• Title/Summary/Keyword: Optimal problem

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Optimal Packet Scheduling for Energy Harvesting Sources on Time Varying Wireless Channels

  • Kashef, Mohamed;Ephremides, Anthony
    • Journal of Communications and Networks
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    • v.14 no.2
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    • pp.121-129
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    • 2012
  • In this paper, we consider a source node that operates over a time varying channel with energy harvesting capability. The goal of the source is to maximize the average number of successfully delivered packets per time slot. The source is able to choose whether to transmit a packet or defer the transmission in each time slot. The decision which is chosen by the source depends on the channel information available and the length of the energy queue. We formulate the problem of finding the optimal policy as a Markovian decision problem. We show some properties of the value function that represents the discounted number of successfully delivered packets per time slot. We prove that the optimal policy is a threshold type policy depending on the state of the channel and the length of the energy queue. We also derive an upper bound for the average number of packets per time slots successfully received by the destination. We show using numerical results that this bound is a tight bound on the performance of the optimal policy. And we consider the case of time varying channel but without channel state information (CSI). Then, we study the impact of channel time varying nature and the availability of CSI. In this case, we show that the optimal policy is a greedy policy. The performance of this greedy policy is also calculated.

On the convergence Rate Improvement of Mathematical Decomposition Technique on distributed Optimal Power Flow (수화적 분할 기법을 이요한 분산처리 최적조류계산의 수렴속도 향상에 관한 연구)

  • Hur, Don;Park, