• Title/Summary/Keyword: problem decomposition

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Generalized Multicommodity Distribution System Design

  • Chen, Ju-Long;Morris, James-G.;Son, Ki-Hyoung
    • Management Science and Financial Engineering
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    • v.5 no.2
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    • pp.25-41
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    • 1999
  • This paper generalizes the classic two-stage multicommodity distribution system design problem to the one that includes plant locations as well as distribution center locations. Accommodating plant location leads to subproblems which are mixed are mixed integer. Hence. no LP-type subproblems are avail-able, and therefore standard Benders decomposition no longer applies. We develop new solution method which combines an integer L-shaped method with Benders decomposition to suit the purpose, and pre-sent the test results.

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A NEW LOAD LEVEL DECOMPOSITION ALGORITHM (부하수준을 고려한 조상설비 계획)

  • Park, Y.M.;Kim, G.J.;Kim, J.B.;Kim, Y.B.
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.98-101
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    • 1988
  • A non load level decomposition algorithm is presented for power system reactive source planning. The fuel cost is introduced to performance index in optimal operation problem. The investment variables are all reactive sources such as capacitance or inductance. Experiment showed a desirable result and the computation time reduced considerably.

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A Comparison of Distributed Optimal Power Flow Algorithm (최적조류계산 분산처리 기법의 비교)

  • Kim, Ho-Woong;Park, Marn-Guen;Kim, Bal-Ho;Kim, Jung-Hoon
    • Proceedings of the KIEE Conference
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    • 1999.07c
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    • pp.1046-1048
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    • 1999
  • This Paper compares two mathematical decomposition coordination methods to implementing the distributed optimal Power flow(OPF) using the regional decomposition: the Auxiliary Problem Principle(APP) and the Alternating Direction Method(ADM), a variant of the conventional Augmented Lagrangian approach. A case study was performed with IEEE 50-bus system.

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A DOMAIN DECOMPOSITION PRECONDITIONER FOR STEADY GROUNDWATER FLOW IN POROUS MEDIA

  • Ghahreman, N.;Kerayechian, A.
    • Journal of applied mathematics & informatics
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    • v.7 no.3
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    • pp.773-785
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    • 2000
  • In this paper an algorithm is presented based on the additive Schwarz method for steady groundwater flow in a porous medium. The subproblems in the algorithm correspond to the problem on a coarse grid and some overlapping subdomains. It will be shown that the rate of convergence is independent of the mesh parameters and discontinuities of the coefficients, and depends on the overlap ratio.

Legendre Tau Method for the 2-D Stokes Problem

  • Jun, SeRan;Kang, Sungkwon;Kwon, YongHoon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.2
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    • pp.111-133
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    • 2000
  • A Legendre spectral tau approximation scheme for solving the two-dimensional stationary incompressible Stokes equations is considered. Based on the vorticity-stream function formulation and variational forms, boundary value and normal derivative of vorticity are computed. A factorization technique for matrix stems based on the Schur decomposition is derived. Several numerical experiments are performed.

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A Model of Organizational Decision Process

  • Kim, Woo-Youl
    • Journal of the military operations research society of Korea
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    • v.7 no.2
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    • pp.63-99
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    • 1981
  • The generalized goal decomposition model proposed by Ruefli as a single period decision model is presented for the purpose of a review and extended to make a multiple period planning model. The multiple period planning model in the three level organization is formulated with, linear goal deviations by introducing the goal programming method. Dynamic formulation using the generalized goal decomposition model for each single period problem is also presented. An iterative search algorithm is presented as an appropriate solution method of the dynamic formulation of the multiple period planning model.

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A Distributed Power Allocation Scheme for Base Stations Powered by Retailers with Heterogeneous Renewable Energy Sources

  • Jeon, Seung Hyun;Lee, Joohyung;Choi, Jun Kyun
    • ETRI Journal
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    • v.38 no.4
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    • pp.746-756
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    • 2016
  • Owing to the intermittent power generation of renewable energy sources (RESs), future wireless cellular networks are required to reliably aggregate power from retailers. In this paper, we propose a distributed power allocation (DPA) scheme for base stations (BSs) powered by retailers with heterogeneous RESs in order to deal with the unreliable power supply (UPS) problem. The goal of the proposed DPA scheme is to maximize our well-defined utility, which consists of power satisfaction and unit power costs including added costs as a non-subscriber, based on linear and quadratic cost models. To determine the optimal amount of DPA, we apply dual decomposition, which separates the master problem into sub-problems. Optimal power allocation from each retailer can be obtained by iteratively coordinating between the BSs and retailers. Finally, through a mathematical analysis, we show that the proposed DPA can overcome the UPS for BSs powered from heterogeneous RESs.

Neighborhood Reduction in Local Search based on Geospatial Relation for Multi Depot Vehicle Routing Problems

  • Tamashiro, Hiroshi;Nakamura, Morikazu;Tamaki, Shiro;Onaga, Kenji
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.595-598
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    • 2002
  • This paper proposes neighborhood reduction techniques in local search of the customer decomposition subproblem in the Multi Depots Vehicle Routing Problem with Time Windows (MDVRPTW) by using geospatial relation among depots and customers. The neighborhood of the customer decomposition subproblem can be simply and well defined but it should include excessively bad solution candidates. Our techniques find such candidates by using information of the problem domain, geographical relation. We use our techniques in Tabu Search and evaluate the effectiveness in computer experiment.

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A Spatiotemporal Parallel Processing Model for the MLP Neural Network (MLP 신경망을 위한 시공간 병렬처리모델)

  • Kim Sung-Oan
    • Journal of the Korea Society of Computer and Information
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    • v.10 no.5 s.37
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    • pp.95-102
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    • 2005
  • A Parallel Processing model by considering a spatiotemporal parallelism is presented for the training procedure of the MLP neural network. We tried to design the flexible Parallel Processing model by simultaneously applying both of the training-set decomposition for a temporal parallelism and the network decomposition for a spatial parallelism. The analytical Performance evaluation model shows that when the problem size is extremely large, the speedup of each implementation depends, in the extreme, on whether the problem size is pattern-size intensive or pattern-quantify intensive.

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Multidimensional Spectral Estimation by Modal Decomposition

  • Ping, Liu-Wei
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.33.5-33
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    • 2001
  • We consider here the problem of spectral estimation of multidimensional wide sense stationary (WSS) random process. A method, employing a special difference equation of correlation function, is proposed to solve the problem of multidimensional spectral estimation. In this approach, the special difference equation of correlation function is derived by modal decomposition method. Maximum likelihood estimator and Kalman filter are used to estimate the model parameters of the difference equation and the decomposed spectral residues. An algorithm is presented to estimate the multidimensional spectral density. According to the result of the simulation, these methods are feasible to estimate the spectral density of WSS process, which is realized by finite dimensional multivariable lineal system driven by white noise.

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