SOLUTON FOR A CLASS NONLINEAR INTEGER PROGRAMMING

This paper discusses the optimalty condition of a class of nonlinear integer programming and the algorithm to solve this problem.     

A CONSTITUTIVE FUNCTION FOR A NONLINEAR ANALYSIS OF STRUCTURES OF LINEAR ELEMENTS

In this paper, a constitutive function in form of integration is presented for a nonlinear analysis of structures of linear elements. With applications of a constitutive function, the truss and frame elements material nonlinear stiffness equations are derived. The results shows the convenience in numerical analysis and the ability to solve some difficult problems in tn the structural behavior study both in loading and unloading process by use of the presented constitutive function.     

A NONLINEAR PROGRAMMING MODEL AND ITS ALGORITHM FOR TRANSMISSION NETWORK PLANNING

The problem of transmission network planning is studied thoroughly by applying the mathmatical optimal tecqhniue in this paper. A novel approach is put forward for computer aided transmission network planning, which is quite different from what is based on D.C. load flow equations. A nonlinear transmission planning model is set up by regarding A.C. load flow equations as the system model. A practical model which can be solved more easily, and an united algorithm are obtained by applying the SUMT to the nonlinear model. The results of some practical examples indicate that this method can not only make the planning results more accurate, but also provide the voltage qualities and produce planning plans autometically and seek the plans optimally and fast.     

ON THE EXISTENCE OF LIMIT CYCLES OF A CLASS NONLINEAR EQUATION

This paper uses the Poincare-Bendixson's annular region theorem with existenceof limit cycles of a cfass of nonlinear differential equation.     

APPLICATION OF DECOMPOSITION COORDINATION METHOD OF LARGE - SCALE SYSTEMS AND METHOD OF NONLINEAR PROGRAMMING TO ECONOMIC SCHEDULING OF POWER SYSTEM

In this paper,we discuss a mathematical mode) for optimization of active power dispatch of large-scale hydro-thermal power systems with cascaded hydropower stations. The following factors are taken into account: the variation of the head in the hydropower stations, water transport delay between cascaded stations etc. Using the decomposition-coordination method of large scale systems, we obtain a three-layer-hierarchical coordination system and a three-layer-hierarchical computational structure. We also discuss the computational methods which are used by each hierarchy. We have taken a test computation and analysing the result of an actual hydrothermal power system. The computational results show that it may obtain a satisfactory economic benefit. The paper provides some research work on the economic scheduling of hydrothermal power systems by the decomposition-coordination method of large-scale systems,multiplier method and a new variable metric method.     

MINIMAX INEQUALITY FOR VECTOR-VALUED FUNCTION

Minimax inequality is proposed in this paper.The minimax inequality for affinecontinuous vector-valued mapping is established.A kind of the minimax inequality for set-valuedmapping is derived.     

A NEW APPROACH OF OPTIMIZATION

In this paper, a necessary optimality condition of problems with equality constraints is investigated by the implicit function theorem in n-dimensional Euclidean space. A new approach solving these problems is obtained. The number of dimensions of corresponding system of equations is less than the classic Lagrangian multiplier method.     

Descending Dimension Algorithm of Nolinear Programming Problem with Linear Inequality Constraints

The general nonlinear programming with linear constraints was investigated. In the algorithm, the method of contributing set was used. Comparing with the general contributing set method, the descending dimension method was used to solve the sub-problem with equality constraints in iterative procedure and the problem with inequality constraints. The algorithm is effective by the numerical test. Finally, it was proved that the iteration points are descending, when the objective functions are convex.     

A METHOD FOR THE ORIENTATION OF CHINESE CHARACTERS IN THE INTERFACE PROGRAMMING OF AUTO CAD DXF DOCUMENT

The orientation of Chinese characters is very importantin the interface programming design of Auto CAD DXF documents.Beca-use some parameters are automatically computed by the Auto CADsystem,it is very difficult for Chinese characters to be oriented in DXFinterface programmings.This paper reports the calculating method of ori-ented parameters and the orientation method of Chinese characters in theinterface programming of DXF documents,and gives a general Fortran 77subroutine for the orientation of Chinese characters.The method solves thedifficulty of the orientation of Chinese characters in the interface program-mings of DXF documents,and makes it convenient for various CAD pic-tures to be oriented in Chinese Characters.     

A DUAL PROBLEM OF INFINITE-DIMENSIONAL LINEAR PROGRAMMING

In this paper,the concept of bifunction is introduced for the linear programming defined on the locally convex topological linear space.Theexistence of the solutions of the primal problem and its dual problem is discussed.And the relation between the primal problem and its dual problem is given.     

TRUST REGION METHODS FOR NONLINEAR EQUALITY CONSTRAINED OPTIMIZATION

This paper presents two trust region algorithms for solving general nonlinear equality constrained optimization problems. The different techniques are used in minimizing a quadrdtic approximate model of the original optimization problems in trust region. By the convergence analysis, the global convergences and local superlinear convergences of the algorithms are obtained. Finally,the implementations of the algorithms are given.     

VARIATION OF LOCALLY LIPSCHITZ FUNCTION ON FINSLER MANIFOLD

In this paper, we generalize the generalized gradient of clarke on Banach manifold to the case of Finsler manifold and discuss the variational property of corresponding locally Lipschitz function, such as pseudo-gradient vector field, deformation lemma and Morse inequality.     

RESEARCH ON A KIND OF GREY LINEAR PROGRAMMING AND THEIR DUAL THEORIES

In this paper, a kind of grey linear programming with grey interval coefficients is discussed,the definitions of the first and second whitenized linear programmlngs and the grey dual linear programmings are presented, the relationships between the solutions of the above three kinds of programming and the solution of the primal programming are explored, and some new conclusions are obtained.     

TOPOLOGICAL JUDGEMENT OF EXISTENCE AND UNIQUENESS FOR THE SOLUTIONS OF NONLINEAR RESISTIVE CIRCUITS

This paper reviews the recent developments in the research of existence and uniqueness for the solutions of resistive circuits with topological approach. The relative fundamental results are demonstrated with some application examples. The physical interpretation and limitation of the topological criteria are also given.     

CLOSURE FUNCTION OF CONVEX FUNCTION AND NONCONVEX FUNCTION IN HILBERT SPACE

This paper presents that the closure function of convex func-tion in Hilbert space is definied by affine function approximation.On the ba-sis of closure function of convex function,closure function of nonconvex func-tion is introduced by concept of convex hull function.Some properties ofclosure function of convex function and nonconvex function are discussed.     

INTRODUCTION TO A NEW AUTOPROGRAMMING SYSTEM FOR NC LATHE

This paper deals with the BCH autoprogramming system based on the principle of "representing shap with numbers", With this system, the organization of turning process can be accomplished by inputting only some codes and a few characteristic parameters, and the NC block instructions to control the NC lathe via control unit can be output in turn so that it is possible to write a part program at the shop floor which is benifitian for developing a new programming method to be used in a multistage computer manage system with communicating interface.