mathematical programming 中文意思是什麼

The mathematical programming methods, both the method of moving asymptotes ( mma ) belonging to convex programming methods and the sequential linear programming method ( slp ), were used to solving optimization problems

用移動漸進線方法（ mma ）求解單目標優化問題，用序列線性規劃方法（ slp ）求解模糊目標混合規劃問題。

Based on consider hereinbefore, this dissertation discusses several aspects on the problem of the sustainable and optimum exploitation of groundwater resources as follows : ( 1 ) reviewed entirely the origin and evolvement of the concept " sustainable development ", stated and commented the study status in queue on " sustainable development " around national and international range, thorough discussed the science connotation about the concept " sustainable development " ; ( 2 ) looked back and commented across - the aboard some furthest basic concept and proposition related to groundwater resources, put forward self opinions on a few existent mistake points of view and chaos understandings ; ( 3 ) expatiated entirely on the content and meaning of the theory of changeable groundwater resources system, contrast with the traditional methods of groundwater resources calculation and evaluation, combined example to show the application of this theory ; ( 4 ) thorough analyzed the difficult and complexity to forecast the groundwater resources, fully stated the traditional methods of groundwater resources forecasting, pointed out the characteristic and applying condition of these forecasting method, introduced the main ideas and methods of wavelet analysis developed recently, and the matlab software be known as the fifths era computer language, and its accessory wavelet analysis toolbox, applied these methods and tools to analyze the groundwater dynamic curve, adopted the b - j method and morte - carlo method, combined with the theory of changeable groundwater resources system, discussed the new view on the forecast of groundwater resources ; ( 5 ) synthetically analyzed the characteristics and limitations of the present all kind of groundwater manage model, combined mathematical programming mathematical statistics random process and the theory of variation system of groundwater resources on the unite optimum attempter of surface water and groundwater, emphasized how to make the model more nicety, more simple, more practicality ; ( 6 ) analyzed the inside condition and outside condition to assure the sustainable and optimum exploi tation of groundwater resources, the inside conditions are the follows : correct resources idea, scientific methods of resources calculation and evaluation, credible forecast methods of resources, exercisable measures of resources management, the outside conditions are the follows : the development idea of high layer, the transform of manage system, the matched policy and rule of law, the adjusted of economy lever, the improve of cultural diathesis, the boosting up of water - saving consciousness and detail measures, the control of population rising, the prevention and cure of water pollute, the renew and rebuild of ecology ; ( 7 ) scan the sustainable and optimum exploitation of groundwater resources from the high level of metagalaxy, earth system science, and philosophy ; lint out the more directions on groundwater resources

基於以上考慮，論文主要從以下幾方面對地下水資源可持續開發問題進行了比較深入的探討：全面回顧了「可持續發展」概念的由來與演變，對國內外「可持續發展」的研究現狀進行了述評，並對「可持續發展」概念的科學內涵進行了深入探討；對涉及地下水資源的一些最基本的概念和命題進行了全面的回顧和評述，對目前仍然存在的一些錯誤觀點和混亂認識提出了自己的見解；全面闡述了地下水資源變值系統理論的內容和意義，並與傳統的地下水資源計算評價方法進行了對比分析，結合實例具體說明了方法的應用；深入分析了地下水資源預測預報工作的極端重要性和復雜性，對傳統的地下水資源動態預測方法進行了全面的評述，指出了各類預測預報方法的特點及適用條件，對最近二十多年剛發展起來的小波分析技術的主要思想和方法及其應用范圍，以及號稱第五代計算機語言的matlab軟體和附帶的小波分析工具箱進行了介紹，並應用於地下水動態過程線的分析，採用時間序列中的b ? j法，蒙特卡羅方法，與地下水資源變值系統理論相結合，探討了地下水動態資料分析和地下水資源預測預報的新思路；綜合分析了現今各類地下水管理模型的特點及缺陷，將數學規劃、數理統計、隨機過程等與地下水變值系統理論相結合進行地表水地下水或多水源的聯合優化調度，使模型更準確、更實用；對保證地下水資源可持續開發的內部條件和外部條件進行了分析，內部河海人學博卜學位論文前言、摘要、目錄條件主要是正確的資源觀，科學的資源計算與評價方法，可靠的資源預測預報技術，可操作的資源管理措施，外部條件主要是高層發展思路、管理體制的變革、配套的政策法規、經濟杠桿的調節、人文素質的提高、節水意識的增強及具體節水措施、人口增長的控制、水體污染的防治、生態的恢復和重建等;從宇宙科學、地球系統科學及哲學的高度審視地下水資源的可持續開發;指出了地下水資源可持續開發的進一步研究方向。

It is well known that wolfe type and mond - weir type duals are important duals in mathematical programming. professor xu ( ref. 35 ) firstly introduced a mixed type dual in multiobjective programming, which is more general and flexible than the above two duals. recently, it was pointed out that if a function is invex, then it is f - convex by ref. 37 and vice versa

我們知道，在所有的對偶規劃中， wolf型和mond - weir型對偶是兩類重要的對偶，而徐教授在文獻[ 35 ]中，又針對多目標規劃首次提出了混合型對偶的概念，它比以上提及的兩類重要對偶，更具一般性和靈活性。

In view of the refinery practice, mathematical programming technique is used to construct the scheduling model, heuristic rules are applied to reduce the constraints and variables number in order to simplify the problem

