• Title/Summary/Keyword: DP(Dynamic Programming)

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Reevaluation of Operational Policies for a Reservoir System

  • Ko, Ick-Hwan;Choi, Ye-Hwan
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.39 no.2
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    • pp.1-8
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    • 1997
  • Abstract The need for integrated reservoir system operation become more intense as the demands from the system increase. A deterministic, three-dimensional discrete incremental dynamic programming approach is presented to derive reservoirs system operational planning strategies. The developed H3DP model optimizes the monthly operation of the Hwachon and Soyang Projects on the North Han river and Chungju Main Project on the South Han river. By using the H3DP model, Hwachon project was reevaluated as a component of the upstream multipurpose storage reservoirs in the basin based on 1993 hydrology. This case study demonstrates the practical use of the developed model for the basin multi-reservoir system operation in an integrated, multipurpose fashion.

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A Graph Search Method for Shortest Path-Planning of Mobile Robots (자율주행로봇의 최소경로계획을 위한 그래프 탐색 방법)

  • You, Jin-O;Chae, Ho-Byung;Park, Tae-Hyoung
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.184-186
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    • 2006
  • We propose a new method for shortest path planning of mobile robots. The topological information of the graph is obtained by thinning method to generate the collision-free path of robot. And the travelling path is determined through hierarchical planning stages. The first stage generates an initial path by use of Dijkstra's algorithm. The second stage then generates the final path by use of dynamic programming (DP). The DP adjusts the intial path to reduce the total travelling distance of robot. Simulation results are presented to verify the performance of the proposed method.

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Clustering of Stereo Matching Data for Vehicle Segmentation (차량분리를 위한 스테레오매칭 데이터의 클러스터링)

  • Lee, Ki-Yong;Lee, Joon-Woong
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.8
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    • pp.744-750
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    • 2010
  • To segment instances of vehicle classes in a sparse stereo-matching data set, this paper presents an algorithm for clustering based on DP (Dynamic Programming). The algorithm is agglomerative: it begins with each element in the set as a separate cluster and merges them into successively larger clusters according to similarity of two clusters. Here, similarity is formulated as a cost function of DP. The proposed algorithm is proven to be effective by experiments performed on various images acquired by a moving vehicle.

A Sequence Similarity Algorithm Irrelevant to Sequence Length (서열의 길이에 무관한 유사도 측정 알고리즘)

  • Kim, Jae-Kwang;Lee, Jee-Hyong
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.13-16
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    • 2008
  • Dynamic Programming (DP)을 이용한 서열 비교 알고리즘은 DNA, RNA, 단백질 서열의 비교와 프로그래밍 소스 코드 유사도를 측정하는 곳 등에 널리 사용되어 왔다. 이 알고리즘은 DP를 이용하여 행렬을 구성한 후, 행렬의 가장 마지막 생성 값을 이용해 두 서열의 유사도를 측정하는 방법이다. 그러나 이 알고리즘에서 사용하는 마지막 생성 값은 비교 서열이 길이에 따라 크게 좌우되기 때문에 다양한 서열들의 유사도를 알아내기에는 부적합하다. 본 논문에서는 서열의 길이에 무관한 유사도 측정 (S2) 알고리즘을 제안한다. 제안된 알고리즘을 이용하면 비교 서열의 길이에 영향을 받지 않고 정당한 서열 비교를 할 수 있다. 제안된 알고리즘의 검증을 위해 본 논문에서는 프로그램 소스 코드의 유사도 측정을 수행한다.

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Fast Object Recognition using Local Energy Propagation from Combination of Saline Line Groups (직선 조합의 에너지 전파를 이용한 고속 물체인식)

  • 강동중
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.311-311
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    • 2000
  • We propose a DP-based formulation for matching line patterns by defining a robust and stable geometric representation that is based on the conceptual organizations. Usually, the endpoint proximity and collinearity of image lines, as two main conceptual organization groups, are useful cues to match the model shape in the scene. As the endpoint proximity, we detect junctions from image lines. We then search for junction groups by using geometric constraint between the junctions. A junction chain similar to the model chain is searched in the scene, based on a local comparison. A Dynamic Programming-based search algorithm reduces the time complexity for the search of the model chain in the scene. Our system can find a reasonable matching, although there exist severely distorted objects in the scene. We demonstrate the feasibility of the DP-based matching method using both synthetic and real images.

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Scheduling Parallel Machines for the Customer Order Problem with Fixed Batch Sequence (고정된 주문 작업순서를 갖는 소비자 주문 문제를 이한 병렬 기계의 일정계획)

  • Yang, Jaehwan
    • Journal of Korean Institute of Industrial Engineers
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    • v.29 no.4
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    • pp.304-311
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    • 2003
  • This paper considers a new variation of scheduling problems where jobs are dispatched in batches. The variation is the case where the batch sequence is fixed. The objective is to minimize the sum of the completion times of the batches. This simple environment has a variety of real world applications such as part kitting and customer order scheduling. We show that this problem is binary NP-complete when there exist two machines. For the same problem, we develop an optimal dynamic programming (DP) algorithm which runs in pseudo-polynomial time. We finally prove the optimality of the DP algorithm.

