• Title/Summary/Keyword: convergence approach

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Shape Optimization for Reinforced Concrete Culvert (철근콘크리트 암거의 형상 최적화)

  • Kim, Kee-Dae
    • Journal of the Korean Society of Industry Convergence
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    • v.5 no.3
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    • pp.261-268
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    • 2002
  • In this paper, the shape optimization is considered over the upper slab of reinforced concrete culvert. The sequential linear programming method (SLP) is used as a rational approach to this shape optimization. To make a comparison between the arch shaped member and the straight member for the upper slab, the culverts with 5~20m earth height were adopted. It is shown that the optimum rise/span is about 7%-13%, and the arch shaped member is more cheap (over 10%) than the straight member for the construction cost.

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An Accelerated Genetic Algorithm for the Vehicle Routing Problem

  • Shin, Hae-Woong;Kang, Maing-Kyu
    • Journal of the Korean Operations Research and Management Science Society
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    • v.21 no.1
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    • pp.101-114
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    • 1996
  • This study suggests an accelerated genetic algorithm for the vehicle routing problem (AGAVRP). This algorithm treats both the single-visit and the multiple-visit models. AGAVRP is accelerated by the OR techniques at the various stages of the algorithm. In order to improve the convergence of AGAVRP, a robust set of parameters is determined by the experimental design approach. The relative performance of AGAVRP is comparable to the other known algorithms. The advantage of the proposed algorithm is flexibility and better convergence.

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A partial proof of the convergence of the block-ADI preconditioner

  • Ma, Sang-Back
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.495-501
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    • 1996
  • There is currently a regain of interest in ADI (Alternating Direction Implicit) method as a preconditioner for iterative Method for solving large sparse linear systems, because of its suitability for parallel computation. However the classical ADI is not applicable to FE(Finite Element) matrices. In this paper wer propose a Block-ADI method, which is applicable to Finite Element metrices. The new approach is a combination of classical ADI method and domain decompositi on. Also, we provide a partial proof of the convergence based on the results from the regular splittings, in case the discretization metrix is symmetric positive definite.

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GENERALIZED RELAXED PROXIMAL POINT ALGORITHMS INVOLVING RELATIVE MAXIMAL ACCRETIVE MODELS WITH APPLICATIONS IN BANACH SPACES

  • Verma, Ram U.
    • Communications of the Korean Mathematical Society
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    • v.25 no.2
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    • pp.313-325
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    • 2010
  • General models for the relaxed proximal point algorithm using the notion of relative maximal accretiveness (RMA) are developed, and then the convergence analysis for these models in the context of solving a general class of nonlinear inclusion problems differs significantly than that of Rockafellar (1976), where the local Lipschitz continuity at zero is adopted instead. Moreover, our approach not only generalizes convergence results to real Banach space settings, but also provides a suitable alternative to other problems arising from other related fields.

Asymptotic Behaviro of Adaptive Systems: Convergence Analysis Without the Barbalat's Lemma

  • Hong, Keum-Shik;Hong, Yong-do
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.277-282
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    • 1994
  • Convergence of the state error e to zero in adaptive systems is shown using the uniqueness of solutions and the existence of a Lyapunov function in which the adaptation laws are constructed. Results in the paper are general, and therefore applicable to any adaptive control of a linear/nonlinear, time-varying or distributed-parameter system. Since the approach taken in the paper does not require the boundedness of the derivative of the state error e for all t .geq. 0, it is particularly useful in the adaptive control of infinite dimensional systems.

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Ubiquitous Crisis and Renormalization Approach for e-commerce : Critical Phenomena and Emergence of Phase Transition ; Logarithmic convergence

  • Ito, Ken;Kazuomi;Fukuta, Takanari
    • Proceedings of the CALSEC Conference
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    • 2004.02a
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    • pp.89-97
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    • 2004
  • 1. Introduction; Fundamental Difference between conventional old commerce and e-commerce? 2. "Quantity changes into Quality"; Phase transition and Critical phenomena Logarithmic Convergence and Emergence of Quality 3. Networked Small World; Indications from Genomics; Power-Law Ordered Plain Structure of Super-Complex System ⇔ The Structure of e-Biz. 4. Uniquitous Crisis to Ubiquitous Critical Points for the Emergence of Qualified Business with e-strucrure

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A Study on Optimization of Structure with Limit State Constraints (한계상태를 고려한 구조물의 최적화에 관한 연구)

  • Kim, Kee-Dae
    • Journal of the Korean Society of Industry Convergence
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    • v.7 no.2
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    • pp.181-186
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    • 2004
  • This study presents a optimization of structure, in which constraints contain the conditions of stress and serviceability, while the sequential linear programming method (SLP) is used as a rational approach. The optimum design results contained on the limit state constraints are compared with those obtained by the only stress and ministry of construction enacted standard plans. A simple slab bridge is analysed numerically for illustration of the structural optimization. It may be asserted that serviceability constraints is very important to a structure design.

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Optimum Design of Retaining Wall with Seismic Constraints (내진제약조건(耐震制約條件)을 갖는 옹벽(擁壁)의 최적설계(最適設計))

  • Kim, Kee-Dae
    • Journal of the Korean Society of Industry Convergence
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    • v.6 no.2
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    • pp.95-102
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    • 2003
  • In this paper, optimum design is considered over the retaining wall with seismic constraints. The sequential linear programming method(SLP) is used as a rational approach to this optimum design. To make a comparison between the seismic design and the normal design, retaining wall with 4~7m height were adopted. It is shown that the seismic design is more expensive (over 30%) than the normal design for the construction cost.

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A Least Squares Approach to Escalator Algorithms for Adaptive Filtering

  • Kim, Nam-Yong
    • ETRI Journal
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    • v.28 no.2
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    • pp.155-161
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    • 2006
  • In this paper, we introduce an escalator (ESC) algorithm based on the least squares (LS) criterion. The proposed algorithm is relatively insensitive to the eigenvalue spread ratio (ESR) of an input signal and has a faster convergence speed than the conventional ESC algorithms. This algorithm exploits the fast adaptation ability of least squares methods and the orthogonalization property of the ESC structure. From the simulation results, the proposed algorithm shows superior convergence performance.

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