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A New Broyden rank reduction method to solve large systems of nonlinear equations 求解大型非线性方程组的一种新的Broyden秩约简方法
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-04-09 DOI: 10.11121/IJOCTA.01.2019.00743
O. Mostafa, A. Souissi, M. Ziani
We propose a modification of limited memory Broyden methods, called dynamical Broyden rank reduction method, to solve high dimensional systems of nonlinear equations. Based on a thresholding process of singular values, the proposed method determines a priori the rank of the reduced update matrix. It significantly reduces the number of singular values decomposition calls of the update matrix during the iterations. Local superlinear convergence of the method is proved and some numerical examples are displayed.
本文提出了一种改进的有限记忆Broyden方法,称为动态Broyden秩约简法,用于求解高维非线性方程组。该方法基于奇异值的阈值处理,先验地确定约简后更新矩阵的秩。它显著地减少了迭代期间更新矩阵的奇异值分解调用的数量。证明了该方法的局部超线性收敛性,并给出了一些数值算例。
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引用次数: 0
Simulation of glucose regulating mechanism with an agent-based software engineering tool 基于agent的葡萄糖调节机制仿真软件工程工具
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-03-20 DOI: 10.11121/IJOCTA.01.2019.00685
Sevcan Emek, Vedat Evren, Şebnem Bora
This study provides a detailed explanation of a regulating mechanism of the blood glucose levels by an agent-based software engineering tool. Repast Simphony which is used in implementation of this study is an agent-based software engineering tool based on the object-oriented programming using Java language. Agent-based modeling and simulation is a computational methodology for simulating and exploring phenomena that includes a large set of active components represented by agents. The agents are main components situated in space and time of agent-based simulation environment. In this study, we present hormonal regulation of blood glucose levels by our improved agent-based control mechanism. Hormonal regulation of blood glucose levels is an important process to maintain homeostasis inside the human body. We offer a negative feedback control mechanism with agent-based modeling approach to regulate the secretion of insulin hormone which is responsible for increasing the blood glucose levels. The negative feedback control mechanism run by three main agents that interact with each other to perform their local actions in the simulation environment. The result of this study shows the local behavior of the agents in the negative feedback loop and illustrates how to balance the blood glucose levels. Finally, this study which is thought a potential implementation of agent-based modeling and simulation may contribute to the exploration of other homeostatic control systems inside the human body.
本研究通过基于agent的软件工程工具详细解释了血糖水平的调节机制。Repast Simphony是一个基于Java语言的面向对象编程的基于代理的软件工程工具。基于代理的建模和仿真是一种用于模拟和探索包括由代理表示的大量活动组件的现象的计算方法。智能体是基于智能体的仿真环境中空间和时间上的主要组成部分。在这项研究中,我们提出了激素调节血糖水平的改进药物为基础的控制机制。激素调节血糖水平是维持人体内稳态的重要过程。我们提出了一种基于agent建模的负反馈控制机制来调节胰岛素激素的分泌,这是导致血糖水平升高的原因。负反馈控制机制由三个主要代理运行,它们在模拟环境中相互作用以执行它们的局部动作。本研究结果显示了负反馈回路中各因子的局部行为,并说明了如何平衡血糖水平。最后,这项研究被认为是基于主体的建模和仿真的潜在实现,可能有助于探索人体内其他稳态控制系统。
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引用次数: 0
Hermite-Hadamard type inequalities for p-convex stochastic processes p凸随机过程的Hermite-Hadamard型不等式
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-03-19 DOI: 10.11121/IJOCTA.01.2019.00602
Nurgül Okur, I. Işcan, Emine Yuksek Dizdar
In this study are investigated p-convex stochastic processes which are extensions of convex stochastic processes. A suitable example is also given for this process. In addition, in this case a p-convex stochastic process is increasing or decreasing, the relation with convexity is revealed. The concept of inequality as convexity has an important place in literature, since it provides a broader setting to study the optimization and mathematical programming problems. Therefore, Hermite-Hadamard type inequalities for p-convex stochastic processes and some boundaries for these inequalities are obtained in present study. It is used the concept of mean-square integrability for stochastic processes to obtain the above mentioned results.