Dynamic Programming Model for Optimal Replacement Policy with Multiple Challengers (다수의 도전장비 존재시 설비의 경제적 수명과 최적 대체결정을 위한 동적 계획모형)

  • Kim, Tae-Hyun;Kim, Sheung-Kown
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.4
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    • pp.466-475
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    • 1999
  • A backward Dynamic Programming(DP) model for the optimal facility replacement decision problem during a finite planning horizon is presented. Multiple alternative challengers to a current defender are considered. All facilities are assumed to have finite service lives. The objective of the DP model is to maximize the profit over a finite planning horizon. As for the cost elements, purchasing cost, maintenance costs and repair costs as well as salvage value are considered. The time to failure is assumed to follow a weibull distribution and the maximum likelihood estimation of Weibull parameters is used to evaluate the expected cost of repair. To evaluate the revenue, the rate of operation during a specified period is employed. The cash flow component of each challenger can vary independently according to the time of occurrence and the item can be extended easily. The effects of inflation and the time value of money are considered. The algorithm is illustrated with a numerical example. A MATLAB implementation of the model is used to identify the optimal sequence and timing of the replacement.

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Dynamic Programming Algorithms for Scheduling Jobs with Sequence-Dependent Processing Times (순서 의존적인 작업시간을 갖는 작업들의 스케쥴링을 위한 동적계획법)

  • Lee, Moon-Kyu;Lee, Seung-Joo
    • Journal of Korean Institute of Industrial Engineers
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    • v.24 no.3
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    • pp.431-446
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    • 1998
  • In this paper, we consider the problem of scheduling n jobs with sequence-dependent processing times on a set of parallel-identical machines. The processing time of each job consists of a pure processing time and a sequence-dependent setup time. The objective is to maximize the total remaining machine available time which can be used for other tasks. For the problem, we first propose a dynamic programming(DP) algorithm for sequencing jobs processed on a single machine. The algorithm is then extended to handle jobs on parallel-identical machines. Finally, we developed an improved version of the algorithm which generates optimal solutions using much smaller amount of memory space and computing time. Computational results are provided to illustrate the performance of the DP algorithms.

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Control of pH Neutralization Process using Simulation Based Dynamic Programming in Simulation and Experiment (ICCAS 2004)

  • Kim, Dong-Kyu;Lee, Kwang-Soon;Yang, Dae-Ryook
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.620-626
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    • 2004
  • For general nonlinear processes, it is difficult to control with a linear model-based control method and nonlinear controls are considered. Among the numerous approaches suggested, the most rigorous approach is to use dynamic optimization. Many general engineering problems like control, scheduling, planning etc. are expressed by functional optimization problem and most of them can be changed into dynamic programming (DP) problems. However the DP problems are used in just few cases because as the size of the problem grows, the dynamic programming approach is suffered from the burden of calculation which is called as 'curse of dimensionality'. In order to avoid this problem, the Neuro-Dynamic Programming (NDP) approach is proposed by Bertsekas and Tsitsiklis (1996). To get the solution of seriously nonlinear process control, the interest in NDP approach is enlarged and NDP algorithm is applied to diverse areas such as retailing, finance, inventory management, communication networks, etc. and it has been extended to chemical engineering parts. In the NDP approach, we select the optimal control input policy to minimize the value of cost which is calculated by the sum of current stage cost and future stages cost starting from the next state. The cost value is related with a weight square sum of error and input movement. During the calculation of optimal input policy, if the approximate cost function by using simulation data is utilized with Bellman iteration, the burden of calculation can be relieved and the curse of dimensionality problem of DP can be overcome. It is very important issue how to construct the cost-to-go function which has a good approximate performance. The neural network is one of the eager learning methods and it works as a global approximator to cost-to-go function. In this algorithm, the training of neural network is important and difficult part, and it gives significant effect on the performance of control. To avoid the difficulty in neural network training, the lazy learning method like k-nearest neighbor method can be exploited. The training is unnecessary for this method but requires more computation time and greater data storage. The pH neutralization process has long been taken as a representative benchmark problem of nonlin ar chemical process control due to its nonlinearity and time-varying nature. In this study, the NDP algorithm was applied to pH neutralization process. At first, the pH neutralization process control to use NDP algorithm was performed through simulations with various approximators. The global and local approximators are used for NDP calculation. After that, the verification of NDP in real system was made by pH neutralization experiment. The control results by NDP algorithm was compared with those by the PI controller which is traditionally used, in both simulations and experiments. From the comparison of results, the control by NDP algorithm showed faster and better control performance than PI controller. In addition to that, the control by NDP algorithm showed the good results when it applied to the cases with disturbances and multiple set point changes.

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Comparative Analysis of Optimization Algorithms and the Effects of Coupling Hedging Rules in Reservoir Operations

  • Kim, Gi Joo;Kim, Young-Oh
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.206-206
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    • 2021
  • The necessity for appropriate management of water resources infrastructures such as reservoirs, levees, and dikes is increasing due to unexpected hydro-climate irregularities and rising water demands. To meet this need, past studies have focused on advancing theoretical optimization algorithms such as nonlinear programming, dynamic programming (DP), and genetic programming. Yet, the optimally derived theoretical solutions are limited to be directly implemented in making release decisions in the real-world systems for a variety of reasons. This study first aims to comparatively analyze the two prominent optimization methods, DP and evolutionary multi-objective direct policy search (EMODPS), under historical inflow series using K-fold cross validation. A total of six optimization models are formed each with a specific formulation. Then, one of the optimization models was coupled with the actual zone-based hedging rule that has been adopted in practice. The proposed methodology was applied to Boryeong Dam located in South Korea with conflicting objectives between supply and demand. As a result, the EMODPS models demonstrated a better performance than the DP models in terms of proximity to the ideal. Moreover, the incorporation of the real-world policy with the optimal solutions improved in all indices in terms of the supply side, while widening the range of the trade-off between frequency and magnitude measured in the sides of demand. The results from this study once again highlight the necessity of closing the gap between the theoretical solutions with the real-world implementable policies.

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