• East Asian mathematical journal
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• 제29권3호
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• pp.279-292
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• 2013

It is well known that each kernel function defines a primal-dual interior-point method(IPM). Most of polynomial-time interior-point algorithms for linear optimization(LO) are based on the logarithmic kernel function([2, 11]). In this paper we define a new eligible kernel function and propose a new search direction and proximity function based on this function for LO problems. We show that the new algorithm has ${\mathcal{O}}((log\;p){\sqrt{n}}\;log\;n\;log\;{\frac{n}{\epsilon}})$ and ${\mathcal{O}}((q\;log\;p)^{\frac{3}{2}}{\sqrt{n}}\;log\;{\frac{n}{\epsilon}})$ iteration bound for large- and small-update methods, respectively. These are currently the best known complexity results.

• 대한수학회논문집
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• 제25권4호
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• pp.655-669
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• 2010

In this paper we propose new primal-dual interior point methods (IPMs) for $P_*(\kappa)$ linear complementarity problems (LCPs) and analyze the iteration complexity of the algorithm. New search directions and proximity measures are defined based on a class of kernel functions, $\psi(t)=\frac{t^2-1}{2}-{\int}^t_1e{^{q(\frac{1}{\xi}-1)}d{\xi}$, $q\;{\geq}\;1$. If a strictly feasible starting point is available and the parameter $q\;=\;\log\;\(1+a{\sqrt{\frac{2{\tau}+2{\sqrt{2n{\tau}}+{\theta}n}}{1-{\theta}}\)$, where $a\;=\;1\;+\;\frac{1}{\sqrt{1+2{\kappa}}}$, then new large-update primal-dual interior point algorithms have $O((1\;+\;2{\kappa})\sqrt{n}log\;n\;log\;{\frac{n}{\varepsilon}})$ iteration complexity which is the best known result for this method. For small-update methods, we have $O((1\;+\;2{\kappa})q{\sqrt{qn}}log\;{\frac{n}{\varepsilon}})$ iteration complexity.

• 호남수학학술지
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• 제35권2호
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• pp.235-249
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• 2013

It is well known that each kernel function defines primal-dual interior-point method (IPM). Most of polynomial-time interior-point algorithms for linear optimization (LO) are based on the logarithmic kernel function ([9]). In this paper we define new eligible kernel function and propose a new search direction and proximity function based on this function for LO problems. We show that the new algorithm has $\mathcal{O}(({\log}\;p)^{\frac{5}{2}}\sqrt{n}{\log}\;n\;{\log}\frac{n}{\epsilon})$ and $\mathcal{O}(q^{\frac{3}{2}}({\log}\;p)^3\sqrt{n}{\log}\;\frac{n}{\epsilon})$ iteration complexity for large- and small-update methods, respectively. These are currently the best known complexity results for such methods.

• 한국인터넷방송통신학회논문지
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• 제24권2호
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• pp.99-104
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• 2024

이진트리의 최소 선형 배열(MinLA) 문제의 해는 선형 복잡도 O(n)의 근사 알고리즘으로 구하고 있으며, k = 10에 대해 다양한 근사 알고리즘 수행 결과가 제시되어 있고, 단지 2개 알고리즘만이 최적 해 3,696을 얻었다. 본 논문은 이진트리의 정확한 해를 O(n) 복잡도로 구하는 알고리즘을 제안하였다. 제안된 알고리즘은 먼저, n = 2^k - 1개 노드들에 중위 탐색(in-order search) 방법으로 번호를 부여하고, 2 ≤ 𝑙 ≤ k-2, (k = 5)와 2 ≤ 𝑙 ≤ k-3, (k = 6) 레벨에 존재하는 노드들에 대해 단 노드 자식들까지의 범위를 대상으로 번호를 재배열하는 방법을 적용하였다. 제안된 알고리즘을 k=5,6,7에 적용한 결과 Chung[14]의 S^(k)_min=2^k-1+4+S^(k-1)_min+2S^(k-2)_min 이론을 증명하였으며, S⁽⁵⁾_min에 대해서는 Chung[14]의 60보다 좋은 58을 얻었다. 또한, 기존의 근사 알고리즘들은 배열 결과를 제시하지 않고 있는데 비해 제안된 알고리즘은 정확한 배열 방법도 제시하는 장점을 갖고 있다. 따라서 제안된 알고리즘은 k > 10인 이진트리에 대해서도 항상 빠르게 최적의 해를 얻을 수 있기 때문에 기존의 근사 알고리즘을 적용하지 않아도 된다.

