检索结果-内蒙古大学图书馆

The Multiplier Method of Hestenes and Powell Applied to Convex programming

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 1973年第6期12卷 555-562页

作者： Rockafellar, R. T. Univ Washington Dept Math Seattle WA 98195 USA

For nonlinear programming problems with equality constraints, Hestenes and Powell have independently proposed a dual method of solution in which squares of the constraint functions are added as penalties to the Lagrangian, and a certain simple rule is used for updating the Lagrange multipliers after each cycle. Powell has essentially shown that the rate of convergence is linear if one starts with a sufficiently high penalty factor and sufficiently near to a local solution satisfying the usual second-order sufficient conditions for optimality. This paper furnishes the corresponding method for inequality-constrained problems. Global convergence to an optimal solution is established in the convex case for an arbitrary penalty factor and without the requirement that an exact minimum be calculated at each cycle. Furthermore, the Lagrange multipliers are shown to converge, even though the optimal multipliers may not be unique.

关键词： Optimization Theory Penalty Factor Nonlinear programming problem mathematical programming problem Convex Case

来源：评论

学校读者我要写书评

暂无评论

Alternance Method of Structural-Parametric Synthesis of Cascade Automatic Control Systems

引用

OPTOELECTRONICS INSTRUMENTATION AND DATA PROCESSING 2015年第5期51卷 441-448页

作者： Pleshivtseva, Yu. E. Afinogentov, A. A. Samara State Tech Univ Ul Molodogvardeyskaya 244 Samara 443100 Russia

This work is devoted to the technique of solving the problem of structural-parametric synthesis of typical controllers in a multiloop cascade automatic control system, which is developed on the basis of the alternance method of parametric optimization that provides the maximum degree of invariance of local control loops relative to external perturbations with given limitations on the peak of amplitude-frequency characteristics of closed loops of the synthesized automatic control system. The task of optimizing the subsystem for controlling the fuel oil temperature in a multiloop control system of primary oil refining on an atmospheric and vacuum crude distillation unit is considered as an example, which is of independent interest.

关键词： structural-parametric synthesis cascade control system alternance method of optimization mathematical programming problem typical controllers

来源：评论

学校读者我要写书评

暂无评论

A new technique for avoiding the Maratos effect

引用

COMPUTATIONAL MATHEMATICS AND mathematical PHYSICS 2009年第2期49卷 232-245页

作者： Izmailov, A. F. Moscow MV Lomonosov State Univ Fac Computat Math & Cybernet Moscow 119992 Russia

A well-known difficulty arising in the convergence globalization of Newton-type constrained optimization methods is the Maratos effect, which prevents these methods from achieving a superlinear convergence rate and, in many cases, reduces their general efficiency. For the sequential quadratic programming method with linesearch, a new simple and rather promising technique is proposed to avoid the Maratos effect.

关键词： mathematical programming problem sequential quadratic programming linesearch Maratos effect superlinear convergence rate

来源：评论

学校读者我要写书评

暂无评论

Characterizing solutions of rough programming problems

引用

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 2006年第3期168卷 1019-1029页

作者： Youness, EA Tanta Univ Fac Sci Dept Math Tanta Egypt

In this paper we define a new kind of mathematical programming problems. This kind, in which the decision set is a rough set, is called a rough programming problem. A rough optimal solution and a rough saddle point wi... 详细信息

关键词： rough set mathematical programming problem optimal solution saddle point

来源：评论

学校读者我要写书评

暂无评论

Shape-Dependent Velocity Based Droplet Routing Considering Droplet Separation on MEDA Biochips

Shape-Dependent Velocity Based Droplet Routing Considering D...

引用

International Technical Conference on Circuits/Systems, Computers, and Communications (ITC-CSCC)

作者： Hamachiyo, Yuta Mori, Kaito Kawakami, Tomohisa Shiro, Chiharu Nishikawa, Hiroki Tomiyama, Hiroyuki Yamashita, Shigeru Ritsumeikan Univ Kyoto Japan Osaka Univ Suita Osaka Japan

ISBN: (纸本)9798350379068;9798350379051

Micro Electrode Dot Array (MEDA) biochips have attracted attention in the fields of biochemistry and medicine. In this paper, we propose a droplet routing method for MEDA biochips that considers a shape-dependent velocity model and droplet separation. While previous studies have considered the shape-dependent velocity model, none have considered droplet separation. The proposed method aims to minimize the routing time of droplets from their source to sink locations by utilizing the change in velocity depending on the size and shape of the droplets and considering droplet separation. Experiments confirmed that the proposed method can find solutions with an average routing time 37% shorter than the existing method.

关键词： MEDA droplet routing mathematical programming problem

来源：评论

学校读者我要写书评

暂无评论

Calibration Estimation Using Proposed Distance Function 4

Calibration Estimation Using Proposed Distance Function

引用

4th Asia-Pacific World Congress on Computer Science and Engineering (APWConCSE)

作者： Lata, A. S. Rao, D. K. Khan, M. G. M. Univ South Pacific Sch Comp Informat & Math Sci Suva Fiji

ISBN: (纸本)9781538645307

Calibration estimation is a method of adjusting the original design weights in survey sampling to improve estimates. It uses calibrated weights that are determined to minimize a given distance measure to the original design weights while satisfying a set of constraints related to the auxiliary information. In this paper, a distance function is proposed. Using the proposed distance function, a calibration estimator of the population mean in stratified sampling is derived. The calibrated weights are determined by minimizing the proposed distance function subject to the constraint on the mean auxiliary information, using Lagrange Multiplier Technique. A numerical example is presented to illustrate the application and computational details of the proposed calibration estimator. A simulation study, based on a real population is also carried to investigate the efficiency of the proposed calibration estimator. The study reveals that the calibration estimator developed using the proposed distance function is more efficient than the estimators developed using the Chi-square distance.

