(V_s,V_t)平面双流网络中的最小费用最大双流

本文利用（υ_ｓ，υ_ｔ）平面双流网络的平面性，找出并证明了该网络中最小费用双流的充要条件，最后给出了一个算法并估计了复杂性．     

An algorithm for single-item economic lot-sizing problem with general inventory cost, non-decreasing capacity, and non-increasing setup and production cost

This paper considers an economic lot-sizing model with non-decreasing capacity constraint, non-increasing setup cost and production cost, and a general inventory cost. We prove that when periodic starting inventory is not less than a certain critical value, it is optimal to produce nothing; this critical value can be computed easily which results in a new effective algorithm.     

LMS估计与岩性反演

该文介绍一类岩性反演问题．从理论上分析LMS估计的结构。在空间齐次假设下，得到不变矩阵α＝（αij）的递推计算关系．同时，建立一种计算机模拟岩性的算法，该算法被实践证明是有效的．     

由NMR获取原子间距离约束计算蛋白质三维结构

提出一种以核磁共振(NMR)技术获取蛋白质分子多肽链中原于对(主要是H—H对)的距离约束,来计算蛋白质在溶液中的三维结构的方法。这种方法把肽平面之间的二面角当作独立变量,通过从局部到整体逐渐最优化的方法使适当构造的目标函数最小,计算出这些二面角,以及主链每个残基上六种原子N、H~N、C~α、H~α、C′、O的空间坐标.本方法已编写成计算程序DISNMA,并以碱性胰蛋白酶抑制剂(BPTI)为标准结构,得到了很好的验证.     

置换群关于变换后基的强生成集的算法

本文给出置换群关于变换后的基的强生成集的一种算法及其理论证明,并讨论了既约强生成集和最小强生成集的问题。     

Algorithm of Barrier Objective Penalty Function

In this paper, an algorithm of barrier objective penalty function for inequality constrained optimization is studied and a conception–the stability of barrier objective penalty function is presented. It is proved that an approximate optimal solution may be obtained by solving a barrier objective penalty function for inequality constrained optimization problem when the barrier objective penalty function is stable. Under some conditions, the stability of barrier objective penalty function is proved for convex programming. Specially, the logarithmic barrier function of convex programming is stable. Based on the barrier objective penalty function, an algorithm is developed for finding an approximate optimal solution to an inequality constrained optimization problem and its convergence is also proved under some conditions. Finally, numerical experiments show that the barrier objective penalty function algorithm has better convergence than the classical barrier function algorithm.     

Second-order and higher-order multivariate calibration methods applied to non-multilinear data using different algorithms

We discuss and evaluate the current state of second-order and higher-order multivariate calibration methods devoted to the determination of compounds in non-multilinear data systems. We examine possible causes of multilinearity deviations:

(1)

a non-linear relationship between signal and analyte concentration;

(2)

a signal for a given sample that is non-multilinear; and,

(3)

component profiles that are not constant across the different samples.

We discuss the advantages and the limitations of the algorithms available to cope with these different situations.The review covers relevant analytical problems found in samples of environmental and biological interest, highlighting some significant examples, and evaluating the advantages and the limitations of the different algorithms available.     

Multiobjective optimization scheme for industrial synthesis gas sweetening plant in GTL process

In industrial amine plants the optimized operating conditions are obtained from the conclusion of occurred events and challenges that are normal in the working units. For the sake of reducing the costs, time consuming, and preventing unsuitable accidents, the optimization could be performed by a computer program. In this paper, simulation and parameter analysis of amine plant is performed at first. The optimization of this unit is studied using Non-Dominated Sorting Genetic Algorithm-II in order to produce sweet gas with CO 2 mole percentage less than 2.0% and H 2 S concentration less than 10 ppm for application in Fischer-Tropsch synthesis. The simulation of the plant in HYSYS v.3.1 software has been linked with MATLAB code for real-parameter NSGA-II to simulate and optimize the amine process. Three scenarios are selected to cover the effect of (DEA/MDEA) mass composition percent ratio at amine solution on objective functions. Results show that sour gas temperature and pressure of 33.98 ? C and 14.96 bar, DEA/CO 2 molar flow ratio of 12.58, regeneration gas temperature and pressure of 94.92 ? C and 3.0 bar, regenerator pressure of 1.53 bar, and ratio of DEA/MDEA = 20%/10% are the best values for minimizing plant energy consumption, amine circulation rate, and carbon dioxide recovery.