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An application of fuzzy linear modeling: prediction of uncertainty for beta-glucan content 模糊线性模型在β -葡聚糖含量不确定度预测中的应用
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-05-02 DOI: 10.11121/IJOCTA.01.2019.00664
Özlem Türkşen, S. Ertunç
Beta-glucan (BG) has positive health effects for the mamalians. However, the BG sources have limited content of it. Besides, the production of the BG has stringent procedures with low productivity. Economical production of the BG needs the improvement of the BG production steps. In this study, it is aimed to improve the BG content during the first step of the BG production, microorganism growth step, by obtaining the optimal values of additive materials (EDTA, CaCl2 and Sorbitol). For this purpose, the experimental data sets with replicated response measures (RRM) are obtained at spesific levels of EDTA, CaCl2 and Sorbitol. Fuzzy modeling, a flexible modeling approach, is applied on the experimental data set because of the small sized data set and diffulty of satisfying probabilistic modeling assumptions. The predicted fuzzy function is obtained according to the fuzzy least squares approach. In order to get the optimal values of EDTA, CaCl2 and Sorbitol, the predicted fuzzy function is maximized based on multi-objective optimization (MOO) approach. By using the optimal values of EDTA, CaCl2 and Sorbitol, the uncertainty for predicted BG content is evaluated from the economic perspective.
-葡聚糖(BG)对哺乳动物的健康有积极的影响。然而,BG来源的内容有限。此外,BG的生产程序严格,生产率低。天然气的经济生产需要改进天然气的生产步骤。在本研究中,通过对添加剂(EDTA、CaCl2和山梨糖醇)的优化,旨在提高生产BG的第一步,即微生物生长步骤中BG的含量。为此,在EDTA、CaCl2和山梨醇的特定水平下,获得了具有重复响应测量(RRM)的实验数据集。模糊建模是一种灵活的建模方法,由于实验数据集规模小,且难以满足概率建模假设。根据模糊最小二乘法得到预测模糊函数。为了得到EDTA、CaCl2和山梨醇的最优值,基于多目标优化(MOO)方法对预测模糊函数进行最大化。利用EDTA、CaCl2和山梨糖醇的最优值,从经济角度评价预测BG含量的不确定性。
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引用次数: 0
On the explicit solutions of fractional Bagley-Torvik equation arises in engineering 工程中出现了分数阶Bagley-Torvik方程的显式解
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-05-02 DOI: 10.11121/IJOCTA.01.2019.00638
Zehra Pinar
In this work, Bagley-Torvik equation is considered with conformable derivatives. The analytical solutions will be obtained via Sine-Gordon expansion method and Bernouli equation method for the two cases of Bagley-Torvik equation. We will illustrate and discuss about the methodology and solutions therefore the proposed equation has meaning in different areas of science and engineering.
本文考虑了具有相容导数的Bagley-Torvik方程。对于Bagley-Torvik方程的两种情况,分别通过sin - gordon展开法和Bernouli方程法得到解析解。我们将说明和讨论方法和解决方案,因此提出的方程在科学和工程的不同领域具有意义。
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引用次数: 11
Credibility based chance constrained programming for project scheduling with fuzzy activity durations 基于可信度的模糊工期项目调度问题
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-04-30 DOI: 10.11121/IJOCTA.01.2019.00631
O. A. Arık
This paper proposes a credibility based chance constrained programming approach for project scheduling problems with fuzzy activity durations where the objective is to minimize the fuzzy project completion time. This paper expresses the fuzzy events such as a project activity’s duration or project completion time with fuzzy chance constraints and the chance of a fuzzy event is illustrated with fuzzy credibility distribution. Due to uncertainty in durations of a project, fuzzy sets and fuzzy numbers can be used in order to illustrate the uncertainty and find a solution space for the problem. Therefore, fuzzy credibility based chance constraint technique is investigated for project scheduling problems with fuzzy activity durations considering the uncertainty or chance of a fuzzy event within a closed interval. In this paper, a fuzzy mathematical model and its crisp equivalent by using credibility measure and chance-constrained programming are given for project scheduling problems with fuzzy activity durations.
