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Selection of materials by multi-criteria methods applied to the side of a self-supporting structure for light vehicles 应用多标准方法选择轻型车辆自支撑结构侧面的材料
Pub Date : 2020-03-09 DOI: 10.1504/ijmor.2020.105844
R. Loor, Javier Martinez Gomez, J. Rocha-Hoyos, Edilberto Antonio Llanes Cedeño
The selection of materials is an important stage in the design and development of products, but considering the enormous amount of materials available on the market that have different properties and characteristics, defining suitable and ideal alternatives is a difficult task. Within the automotive area there is a tendency to develop vehicles with greater efficiency and capacity, keeping aside the economic implications without underestimating the functionality of the materials. The use of multi-criteria methods (MCDM) allows the establishment of a reliable selection methodology, due to the interaction between each of the criteria with statistical methods that converge in a single solution. The methodology used in this study was based on the application of MCDM methods, and the comparison between them to determine a convergence in the alternatives of greater potential for the structural section of vehicles. Four methods were evaluated: TOPSIS, COPRAS, VIKOR, PROMETHEE II, obtaining that for all the methods the best material corresponds to the Martensitic Steel YS1200, being this the most appropriate one when fulfilling structural requirements, as well as providing a reduction of weight and price.
材料的选择是产品设计和开发的一个重要阶段,但考虑到市场上有大量具有不同性能和特性的材料,确定合适和理想的替代品是一项艰巨的任务。在汽车领域,有一种趋势是开发具有更高效率和容量的车辆,在不低估材料功能的情况下不考虑经济影响。多标准方法(MCDM)的使用允许建立可靠的选择方法,因为每个标准与收敛于单个解决方案的统计方法之间的相互作用。本研究中使用的方法是基于MCDM方法的应用,以及它们之间的比较,以确定车辆结构部分更大潜力的替代方案的收敛性。评估了四种方法:TOPSIS, COPRAS, VIKOR, PROMETHEE II,得到了所有方法中最好的材料对应于马氏体钢YS1200,因为这是满足结构要求的最合适的材料,同时也减轻了重量和价格。
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引用次数: 1
Trapezoidal intuitionistic fuzzy number with some arithmetic operations and its application on reliability evaluation 梯形直觉模糊数及其在可靠性评价中的应用
Pub Date : 2020-02-01 DOI: 10.1504/IJMOR.2013.050512
A. K. Shaw, T. Roy
In fuzzy mathematics fuzzy system reliability can be analysed by fuzzy sets. We can use various types of fuzzy sets for that analyzing the fuzzy system reliability but here we specially used intuitionistic fuzzy set theory. At first, TrIFNs and their arithmetic operations are introduced. Expressions for computing the fuzzy reliability of a series system, parallel system, series-parallel and parallel-series system following TrIFNs have been described. Here an imprecise failure to start of a truck is taken. To compute the imprecise failure of the above said system, failure of each component of the systems is represented by Trapezoidal Intuitionistic Fuzzy Number. This process can be utilise to measure the failure is various aspects like portfolio in stock market etc. The numerical expression also calculated and presented in this paper for the failure to start of a truck using TrIFN.
在模糊数学中,模糊系统的可靠性可以用模糊集来分析。我们可以使用各种类型的模糊集来分析模糊系统的可靠性,但这里我们特别使用直觉模糊集理论。首先介绍了trifn及其算术运算。给出了三分频下串联系统、并联系统、串并联系统和并联串联系统的模糊可靠度计算表达式。这里拍摄了一辆卡车无法精确启动的例子。为了计算上述系统的不精确失效,系统各组成部分的失效用梯形直觉模糊数表示。这个过程可以用来衡量失败的各个方面,如投资组合在股票市场等。本文还计算并给出了货车使用三振网无法启动的数值表达式。
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引用次数: 34
Numerical methods for first order uncertain stochastic differential equations 一阶不确定随机微分方程的数值方法
Pub Date : 2019-12-20 DOI: 10.1504/IJMOR.2019.10016984
J. Chirima, Eriyoti Chikodza, S. D. Hove-Musekwa
Uncertain stochastic calculus is a relatively new sub discipline of mathematics. This branch of mathematical sciences seeks to develop models that capture aleatory and epistemic features of generic uncertainty in dynamical systems. The growth of uncertain stochastic theory has given birth to a novel class of differential equations called uncertain stochastic differential equations (USDEs). Exact and analytic solutions to this family of differential equations are not always available. In such cases, numerical analysis provides a gateway to approximate solutions. This paper examines a Runge-Kutta method for solving USDEs. Before examining and applying the Runge-Kutta method, the paper states and proves the existence and uniqueness theorem. The Runge-Kutta method is then applied to solve an American call option pricing problem. This numerical algorithm proves to be effective and efficient because it produces almost the same results as compared to Chen's analytic formula and the classical Black-Scholes model.
不确定随机微积分是一门相对较新的数学分支学科。数学科学的这一分支寻求发展模型,捕捉动态系统中一般不确定性的随机和认知特征。不确定随机理论的发展产生了一类新的微分方程,称为不确定随机微分方程(USDEs)。这类微分方程的精确解和解析解并不总是可用的。在这种情况下,数值分析提供了近似解的途径。本文研究求解USDEs的龙格-库塔法。在检验和应用龙格-库塔方法之前,首先说明并证明了存在唯一性定理。然后应用龙格-库塔方法求解美式看涨期权定价问题。这种数值算法被证明是有效和高效的,因为它产生的结果与Chen的解析公式和经典的Black-Scholes模型几乎相同。
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引用次数: 3
Multi-release software reliability growth assessment: an approach incorporating fault reduction factor and imperfect debugging 多版本软件可靠性增长评估:一种结合故障减少因子和不完全调试的方法
Pub Date : 2019-09-20 DOI: 10.1504/IJMOR.2019.10016194
A. Aggarwal, N. Gandhi, Vibha Verma, Abhishek Tandon
In the last few decades, a plenty of software reliability growth models with diverse parameters have been formulated and proposed to assess software trustworthiness. Fault reduction factor (FRF) is one such significant factor which has been incorporated in numerous reliability modelling researches in past and results have proved its importance on reliability growth phenomenon. To keep pace with rising demands of the market, software development firms keep upgrading their products in terms of new features and by providing rectification of previously reported defects. In this paper, an SRGM based on NHPP integrating imperfect debugging and time-variable FRF is proposed for multi-release software systems. The model is then tested on the failure datasets of multiple releases of Tandem Computers and Firefox OSS. The experimental results for each release are compared with their corresponding perfect debugging model. Results illustrate that the proposed model fits the failure data well, outperforming perfect debugging model.
在过去的几十年里,人们制定并提出了大量具有不同参数的软件可靠性增长模型来评估软件的可信度。故障减少因子(FRF)就是其中一个重要的因素,在过去的许多可靠性建模研究中都被纳入其中,结果证明了它对可靠性增长现象的重要性。为了跟上不断增长的市场需求,软件开发公司不断在新特性方面升级他们的产品,并提供对先前报告的缺陷的纠正。针对多版本软件系统,提出了一种集不完全调试和时变频响于一体的基于NHPP的SRGM算法。然后在Tandem Computers和Firefox OSS的多个版本的故障数据集上对该模型进行了测试。每个版本的实验结果与相应的完善调试模型进行了比较。结果表明,该模型与故障数据拟合较好,优于完善的调试模型。
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引用次数: 18
Solid transportation problem under fully fuzzy environment 全模糊环境下的固体运输问题
Pub Date : 2019-09-20 DOI: 10.1504/ijmor.2019.10024149
A. Baidya, U. Bera
Transportation policy seeks to improve agency freight and cargo management and enhance sustainable, efficient and effective transportation operations. In this paper, the profit maximisation solid transportation problem under fully fuzzy environment is formulated. In this model formulation the transportation parameters and decision variables both are considered as fuzzy in nature. Also, an additional new constraint on the complete budget at each destination is imposed. Five new approaches are proposed to defuzzify the fully fuzzy model. The nearest interval approximation is used to convert the fully fuzzy model into its equivalent interval form. The interactive fuzzy satisfying technique and different interval approaches are used to determine the crisp equivalent of the objective function and constraints of the proposed model. The reduced deterministic model was solved using generalised reduced gradient techniques (GRG technique). A numerical example is provided to illustrate the model and methodology and finally, the obtained results are compared.
