• Title/Summary/Keyword: ideal solution

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A GOAL PROGRAMMING MODEL FOR THE BEST POSSIBLE SOLUTION TO LOAN ALLOCATION PROBLEMS

  • Sharma, Dinesh-K.;Ghosh, Debasis;Alade, Julius-A.
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.197-211
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    • 2002
  • In this paper, we propose a multi-Criteria decision making approach to address the problem of finding the best possible solution in credit unions. Sensitivity analysis on the priority structure of the goals has been performed to obtain all possible solutions. The study uses the Euclidean distance method to measure distances of all possible solutions from the identified ideal solution. The possible optimum solution is determined from the minimum distance between the ideal solution and other possible solutions of the Problem.

Study of Effective Stiffness and Effective Strength for a Pinwheel Model combined with Diamond Truss-Wall Corrugation (P-TDC) (다이아몬드 트러스 벽면으로 구성된 P-TDC 모델의 강성 및 강도 연구)

  • Choi, Jeong-Ho
    • Journal of the Korean Society of Industry Convergence
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    • v.19 no.3
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    • pp.109-124
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    • 2016
  • The objective of this paper is to find the density, stiffness, and strength of truss-wall diamond corrugation model combined with pinwheel truss inside space. The truss-wall diamond corrugation (TDC) model is defined as a unit cell coming from solid-wall diamond corrugation (SDC) model. Pinwheel truss-wall diamond corrugation (P-TDC) model is made by TDC connected with pinwheel structure inside of the space. Derived ideal solutions of P-TDC is based on truss-wall and pinwheel truss model at first. And then it is compared with Gibson-Ashby's ideal solution. To validate the ideal solutions of the P-TDC, ABAQUS software is used to predict the density, strength, and stiffness, and then each of them are compared to the ideal solution of Gibson-Ashby with a log-log scale. Applied material property is stainless steel 304 because of having cost effectiveness. Applied parameters for P-TDC are 1 thru 5 mm diameter within fixed opening width as 4mm. In conclusion, the relative Young's modulus and relative yield strength of the P-TDC unit model is reasonable matched to the ideal expectations of the Gibson-Ashby's theory. In nearby future, P-TDC model is hoped to be applied to make sandwich core structure by advanced technologies such as 3D printing skills.

MANAGEMENT DECISION-MAKING FOR SUGARCANE FERTILIZER MIX PROBLEMS THROUGH GOAL PROGRAMMING

  • Sharma, Dinesh K.;Ghosh, Debasis;Alade, Julius A.
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.323-334
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    • 2003
  • This paper presents a goal-programming (GP) model for management decision-making for sugarcane fertilizer mix problems. Sensitivity analysis on the priority structure of the goals has been performed to obtain all possible solutions. The study uses Euclidean distance function to measure distances of all possible solutions from the ideal solution. The optimum solution is determined from the minimum distance between the ideal solution and other possible solutions of the problem. The optimum solution corresponds to the appropriate priority structure of the problem in the decision-making context. furthermore, the results obtained from sensitivity analysis on the cost of combination of fertilizers confirm the priority structure.

Kinematics of the Nonsteady Axi-symmetric Ideal Plastic Flow Process

  • Alexandrov, S.;Lee, W.;Chung, K.
    • Fibers and Polymers
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    • v.5 no.3
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    • pp.209-212
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    • 2004
  • A nonsteady axi-symmetric ideal flow solution is obtained here. It is based on the rigid perfect-plastic constitutive law with the Tresca yield condition and its associated flow rule. The process is to deform a circular solid disk into a spherical shell of prescribed geometry. It is assumed that there are no rigid zones and friction stresses. The solution obtained provides the distribution of kinematic variables and involves one undetermined function of the time. This function can be in general found by superimposing an optimality criterion.

TOPSIS-Based Multi-Objective Shape Optimization for a CRT Funnel (TOPSIS 를 적용한 CRT 후면유리의 다중목적 형상최적설계)

  • Lee, Kwang-Ki;Han, Jeong-Woo;Han, Seung-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.7
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    • pp.729-736
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    • 2011
  • The technique for order preference by similarity to ideal solution (TOPSIS) is regarded as a classical method of multiple attribute decision making (MADM), often used to solve various decision-making or selection problems. It is based on the concept that the chosen alternative should have the shortest distance from the positive ideal solution and the farthest distance from the negative ideal solution. The TOPSIS can be applied to a design process for carrying out multi-objective shape optimization wherein the best and worst alternatives are to be decided. In this paper, multi-objective shape optimization using the TOPSIS and Rational Bezier curve was applied to the funnel of a cathode-ray tube (CRT). In order to minimize the weight and first principal stress, a new multi-objective shape optimization methodology is proposed, wherein the relative-closeness coefficients of the TOPSIS are defined as the performance indices of a multi-objective function and evaluated by response surface models. This methodology enables the designer to decide on the best solution from a number of design specification groups by examining the various conflicts between the weight and the first principal stress.

