scenarios are considered based on plausible... more
Explaining the reason for model’s output as diabetes positive or negative is crucial for diabetes diagnosis. Because, reasoning the predictive outcome of model helps to understand why the model predicted an instance into diabetes positive... more
In this study, breast cancer prediction model is proposed with decision tree and adaptive boosting (Adboost). Furthermore, an extensive experimental evaluation of the predictive performance of the proposed model is conducted. The study is... more
Breast cancer is the most common type of cancer occurring mostly in females. In recent years, many researchers have devoted to automate diagnosis of breast cancer by developing different machine learning model. However, the quality and... more
90% of disponible data are created in recent years. Big Data term was know for the first time since 2005, and even before in Mesopotamia, in order to register the increased of their productions. But evolution erea of Big Data started at... more
Alborz multi-purpose reservoir dam is located in the Pashakola Babol basin in Mazandaran province. Optimal operation of the water volume stored in the dam reservoir is significant subject for managers and operators. In the rule curve... more
U radu se daje pregled literature koja prikazuje rezultate istraživanja o utjecaju pojedinih tipova organizacijske kulture na dijeljenje znanja u poduzećima. Istraživanje je obuhvatilo 17 znanstvenih radova iz citatnih baza Web of Science... more
In recent years, machine learning is attaining higher precision and accuracy in clinical heart disease dataset classification. However, literature shows that the quality of heart disease feature used for the training model has a... more
Considering the current state of Ukraine's energy sector in a dangerous and unstable environment, the operation of nuclear power plants is one of the most important sources of electricity supply for the state. The development of the... more
In accordance with the principles of hierarchical management, a comprehensive two-level management system is presented for the development and manufacturing of products for the stages of pre-production (the upper level of the management... more
This paper employs ANN (Artificial Neural Network) models to estimate GHI (global horizontal irradiance) for three major cities in the UAE (United Arab Emirates), namely Abu Dhabi, Dubai and Al-Ain. City data are then used to develop a... more
There are many photovoltaic/thermal (PV/T) systems' designs that are used mainly to reduce the temperature of the PV cell by using a thermal medium to cool the photovoltaic module. In this study, a PV/T system uses nanophase change... more
There are many photovoltaic/thermal (PV/T) systems' designs that are used mainly to reduce the temperature of the PV cell by using a thermal medium to cool the photovoltaic module. In this study, a PV/T system uses nanophase change... more
This paper presents a novel technique that enhances the general precedence, mixed-integer programming approach for the optimal scheduling of process operations. It proves to effectively solve different types of industrial problems dealing... more
Mountainous watersheds have always been a challenge for modelers due to large variability and insufficient ground observations, which cause forcing data, model structure, and parameter uncertainty. This study employed Differential... more
The purpose of the present paper is to highlight some features of global dynamics of the two-sector growth model with accumulation of human and physical capital analyzed by Brito, P. and Venditti, A. (2010). In particular, we explore two... more
This work examines the impact that economic growth can have on biodiversity and on the ecological dynamics that would naturally emerge in the absence of human activity. The loss of biodiversity may induce policy makers to implement... more
In this paper we use global analysis techniques to analyze an economic growth model with environmental negative externalities, giving rise to a three-dimensional dynamic system (the framework is the one introduced by Wirl (1997) [53]).... more
As an emerging technology, photovoltaic/thermal (PV/T) systems have been gaining attention from manufacturers and experts because they increase the efficiency of photovoltaic units while producing thermal energy for a variety of uses.... more
One of the most important issues in the field of water resource management is the optimal utilization of dam reservoirs. In the current study, the optimal utilization of the Aydoghmoush Dam Reservoir is examined based on a hybrid of the... more
Author(s) and ACAA permit unrestricted use, distribution, and reproduction in any medium, provided the original work with proper citation. This work is licensed under Creative Commons Attribution International License (CC BY 4.0).
The aim of this study is to design and implement soft computing techniques called Support Vector Machine (SVM) and Multilayer Perceptron (MLP) for great management of energy generation based on experimental work. Solar energy could be... more
The notable developments in renewable energy facilities and resources help reduce the cost of production and increase production capacity. Therefore, developers in renewable energy evaluate the overall performance of the various... more
This article evaluates a 1.4-kW building integrated grid-connected photovoltaic plant. The PV plant was installed in the Faculty of Engineering solar energy lab, Sohar University, Oman, and the system data have been collected for a year... more
The aim of this study is to design and implement soft computing techniques called Support Vector Machine (SVM) and Multilayer Perceptron (MLP) for great management of energy generation based on experimental work. Solar energy could be... more
This work examines the impact that economic growth can have on biodiversity and on the ecological dynamics that would naturally emerge in the absence of human activity. The loss of biodiversity may induce policy makers to implement... more
Federated learning (FL) is a novel methodology aiming at training machine learning (ML) and deep learning (DL) models in a decentralized manner in order to solve three main problems seen in the artificial intelligence (AI) sector, namely,... more
The purpose of the present paper is to highlight some features of global dynamics of the two-sector growth model with accumulation of human and physical capital analyzed by Brito, P. and Venditti, A. (2010). In particular, we explore two... more
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