运输政策旨在改善代理货运和货物管理,加强可持续、高效和有效的运输操作。本文建立了全模糊环境下的利润最大化固体运输问题。在该模型中,运输参数和决策变量都是模糊的。此外,还对每个目的地的完整预算施加了额外的新约束。提出了五种新的方法来消除全模糊模型的模糊性。利用最近邻区间逼近将全模糊模型转化为等价区间形式。采用交互式模糊满足技术和不同区间方法确定了模型目标函数和约束条件的清晰等价。采用广义约简梯度技术(GRG)求解约简确定性模型。最后通过数值算例对模型和方法进行了说明,并对所得结果进行了比较。
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引用次数: 2
A boundary-point LP solution method and its application to dense linear programs 边界点LP解法及其在密集线性规划中的应用
Pub Date : 2019-08-09 DOI: 10.1504/IJMOR.2019.10023112
Chanaka Edirisinghe, W. Ziemba
This paper presents a linear programming solution method that generates a sequence of boundary-points belonging to faces of the feasible polyhedron. The method is based on a steepest descent search by iteratively optimising over a two-dimensional cross section of the polyhedron. It differs from extreme point algorithms such as the simplex method in that optimality is detected by identifying an optimal face of the polyhedron which is not necessarily an extreme point. It also differs from the polynomial-time methods such as the ellipsoid algorithm or projective scaling method that avoids the boundary of the feasible polyhedron. Limited computational analysis with an experimental code of the method, EZLP, indicates that our method performs quite well in total solution time when the number of variables and the density of the constraint matrix increase.
本文提出了一种线性规划求解方法,该方法生成了一组属于可行多面体的面的边点序列。该方法基于最陡下降搜索,通过迭代优化多面体的二维截面。它与单纯形法等极值点算法的不同之处在于,通过识别多面体的最优面来检测最优性,而多面体的最优面不一定是极值点。它也不同于多项式时间方法,如椭球算法或投影标度法,避免了可行多面体的边界。有限的计算分析表明,当约束矩阵的变量数和密度增加时,该方法在总求解时间上有很好的表现。
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引用次数: 0
Using a multi-criteria decision making approach to select the optimal freeway rout (case study: Isfahan-Shiraz Freeway) 采用多准则决策方法选择最优高速公路路线(以伊斯法罕-设拉子高速公路为例)
Pub Date : 2019-08-09 DOI: 10.1504/IJMOR.2019.10023116
A. Vanaki, Jalil Heidary Dahooie, Navid Mohammadi
Road construction problems are one of the important factors in countries. The effects of multiple parameters on the decision making process to determine the optimal route have made this choice a specialised issue for decision-makers. In this regard, this paper aims to select the optimal route for Isfahan-Shiraz freeway using MADM approaches. For this purpose, in order to weight and select the optimal route, the extended dynamic fuzzy GRA method is used. The results show that road longevity, views of the NGOs, route integrity and ease of tracking are identified as the highest-weighted criteria in the prioritisation of the route variant. To evaluate the validity of the results of the GRA method, the problem is examined by using the, COPRAS-IVIF, ARAS-IVTF, WASPAS-IVIF, TOPSIS-IVIF and MULTIMOORA-IVIF methods. In addition, route 3 that takes priority over others is also chosen, in practice, as the main basis for the work.