针对活动时间模糊的项目调度问题,提出了一种基于可信度的机会约束规划方法,其目标是使模糊项目完成时间最小化。本文用模糊机会约束来表示项目活动持续时间或项目完成时间等模糊事件,并用模糊可信度分布来表示模糊事件的机会。由于项目持续时间的不确定性,模糊集和模糊数可以用来说明不确定性并找到问题的解空间。因此,考虑模糊事件在封闭区间内的不确定性或偶然性,研究了基于模糊可信度的模糊工期项目调度技术。本文利用可信度测度和机会约束规划,给出了具有模糊工期的项目调度问题的模糊数学模型及其清晰等价。
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引用次数: 5
Optimization of medical waste routing problem: The case of TRB1 region in Turkey 医疗废物路径问题的优化:以土耳其TRB1地区为例
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-04-29 DOI: 10.11121/IJOCTA.01.2019.00714
Suleyman Mete, Faruk Serin
A fundamental problem concerning medical waste disposal is the evaluation of the real and potential risks arising from waste with the focus on the risk of infection. Therefore, the optimization of medical waste routing from collection to disposal center can minimize the risk of infection. The routing of medical waste considers significant to determine potential routes and select the route with minimum distance. The management of the medical waste is important decision for environmental sustainability and includes the collection, transportation and disposal of these materials. In this paper, a geographic information system (GIS) solution approach is proposed to determine the best location of disposal center. Proposed approach is applied to medical waste transportation between 167 health institutions (collection centers) and predetermined 5 disposal centers through TRB1 region in Turkey, which consist of Malatya, Elaz??, Bingöl and Tunceli provinces. The results of case study are examined and suggestions for future research are provided.
医疗废物处理的一个根本问题是评估废物产生的实际和潜在风险,重点是感染风险。因此,优化医疗废物从收集到处置中心的路径可以最大限度地降低感染风险。医疗废物的路径选择对确定潜在路径和选择距离最小的路径具有重要意义。医疗废物的管理是环境可持续性的重要决定,包括这些材料的收集、运输和处置。本文提出了一种地理信息系统(GIS)解决方案来确定处置中心的最佳位置。拟议的方法适用于167个卫生机构(收集中心)与通过土耳其TRB1地区的预定5个处置中心之间的医疗废物运输,这些中心包括马拉蒂亚、埃拉兹?, Bingöl和通切里省。对案例研究的结果进行了分析,并对未来的研究提出了建议。
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引用次数: 3
Developing a package for analysis and design optimization of wind turbine systems 开发用于风力发电系统分析和设计优化的软件包
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-04-28 DOI: 10.11121/IJOCTA.01.2019.00614
U. Eminoglu, Ozan Karahan
The installation of wind turbines and consequently the use of wind energy is increasing day by day, since the rapid development in semiconductor technology has led to more advance in the wind turbine technologies. On the other hand, it is well known that a Graphical User Interface (GUI) application provides great advantages to the user such as; the use of programming language and data input for systems without coding, getting the results with the help of symbols, icons and other visual graphics. Accordingly, in this paper, to determine the amount of energy production, cost of energy and etc., of a Wind Turbine System (WTS) that has been established or will be installed, a tool is introduced by the presented software package. Besides the analysis option, the package also offers optimization algorithms that would be used for the layout design of types of Wind Turbine Systems which are called fixed-speed and variable-speed Wind Turbine Systems seperately by keeping in consideration the wind speed and geographic features of the regions. The graphical user interface, which is the one of important features of C# program were used and called Analysis & Design Optimization Package (A&DOP).
由于半导体技术的快速发展,使得风力涡轮机技术更加先进,因此风力涡轮机的安装和风能的利用日益增加。另一方面,众所周知,图形用户界面(GUI)应用程序为用户提供了巨大的优势,例如;使用程序设计语言和数据进行系统输入而无需编码,借助符号、图标等可视化图形来获得结果。因此,本文在本软件包中引入了一种工具,用于确定已建成或即将安装的风力发电系统(WTS)的发电量、能源成本等。除了分析选项外,该软件包还提供了优化算法,该算法将用于不同类型的风力涡轮机系统的布局设计,这些风力涡轮机系统分别被称为固定速度和可变速度风力涡轮机系统,同时考虑到风速和地区的地理特征。利用c#程序的重要特性之一图形用户界面,并将其称为分析与设计优化包(A&DOP)。
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引用次数: 0
Analysis of boride layer thickness of borided AISI 430 by response surface methodology 用响应面法分析渗硼AISI 430的渗硼层厚度
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-04-23 DOI: 10.11121/IJOCTA.01.2019.00660
Turker Turkoglu, I. Ay
The boriding process is a thermochemical surface treatment which can be applied to many iron and non-ferrous materials and improves the properties of the material such as hardness, wear resistance. In the present study, the layer thickness values of the boronized AISI 430 material were optimized using the Response Surface Methodology. Mathematical model was constructed using parameters such as temperature and time and the results were analyzed comparatively. As a result of the analysis, the optimum layer thickness value for AISI 430 material was obtained as 39.0183 µm for 1000 ºC and 5.9h and it was determined that the boriding temperature and time are effective on the boride layer formation process of AISI 430 material. Finally, the Response Surface Methodology and Face Centered Central Composite Design have been effectively applied to the boriding process.
渗硼工艺是一种热化学表面处理方法,可应用于许多铁和有色金属材料,提高材料的硬度、耐磨性等性能。本研究采用响应面法优化硼化AISI 430材料的层厚值。采用温度、时间等参数建立了数学模型,并对结果进行了比较分析。分析结果表明,在1000℃、5.9h的渗硼条件下,AISI 430材料的最佳渗层厚度为39.0183µm,确定了渗硼温度和渗硼时间对AISI 430材料的渗硼层形成过程是有效的。最后,将响应面法和面心中心复合设计有效地应用于渗硼工艺。
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引用次数: 2
A genetic algorithm for fuzzy order acceptance and scheduling problem 模糊订单接受与调度问题的遗传算法
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-04-23 DOI: 10.11121/IJOCTA.01.2019.00711
E. Karakaş, Hakan Özpalamutçu
In light of the imprecise and fuzzy nature of real production environments, the order acceptance and scheduling (OAS) problem is associated with fuzzy processing times, fuzzy sequence dependent set up time and fuzzy due dates. In this study, a genetic algorithm (GA) which uses fuzzy ranking methods is proposed to solve the fuzzy OAS problem. The proposed algorithm is illustrated and analyzed using examples with different order sizes. As illustrative numerical examples, fuzzy OAS problems with 10, 15, 20, 25, 30 and 100 orders are considered. The feasibility and effectiveness of the proposed method are demonstrated. Due to the NP-hard nature of the problem, the developed GA has great importance to obtain a solution even for big scale fuzzy OAS problem.  Also, the proposed GA can be utilized easily by all practitioners via the developed user interface.
鉴于实际生产环境的不精确性和模糊性,订单接受与调度问题与模糊处理时间、模糊序列依赖的建立时间和模糊到期日有关。本文提出了一种采用模糊排序方法的遗传算法来解决模糊OAS问题。用不同订单大小的实例对该算法进行了说明和分析。考虑了10阶、15阶、20阶、25阶、30阶和100阶的模糊OAS问题。验证了该方法的可行性和有效性。由于问题的NP-hard性质,所开发的遗传算法对于求解大规模模糊OAS问题具有重要意义。此外,所有从业者都可以通过开发的用户界面轻松地使用所提出的遗传算法。
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引用次数: 2
A comparison of some control strategies for a non-integer order tuberculosis model 非整数阶结核模型几种控制策略的比较
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-04-15 DOI: 10.11121/IJOCTA.01.2019.00657
T. Akman Yıldız
The aim of this paper is to investigate some optimal control strategies for a generalized tuberculosis model consisting of four compartments. We construct the model with the use of Caputo time fractional derivative. Contribution of distancing control, latent case finding control, case holding control and their combinations are discussed and the optimality system is obtained based on the Hamiltonian principle. Additionally, the non-negativity and boundedness of the solution are shown. We present some illustrative examples to determine the most effective strategy to minimize the number of infected people and maximize the number of susceptible individuals. Moreover, we discuss the contribution of the Caputo derivative and the order of the fractional derivative to efficiency of the control strategies.
