BLOW－UP OF SOLUTIONS OF THE IGNITION MODEL

By use of maximum principle and auxiliary function method,the paper discusses the blow-up sets of the solutions of the ignition model in two cases,It is obtained that the solutions blow up in single point in nonsymmetric case and that the solutions blow up totally or at a couple of points in symmetric case.     

PERIODIC SOLUTIONS OF THE JOSEPHSON EQUATION

In this paper,the Josephson equation and its autonomous case are considered.It isshown that for |α|<1 and β>γ>1 or β<γ<-1,there is no periodic solution of the autonomousJosephson equation,For the nonautonomous case,some suffcient conditions for the existence ofperiodic solutions are given.     

EXISTENCE AND ALGORITHM OF SOLUTIONS FOR GENERALIZED STRONGLY MIXED IMPLICIT QUASI-VARIATIONAL INEQUALITIES

The purpose of this paper is to introduce and study a new class of generalized strongly mixed implicit quasi-variational inequalities in Hilbert spaces, which includes the known class of generalized mixed implicit quasi-variational inequalities as a special case. By applying the auxiliary variational principle technique, the existence of solutions for this class of quasi-variational inequalities is proved. Moreover, a new iterative algorithm for computing approximate solutions is constructed and the convergence criteria for this iterative algorithm are also established.     

COMPARISON OF TWO METHODS OF OPERATING THEATRE PLANNING： APPLICATION IN BELGIAN HOSPITAL

Operating Theatre is the centre of the hospital management＇s efforts. It constitutes the most expensive sector with more than 10% of the intended operating budget of the hospital. To reduce the costs while maintaining a good quality of care, one of the solutions is to improve the existent planning and scheduling methods by improving the services and surgical specialty coordination or finding the best estimation of surgical case durations. The other solution is to construct an effective surgical case plan and schedule. The operating theatre planning and scheduling is the two important steps, which aim to make a surgical case programming with an objective of obtaining a realizable and efficient surgical case schedule. This paper focuses on the first step, the operating theatre planning problem. Two planning methods are introduced and compared. Real data of a Belgian university hospital ＂Tivoli＂ are used for the experiments.     

AN ALGORITHM FOR THE DETERMINATION OF THE ECONOMIC ORDER QUANTITY IN A TWO-LEVEL SUPPLY CHAIN WITH TRANSPORTATION COSTS： COMPARISON OF DECENTRALIZED WITH CENTRALIZED DECISION

This paper considers a two-level supply chain consisting of one warehouse and one retailer. In this model we determine the optimal ordering policy according to inventory and transportation costs. We assume that the demand rate by the retailer is known. Shortages are allowed neither at the retailer nor at the warehouse. We study this model in two cases; decentralized and centralized. In the decentralized case the retailer and the warehouse independently minimize their own costs; while in the centralized case the warehouse and the retailer are considered as a whole firm. We propose an algorithm to find economic order quantifies for both the retailer and the warehouse which minimize the total system cost in the centralized case. The total system cost contains the holding and ordering costs at the retailer and the warehouse as well as the transportation cost from the warehouse to the retailer. The application of this model into the pharmaceutical downstream supply chain of a public hospital allows obtaining significant savings. By numerical examples, the costs are computed in MATLAB to compare the costs in the centralized case with decentralized one and to propose a saving-sharing mechanism through quantity discount.     

A DECOMPOSITION METHOD OF STRUCTURAL DECOMPOSITION ANALYSIS

Over the past two decades, structural decomposition analysis (SDA) has developed into a major analytical tool in the field of input-output (IO) techniques, but the method was found to suffer from one or more of the following problems. The decomposition forms, which are used to measure the contribution of a specific determinant, are not unique due to the existence of a multitude of equivalent forms, irrational due to the weights of different determinants not matching, inexact due to the existence of large interaction terms.In this paper, a decomposition method is derived to overcome these deficiencies, and we prove that the result of this approach is equal to the Shapley value in cooperative games,and so some properties of the method are obtained. Beyond that, the two approaches that have been used predominantly in the literature have been proved to be the approximate solutions of the method.     

Using an Adaptive Genetic Algorithm to Improve Finance Decision

Optimising both qualitative and quantitative factors is a key challenge in solving construction finance decisions. The semi-structured nature of construction finance optimisation problems precludes conventional optimisation techniques. With a desire to improve the performance of the canonical genetic algorithm (CCA) which is characterised by static crossover and mutation probability, and to provide contractors with a profit-risk trade-off curve and cash flow prediction, an adaptive genetic algorithm (AGA) model is developed. Ten projects being undertaken by a major construction firm in Hong Kong were used as case studies to evaluate the performance of the genetic algorithm (CA). The results of case study reveal that the ACA outperformed the CGA both in terms of its quality of solutions and the computational time required for a certain level of accuracy. The results also indicate that there is a potential for using the GA for modelling financial decisions should both quantitative and qualitative factors be optimised simultaneously.     

ANALYSIS OF THE MECHANISM MODELS OF TECHNOLOGICAL INNOVATION DIFFUSION＊

This paper analyzes the mechanism and principle of diffusion of technology diffusion on the basis of quantitative analysis. Then it sets up the diffusion model of innovation incorporating price, advertising and distribution, the diffusion model of innovation including various kinds of consumers, and the substitute model between the new technology and the old one applied systems dynamics, optimization method, probabilistic method and simulation method on computer, Finally this paper concludes with some practical observations from a case study.     

Chaotic Neural Network Technique for "0-1" Programming Problems

0-1 programming is a special case of the integer programming, which is commonly encountered in many optimization problems. Neural network and its general energy function are presented for 0-1 optimization problem. Then, the 0-1 optimization problems are solved by a neural network model with transient chaotic dynamics (TCNN). Numerical simulations of two typical 0-1 optimization problems show that TCNN can overcome HNN's main drawbacks that it suffers from the local minimum and can search for the global optimal solutions in to solveing 0-1 optimization problems.     

