{"title":"Optimal control on a metric graph for a damped linear fractional hyperbolic problem","authors":"Pasquini Fotsing Soh","doi":"10.1016/j.rico.2025.100563","DOIUrl":"10.1016/j.rico.2025.100563","url":null,"abstract":"<div><div>The optimal control of fractional PDEs has been extensively studied in standard domains, but the existence and uniqueness of optimal controls in metric graphs, particularly for hyperbolic equations, remain less explored. Most studies focus on classical damping (e.g., viscous damping) or integer-order damping in hyperbolic problems, whereas the impact of fractional-order damping on control and optimization in metric graphs has received limited attention. Given the potential applications of these results to real-world problems such as pollution transport in river networks, traffic flow control, and heat propagation in branched structures, this presents a significant and promising research gap. This paper addresses a quadratic control problem involving a damped linear fractional hyperbolic equation subject to Dirichlet and Neumann boundary conditions. The considered fractional derivative is a composition of the right Caputo fractional derivative and the left Riemann–Liouville fractional derivative. We first give some existence and uniqueness results on an open bounded real interval, prove the existence of solutions to a quadratic optimal control problem and provide a characterization via optimality systems. We then investigate the analogous problems for a fractional Damped hyperbolic problem on a metric graph with mixed Dirichlet and Neumann boundary controls. The paper’s motivation likely arises from the desire to advance mathematical theory and control theory, especially in the context of complex systems represented by metric graphs. The potential impact or applications of these results span a wide range of fields, from engineering and network control to medical imaging and environmental science, where understanding and optimizing damped hyperbolic systems are essential.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100563"},"PeriodicalIF":0.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
R. Vignesh Raju , N. Jeeva , M.C. Kekana , S.E. Fadugba , R. Swaminathan
{"title":"Analytical techniques for understanding biofilm modeling in indoor air quality management","authors":"R. Vignesh Raju , N. Jeeva , M.C. Kekana , S.E. Fadugba , R. Swaminathan","doi":"10.1016/j.rico.2025.100564","DOIUrl":"10.1016/j.rico.2025.100564","url":null,"abstract":"<div><div>This study presents a theoretical and mathematical framework for developing a dimensionless model to enhance the removal of volatile organic compounds (VOCs) through (botanical) biofiltration in indoor environments. Although biofiltration is a promising strategy for the control of indoor air pollution, the precise mechanism of VOC removal remains not well understood. The proposed model is formulated using nonlinear differential equations under specified boundary conditions to represent biofilm mass balance concentrations. To obtain approximate solutions, Homotopy perturbation and Akbari-Ganji analytical techniques are applied. In addition, numerical simulations are performed using MATLAB® and compared with analytical results to validate precision. The findings indicate that optimizing the biofilm thickness and reaction rates significantly enhances the removal efficiency of VOCs. Improves understanding of the behavior of biofilms through advanced mathematical analysis, contributing to the development of more effective biofiltration strategies for improved indoor air quality management.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100564"},"PeriodicalIF":0.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869729","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A weighted error-minimizer parameter estimation technique for one-inflated positive Poisson distribution","authors":"Razik Ridzuan Mohd Tajuddin","doi":"10.1016/j.rico.2025.100569","DOIUrl":"10.1016/j.rico.2025.100569","url":null,"abstract":"<div><div>An error-minimizing estimator is always preferred in model fittings. However, each error-minimizing estimator minimizes error differently. This paper combines four error-minimizing estimators, which are root mean-squared error, mean absolute error, root mean-squared log error and mean absolute percentage error via a weighted approach. The estimation involves two levels. In the first-level estimation, the estimated parameters are obtained by minimizing error values differently and separately. In the second-level estimation, the resulting estimates from the first-level estimation are combined by either fixed and controlled weights or free and uncontrolled weights. A real crime dataset on the frequency of drunk drivers was considered for demonstration of the technique.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100569"},"PeriodicalIF":0.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143879284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Audu Umar Omesa , Sulaiman Mohammed Ibrahim , Rabiu Bashir Yunus , Issam A.R. Moghrabi , Muhammad Y. Waziri , Aceng Sambas