研究了p-凸随机过程,它是凸随机过程的扩展。文中还给出了一个合适的实例。此外,在p-凸随机过程递增或递减的情况下,揭示了其与凸性的关系。不等式作为凸性的概念在文献中占有重要地位,因为它为研究优化和数学规划问题提供了更广泛的背景。因此,本文得到了p凸随机过程的Hermite-Hadamard型不等式,并给出了这些不等式的一些边界。利用随机过程均方可积性的概念得到了上述结果。
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引用次数: 16
Evaluation of wind energy investment with artificial neural networks 基于人工神经网络的风能投资评价
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-03-19 DOI: 10.11121/IJOCTA.01.2019.00780
H. Yildirim, M. Yavuz
Countries aiming for sustainability in economic growth and development ensure the reliability of energy supplies. For countries to provide their energy needs uninterruptedly, it is important for domestic and renewable energy sources to be utilised. For this reason, the supply of reliable and sustainable energy has become an important issue that concerns and occupies mankind. Of the renewable energy sources, wind energy is a clean, reliable and inexhaustible source of energy with low operating costs. Turkey is a rich nation in terms of wind energy potential. Forecasting of investment efficiency is an important issue before and during the investment period in wind energy investment process because of high investment costs. It is aimed to forecast the wind energy products monthly with multilayer neural network approach in this study. For this aim a feed forward back propagation neural network model has been established. As a set of data, wind speed values 48 months (January 2012-December 2015) have been used. The training data set occurs from 36 monthly wind speed values (January 2012-December 2014) and the test data set occurs from other values (January-December 2015). Analysis findings show that the trained Artificial Neural Networks (ANNs) have the ability of accurate prediction for the samples that are not used at training phase. The prediction errors for the wind energy plantation values are ranged between 0.00494-0.015035. Also the overall mean prediction error for this prediction is calculated as 0.004818 (0.48%). In general, we can say that ANNs be able to estimate the aspect of wind energy plant productions.
旨在实现经济增长和发展可持续性的国家确保能源供应的可靠性。为了不间断地满足各国的能源需求,重要的是利用国内能源和可再生能源。因此,可靠和可持续的能源供应已成为人类关注和关注的重要问题。在可再生能源中,风能是一种清洁、可靠、取之不尽、用之不竭、运行成本低的能源。就风能潜力而言,土耳其是一个富裕的国家。由于风电投资成本高,投资效益预测是风电投资过程中投资前和投资期的重要问题。本研究的目的是利用多层神经网络的方法来预测每月的风能产品。为此,建立了前馈-反传播神经网络模型。作为一组数据,使用了48个月(2012年1月- 2015年12月)的风速值。训练数据集来自36个月的风速值(2012年1月至2014年12月),测试数据集来自其他值(2015年1月至12月)。分析结果表明,训练后的人工神经网络对训练阶段未使用的样本具有准确的预测能力。预测误差范围为0.00494 ~ 0.015035。该预测的总体平均预测误差计算为0.004818(0.48%)。一般来说,我们可以说人工神经网络能够估计风能工厂生产的方面。
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引用次数: 1
Investment evaluation of wind turbine relocation 风电机组搬迁投资评估
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-03-19 DOI: 10.11121/IJOCTA.01.2019.00762
H. Yildirim, Sakir Sakarya
Energy has become one of the most important building blocks of many changes in the world, and it still maintains this quality. The demand for natural resources and energy continues to increase  daily. For this reason, the supply of reliable and sustainable energy has become an important issue that concerns and occupies mankind. Of the renewable energy sources, wind energy is a clean, reliable and inexhaustible source of energy with low operating costs. Turkey is a rich nation in terms of wind energy potential. In this context, the profitability of investments made in utilising domestic and renewable energy potential is important. Investment efficiency is a very important issue before and during the investment period due to the fact that wind energy investments are high cost investments. In this study, a solution will be proposed for the replacement of inefficient wind turbines which have been installed. In the ideal solution of the issue, the remaining lifetime of the wind turbine which is to be replaced and capacity utilization at the new location of the turbine will be used as key input factors. The results showed that it was important for the relocation decision to be made early for the investment to be more profitable. In the event of delayed decisions to relocate the turbine, a high capacity factor is expected in the new location. If a high capacity factor is not achieved, the relocation of the turbine will be meaningless and losses will be incurred for the investor. Also according to the results of the analysis, in the first two years, the turbine operating at a low capacity of 19% and 17% is profitable if it works at 26% capacity until the end of its economic life when change is made in the third year.
