Results in Control and Optimization最新文献_第2页

A novel investigation of quaternion Julia and Mandelbrot sets using the viscosity iterative approach

Results in Control and Optimization Pub Date : 2025-01-27 DOI: 10.1016/j.rico.2025.100525

Nabaraj Adhikari, Wutiphol Sintunavarat

{"title":"A novel investigation of quaternion Julia and Mandelbrot sets using the viscosity iterative approach","authors":"Nabaraj Adhikari, Wutiphol Sintunavarat","doi":"10.1016/j.rico.2025.100525","DOIUrl":"10.1016/j.rico.2025.100525","url":null,"abstract":"<div><div>This paper presents a novel technique for visualizing quaternion Julia and Mandelbrot sets of a quaternion-valued polynomial mapping <span><math><mrow><mi>T</mi><mrow><mo>(</mo><mi>q</mi><mo>)</mo></mrow><mo>=</mo><msup><mrow><mi>q</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>+</mo><mi>m</mi><mi>q</mi><mo>+</mo><mi>c</mi></mrow></math></span>, where <span><math><mi>q</mi></math></span> is a quaternion variable, <span><math><mrow><mi>n</mi><mo>∈</mo><mi>N</mi><mo>∖</mo><mrow><mo>{</mo><mn>1</mn><mo>}</mo></mrow></mrow></math></span>, and <span><math><mrow><mi>m</mi><mo>,</mo><mi>c</mi></mrow></math></span> are quaternion parameters, by employing the viscosity approximation method. The investigation begins with a study of a new escape criterion, specifically designed for generating quaternion Julia and Mandelbrot sets using the viscosity approximation technique. Based on this result, two dimensions and three dimensions cross-sections of quaternion Julia and Mandelbrot sets are created. The paper also examines how variations in the parameters of the iterative methods impact the resulting sets’ characteristics, such as shape, size, symmetry, and color.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"18 ","pages":"Article 100525"},"PeriodicalIF":0.0,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143175191","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}

引用次数: 0

Mathematical analysis of COVID-19 dynamics in Iraq utilising empirical data

Results in Control and Optimization Pub Date : 2025-01-27 DOI: 10.1016/j.rico.2025.100528

Wasan I. Khalil, Ayad R. Khudair

引用次数: 0

Intentionally-underestimated value function at terminal state for temporal-difference learning with mis-designed reward

Results in Control and Optimization Pub Date : 2025-01-26 DOI: 10.1016/j.rico.2025.100530

Taisuke Kobayashi

{"title":"Intentionally-underestimated value function at terminal state for temporal-difference learning with mis-designed reward","authors":"Taisuke Kobayashi","doi":"10.1016/j.rico.2025.100530","DOIUrl":"10.1016/j.rico.2025.100530","url":null,"abstract":"<div><div>Robot control using reinforcement learning has become popular, but its learning process often terminates midway through an episode for safety and time-saving reasons. This study addresses the problem of the most popular exception handling that temporal-difference (TD) learning performs at such termination. That is, by forcibly assuming zero value after termination, unintentional implicit underestimation or overestimation occurs, depending on the reward design in the normal states. If the termination by failure is highly valued with the unintentional overestimation, the wrong policy may be acquired. Although this problem can be avoided by paying attention to the reward design, it is essential in the practical use of TD learning to review the exception handling at termination. Therefore, this paper proposes a method to intentionally underestimate the value after termination to avoid learning failures due to the unintentional overestimation. This intentional underestimation is heuristically derived with the assumption of two-step transition to absorbing state. In addition, the degree of underestimation is adjusted according to the degree of steadiness at termination, thereby preventing excessive exploration due to the intentional underestimation. Simulation results showed that the proposed method improves the success rate for 24 tasks with different reward designs from 10/24 in the conventional method to 20/24. Real-robot experiments also demonstrated that the proposed method enables to learn the optimal policy even in the case that the conventional method fails.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"18 ","pages":"Article 100530"},"PeriodicalIF":0.0,"publicationDate":"2025-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143175199","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}

引用次数: 0

Diegif: An efficient and secured DICOM to EGIF conversion framework for confidentiality in machine learning training

Results in Control and Optimization Pub Date : 2025-01-25 DOI: 10.1016/j.rico.2025.100515