{"title":"A brief survey of line search methods for optimization problems","authors":"Audu Umar Omesa , Sulaiman Mohammed Ibrahim , Rabiu Bashir Yunus , Issam A.R. Moghrabi , Muhammad Y. Waziri , Aceng Sambas","doi":"10.1016/j.rico.2025.100550","DOIUrl":"10.1016/j.rico.2025.100550","url":null,"abstract":"<div><div>The line search methods for optimization problems have garnered widespread adoption across various domains and applications, primarily due to their effectiveness in addressing intricate problems. An important component that ensures the success of various iterative algorithms is the search direction (<span><math><msub><mrow><mi>d</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>) while the step-size (<span><math><msub><mrow><mi>α</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>) ensures global convergence in different schemes. While the literature offers general guidelines for line search selection, few studies investigate how specific problem constraints impact the performance of optimization methods. This paper presents a comprehensive survey and classification of line search methods, focusing on their computational efficiency and performance under varied problem constraints. We examine the influence of different line search parameters across standard test functions through extensive numerical tests. Our findings suggest practical guidelines for selecting suitable line search methods based on problem characteristics, offering researchers insights into method suitability, and contributing to the significant practical application of optimization in diverse fields.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100550"},"PeriodicalIF":0.0,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yudi Ari Adi , Danang A. Pratama , Maharani A. Bakar , Sugiyarto Surono , Suparman , Agung Budiantoro
{"title":"Optimal control of interactions between invasive alien and native species in a certain time period with the r-PINN approach","authors":"Yudi Ari Adi , Danang A. Pratama , Maharani A. Bakar , Sugiyarto Surono , Suparman , Agung Budiantoro","doi":"10.1016/j.rico.2025.100557","DOIUrl":"10.1016/j.rico.2025.100557","url":null,"abstract":"<div><div>The spread of invasive species poses a significant challenge to native biodiversity and ecosystem stability. An optimal control strategies to minimize the negative impacts of invasive species populations on native species and the ecosystem must be done in order to preserve the diversity in the ecosystem. This study proposes an optimal control framework to mitigate the impact of invasive species by enhancing native species preservation through a reaction–diffusion mathematical model. To solve the system efficiently, a restarting Physics-Informed Neural Network (r-PINN) is employed and benchmarked against the basic PINN. Numerical simulations reveal that r-PINN achieves a reduced training duration of 236.17 s compared to 289.18 s for the basic PINN, representing an 18.32% improvement in computational efficiency. Moreover, r-PINN demonstrates enhanced predictive accuracy, reducing the mean absolute error (MAE) by 4.12%, mean squared error (MSE) training loss by 12.04%, and MSE test loss by 5.11%. These results were validated against the Finite Difference Method (FDM), ensuring correctness of the proposed PINN-based approach. The implementation of the optimal control strategy led to a clear increase in native species populations and effective suppression of invasive species across spatial and temporal domains. Overall, the r-PINN framework offers a reliable and computationally efficient tool for solving nonlinear ecological models involving spatiotemporal control of species populations.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100557"},"PeriodicalIF":0.0,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fuzzy TOPSIS technique for multi-criteria group decision-making: A study of crude oil price","authors":"Sandhya Priya Baral, Prashanta Kumar Parida, Diptirekha Sahoo","doi":"10.1016/j.rico.2025.100565","DOIUrl":"10.1016/j.rico.2025.100565","url":null,"abstract":"<div><div>Understanding the state of the world economy is improved by forecasting the price from oil industry. The field of crude oil price forecasting have recently heard about the technique for order preference by similarity to ideal solution (TOPSIS) and fuzzy TOPSIS (FTOPSIS) techniques; while choosing the crude oil that counteract in global oil spill reactions. A multi-criteria decision-making (MCDM) challenge has to weight several options according to various criteria. The present study, initially describes type-1 FTOPSIS technique. Secondly, it describes its extension to handle the uncertain data, known as type-1 FTOPSIS technique in multi-criteria group decision making (MCGDM). Thirdly, it also describes type-1 FTOPSIS for group decision-making (DM) to rating the response choices to a simulated crude oil price, which is one of the biggest crude oil reservoirs in the world. The outcome demonstrates the type-1 fuzzy TOPSIS framework for determining the optimal solution by considering the crude oil globally.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100565"},"PeriodicalIF":0.0,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143839744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Itishree Panda , Damodar Jena , S Naveen , Saismita Swain , Shusrisangeeta Das
{"title":"Factors influencing women's participation in SHGs: An empirical evidence from mayurbhanj district of Odisha, India","authors":"Itishree Panda , Damodar Jena , S Naveen , Saismita Swain , Shusrisangeeta Das","doi":"10.1016/j.rico.2025.100559","DOIUrl":"10.1016/j.rico.2025.100559","url":null,"abstract":"<div><div>Women's empowerment is essential for fostering inclusive and sustainable development. In India, self-help groups are widely recognised as an effective strategy not only for women's empowerment but also tackling poverty. The main objective of the study is to assess factors that influence women's participation in self-help groups (SHGs) and ascertain its impact on social and economic empowerment. The study was done in the Mayurbhanj district of Odisha, India. Primary data have been collected from female respondents of SHGs, members and non-members. Logit regression model has been used to explain the factors influencing women's involvement in self-help groups and empowerment index has been developed to assess how SHGs affect women's empowerment. The findings indicates that age, family structure, access to credit, community participation, and land ownership, significantly affect women's participation in SHGs.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100559"},"PeriodicalIF":0.0,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143826383","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fredrick Asenso Wireko, Ignatius Dennis Kwesi Mensah, Emmanuel Nii Apai Aborhey, Samuel Adu Appiah, Charles Sebil, Joseph Ackora-Prah