道路建设问题是影响国家经济发展的重要因素之一。在确定最优路线的决策过程中,多种参数的影响使这一选择成为决策者的一个专门问题。在这方面,本文旨在利用MADM方法选择伊斯法罕-设拉子高速公路的最优路线。为此,采用扩展的动态模糊GRA方法对最优路线进行加权和选择。结果表明,道路寿命、非政府组织的观点、路线完整性和易于跟踪被确定为路线变体优先级的最高加权标准。为了评估GRA方法结果的有效性,采用COPRAS-IVIF、ARAS-IVTF、WASPAS-IVIF、TOPSIS-IVIF和MULTIMOORA-IVIF方法对问题进行了检验。此外,在实践中也选择了优先于其他路线的3号路线作为工作的主要依据。
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引用次数: 1
MAP/PH(1), PH(2)/2 finite retrial inventory system with service facility, multiple vacations for servers MAP/PH(1), PH(2)/2有限再审库存系统,具有服务设施,服务器可多次休假
Pub Date : 2019-08-09 DOI: 10.1504/IJMOR.2019.10023110
C. Suganya, B. Sivakumar
In this paper, we consider a retrial (s, S) inventory system with multiple server vacations for two heterogeneous servers. We have assumed that the customers arrive according to a Markovian arrival process and two parallel servers who provide heterogeneous phase type services to customers. The lead times for the orders are assumed to have independent and identical exponential distributions. The vacation times of both servers are assumed to be independent and identically distributed exponential random variables. The arriving customer who finds both servers are busy or both servers are on vacation, joins an orbit of finite size. These orbiting customers retry for their demand after a random time, which is assumed to be exponential distribution. Some important performance measures are obtained and the optimality of an expected total cost rate is shown through numerical illustration.
在本文中,我们考虑了具有多个服务器休假的两台异构服务器的重试(s, s)库存系统。我们假设客户根据马尔可夫到达过程到达,并且有两个并行服务器为客户提供异构阶段类型的服务。假设订单的交货时间具有独立且相同的指数分布。假设两台服务器的休假时间是独立的、同分布的指数随机变量。到达的客户如果发现两个服务器都很忙,或者两个服务器都在度假,就会加入一个有限大小的轨道。这些轨道客户在随机时间后重试他们的需求,假设这是指数分布。得到了一些重要的性能指标,并通过数值说明了期望总成本率的最优性。
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引用次数: 9
A new ranking technique on heptagonal fuzzy numbers to solve fuzzy transportation problem 求解模糊运输问题的一种新的七方模糊数排序技术
Pub Date : 2019-08-09 DOI: 10.1504/IJMOR.2019.10023114
P. Malini
In this work, a general fuzzy transportation problem model is discussed and proposed a new ranking procedure to the heptagonal fuzzy numbers using which convert any fuzzy valued transportation problem to a crisp valued transportation problem which then could be solved using the MODI method. The proposed method serves as an efficient method in ranking heptagonal fuzzy numbers which is illustrated through a numerical example. The purpose of this paper is to give a new ranking index to rank fuzzy numbers effectively. Fuzzy numbers cannot be easily ordered as ordinary real numbers. Several proposals have addressed this problem, each with some drawbacks and limitations. This paper renounces to the idea of finding a universal ordering method for fuzzy numbers.
本文讨论了一种通用的模糊运输问题模型,并提出了一种新的七方模糊数排序方法,该方法将任意模糊值运输问题转化为一个清晰值运输问题,然后用穆迪方法求解。该方法是对七方模糊数进行排序的一种有效方法,并通过一个算例进行了说明。本文的目的是给出一种新的排序指标来对模糊数进行有效的排序。模糊数不能像普通实数那样容易地排序。有几个建议解决了这个问题,每个都有一些缺点和局限性。本文放弃了寻找模糊数的通用排序方法的思想。
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引用次数: 4
A new approach for solving fully fuzzy linear programming problem 求解全模糊线性规划问题的一种新方法
Pub Date : 2019-08-09 DOI: 10.1504/IJMOR.2019.10023109
S. Das, T. Mandal, D. Behera
This paper presents the limitations of citeku for solving a fully fuzzy linear programming (FFLP) problem. And accordingly to overcome these limitations a new method has been proposed by using the ranking function. We have considered a FFLP problem with mixed constraints where decision variables are represented by non-negative fuzzy numbers. Triangular convex normalised fuzzy sets are considered for the analysis. To illustrate the applicability and efficiency of the proposed method various numerical examples have been solved and obtained results are discussed.
本文给出了citeku在求解全模糊线性规划问题时的局限性。为了克服这些局限性,本文提出了一种利用排序函数的新方法。我们考虑了一个带有混合约束的FFLP问题,其中决策变量由非负模糊数表示。采用三角凸归一化模糊集进行分析。为了说明所提方法的适用性和有效性,文中对各种数值算例进行了求解,并对所得结果进行了讨论。
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引用次数: 9
期刊
Int. J. Math. Oper. Res.
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