能源已经成为世界上许多变化的最重要的组成部分之一,它仍然保持着这种品质。对自然资源和能源的需求日益增加。因此,可靠和可持续的能源供应已成为人类关注和关注的重要问题。在可再生能源中,风能是一种清洁、可靠、取之不尽、用之不竭、运行成本低的能源。就风能潜力而言,土耳其是一个富裕的国家。在这方面,利用国内和可再生能源潜力的投资的盈利能力是重要的。由于风能投资是一项高成本投资,投资效率在投资前和投资期间都是一个非常重要的问题。在这项研究中,将提出一种解决方案,以更换已安装的低效风力涡轮机。在该问题的理想解决方案中,将以待更换风机的剩余寿命和风机新址的容量利用率作为关键输入因素。结果表明,为了获得更大的投资收益,及早做出搬迁决策至关重要。如果推迟重新安置涡轮机的决定,预计新位置的容量系数很高。如果不能达到较高的容量系数,那么重新安置涡轮机将毫无意义,并且会给投资者带来损失。同样根据分析结果,在前两年,涡轮机以19%和17%的低容量运行,如果以26%的容量运行,直到第三年进行改变,其经济寿命结束。
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引用次数: 1
Stability of delay differential equations in the sense of Ulam on unbounded intervals 无界区间上Ulam意义下时滞微分方程的稳定性
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-03-13 DOI: 10.11121/IJOCTA.01.2019.00628
Süleyman Öğrekçi
In this paper, we consider the stability problem of delay differential equations in the sense of Hyers-Ulam-Rassias. Recently this problem has been solved for bounded intervals, our result extends and improve the literature by obtaining stability in unbounded intervals. An illustrative example is also given to compare these results and visualize the improvement.
本文研究了Hyers-Ulam-Rassias意义下的时滞微分方程的稳定性问题。最近这一问题在有界区间上得到了解决,我们的结果通过得到无界区间上的稳定性扩展和改进了文献。并给出了一个实例来比较这些结果和可视化的改进。
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引用次数: 13
Analyzing occupational risks of pharmaceutical industry under uncertainty using a Bow-Tie analysis 不确定条件下医药行业职业风险的领结分析
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-02-19 DOI: 10.11121/ijocta.01.2019.00655
Sukran Seker
Risk analysis is a systematic and widespread methodology to analyze and evaluate risks which are exposed in many working areas. One of the Quantitative Risk Analysis (QRA) methods for risk assessment is Bow-Tie analysis which combines features of fault-tree analysis and event-tree analysis to identify the top event; its causes and consequences (outcomes); and possible preventive and protective control measures or barriers. This study proposes an occupational risk assessment approach, which is known as Fuzzy Bow-Tie analysis, for pharmaceutical industry processes and work units. The aim is to evaluate critical risks and risky pharmaceutical work units and take safety precautions against accidents which caused by risky conditions. Thus, this methodology combines the concept of uncertainty which comes from different (Decision Maker) DM’s evaluations and the whole performance of the Bow-Tie analysis for hazard identification and risk assessment.  To apply and validate the proposed method, a case study is performed for pharmaceutical industry processes and work units. Based on the computed risk score, which is calculated by multiplying probability ranking and impact ranking of criterion, the risks are prioritized and some measures are suggested for management to prevent accidents occur in the industry.