• 대한산업공학회지
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• 제23권4호
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• pp.661-667
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• 1997

We consider a generalized problem of the continuous multiple choice knapsack problem and study on the LP relaxation of the candidate problems which are generated in the branch and bound algorithm for solving the generalized problem. The LP relaxed candidate problem is called the generalized continuous multiple choice linear knapsack problem and characterized by some variables which are partitioned into continuous multiple choice constraints and the others which only belong to simple upper bound constraints. An efficient algorithm of order O($n^2logn$) is developed by exploiting some structural properties and applying binary search to ordered solution sets, where n is the total number of variables. A numerical example is presented.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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• pp.956-959
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• 1996

In this study, we propose a neuro-genetic controller combined with a linear controller in parallel to improve the tracking performance of the Line of Sight(LOS) stabilization system and reject the effect of disturbances. A Genetic Algorithm(GA) is used to optimize weights of the neuro-genetic controller since this algorithm can search a global minimum without derivatives or other auxiliary knowledge. The LOS system is very complex and has limited measurable output data. Under these specific circumstances GA solves many problems that other training methods have. Computer simulation results show that the, proposed controller makes better tracking response and rejection of disturbance than a linear controller.

• 한국컴퓨터정보학회논문지
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• 제7권3호
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• pp.42-48
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• 2002

배치(Placement)는 VLSI 회로의 physical design에서 중요한 단계로서 회로의 성능을 최대로 하기 위하여 회로 모듈의 집합을 배치시키는 문제이며, 배치 문제에서 최적의 해를 얻기 위해 클러스터 성장(cluster growth), 시뮬레이티드 어닐링(simulated annealing; SA), ILP(integer linear programming)등의 방식이 이용된다. 본 논문에서는 배치 문제에 대하여 유전자 알고리즘(genetic algorithm; GA)을 이용한 해 공간 탐색(solution space search) 방식을 제안하였으며, 제안한 방식을 시뮬레이티드 어닐링 방식과 비교, 분석하였다.

• 국제학술발표논문집
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• The 2th International Conference on Construction Engineering and Project Management
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• pp.530-539
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• 2007

Many construction projects such as highways, pipelines, tunnels, and high-rise buildings typically contain repetitive activities. Research has shown that the Critical Path Method (CPM) is not efficient in scheduling linear construction projects that involve repetitive tasks. Linear Scheduling Method (LSM) is one of the techniques that have been developed since 1960s to handle projects with repetitive characteristics. Although LSM has been regarded as a technique that provides significant advantages over CPM in linear construction projects, it has been mainly viewed as a graphical complement to the CPM. Studies of scheduling linear construction projects with resource consideration are rare, especially with multiple resource constraints. The objective of this proposed research is to explore a resource assignment mechanism, which assigns multiple critical resources to all activities to minimize the project duration while satisfying the activities precedence relationship and resource limitations. Resources assigned to an activity are allowed to vary within a range at different stations, which is a combinatorial optimization problem in nature. A heuristic multiple resource allocation algorithm is explored to obtain a feasible initial solution. The Simulated Annealing search algorithm is then utilized to improve the initial solution for obtaining near-optimum solutions. A housing example is studied to demonstrate the resource assignment mechanism.

• 대한전자공학회논문지SP
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• 제46권3호
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• pp.28-36
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• 2009

본 논문은 비디오의 시간적 화질 향상을 위한 새로운 프레임율 증가 방법을 제안한다. 제안하는 방법에서는 계층적 움직임 추정 시에 탐색범위를 적응적으로 변환하는 방법을 이용하며, 움직임 보상 시 보간되지 않은 부분에 한하여 양방향 움직임 추정 및 보상과 선형 보간법을 수행한다. 부정확한 움직임 벡터 추정으로 인한 오류를 방지하기 위하여 신뢰도를 기반으로 탐색범위를 적응적으로 조절하며, 움직임 추정에 대한 신뢰도를 높이기 위하여 분산이 높은 블록 순으로 움직임 추정을 수행한다. 또한, 보간되지 않은 영역에서 배경과 객체를 분리한 후 배경인 영역에서는 선형보간법을 수행하고, 객체로 추정된 영역에서는 양방향 움직임 추정 방법을 이용하여 보간한다. 알고리즘의 성능을 평가하기 위하여 원본 프레임과 제안한 알고리즘을 이용하여 보간한 프레임 사이의 PSNR을 측정하였다. 그 결과, 화질이 기존 알고리즘보다 약 2dB 정도 개선되었으며, 블록화 현상과 몽롱화 현상이 감소한 것을 확인할 수 있었다.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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• pp.107-112
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• 1998

In this paper, we propose a new paradigm (NEW_BP) to be capable of overcoming limitations of the traditional backpropagation(OLD_BP). NEW_BP is based on the method of conjugate gradients with the normalized direction vectors and computes step size through the linear search which may be characterized by order statistics and golden section. Simulation results showed that NEW_BP was definitely superior to both the stochastic OLD_BP and the deterministic OLD_BP in terms of accuracy and rate of convergence and might sumount the problem of local minima. Furthermore, they confirmed us that stagnant phenomenon of training in OLD_BP resulted from the limitations of its algorithm in itself and that unessential approaches would never cured it of this phenomenon.