Mixed integer programming (MIP) problem is a special math programming(MP) problem which include integer or discrete variables, and the type of problems was apllyed broadly in engineering. The algorithm of mixed integer programming problem is also an important problem in math programming.

Through designing altitude control system and trajectory simulation of some missile, the type of problems was solved successfully and reached a good engineering robust performance. This resolution provideded some conditions for the high speed control theory in application of the missile control engineering.

Second also study the convergence of the maximum entropy method for min max problems with convexity. The results obtained bring to light the reason why the maximum entropy method usually obtains highly precise solutions to this type of problems.

Two type of problems, which exist in the present project management for science research, are described: the problem of project management and the problem of information management.

However,compared with metaphor,metonymy has not been thoroughly studied,especially regarding what type of problems it presents to the second language learners in their acquisition of idioms.

For NP-complete combination optimization problems, there is no efficient algorithm to the solution of the problems. Consequently, heuristic algorithms may be used to solve such type of problems.

Applying an integral inequality well adapted to this type of problems we improve some earlier results of Lagnese and of Rao in two respects: we weaken and simplify their growth assumptions and we use only one feedback instead of two as before.

It was found that the approach with partial differential equations is preferable to the one with integral equations for the type of problems treated in this study.

The frequency and type of problems still arising are discussed in the light of recent surveys in England.

As a result, the learned functions automatically behave as filters and rankers, rather than binary classifiers, which we argue to be better for this type of problems.

The aim of this paper is to investigate under which conditions the existence of a feasible point of a bilevel problem can be assumed in advance and under which conditions there exist minimizers for this type of problems.

Among the difficult problems in hydraulics is the flow with a free urface,because, not known a priori,it has to be determined as a part of the solution.A finite element method based on the variational principle for variable domains is proposed for this type of problems. As shown in Fig.1, the domain of solution is divided by a prescribed F curve into two sub-domains,the fixed ABEPQGMNOA and the variable EFQPE with the free stream line as its boundary. Triangular elements and linear distribution of ψ are...

Among the difficult problems in hydraulics is the flow with a free urface,because, not known a priori,it has to be determined as a part of the solution.A finite element method based on the variational principle for variable domains is proposed for this type of problems. As shown in Fig.1, the domain of solution is divided by a prescribed F curve into two sub-domains,the fixed ABEPQGMNOA and the variable EFQPE with the free stream line as its boundary. Triangular elements and linear distribution of ψ are adopted for the inner region,while trapezoidal elements and linear distribution of q2 for the variable domain. The unknowns to be solved for are the values of ψ of the nodes and the ordinates of points on the free surface. Equating the partial derivatives of the functional to zero furnishes enough equations,thus,the location of the free surface and the values of ψ are solved for simultaneously. The method is applied to free surface sluice gate flow over spillway and computed pressure distribution agrees satisfactorily with experimental results.

A numerical method is presented for digital simulation of dynamic systems withfunctions containing discontinuities.The method is suitable for both off-line andin-line simulation.And it can achieve medium and high accuracy.The effectiveness ofthe method consists in:1.A suitable integration method for each type of problem,2.A flexible hybrid algorithm for searching the zeros of the function;3.Hermiteinterpolation for function approximation;4.Special treatment for evaluating thecondition functions;5.Inverse...

A numerical method is presented for digital simulation of dynamic systems withfunctions containing discontinuities.The method is suitable for both off-line andin-line simulation.And it can achieve medium and high accuracy.The effectiveness ofthe method consists in:1.A suitable integration method for each type of problem,2.A flexible hybrid algorithm for searching the zeros of the function;3.Hermiteinterpolation for function approximation;4.Special treatment for evaluating thecondition functions;5.Inverse continuous fraction interpolation together with ratio-nal extrapolation for greater accuracy in integration.Four examples are given to compare results obtained with those given elsewhere.

In this article singularity function-methods are introduced and used here for solving statically indeterminate beam problems and progr- amming the general program of solution of this type of problems.The singularity functions constitute a usful and easy means of in- tegrating across function discontiniuties. By their, use, general exp-ressions for the shear force, bending moment, slope, and deflection of a beam can be expressed.Thus, we may solve simultaneously the equa: ions for the redundent reactions...

In this article singularity function-methods are introduced and used here for solving statically indeterminate beam problems and progr- amming the general program of solution of this type of problems.The singularity functions constitute a usful and easy means of in- tegrating across function discontiniuties. By their, use, general exp-ressions for the shear force, bending moment, slope, and deflection of a beam can be expressed.Thus, we may solve simultaneously the equa: ions for the redundent reactions by substituting appropriate boundary con-ditions into the equations. An analysis also shows that to program general program of solution for above problems, it is advantageous for singularity function-methods to be combined with the force method in structural mechanics. And it hag been proved that this is an efficient method edsy to utilize,