Fuzzy Weirstrass theorem and convex fuzzy mappings

The convexity and continuity of fuzzy mappings are defined through a linear ordering and a metric on the set of fuzzy numbers. The local-global minimum property of real-valued convex functions is extended to convex fuzzy mappings. It is proved that a strict local minimizer of a quasiconvex fuzzy mapping is also a strict global minimizer. Characterizations for convex fuzzy mappings and quasiconvex fuzzy mappings are given. In addition, the Weirstrass theorem is extended from real-valued functions to fuzzy mappings.     

应用PIMS选油模型实施进口原油优化选购

应用AspenTech公司PIMS软件，模拟炼油企业生产经营过程，综合考虑原油成本、产品价格以及长岭分公司炼油厂加工流程特点和产品质量等要求，建立了适用于该厂的原油选购模型。利用该模型对该企业2002年第三季度进口原油品种进行优化选择，对综合效益好的原油实施采购。实际生产数据表明，该模型比较准确。     

Analysis of an algorithm for solution of conditional optimization problems with linear-fractional objective functions over permutations

A method is considered to solve a conditional optimization problem with a linear-fractional objective function over permutations. The performance of sub algorithms to solve this problem is evaluated. The practical efficiency of the algorithm is analyzed by conducting numerical experiments. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 133–146, July–August 2007.     

裂齿矩形翅片板翅式换热器优化设计的分析

对裂齿矩形翅片板翅式换热器中的裂齿矩形翅片的传热效率作了分析,并以单位质量材耗的换热能力最大为目标函数,分析研究了在不同雷诺数(Re)的操作条件下裂齿矩形翅片间角度、翅片厚、长度、宽度及极厚之间的关系。结果表明:在气体换热的场合下,当Re在某一范围时翅片可有效地起到强化传热的作用。当板厚为5mm,翅片厚为3mm,翅片间夹角为45°～70°,Re为2×10~3～8×10~3,最佳翅片纵向间距与翅片长度和翅片厚度乘积的平方根的比为1.5～2.5,最佳翅片尺寸系数为3～5时,传热强化效果较好。     

空调器中多翼离心风机的噪声研究及结构优化

采用逐步回归法对大量的多翼离心风机实验数据进行拟合,针对家用空调行业中以噪声为其最重要 的考核标准,得出了噪声与叶轮结构参数及风机性能参数间的近似关系式,并以噪声为目标函数进行了优化计算。     

Anisotropic mesh adaption by metric‐driven optimization

We describe a Gauss–Seidel algorithm for optimizing a three‐dimensional unstructured grid so as to conform to a given metric. The objective function for the optimization process is based on the maximum value of an elemental residual measuring the distance of any simplex in the grid to the local target metric. We analyse different possible choices for the objective function, and we highlight their relative merits and deficiencies. Alternative strategies for conducting the optimization are compared and contrasted in terms of resulting grid quality and computational costs. Numerical simulations are used for demonstrating the features of the proposed methodology, and for studying some of its characteristics. Copyright © 2004 John Wiley & Sons, Ltd.     

电厂回热系统优化运行

本文分析了高压加热器不能正确投入运行的原因，并提出了相应的改进和优化措施。     

油气集输系统新增产能建设拓扑优化方法研究

在油气集输新增产能建设中,为充分利用已建管网系统的处理能力,达到降低投资,提高经济效益的目的,进行了油气集输新增产能建设布局优化方法的研究。针对新建集输管网为树状结构的情况,建立了油气集输系统新增产能建设拓扑优化的数学模型,讨论了计算复杂性问题。根据模型的特点,将问题分解为拓扑级优化和几何级优化两个子问题,并通过它们之间的迭代进行求解。实例计算表明,所建立的数学模型正确,求解方法可行,能用于工程实际设计。     

Fuzzy Multiobjective and Linear Programming Based Management Models for Optimal Land-Water-Crop System Planning

In this article, linear programming and fuzzy optimization models are developed for planning and management of available land-water-crop system of Mahanadi-Kathajodi delta in eastern India. The models are used to optimize the economic return, production and labour utilization, and to search the related cropping patterns and intensities with specified land, water, fertilizer and labour availability, and water use pattern constraints. Due to extreme backwardness of the study area, it has been decided to keep all the three objectives of the linear programming models at the same priority level to obtain the compromised solution in a fuzzy environment that incorporates the imprecision in fuzzy goals and fuzzy constraints. These non-structural models facilitate the conjunctive use of available surface water and groundwater resources. A comparative evaluation along with the benefit-cost ratios of the existing and proposed farming systems is also presented.