• 제목/요약/키워드: a dynamic programming

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Multiple dynamic programming에 관한 연구 (A Study of Multiple Dynamic Programming)

  • 박영문
    • 전기의세계
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    • 제21권1호
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    • pp.13-16
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    • 1972
  • Dynamic Programming is regarded as a very powerful tool for solving nonlinear optimization problem subject to a number of constraints of state and control variables, but has definite disadvantages that it requires much more computing time and consumes much more memory spaces than other technigues. In order to eliminate the above-mentioned demerits, this paper suggests a news technique called Multiple Dynamic Programming. The underlying principles are based on the concept of multiple passes that, instead of forming fin lattices in time-state plane as adopted in the conventional Dynamic Programming, the Multiple Dynamic Programming constitutes, at the first pass, coarse lattices in the feasible domain of time-state plane and determines the optimal state trajectory by the usual method of Dynamic Programming, and at the second pass again constitutes finer lattices in the narrower domain surrounded by both the upperand lower edges next to the lattice edges through which the first pass optimal trajectory passes and determines the more accurate optimal trajectory of state, and then at the third pass repeats the same processes, and so on. The suggested technique insures remarkable curtailment in amounts of computer memory spaces and conputing time, and its applicability has been demonstrated by a case study on the hydro-thermal power coordination in Korean power system.

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부분서열정렬 개선 기법을 사용한 효율적인 복수서열정렬에 관한 알고리즘 (An Efficient Method for Multiple Sequence Alignment using Subalignment Refinement)

  • 김진;정우철;엄상용
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제30권9호
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    • pp.803-811
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    • 2003
  • 단백질들의 복수서열정렬은 단백질 서열간의 관계를 유추할 수 있는 유용한 도구이다. 최적화된 복수서열정렬을 얻기 위해 사용되는 가장 유용한 방법은 dynamic programming이다. 그러나 dynamic programming은 특정한 비용함수를 사용할 수 없기 때문에 특별한 경우 최소의 비용을 가지는 복수서열 정렬을 제공하지 못하는 문제점이 있다. 우리는 이러한 문제점을 해결하기 위하여 부분서열정렬 개선기법을 사용한 알고리즘을 제안하였으며, 이 알고리즘이 dynamic programming의 문제점을 효과적으로 해결함을 보였다.

동적계획모형을 이용한 근무형태 결정 (Determination of Work Schedule Type by Dynamic Programming)

  • 김중순;안봉근;손달호
    • 경영과학
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    • 제20권2호
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    • pp.33-43
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    • 2003
  • In this paper we applied dynamic programming to determining work schedule type. In dynamic programming formulation, each day during a planning horizon represents a stage for which a decision is made. The alternatives are given by work schedule types that combine regular time, overtime, additional shift, and so on. In this case, their associated return function is labor cost. The state is defined as the amount of work time allocated to stage 1, stage 2,…, and current stage. A case study for a real manufacturing company was performed to apply dynamic programming to scheduling daily work hours during a week. The case study showed that total cost of our solution derived from dynamic programming decreased by about 6% as compared with the solution obtained from the previous method.

An Approach of Solving the Constrained Dynamic Programming - an Application to the Long-Term Car Rental Financing Problem

  • Park, Tae Joon;Kim, Hak-Jin;Kim, Jinhee
    • 한국컴퓨터정보학회논문지
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    • 제26권12호
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    • pp.29-43
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    • 2021
  • 본 연구에서 제약식프로그래밍을 이용하여 제약식 있는 동적계획법 모형을 푸는 한 방법을 제시한다. 현재 제약식 있는 동적계획법을 다루는 방법은 각 단계별 제약식들의 상태를 일반적인 동적계획법의 상태공간에 추가하여 마치 제약식이 없는 동적계획법 방식을 적용하는데 반해, 이 연구에서 제시하는 방식은 제약식의 상태가 제약식프로그래밍의 변수 도메인으로 표현되고 저장된다. 계산에 있어서도 일반적인 동적계획법의 벨만방정식의 해법과 함께 제약식을 다루기 위한 제약식프로그래밍의 확산-추론 방법을 사용하는 하이브리드 방식을 따른다. 이 두가지 방식의 비교를 위해 특별히 장기 자동차 렌탈 문제를 제시하고 이 문제의 단순화된 모형을 중심으로 다른 방식으로 해결하는 과정을 보고 그 장단점을 논한다.