关键词： Calibration estimation Distance function stratified sampling auxiliary information mathematical programming problem Lagrange multiplier technique

来源：评论

学校读者我要写书评

暂无评论

Minimization of Routing Area in MEDA Biochips

Minimization of Routing Area in MEDA Biochips

引用

IEEE Biomedical Circuits and Systems Conference (IEEE BioCAS)

作者： Shiro, Chiharu Nishikawa, Hiroki Kong, Xiangbo Tomiyama, Hiroyuki Yamashita, Shigeru Ritsumeikan Univ Grad Sch Sci & Engn Kyoto Japan Japan Soc Promot Sci Kyoto Japan Ritsumeikan Univ Coll Informat Sci & Engn Kyoto Japan

ISBN: (纸本)9781728172040

Micro-electrode dot array (MEDA) biochips are widely used due to dynamical control of the droplets in microfluidic manipulations. MEDA allows microelectrodes cells to transport droplets of different sizes for operations. For concurrent manipulation of multiple droplets, each droplet is initially placed at a distant position to avoid undesirable mixing, and the droplets travel a long way for the operations. In this paper, we propose a droplet routing method to minimize routing area in MEDA biochips, considering splitting of droplets during routing. Experiments demonstrate that our proposal can achieve a reduction in routing area compared to the state-of-the-art method.

关键词： Digital Microfluidics MEDA Droplet Routing mathematical programming problem

来源：评论

学校读者我要写书评

暂无评论

Second order monotonicities and second order variational-like inequality problems

引用

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO 2016年第1期65卷 123-137页

作者： Choudhury, Sarita Jayswal, Anurag Ahmad, I. Indian Sch Mines Dept Appl Math Dhanbad 826004 Jharkhand India King Fahd Univ Petr & Minerals Dept Math & Stat Dhahran 31261 Saudi Arabia

The purpose of this paper is to introduce the concept of generalized second order invex monotonicities and investigate the relations between generalized second order invex functions with the generalized second order invex monotonicities of their gradient functions. We also introduce the notion of second order variational-like inequality problem and explore the conditions for existence and uniqueness of their solutions. Furthermore, we relate the solution of a mathematical programming problem involving second order invex function with the solution of second order variational-like inequality problem. Also, we provide examples to verify our results.

关键词： Second order invexity Generalized second order monotonicity Second order variational-like inequality problem mathematical programming problem

来源：评论

学校读者我要写书评

暂无评论

Multi-Factor Efficiency Analysis of Structural Elements Placing on Trunk Oil Pipeline for the Optimal Design problem 21

Multi-Factor Efficiency Analysis of Structural Elements Plac...

引用

21st International Conference on Complex Systems - Control and Modeling problems (CSCMP)

作者： Afinogentov, Aleksandr Bagdasarova, Yuliya Fan, Irina Samara State Tech Univ Samara Russia

ISBN: (纸本)9781728167008

The article deals with the optimal design problem of the linear part of an oil trunk pipeline as the problem of choosing the best conditions for the structural elements placing. As an example, the optimal shut-off valves placing along the oil pipeline route is considered. The criterion of the minimum possible oil losses in case of accidents and scheduled repair operations of the pipeline is chosen as the criterion of the efficiency assessment of valve placing. An additional factor that characterizes the efficiency of design decisions is the choice of minimum possible categories of selected areas for the shut-off valves placing. Multi-factorial analysis makes it possible to choose the optimal combination of shut-off valves placing on the pipeline route and provides the minimum value of the possible oil losses in case of breakdowns and scheduled repairs of the pipeline and minimum operating costs depending categories of the places of valves location is carried out. It was based on the data envelopment analysis method (DEA). The DEA analysis algorithm is based on the solution of a special mathematical programming problem and allows one ranking the elements in the sample of the coordinates of the shut-off valves placing on the main oil pipeline by the degree of efficiency. This paper presents a method for optimal coordinate selection of shut-off valves on a typical section of the main oil pipeline between oil pumping stations.

关键词： oil trunk oil pipeline shut-off valves ecological damage minimization parametric optimization mathematical programming problem DEA-method

来源：评论

学校读者我要写书评

暂无评论

Determining the Optimum Strata Boundaries with Constant Cost Factor

Determining the Optimum Strata Boundaries with Constant Cost...

引用

Asia Pacific World Congress Computer Science Engineering

作者： Fonolahi, Aluwesi Volau Khan, M. G. M. Univ South Pacific Suva Fiji Univ South Pacific Sch Comp Informat & Math Sci Suva Fiji

ISBN: (纸本)9781479919550

The aim of survey design is to obtain optimum precision at minimum cost. Stratification is one of the commonly used methods of survey design. When using stratification one of the main problems to consider is the determination of optimum strata boundaries. This paper will discuss how to determine the optimum strata boundaries when the measurement cost per units varies across the strata. The problem is formulated as a mathematical programming problem and solved to obtain the strata width, which is then used to calculate the optimum strata boundaries. A numerical example using exponential study variables is presented to illustrate computational details of the procedure.

关键词： optimum strata boundaries cost mathematical programming problem exponential distribution

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：