风险分析是一种系统和广泛的方法,用于分析和评估许多工作领域中暴露的风险。Bow-Tie分析法是定量风险分析方法中的一种,它结合了故障树分析和事件树分析的特点来识别最重要的事件;其原因和后果(结果);以及可能的预防和保护性控制措施或障碍。本研究提出一种针对制药业流程及工作单位的职业风险评估方法,称为模糊领结分析法。其目的是评估重大风险和高风险制药单位,并采取安全预防措施,防止危险条件造成的事故。因此,该方法结合了来自不同(决策者)DM评价的不确定性概念和用于危害识别和风险评估的领结分析的整体性能。为了应用和验证所提出的方法,对制药工业流程和工作单位进行了案例研究。通过对准则的概率排序与影响排序相乘,得到计算出的风险评分,对风险进行排序,并提出了防范行业事故发生的管理措施。
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引用次数: 2
Fitting Intravoxel Incoherent Motion Model to Diffusion MR Signals of the Human Breast Tissue using Particle Swarm Optimization 用粒子群算法拟合乳腺组织弥散MR信号的体素内非相干运动模型
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-02-15 DOI: 10.11121/IJOCTA.01.2019.00642
G. Ertas
Intravoxel incoherent motion (IVIM) modeling offers the parameters f, D and D* as biomarkers for different lesion types and cancer stages from diffusion MR signals. Challenges with the available optimization algorithms in fitting the model to the signals motive new studies for improved parameter estimations. In this study, one thousand value sets of f, D, D* for human breast are assembled and used to generate five thousand diffusion MR signals considering noise-free and noisy situations exhibiting signal-to-noise ratios (SNR) of 20, 40, 60 and 80. The estimates of f, D, D* are obtained using Levenberg-Marquardt (LM), trust-region (TR) and particle swarm (PS) algorithms. On average, the algorithms provide the highest fitting performance for the noise-free signals (R2adj=1.000) and great fitting performances on the noisy signals with SNR>20 (R2adj>0.988). TR algorithm performs slightly better for SNR=20 (R2adj=0.947). TR and PS algorithms achieve the highest parameter estimation performance for all the parameters while LM algorithm reveals the highest performance for f and D only on the noise-free signals (r=1.00). For the noisy signals, performances increase while SNR increases. All algorithms accomplish poor performances for D* (r=0.01-0.20) while TR and PS algorithms perform same for f (r=0.48-0.97) and D (r=0.85-0.99) but remarkably better than LM algorithm for f (r=0.08-0.97) and D (r=0.53-0.99). Overall, TR and PS algorithms demonstrate better but indistinguishable performances. Without requiring any user-given initial value, PS algorithm may facilitate improved estimation of IVIM parameters of the human breast tissue. Further studies are needed to determine its benefit in clinical practice.