根據煉油行業的實際情況，用數學規劃方法建立各個功能模塊的調度模型，運用啟發式規則降低約束和變量的個數，從而降低問題的復雜性，是本文採用的一個主要方法。

Normally, we try to get the dual form of mathematical programming to change primary programming, which is difficult to be solved into its dual programming, which is easily to be solved. after we had got the dual form of two programming, we found their form were very simply because they had only nonnegative and linear constraints

通常，我們求出規劃問題的對偶形式是希望將不易求解的原問題轉化為易於求解的對偶問題，在分別得到這兩類問題的對偶形式后，發現其形式簡單，只帶有非負約束和線性約束。

On the application of mathematical programming in the estimation of function value

數學規劃在函數值估計中的一個應用

In this paper, the implicit enumeration methods for mathematical programming are effectively classified : well - implied and ill - implied enumerations

摘要對數學規劃中的枚舉法進行了有效的分類：良性隱式枚舉與病態隱式枚舉。

Abstract : considering the characteristic of mixed traffic in chinese cityies, and the different given conditions, the author develops combinatorial mathematical programming models involving travel choice / destination choice / mode choice / route choice on the basis of symmetrical deterrence and presents the proof that the optimal solutions satisfy the random choice conditions

文摘:考慮到我國城市混合交通擁擠的特點，針對不同的條件，作者給出了基於對稱阻抗的出行、訖點、方式和路徑隨機選擇的綜合模型，並證明該模型的最優解能滿足出行、訖點、方式和路徑隨機選擇的要求。

Introduction of variational calculus and its application in the engineering optimal design, constrained / unconstrained optimal design problems, discrete optimal control and mathematical programming, practical examples of optimum design

先修課程：負責教授同意。變分微積分與最佳化之關系及其在工程最佳化上之應用、端點條件、不連續最佳化程序、無限制及有限制條件最佳化問題、直接法及實際最佳化設計應用等。

Highly abbreviated naming schemes are too common in mathematical programming in my opinion - they make it more difficult than necessary to understand and verify that a mathematical routine works as it should

我的看法是：高度簡寫的命名方案在數學編程中很常見，但它們使得理解和證明某個數學常式是否按部就班更為困難，而原本不必造成此種困難。

The problem is addressed through mathematical programming approach, the linear integer formulation is developed for optimizing the network throughput, and then the similarity between the original problem and the graph edge coloring problem is shown through the conflict graph concept. a column generation solution is proposed and several enhancements are made in order to fasten its convergence. numerical results demonstrate that the theoretical limit of the throughput can be efficiently computed for networks of realistic sizes

一個對tdma機制的有效改進方法是空分tdma機制，它將無線結點之間的物理距離考慮在內，規定互相不干擾的通訊鏈路可以在相同的時間片內傳輸，從而減少了網路所需時間片的總量，從而提高了單位時間內可傳輸數據包的數量，即提高了整個網路的吞吐量throughput 。

The status of the research for non - entirety analysis of arch dam and joint models commonly used were reviewed. the fem analysis for contact problem, i. e., iterative method, contact constraints method and mathematical programming method, were summarized. 2

評述了拱壩結構非整體性分析研究的現狀以及拱壩結構分析中常用的接縫模型；進一步從直接迭代法、接觸約束法和數學規劃法三個方面綜述了基於有限單元法的接觸問題分析方法。

Firstly, a simple and practical representing method of the tooth edge tangential vector is applied to replace the traditional differential formula, the simple solving technique of edge contact problem makes the geometric edge contact analysis of the complex curve surface realize. secondly, using numerical searching and mathematical programming method solves the contact directions and loaded contact problem. finally, whole numerical simulation method is provided for loaded tooth contact analysis of high contact ratio spiral bevel gears

首先以一種簡單實用的輪齒邊緣切矢量的數學表示方法取代了經典的微分表達式，大大簡化了幾何邊緣接觸的求解，使復雜曲面的幾何邊緣接觸分析得以實現；其次又採用數值搜索與數學規劃法求解了邊緣接觸的主方向和承載接觸問題，為高重合度弧齒錐齒輪承載嚙合全過程的數值模擬提供了完整的方法。

Formulation solution of class mathematical programming problems

一類數學規劃問題的公式解

Higher order f - convexity and higher order symmetric duality in non - differentiable mathematical programming

一個不可微數學規劃中的高階對偶模型

Investigates the problem of how to establish the functional optimizing model for roads by means of mathematical programming

摘要運用數學規劃方法探討了道路功能優化模型的建立。

To tackle the problem, a mathematical programming model is developed on the basis of air traffic equilibrium and cost optimizing

為了描述該問題，建立了基於空中交通均衡分配的成本最優的數學規劃模型。

How to solve it is much more complex than that of ordinary mathematical programming because of its random coefficients

由於在系數中引入了隨機變量，使得隨機規劃問題的求解比普通的數學規劃要復雜得多。

He applied it to many practical problems and then formed one important branch of mathematical programming - dynamic programming

並將其應用於很多實際問題，從而形成了數學規劃中的一個重要分支? ?動態規劃。

2. for the problem with size, stress and displacement constraints, the stress constraint is transformed into movable lower bounds of sizes, the displacement constraint is transformed into an approximate function which explicitly includes design variables by using mohr integral theory. a mathematical programming model of the optimization problem is set up. the dual programming of the model is approached into a quadratic programming model

2 .對于尺寸、應力和位移約束的問題，將應力約束化為動態下限，用單位虛荷載方法將位移約束近似顯式化，構造優化問題的數學規劃模型，將其對偶規劃處理為二次規劃問題，採用lemke演算法進行求解，得到滿足尺寸、應力和位移約束條件的截面最優解。