Abdullah Al Siam , Md Maruf Hassan , Md Atikur Rahaman , Masuk Abdullah

{"title":"Diegif: An efficient and secured DICOM to EGIF conversion framework for confidentiality in machine learning training","authors":"Abdullah Al Siam , Md Maruf Hassan , Md Atikur Rahaman , Masuk Abdullah","doi":"10.1016/j.rico.2025.100515","DOIUrl":"10.1016/j.rico.2025.100515","url":null,"abstract":"<div><div>Medical imaging plays a critical role in contemporary healthcare, although it confronts issues relating to storage, security, and confidentiality in machine learning-based diagnostic systems. The proposed framework, <em>Diegif</em>, presents an efficient and safe mechanism for converting DICOM (Digital Imaging and Communications in Medicine) data into EGIF (Encrypted Graphics Interchange Format) files to overcome these challenges. The framework comprises four key components: (1) converting DICOM files to GIF format with encryption, (2) decrypting EGIF files for processing, (3) enabling confidentiality-preserving machine learning training using EGIF data, and (4) facilitating physician diagnosis and report generation based on trained machine learning models. The <em>Diegif</em> framework aims to enhance storage efficiency by decreasing file sizes by 66.32%, thereby improving data transport efficacy and cloud storage affordability while preserving strong encryption for data confidentiality. Pseudocode algorithms are provided for each phase, ensuring reproducibility and transparency. This paper illustrates the framework’s potential to medical image processing, secure storage, and AI-driven diagnostic functions in healthcare.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"18 ","pages":"Article 100515"},"PeriodicalIF":0.0,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143175201","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}

引用次数: 0

Mixed-type duality approach for interval-valued programming problems with vanishing constraints

Results in Control and Optimization Pub Date : 2025-01-24 DOI: 10.1016/j.rico.2025.100527

Vivek Singh, Neelima Shekhawat

引用次数: 0

Theoretical and numerical study of profit in agricultural sector model using wavelet method

Results in Control and Optimization Pub Date : 2025-01-21 DOI: 10.1016/j.rico.2025.100526

Yeshwanth R., Kumbinarasaiah S.

{"title":"Theoretical and numerical study of profit in agricultural sector model using wavelet method","authors":"Yeshwanth R., Kumbinarasaiah S.","doi":"10.1016/j.rico.2025.100526","DOIUrl":"10.1016/j.rico.2025.100526","url":null,"abstract":"<div><div>Agriculture is crucial in India’s economy and society, supporting rural livelihood and national food security. India is one of the world’s largest agricultural producers, with diverse crops and farming practices. This work aims to present the Chebyshev wavelet collocation method (CWCM) for assessing and producing a numerical approximation of profit in a fractional-order agriculture sector model. Together, numerical simulations and mathematical modeling analysis enhance agricultural management and understanding while offering crucial insights into the dynamics of agricultural profit. Numerical results are obtained from a mathematical and financial perspective using the model parameters for model validation. Additionally, the error and convergence analysis of the Chebyshev wavelets has been presented to assess the applicability of the proposed approach. This study aims to construct Chebyshev wavelet operational matrix of integration (OMIs) and apply them to the numerical solution of fractional differential equations representing the agriculture model. The operational matrices are used to simplify fractional differential equations to an algebraic system of equations. Finally, we graphically depict the results and offer empirical support for our theoretical conclusions through graphic representations. The CWCM approach generates precise results with better absolute error (Ae) for highly nonlinear scenarios by computing a small number of terms and avoiding data rounding. The results of the developed method, the RK4 method, and the ND solver have been compared. The numerical findings demonstrate how well (CWCM) solves the fractional order agriculture model in terms of accuracy and efficiency. Mathematica is a mathematical program used for numerical calculations and implementation.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"18 ","pages":"Article 100526"},"PeriodicalIF":0.0,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143175198","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}

引用次数: 0

Performance analysis of a queueing system with tandem nodes, retrial and server vacations

Results in Control and Optimization Pub Date : 2025-01-20 DOI: 10.1016/j.rico.2025.100520

K. Anitha, V. Poongothai, P. Godhandaraman

引用次数: 0

Impact of awareness in self–monitoring of COVID-19: An optimal control approach

Results in Control and Optimization Pub Date : 2025-01-14 DOI: 10.1016/j.rico.2024.100513

