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New Procedure of Finding an Initial Basic Feasible Solution of the Time minimizing Transportation Problems

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Open Journal of Applied Sciences 2015年第10期5卷 634-640页

作者： Mollah Mesbahuddin Ahmed Md. Amirul Islam Momotaz Katun Sabiha Yesmin Md. Sharif Uddin Department of Mathematics Jahangirnagar University Savar Dhaka Bangladesh Department of Mathematics Bangladesh University Dhaka Bangladesh

Minimization of transportation time is a great concern of the transportation problems like the cost minimizing transportation problems. In this writing, a transportation algorithm is developed and applied to obtain an Initial Basic Feasible Solution (IBFS) of transportation problems in minimizing transportation time. The developed method has also been illustrated numerically to test the efficiency of the method where it is observed that the proposed method yields a better result.

关键词： Transportation Problem Initial Basic Feasible Solution minimizing Transportation Time

Mirdc~ chitosan-enveloped titanium cage is beneficical on minimizing soft tissue infiltration in lumbar spinal fusion surgery

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畜牧与兽医 2012年第S2期44卷 56-56页

作者： Chih-Chan Lin Yung-Chang Lin Department of Veterinary Medicine College of Veterinary Medicine National Chung Hsing University.

It is essential and challenging to minimize soft tissue infiltration in a spinal fusion ***,chitosanbased materials have been brought attention to the field of orthopedic tissue *** study presents the results of using MIRDCchitosan-enveloped titanium cage for lumbar spinal fusion surgery with better minimization of tissue infiltration.

关键词： infiltration Mirdc chitosan titanium lumbar challenging minimization minimizing minimize vertebral

Fifth-degree elastic energy for predictive continuum stress-strain relations and elastic instabilities under large strain and complex loading in silicon

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npj Computational Materials 2020年第1期6卷 697-704页

作者： Hao Chen Nikolai A.Zarkevich Valery I.Levitas Duane D.Johnson Xiancheng Zhang Key Laboratory of Pressure Systems and Safety Ministry of EducationSchool of Mechanical and Power EngineeringEast China University of Science and TechnologyShanghai 200237China Ames Laboratory U.S.Department of EnergyIowa State UniversityAmesIA 50011-3020USA Department of Aerospace Engineering Iowa State UniversityAmesIA 50011USA Department of Mechanical Engineering Iowa State UniversityAmesIA 50011USA Department of Materials Science&Engineering Iowa State UniversityAmesIA 50011USA

Materials under complex loading develop large strains and often phase transformation via an elastic instability,as observed in both simple and complex ***,we represent a material(exemplified for Si I)under large Lagrangian strains within a continuum description by a 5^(th)-order elastic energy found by minimizing error relative to density functional theory(DFT)results.

关键词： continuum energy minimizing

EIGENVALUE PROBLEM FOR FIELD EQUATION INVOLVING LIMITING NONLINEARITY

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Acta Mathematica Scientia 1990年第4期10卷 432-447页

作者：严树森李工宝 ACAD SINICA INST MATH SCIWUHANPEOPLES R CHINA

In this paper, we study the following eigenvalue problem involving limiting nonlinearity [GRAPHICS] by a new way of using the concentration-compactness principle. Even in the nonlimiting situation, we improve the know... 详细信息

关键词： eigenvalue nontrivial compactness seeking nonlinearity limiting holds belongs compl minimizing

REGULARITY OF HARMONIC MAPS INTO POSITIVELY CURVED MANIFOLDS

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Chinese Annals of Mathematics,Series B 1992年第4期13卷 385-395页

作者：忻元龙 Institute of Mathematics Fudan University Shanghai 200433 China.

Let M be a compact Riemannian manifold of dimension m, N a complete Amply connected δ-pinched Riemannian manifold of dimension n. There exists a constant d(n). It is proved that if m≤d(n), then every minimizing map from M into N is smooth in the interior of M. If m=d(n)+1, such a map has at most diserete singular set and in general the Hausdorff dimension of the singular set is at most m-d(n)-1.

关键词： Riemannian manifold singular minimizing Hausdorff bundle connected interior regularity ordinary

GAMMA-MINIMAX ESTIMATORS FOR THE MEAN VECTOR OF A MULTIVARIATE NORMAL DISTRIBUTION

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Chinese Annals of Mathematics,Series B 1991年第1期12卷 45-57页

作者：陈兰祥 Department of Applied Mathematics Tongji UniversityShanghaiChina.

GAMMA-minimax estimators are determined for the mean vector of a multivariate normal distribution under arbitrary squared error loss. Thereby the set GAMMA consists of all priors whose vector of first moments and matrix of second moments satisfy some given restrictions. Necessary and sufficient conditions are derived which ensure a prior being least favourable in GAMMA and the unique Bayes estimator with respect to this prior being GAMMA-minimax. By applying these results the GAMMA-minimax estimator is explicitly found in some special cases or can be computed by solving a system of non-linear equations or by minimizing a quadratic form on a compact and convex set.

关键词： estimator prior minimizing GAMMA applying multivariate explicitly satisfy arbitrary squared

THE EIGENVALUE PROBLEM OF QUASILINEAR ELLIPTIC EQUATION

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Acta Mathematica Scientia 1991年第1期11卷 83-94页

作者：张正杰 ACAD SINICA INST MATH SCIWUHANPEOPLES R CHINA

In this paper, we are concerned with the following eigenvalue problems Find a function u and a real number λ such that When p=2, above problems are of semilinear eigenvalue problems on R~N

关键词： semilinear eigenvalue concerned Nirenberg 贵一 Fixed minimizing lemma 贡甲召刀

A REMARK ON THE UNIQUENESS OF THE HARMONIC MAPS

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Chinese Annals of Mathematics,Series B 1991年第3期12卷 301-305页

作者：边保军 Department of Mathematics Zhejiang university Hangzhou Zhejiang China.

This paper studies the uniqueness of the harmonic maps from Rn into Sn-1. At first it is proved that the map ψ（x）=x|x|:Bn→Sn-1 is the unique energy minimizing harmonic map. Then the uniqueness of the harmonic maps... 详细信息

关键词： minimizing harmonic uniqueness neighborhood 时功胜日三价一斋七印 verify

Optimal models with maximizing probability of first achieving target value in the preceding stages

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Science China Mathematics 2003年第3期46卷 396-414页

作者：林元烈伍从斌康波大 Department of Mathematical Sciences Tsinghua University

Decision makers often face the need of performance guarantee with some sufficiently high proba-bility. Such problems can be modelled using a discrete time Markov decision process (MDP) with a probabilitycriterion for the first achieving target value. The objective is to find a policy that maximizes the probabilityof the total discounted reward exceeding a target value in the preceding stages. We show that our formula-tion cannot be described by former models with standard criteria. We provide the properties of the objectivefunctions, optimal value functions and optimal policies. An algorithm for computing the optimal policies forthe finite horizon case is given. In this stochastic stopping model, we prove that there exists an optimal deter-ministic and stationary policy and the optimality equation has a unique solution. Using perturbation analysis,we approximate general models and prove the existence of ε-optimal policy for finite state space. We give anexample for the reliability of the satellite systems using the above theory. Finally, we extend these results tomore general cases.

关键词： probability criterion, Markov decision processes, minimizing risk, first achieving target value.