Assessment of Water Resources Vulnerability Index Including North Korea (북한을 포함한 국가 별 수자원 취약성 지수 산정)

  • Song, Jae Yeol;Chung, Eun-Sung;Jeong, Sunghun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.642-642
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    • 2015
  • 최근 지속가능한 개발을 위한 연구와 수자원 취약성에 대한 논의가 활발히 이루어지는 가운데, 북한의 수자원에 대한 관심 또한 증가하여 다방면으로 연구가 진행되고 있다. 본 연구는 북한 자료의 확보가 가능한 World Bank 자료를 바탕으로 Pressure-State-Response 구조에 따라 선정된 14개의 지표를 이용하여 168개 국가를 대상으로 수자원 취약성 분석을 수행하였다. 의사결정을 위한 가중치 결정은 객관적 가중치 산정방법인 Shannon의 entropy 기법을 이용하였으며, 정량적 평가를 위하여 TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) 기법을 적용하여 국가 별 수자원 취약성을 지수화하고 취약성 순위를 도출하였다. 각 지표별 Positive Ideal Solution과 Negative Ideal Solution의 거리를 산정한 후 상대근접도계수를 산정하였으며, 상대근접도계수가 작은 국가일수록 수자원이 취약한 국가가 된다. 연구결과 북한은 168개 국가 중 17위, 우리나라는 67위로 나타났으며, 대체적으로 남 북한의 수자원 취약성이 취약한 가운데 북한이 더 취약한 것으로 나타났다. 우리나라와 연관이 깊은 주요 국가와 비교 시, 북한, 중국, 미국, 일본, 우리나라 순으로 취약성의 정도가 심각했다. 또한, 압력, 상태, 반응의 요소별로 수자원 취약성을 분석한 결과 북한이 반응요소 측면에서 타 국가에 비해 불안정하였으며, 우리나라의 경우 상태요소 측면에서 취약함을 보였다. 따라서 본 연구는 국가 간 우리나라와 북한의 상황을 파악할 수 있게 해주며, 수자원 취약성 극복을 위한 수자원 계획 및 대책을 제시할 수 있는 자료로 활용할 수 있을 것이다.

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Free vibration analysis of concrete arch dams by quadratic ideal-coupled method

  • Rezaiee-Pajand, Mohammad;Sani, Ahmad Aftabi;Kazemiyan, Mohammad Sadegh
    • Structural Engineering and Mechanics
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    • v.65 no.1
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    • pp.69-79
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    • 2018
  • This paper is devoted to two new techniques for free vibration analysis of concrete arch dam-reservoir systems. The proposed schemes are quadratic ideal-coupled eigen-problems, which can solve the originally non-symmetric eigen-problem of the system. To find the natural frequencies and mode shapes, a new special-purpose eigen-value solution routine is developed. Moreover, the accuracy of the proposed approach is thoroughly assessed, and it is confirmed that the new scheme is very accurate under all practical conditions. It is also concluded that both decoupled and ideal-coupled strategy proposed in the previous works can be considered as special cases of the current more general procedure.

Blank Design for Sheet Metal Product Based on Direct Design Method (직접설계법에 의한 박판부품의 초기형상설계)

  • 윤정환;김상국;정관수;연의정
    • Transactions of Materials Processing
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    • v.9 no.6
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    • pp.598-603
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    • 2000
  • In order to improve trial-and-error based conventional practices for optimizing forming processes, a direct design method to guide iterative design practices, called the ideal forming theory, has been previously developed. In the theory, material elements are required to deform following the minimum Plastic work Path. The theory can be used to determine the ideal initial blank shape needed to best achieve a specified final shape while resulting in optimum strain distributions. In this work, the direct design method based on the ideal forming theory was applied to design initial design shape for VCR deck chassis. Based on the solution of the ideal forming theory, FEM analysis was utilized to evaluate an optimum blank shape to be formed without tearing. Simulation results are in good agreement with experimental data. It was shown that the proposed sequential design procedure based on direct design method and FEM can be successfully applied to optimize the die design Procedure of sheet metal forming processes.

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Studies on the Diffusion Current of Ideal Streaming Merury Electrode under Gravity (重力下의 理想噴出水銀電極의 擴散電流에 關한 硏究)

  • Kim, Hwang-Am;Jin, Chang-Hi
    • Journal of the Korean Chemical Society
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    • v.5 no.1
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    • pp.80-83
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    • 1961
  • Solution of the diffusion problem applicable to steady state reduction at the ideal streaming mercury electrode are presented, with special attention being given to the influence of stream contraction caused by the gravity. To eliminate the convection occurring in the layer between the streaming mercury and the electrolytic solution, a new method have been invented, in this case the solution being tested was streamed with same velocity of the streaming mercury. Experiment have been made in order to compare the experimental value with the theoretical value and the experimental diffusion current was approached more to the theoretical value than the value obtained by earlier form of the streaming mercury electrode used by Heyrovsky.

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Plane-strain bending based on ideal flow theory (이상 유동 이론에서의 평면 변형 벤딩)

  • Alexandrov Sergei;Lee W.;Chung K.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.05a
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    • pp.233-236
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    • 2004
  • The major objective of this paper is to clarify the effect of constitutive laws on bulk forming design based on the ideal flow theory. The latter theory is in general applicable for perfectly/plastic materials. However, its kinematics equations constitute a closed-form system, which are valid for any incompressible materials, therefore enabling us to extend design solutions based on the perfectly/plastic constitutive law to more realistic laws with rate sensitive hardening behavior. In the present paper, several constitutive laws commonly accepted for the modeling of cold and hot metal forming processes are considered and the effect of these laws on one particular plane-strain design is demonstrated. The closed form solution obtained describes a non-trivial nonsteady ideal process. The design solutions based on the ideal flow theory are not unique. To achieve the uniqueness, the criterion that the plastic work required to deform the initial shape of a given class of shapes into a prescribed final shape attains its minimum is adopted. Comparison with a non-ideal process is also made.

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