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Stream Function Wave Derived by Unified Variational Principle of Water Gravity Wave

China Ocean Engineering 1997年第2期12卷 187-200页

作者： Fu Yuhua Senior Engineer, China Offshore Oil Production Research Center, P.O.Box 9607, Beijing, 100086 China Offshore Oil Production Research Center P.O.Box 9607 Beijing 100086 China

Based on the linear wave, solitary wave and fifth order stokes wave derived by use of the Unified Variational Principle of Water Gravity Wave (UVPWGW), this paper derives stream function wave theory by using UVPWGW. This paper will handle the Kinematic Free Surface Boundary Condition (KFSBC) and Dynamic Free Surface Boundary Condition (DFSBC) directly and give the optimum solution, instead of the conditions Sigma(Q(av) - Q(i))(2) = min, and the related equations of stational condition. When the wave height H, period T and water depth D are given, the original stream function wave will be determined, and can not be adjusted if it does not agree with the real case; in the present method, the adjustment can be done by adding several constraint conditions, for example, the wave profile can be adjusted according to the condition of accurate peak position. The examples given in this paper show that for the original stream function wave, the DFSBC can be fairly well satisfied, but the KFSBC can not; however, the stream function wave derived by UVPWGW is better than the original one in the sense of minimum error squares in the aspect of the level at which KFSBC and DFSBC are satisfied.

关键词： unified variational principle of water gravity wave stream function wave theory optimum solution

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An Effective Approach to Determine an Initial Basic Feasible solution: A TOCM-MEDM Approach

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Open Journal of Optimization 2020年第2期9卷 27-37页

作者： Md. Munir Hossain Mollah Mesbahuddin Ahmed Md. Amirul Islam Shirajul Islam Ukil Department of Mathematics Bangladesh Military Academy Chattogram Bangladesh Principal Birshreshtha Noor Mohammad Public College Dhaka Bangladesh

Transportation of products from sources to destinations with minimal total cost plays an important role in logistics and supply chain management. In this article, a new and effective algorithm is introduced for finding an initial basic feasible solution of a balanced transportation problem. Number of numerical illustration is introduced and optimality of the result is also checked. Comparison of findings obtained by the new heuristic and the existing heuristics show that the method presented herein gives a better result.

关键词： Initial Basic Feasible solution Total Opportunity Cost Matrix Pointer Cost optimum solution

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A Comparative Study of Initial Basic Feasible solution by a Least Cost Mean Method (LCMM) of Transportation Problem

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American Journal of Operations Research 2020年第4期10卷 122-131页

作者： Md. Munir Hossain Mollah Mesbahuddin Ahmed Department of Mathematics Bangladesh Military Academy Chattogram Bangladesh Birshreshtha Noor Mohammad Public College Dhaka Bangladesh

Transportation Problems (TP), as is known, are a basic network problem which can be formulated as a Linear Programming Problem (LPP). Transportation networks are built up in order to save transportation cost. In the solution procedure of a TP, finding an Initial Basic Feasible solution (IBFS) is necessary to obtain the optimal solution. Optimality gives us the optimal route that prompts either most extreme benefit or least aggregate cost whichever is required. In this research paper, a new method named Least Cost Mean Method is proposed to obtain a better IBFS where row penalty and column penalty is brought out by the mean of lowest and next lowest cost of each row and each column of the cost matrix. The method is illustrated with numerical examples. To verify the performance of the proposed method, a comparative study is also carried out and observed that it is computationally easier and yielding comparatively better solution.

关键词： Initial Basic Feasible solution optimum solution Penalty Cost

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Parameter optimization of temperature field in RF-capacitive hyperthermia

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Progress in Natural Science:Materials International 2001年第9期 29-36页

作者：万柏坤朱欣程晓曼张力新林世寅王伟 China Department of Biomedical Engineering and Science Instrument Department of Opto-electronic Information and Electronic Engineering Division of Radio-Physics Tianjin 300060 Tianjin 300072 Tianjin 300191 Tianjin Cancer Institute Tianjin Institute of Technology Tianjin University

To realize a certain target temperature distribution in tumor tissues and avoid over-heating in normal tissues in radio frequency (RF)-capacitive hyperthermia, an objective function and some weight coefficients are introduced. Then using the 2-D finite element method, the electromagnetic and bio-heat transfer equations are solved, and using the genetic algorithm the heating configurations are recursively modified to minimize the objective function. Finally an optimum solution of the expected heating field distribution in hyperthermia is achieved. And with a human heterogeneous tissue model extracted from X-ray CT images, satisfactory optimization results are obtained in the simulations on a biplate RF-capacitive hyperthermia device. This optimization technique for controlling the body temperature field has shown scientific importance and practical values in the research of hyperthermia.

关键词： radio frequency-capacitive hyperthermia optimum solution heating physical parameters finite element method genetic algorithms.

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