최소절단손실(最小切斷損失)에 의한 최적생산(最適生産)길이의 선정(選定)에 대한 동적계획법응용(動的計劃法應用) (An Application of Dynamic Programming to the Selection of Optimal Production Lengths Based on the Minimum Cutting Loss)

  • 조규갑
    • 대한산업공학회지
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    • 제4권2호
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    • pp.77-81
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    • 1978
  • The assortment problem with deterministic demand has been formulated so that a dynamic programming can be applied to find optimal production lengths that will minimize the sum of cutting losses. The original minimization problem can be reformulated as the maximization problem with a different objective function. This problem can be solved by the dynamic programming technique. A numerical example illustrates this approach. The ratio of computation amount of emumeration method to that of this dynamic programming is approximately n to 1.

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Approximate Dynamic Programming Strategies and Their Applicability for Process Control: A Review and Future Directions

  • Lee, Jong-Min;Lee, Jay H.
    • International Journal of Control, Automation, and Systems
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    • 제2권3호
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    • pp.263-278
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    • 2004
  • This paper reviews dynamic programming (DP), surveys approximate solution methods for it, and considers their applicability to process control problems. Reinforcement Learning (RL) and Neuro-Dynamic Programming (NDP), which can be viewed as approximate DP techniques, are already established techniques for solving difficult multi-stage decision problems in the fields of operations research, computer science, and robotics. Owing to the significant disparity of problem formulations and objective, however, the algorithms and techniques available from these fields are not directly applicable to process control problems, and reformulations based on accurate understanding of these techniques are needed. We categorize the currently available approximate solution techniques fur dynamic programming and identify those most suitable for process control problems. Several open issues are also identified and discussed.

Design and Implementation of the Systolic Array for Dynamic Programming

  • Lee, Jae-Jin;Tien, David;Song, Gi-Yong
    • 융합신호처리학회논문지
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    • 제4권3호
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    • pp.61-67
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    • 2003
  • We propose a systolic array for dynamic programming which is a technique for solving combinatorial optimization problems. We derive a systolic array for single source shortest path Problem, SA SSSP, and then show that the systolic array serves as dynamic Programming systolic array which is applicable to any dynamic programming problem by developing a systolic array for 0 1 knapsack problem, SA 01KS, with SA SSSP for a basis. In this paper, each of SA SSSP and SA 01KS is modeled and simulated in RT level using VHDL, then synthesized to a schematic and finally implemented to a layout using the cell library based on 0.35${\mu}{\textrm}{m}$ 1 poly 4 metal CMOS technology.

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RAS Dynamic Programming을 이용한 최적 경로 탐색에 관한 연구 (A Study about Finding Optimal Path Using HAS Dynamic Programming)

  • 김정태;조현철;이권순
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2007년도 추계학술대회 및 제23회 정기총회
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    • pp.226-227
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    • 2007
  • 항만 물동량의 증가로 자동화 항만 시스템에 대한 연구가 활발히 진행되고 있다. 본 연구는 선형 모터 기반 이송 장비인 LMTT 시스템의 자동화 운용에 있어 충돌 및 교착상태를 방지하기 위해 Random Access Sequence Dynamic Programming(RAS DP)를 이용한 최적 경로 탐색 알고리즘을 제안한다. 제안하는 알고리즘은 실시간으로 각 shuttle car의 최적 경로를 탐색한다.

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3차원 동적계획법에 의한 직접부하제어를 고려한 기동정지계획 방법론의 개발 (Development of Unit Commitment Methodology Considering Direct Load Control by 3-Dimensional Dynamic Programming)

  • 이범;김용하;최상규;김형중
    • 대한전기학회논문지:전력기술부문A
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    • 제51권12호
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    • pp.591-596
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    • 2002
  • This Paper Presents a new methodology for Direct Load Control(DLC) and Unit Commitment. To consider economical effect of DLC, we developed 3-Dimensional dynamic programming which can combine unit commitment and DLC. Traditional dynamic programming has 2-Dimensional which consist of state and stage, but newly developed dynamic programming has DLC state, U.C. state, and stage. As a result, economical DLC and unit commitment schedule of the power system is possible. This method is applied to the test system, and the usefulness of the method is verified.

제어를 위한 동적 프로그래밍에 관한 연구 (A Study on the Dynamic Programming for Control)

  • 조항덕;김우식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.556-559
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    • 2007
  • The notion of linearity is fundamental in science and engineering. Much of system and control theory is based on the analysis of linear system, which does not care whether it is nonlinear and complex. The dynamic programming is one of concerned technology when users are interested in choosing best choice from system operation for nonlinear or dynamic system‘s performance and control problem. In this paper, we will introduce the dynamic programming which is based on discrete system. When the discrete system is constructed with discrete state, transfer between states, and the event to induct transfer, the discrete system can describe the system operation as dynamic situation or symbolically at the logical point of view. We will introduce technologies which are related with controllable of Controlled Markov Chain as shown example of simple game. The dynamic programming will be able to apply to optimal control part which has adaptable performance in the discrete system.

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