• Title/Summary/Keyword: solution algorithm

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Development of Parallel Eigenvalue Solution Algorithm with Substructuring Techniques (부구조기법을 이용한 병렬 고유치해석 알고리즘 개발)

  • 김재홍;성창원;박효선
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.10a
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    • pp.411-420
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    • 1999
  • The computational model and a new eigenvalue solution algorithm for large-scale structures is presented in the form of parallel computation. The computational loads and data storages required during the solution process are drastically reduced by evenly distributing computational loads to each processor. As the parallel computational model, multiple personal computers are connected by 10Mbits per second Ethernet card. In this study substructuring techniques and static condensation method are adopted for modeling a large-scale structure. To reduce the size of an eigenvalue problem the interface degrees of freedom and one lateral degree of freedom are selected as the master degrees of freedom in each substructure. The performance of the proposed parallel algorithm is demonstrated by applying the algorithm to dynamic analysis of two-dimensional structures.

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Optimum Cooling System Design of Injection Mold using Back-Propagation Algorithm (오류역전파 알고리즘을 이용한 최적 사출설형 냉각시스템 설계)

  • Tae, J.S.;Choi, J.H.;Rhee, B.O.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.357-360
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    • 2009
  • The cooling stage greatly affects the product quality in the injection molding process. The cooling system that minimizes temperature variance in the product surface will improve the quality and the productivity of products. In this research, we tried the back-propagation algorithm of artificial neural network to find an optimum solution in the cooling system design of injection mold. The cooling system optimization problem that was once solved by a response surface method with 4 design variables was solved by applying the back-propagation algorithm, resulting in a solution with a sufficient accuracy. Furthermore the number of training points was much reduced by applying the fractional factorial design without losing solution accuracy.

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A Study on Methodology of the Snow Removal Operation of Air Wing Using Hybrid ACS Algorithm (하이브리드 ACS 알고리즘을 이용한 군 비행단 제설작전 방법연구)

  • Choi, Jung-Rock;Kim, Gak-Gyu;Lee, Sang-Heon
    • Korean Management Science Review
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    • v.30 no.2
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    • pp.31-42
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    • 2013
  • The vehicle routing problem (VRP) can be described as a problem to find the optimum traveling routes from one or several depot (s) to number of geographically scattered customers. This study executes a revised Heterogeneous Vehicle Routing Problem (HVRP) to minimize the cost that needs to conduct efficiently the snow removal operations of Air Wing under available resources and limited operations time. For this HVRP, we model the algorithm of an hybrid Ant Colony System (ACS). In the initial step for finding a solution, the modeled algorithm applies various alterations of a parameter that presents an amount of pheromone coming out from ants. This improvement of the initial solution illustrates to affect to derive better result ultimately. The purpose of this study proves that the algorithm using Hybrid heuristic incorporated in tabu and ACS develops the early studies to search best solution.

$H^{\infty}$-optimization using the modified interpolation algorithm (개선된 보간 알고리즘을 이용한 $H^{\infty}$-최적화)

  • 이태형;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.46-51
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    • 1991
  • An algorithm of finding a solution to an $H^{\infty}$-minimization problem is proposed, and the solution is obtained explicity in terms of closed-form. We construct an optimal controller subject to the interpolation constraints such that $H^{\infty}$-norm and the minimized value of transfer function matrix are equal.l.

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A Vehicle Routing Problem Which Considers Hard Time Window By Using Hybrid Genetic Algorithm (하이브리드 유전자알고리즘을 이용한 엄격한 시간제약 차량경로문제)

  • Baek, Jung-Gu;Jeon, Geon-Wook
    • Journal of the military operations research society of Korea
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    • v.33 no.2
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    • pp.31-47
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    • 2007
  • The main purpose of this study is to find out the best solution of the vehicle routing problem with hard time window by using both genetic algorithm and heuristic. A mathematical programming model was also suggested in the study. The suggested mathematical programming model gives an optimal solution by using ILOG-CPLEX. This study also suggests a hybrid genetic algorithm which considers the improvement of generation for an initial solution by savings heuristic and two heuristic processes. Two heuristic processes consists of 2-opt and Or-opt. Hybrid genetic algorithm is also compared with existing problems suggested by Solomon. We found better solutions rather than the existing genetic algorithm.