本文的目的是研究由四个隔间组成的广义结核模型的一些最优控制策略。我们利用卡普托时间分数阶导数构造模型。讨论了距离控制、潜在情况发现控制、情况保持控制及其组合的作用,并基于哈密顿原理得到了最优系统。此外,还证明了解的非负性和有界性。我们提出了一些说明性的例子,以确定最有效的策略,以尽量减少感染人数和尽量增加易感个体的数量。此外,我们还讨论了Caputo导数和分数阶导数对控制策略效率的贡献。
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引用次数: 4
A new auxiliary function approach for inequality constrained global optimization problems 不等式约束全局优化问题的一种新的辅助函数方法
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-04-15 DOI: 10.11121/IJOCTA.01.2019.00671
Nurullah Yilmaz, A. Sahiner
In this study, we deal with the nonlinear constrained global optimization problems. First, we introduce a new smooth exact penalty function for constrained optimization problems. We combine the exact penalty function with the auxiliary function in regard to constrained global optimization. We present a new auxiliary function approach and the adapted algorithm for solving  non-linear inequality constrained global optimization problems. Finally, we illustrate the efficiency of the algorithm on some numerical examples.
在本研究中,我们处理非线性约束全局优化问题。首先,我们引入了一个新的光滑精确惩罚函数来求解约束优化问题。在约束全局优化问题中,我们将精确惩罚函数与辅助函数结合起来。提出了求解非线性不等式约束全局优化问题的一种新的辅助函数方法和自适应算法。最后,通过数值算例说明了该算法的有效性。
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引用次数: 1
Parameter effect analysis of particle swarm optimization algorithm in PID controller design 粒子群优化算法在PID控制器设计中的参数效应分析
IF 1.6 Q1 MATHEMATICS, APPLIED Pub Date : 2019-04-09 DOI: 10.11121/IJOCTA.01.2019.00659
M. S. Ayas, Erdinç Şahi̇n
PID controller has still been widely-used in industrial control applications because of its advantages such as functionality, simplicity, applicability, and easy of use. To obtain desired system response in these industrial control applications, parameters of the PID  controller should be well tuned by using conventional tuning methods such as Ziegler-Nichols, Cohen-Coon, and Astrom-Hagglund or by means of meta-heuristic optimization algorithms which consider a fitness function including various parameters such as overshoot, settling time, or steady-state error during the optimization process. Particle swarm optimization (PSO) algorithm is often used to tune parameters of PID controller, and studies explaining the parameter tuning process of the PID controller are available in the literature. In this study, effects of PSO algorithm parameters, i.e. inertia weight, acceleration factors, and population size, on parameter tuning process of a PID controller for a second-order process plus delay-time (SOPDT) model are analyzed. To demonstrate these effects, control of a SOPDT model is performed by the tuned controller and system response, transient response characteristics, steady-state error, and error-based performance metrics obtained from system response are provided.
PID控制器由于其功能简单、适用性强、使用方便等优点,至今仍在工业控制应用中得到广泛的应用。为了在这些工业控制应用中获得期望的系统响应,PID控制器的参数应该通过使用传统的整定方法(如Ziegler-Nichols, Cohen-Coon和astrm - hagglund)或通过元启发式优化算法进行很好的调谐,该算法考虑了适应度函数,包括各种参数,如超调、稳定时间或优化过程中的稳态误差。粒子群优化算法(Particle swarm optimization, PSO)常用于PID控制器的参数整定,文献中有解释PID控制器参数整定过程的研究。在本研究中,分析了PSO算法参数,即惯性权重、加速度因子和种群大小对二阶过程加延迟时间(SOPDT)模型的PID控制器参数整定过程的影响。为了演示这些效果,SOPDT模型的控制由调谐控制器和系统响应执行,提供了从系统响应获得的瞬态响应特性、稳态误差和基于误差的性能指标。
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引用次数: 3
期刊
International Journal of Optimization and Control: Theories and Applications
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