体素内非相干运动(IVIM)模型提供参数f、D和D*作为扩散MR信号中不同病变类型和癌症分期的生物标志物。现有的优化算法在拟合模型与信号方面的挑战促使人们对改进的参数估计进行新的研究。在本研究中,我们对人体乳房的1000个f、D、D*的值集进行了组装,并在考虑无噪声和有噪声的情况下生成5000个扩散MR信号,信噪比分别为20,40,60和80。利用Levenberg-Marquardt (LM)、trust-region (TR)和particle swarm (PS)算法得到f、D、D*的估计。平均而言,算法对无噪声信号(R2adj=1.000)的拟合性能最好,对信噪比>20的有噪声信号(R2adj>0.988)的拟合性能最好。TR算法在信噪比为20时表现稍好(R2adj=0.947)。TR和PS算法对所有参数的参数估计性能最高,而LM算法仅在无噪声信号(r=1.00)上对f和D的参数估计性能最高。对于噪声信号,随着信噪比的增加,性能也随之提高。所有算法对D*的性能均较差(r=0.01-0.20),而TR和PS算法对f (r=0.48-0.97)和D (r=0.85-0.99)的性能相同,但对f (r=0.08-0.97)和D (r=0.53-0.99)的性能明显优于LM算法。总的来说,TR算法和PS算法表现出更好但难以区分的性能。PS算法不需要任何用户给定的初始值,可以改进人体乳腺组织IVIM参数的估计。需要进一步的研究来确定其在临床实践中的益处。
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引用次数: 1
Analytical studies on waves in nonlinear transmission line media 非线性传输线介质中波的解析研究
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-02-14 DOI: 10.11121/IJOCTA.01.2019.00597
Zehra Pinar
In this study, we introduce the lossy nonlinear transmission line equation, which is the dissipative-dispersive equation and an important problem of electrical transmission lines. For the engineers and physicist, the equation and its exact solutions are important so to obtain the exact solutions; one of the modifications of auxiliary equation method based on Chebyshev differential equation is studied. The results are discussed and given in details. Recently, the studies of lossy transmission line equation have been challenging, thus, it is believed that the proposed solutions will be key part of further studies for waves in nonlinear transmission line media, which has mixed dissipative-dispersive behavior.
本文引入损耗非线性输电线路方程,即耗散-色散方程,是输电线路的一个重要问题。对于工程师和物理学家来说,方程及其精确解对于获得精确解至关重要;研究了一种基于切比雪夫微分方程的辅助方程修正方法。对结果进行了详细的讨论和给出。近年来,有耗传输线方程的研究面临着挑战,因此,本文提出的解法将成为进一步研究具有混合耗散-色散行为的非线性传输线介质中的波的关键部分。
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引用次数: 6
A bi-objective model for sustainable logistics and operations planning of WEEE recovery 一个关于报废电子电气设备回收的可持续物流和运营计划的双目标模型
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-02-06 DOI: 10.11121/IJOCTA.01.2019.00718
E. N. Kapukaya, A. Bal, S. I. Satoglu
The Triple-bottom-line concept suggests that firms must consider the environmental and social impacts of their decisions, beside the economic aspects. Hence, the sustainability of the firms’ operations can be reached. The purpose of this study is to develop a bi-objective, multi-product and multi-period mixed-integer model for the operations planning of electrical-electronic waste (WEEE) recovery facilities, by considering social (workforce) constraints. Main objective is the minimization of net recycling and logistics costs offset by the profit earned by recovered material sales, and second objective is the maximization of hazardous materials recovery.  Collection of used products from the specified regions is decided and the required machine-hours, inventory and workforce decisions are made. Besides, both weight-based and unit-based WEEE recovery targets are separately considered, as a unique aspect. A sensitivity analysis is conducted with various scrap prices to understand operations planning in changing conditions. Results show that weight-based targets enhance recovery amounts.
三重底线概念表明,除了经济方面,企业还必须考虑其决策对环境和社会的影响。因此,可以达到公司业务的可持续性。本研究的目的是在考虑社会(劳动力)约束的情况下,为电子电气废弃物(WEEE)回收设施的运营规划建立一个双目标、多产品和多周期的混合整数模型。主要目标是净回收和物流成本的最小化,由回收材料销售所获得的利润所抵消,第二个目标是有害物质回收的最大化。决定从指定区域收集使用过的产品,并做出所需的机器工时、库存和劳动力决策。此外,基于权重和基于单元的报废电子电气设备回收目标作为一个独特的方面被分开考虑。对不同的废料价格进行敏感性分析,以了解在不断变化的条件下的操作计划。结果表明,以体重为基础的目标提高了恢复量。
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引用次数: 7
期刊
International Journal of Optimization and Control: Theories and Applications
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