Maximum Kill Selection Algorithm for Weapon Target Assignment (WTA) Problem (무기 목표물 배정 문제의 최대 치사인원 선택 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.2
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    • pp.221-227
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    • 2019
  • It has long been known that weapon target assignment (WTA) problem is NP-hard. Nonetheless, an exact solution can be found using Brute-Force or branch-and bound method which utilize approximation. Many heuristic algorithms, genetic algorithm particle swarm optimization, etc., have been proposed which provide near-optimal solutions in polynomial time. This paper suggests polynomial time algorithm that can be obtain the optimal solution of WTA problem for the number of total weapons k, the number of weapon types m, and the number of targets n. This algorithm performs k times for O(mn) so the algorithm complexity is O(kmn). The proposed algorithm can be minimize the number of trials than brute-force method and can be obtain the optimal solution.

Hepatitis C Stage Classification with hybridization of GA and Chi2 Feature Selection

  • Umar, Rukayya;Adeshina, Steve;Boukar, Moussa Mahamat
    • International Journal of Computer Science & Network Security
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    • v.22 no.1
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    • pp.167-174
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    • 2022
  • In metaheuristic algorithms such as Genetic Algorithm (GA), initial population has a significant impact as it affects the time such algorithm takes to obtain an optimal solution to the given problem. In addition, it may influence the quality of the solution obtained. In the machine learning field, feature selection is an important process to attaining a good performance model; Genetic algorithm has been utilized for this purpose by scientists. However, the characteristics of Genetic algorithm, namely random initial population generation from a vector of feature elements, may influence solution and execution time. In this paper, the use of a statistical algorithm has been introduced (Chi2) for feature relevant checks where p-values of conditional independence were considered. Features with low p-values were discarded and subject relevant subset of features to Genetic Algorithm. This is to gain a level of certainty of the fitness of features randomly selected. An ensembled-based learning model for Hepatitis has been developed for Hepatitis C stage classification. 1385 samples were used using Egyptian-dataset obtained from UCI repository. The comparative evaluation confirms decreased in execution time and an increase in model performance accuracy from 56% to 63%.

Activity of a Gifted Student Who Found Linear Algebraic Solution of Blackout Puzzle

  • Lee, Sang-Gu;Park, Jong-Bin;Yang, Jeong-Mo
    • Research in Mathematical Education
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    • v.8 no.3
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    • pp.215-226
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    • 2004
  • The purpose of this paper is to introduce an activity of student who found purely linear algebraic solution of the Blackout puzzle. It shows how we can help and work with gifted students. It deals with algorithm, mathematical modeling, optimal solution and software.

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Control of an stochastic nonlinear system by the method of dynamic programming

  • Choi, Wan-Sik
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.156-161
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    • 1994
  • In this paper, we consider an optimal control problem of a nonlinear stochastic system. Dynamic programming approach is employed for the formulation of a stochastic optimal control problem. As an optimality condition, dynamic programming equation so called the Bellman equation is obtained, which seldom yields an analytical solution, even very difficult to solve numerically. We obtain the numerical solution of the Bellman equation using an algorithm based on the finite difference approximation and the contraction mapping method. Optimal controls are constructed through the solution process of the Bellman equation. We also construct a test case in order to investigate the actual performance of the algorithm.

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SMOOTHING APPROXIMATION TO l1 EXACT PENALTY FUNCTION FOR CONSTRAINED OPTIMIZATION PROBLEMS

  • BINH, NGUYEN THANH
    • Journal of applied mathematics & informatics
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    • v.33 no.3_4
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    • pp.387-399
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    • 2015
  • In this paper, a new smoothing approximation to the l1 exact penalty function for constrained optimization problems (COP) is presented. It is shown that an optimal solution to the smoothing penalty optimization problem is an approximate optimal solution to the original optimization problem. Based on the smoothing penalty function, an algorithm is presented to solve COP, with its convergence under some conditions proved. Numerical examples illustrate that this algorithm is efficient in solving COP.