{"title":"The maximum range method for finding initial basic feasible solution for transportation problems","authors":"Fredrick Asenso Wireko, Ignatius Dennis Kwesi Mensah, Emmanuel Nii Apai Aborhey, Samuel Adu Appiah, Charles Sebil, Joseph Ackora-Prah","doi":"10.1016/j.rico.2025.100551","DOIUrl":"10.1016/j.rico.2025.100551","url":null,"abstract":"<div><div>The transportation problem is an essential branch of mathematics that industries use to minimize costs. The transportation problem is an optimization technique suitably modeled using linear programming. To obtain an optimal solution to the transportation problem, first compute the initial basic feasible solution, which is then subsequently optimized. Several algorithms, like Vogel’s approximation method, maximum difference extreme difference method, demand-based allocation method, and others, are used in literature to determine the initial basic feasible solution to these transportation problems. This paper proposes a robust algorithm that can produce an initial basic feasible solution asymptotic to the optimal solution. The study further carried out a performance analysis by comparing the proposed algorithm’s results with those of some existing algorithms. The observation was that the proposed algorithm in many cases produced an optimal initial basic feasible solution (IBFS) for both balanced and unbalanced transportation problems and also tend to have a very high average of correctness percentage compared to some existing algorithms.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100551"},"PeriodicalIF":0.0,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Distributionally robust Lyapunov–Barrier Networks for safe and stable control under uncertainty","authors":"Ali Baheri","doi":"10.1016/j.rico.2025.100556","DOIUrl":"10.1016/j.rico.2025.100556","url":null,"abstract":"<div><div>This paper addresses the challenge of simultaneously achieving stability and safety in nonlinear control systems subject to uncertain parameters. We propose distributionally robust Lyapunov–Barrier networks (DR-LBNs), a novel framework that unifies control Lyapunov functions, control barrier functions, and distributionally robust optimization. By modeling parametric uncertainties through a Wasserstein-based ambiguity set, proposed approach offers high-probability guarantees on both asymptotic stability and forward invariance of a safe set, even when the true distribution of uncertainties is unknown or shifts from training to deployment. We formalize key theoretical results on probabilistic stability, universal approximation of Lyapunov and barrier functions, and sample complexity. In numerical evaluations, the DR-LBN approach outperforms both a simple baseline controller and a worst-case robust distribution method in terms of safety margins, convergence speed, and control effort.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100556"},"PeriodicalIF":0.0,"publicationDate":"2025-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Purnima Pal , Harsh Vikram Singh , Veena Grover , R. Manikandan , Rasoul Karimi , Mohammad Khishe
{"title":"Interactive cardiovascular disease prediction system using learning techniques: Insights from extensive experiments","authors":"Purnima Pal , Harsh Vikram Singh , Veena Grover , R. Manikandan , Rasoul Karimi , Mohammad Khishe","doi":"10.1016/j.rico.2025.100560","DOIUrl":"10.1016/j.rico.2025.100560","url":null,"abstract":"<div><div>In Today's medical field, cardiovascular disease prediction is a significant challenge due to the influence of multiple variables affecting the circulatory system, such as hypertension, hyperlipidemia, and irregular pulse rates. Accurately classifying cardiac diseases proves to be a complex task. Consequently, the deep and machine learning techniques hold substantial potential for facilitating early identification. In this research paper, we explore the effectiveness of various models of machine learning, ensemble machine learning, and deep learning for predicting heart disease. These models undergo comprehensive experiments and cross-validation to evaluate their performance. To prepare the dataset, we apply standard scaling to numerical features, aligning them on a similar scale and enhancing the performance of specific learning algorithms. Our results demonstrate that deep learning models achieve high accuracy and robustness in predicting cardiovascular disease risk, with the InceptionNet model achieving an impressive 98.89 % accuracy. Additionally, ensemble learning models also show promise, with the Random Forest model delivering competitive accuracy, effectively capturing attributes and temporal dependencies within cardiovascular disease data. The findings of this study underscore the possibilities of deep learning and ensemble machine learning approaches in accurately predicting heart disease risk. Ultimately, this contributes to improved patient care and reduced mortality rates amidst the rising prevalence of heart-related conditions.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100560"},"PeriodicalIF":0.0,"publicationDate":"2025-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143844304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}