Piu Samui , Jayanta Mondal , Amar Nath Chatterjee , Fahad Al Basir

{"title":"Impact of awareness in self–monitoring of COVID-19: An optimal control approach","authors":"Piu Samui , Jayanta Mondal , Amar Nath Chatterjee , Fahad Al Basir","doi":"10.1016/j.rico.2024.100513","DOIUrl":"10.1016/j.rico.2024.100513","url":null,"abstract":"<div><div>COVID-19 has been a significant global health concern since the last quarter of 2019, prompting ongoing research to understand the transmission patterns and develop global intervention methods. This article presents a Scompartmental model that demonstrates the effectiveness of self-monitoring among individuals as a non-pharmaceutical method in reducing infection progression. The existence of equilibria and their stability have been studied on the basic of the basic reproduction number (<span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>). We observed forward bifurcation at <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mn>1</mn></mrow></math></span>. We have applied optimal control theory and formulated a three control parameters optimal control problem (OCP) to study non-therapeutic measures like increasing awareness of COVID-19 among susceptible and symptomatic individuals and therapeutic measures like providing improved treatment to hospitalized individuals. The cost-effectiveness of these strategies is also analyzed, suggesting the coexistence of possible treatment routes in controlling the virus.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"18 ","pages":"Article 100513"},"PeriodicalIF":0.0,"publicationDate":"2025-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143175196","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}

引用次数: 0

Daily allocation of energy consumption forecasting of a power distribution company using optimized least squares support vector machine

Results in Control and Optimization Pub Date : 2025-01-13 DOI: 10.1016/j.rico.2025.100518

Marzia Ahmed , Mohd Herwan Sulaiman , Md. Maruf Hassan , Md. Atikur Rahaman , Mohammad Bin Amin

{"title":"Daily allocation of energy consumption forecasting of a power distribution company using optimized least squares support vector machine","authors":"Marzia Ahmed , Mohd Herwan Sulaiman , Md. Maruf Hassan , Md. Atikur Rahaman , Mohammad Bin Amin","doi":"10.1016/j.rico.2025.100518","DOIUrl":"10.1016/j.rico.2025.100518","url":null,"abstract":"<div><div>Accurate energy consumption forecasting is critical for efficient power distribution management. This study presents a novel approach for optimal allocation forecasting of energy consumption in a power distribution company, utilizing the Least Squares Support Vector Machine (LSSVM) optimized by novel variants of the Barnacle Mating Optimizer (BMO) such as the new Gooseneck Barnacle Optimizer and Selective Opposition-based constrained BMO. The optimized LSSVM hyper-parameters, specifically the regularization parameter (<span><math><mi>γ</mi></math></span>) and the kernel parameter (<span><math><msup><mrow><mi>σ</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>), were applied to test data to enhance accuracy guided by the Mean Absolute Prediction Error (MAPE), ensuring precise alignment of forecasted values with actual energy consumption data. The results indicate that the novel gooseneck barnacle base-optimized LSSVM provides a robust and reliable solution with accuracy 99.98% for daily energy consumption for allocation forecasting, making it a valuable tool for power distribution companies aiming to optimize their resource allocation and planning processes.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"18 ","pages":"Article 100518"},"PeriodicalIF":0.0,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143175197","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}

引用次数: 0

Optimal control applied to a stage-structured cassava mosaic disease model with vector feeding behavior

Results in Control and Optimization Pub Date : 2025-01-09 DOI: 10.1016/j.rico.2025.100522

Eva Lusekelo , Mlyashimbi Helikumi , Salamida Daudi , Steady Mushayabasa

{"title":"Optimal control applied to a stage-structured cassava mosaic disease model with vector feeding behavior","authors":"Eva Lusekelo , Mlyashimbi Helikumi , Salamida Daudi , Steady Mushayabasa","doi":"10.1016/j.rico.2025.100522","DOIUrl":"10.1016/j.rico.2025.100522","url":null,"abstract":"<div><div>Cassava remains Sub-Saharan Africa’s second most crucial staple food crop after maize. However, production of sufficient yields is hampered by pests and diseases. In particular, the whitefly (<em>Bemisia tabaci</em>) has the potential to reduce expected yields by 50% since it directly damages cassava leaves by feeding on phloem, causing chlorosis and abscission. This study develops a novel mathematical model for cassava mosaic disease that incorporates immature and adult whitefly populations. Additionally, the model includes vector feeding behavior since prior studies have shown that vectors exhibit preferences to settle for either healthy or infected hosts. We determined the offspring number and carried out its sensitivity analysis. Additionally, we carried out an optimal control study on the use of insecticides and plant roguing as disease control measures against cassava mosaic disease. Our results show that vector preference and efficiency of disease control strategies plays an important role in shaping the short and long-term dynamics of cassava mosaic disease, which subsequently impacts the design of its optimal control strategies.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"18 ","pages":"Article 100522"},"PeriodicalIF":0.0,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143176330","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}

引用次数: 0