Memetic algorithm for multi-mode resource-constrained project scheduling problems

A memetic algorithm （MA） for a multi-mode resourceconstrained project scheduling problem （MRCPSP） is proposed. We use a new fitness function and two very effective local search procedures in the proposed MA. The fitness function makes use of a mechanism called ＂strategic oscillation＂ to make the search process have a higher probability to visit solutions around a ＂feasible boundary＂. One of the local search procedures aims at improving the lower bound of project makespan to be less than a known upper bound, and another aims at improving a solution of an MRCPSP instance accepting infeasible solutions based on the new fitness function in the search process. A detailed computational experiment is set up using instances from the problem instance library PSPLIB. Computational results show that the proposed MA is very competitive with the state-of-the-art algorithms. The MA obtains improved solutions for one instance of set J30.     

The Blowing-up of the Solutions for a Class of Nonlinear Reaction-Diffusion Equations

Wediscusstheblowing-upofthesolutionsforthenonlinearreaction-diffusionequationswiththegeneral(i.e.nonlinear)boundaryconditions:ut=∑ni,j=1xiaij(x)uxj ∑ni=1bi(x)uxi f(u)　(x,t)∈Ω×(0,T)βuγ δ(x)uΩ=g(u)u(x,0)=u0(x)(*)whereΩisaboundedregionofRn,ai...     

发射药床挤压破碎动力学仿真

低温发射药床挤压破碎是导致膛炸的根本原因。将建立在离散单元法基础上的弹簧-球单元破碎模型应用到散粒体系统动力学仿真中,建立了伴随破碎的散粒体系统动力学仿真方法。将该方法应用到动态压缩装置中的发射药床挤压破碎的数值仿真中,并对破碎后的发射药床表面积增加量进行了统计。数值仿真结果与试验结果基本一致,说明数值仿真的正确性,为进一步研究发射装药发射安全性提供了理论基础。     

REGULARITY OF SOLUTIONS TO AN ELLIPTIC VARIATIONAL INEQUALITY SYSTEM

1.IntroductionInthepastteny6arstheinvestigationontheregularityofsolutionsofellipticvariationalinequalitieswithdegenerateellipticitydevelopedrapidly.Theresultsareassatisfactoryasthoseofellipticequations(see[1--101).Buttherelatedinvestigationforellipticvari…     

A NEW METHOD FOR FINDING MAJOR EFFICIENT SOLUTIONS AND MAJOR OPTIMAL SOLUTIONS OFDISCRETE MULTIOBJECTIVE PROGRAMMING

1.IntroductionThetermefficiencyisalsoknownasadmissibility,ornoninferiority.Itdepictsthemultiobjectiveprogrammingfromtheangleofsatisfaction.Majorefficiencyisbasedonthelawofmajority,whichhasbeenilitensivilyinvestigatedinpapers[1--3].Theprimaryconceptsaremajorefficientsolutionandmajoroptimalsolution.Considerthefollowingmultiobjectiveprogramming:whereXCR"isthefeasibleregion,f:X~ac,f(x)=(fi(x),f200,'',fm(x))",andfi:X~Risareal-valuedfunction,acandacareEuclideanspaces.oIntroducetwoconesetsHandH…     

STABILITY OF STEADY－STATE SOLUTIONS OF THE COMPETITION MODEL IN THE CHEMOSTAT

ＳＴＡＢＩＬＩＴＹＯＦＳＴＥＡＤＹ－ＳＴＡＴＥＳＯＬＵＴＩＯＮＳＯＦＴＨＥＣＯＭＰＥＴＩＴＩＯＮＭＯＤＥＬＩＮＴＨＥＣＨＥＭＯＳＴＡＴ￥ＷＵＪｉａｎｈｕａ（Ｘｉ＇ａｎＩｎｓｔｉｔｕｔｅｏｆＨｉｇｈｗａｙ，Ｘｉ，ａｎ７１００６４，Ｃｈｉｎａ）ＬＩＹａｎ...     

企业过程的定义及辨识方法

通过分析现有企业过程的各种定义，从理解企业进程重组（ＢｕｓｉｎｅｓｓＰｒｏｃｅｓｓｅｓＲｅｅｎｇｉｎｅｅｒｉｇ，））ＢＰＲ的角度，提出了企业过程的一般性的定义，在此基础上，利用系统分析的技术，提出了自上而下分解企业职能，自下而上组合形成过程的方法，该方法包括４个步骤，论文的最后是案例研究．     

对投资组合选择的Telser安全-首要模型的一些讨论

主要对一般情形、含无风险资产和含外生负债三种情况下的TSF模型用直观解法求解,并对其最优解、可行解的存在性条件进行详细讨论,另外还提出一些值得进一步研究的问题.     

A KIND OF STRUCTURE MODELS FOR DOUBLEPOROSITY MEDIUM SYSTEMS AND ITS IDENTIFICATION PROBLEMS

*ThisresearchissupportedbytheNationalNaturalScienceFoundationofChina,No.69474002.1.SomePermeableModelswithaDoublePorousMediumItiswellknownfromcoreanalysisanddynamictestthatagas(oranoil)reservoirwithheterogeneollscarbonatematricesisdescribedasaclassicaldoubleporositymediumsysteminwhichdistriblltionandconnectivityofhollows,aswellastheintricateinterfacebetweenporesandfi'acturesvarieswithspaceposition.Thegeometryofformationisvariousinkind.Thedynamicresponseoffluidisverycomplex.Furthermore,the…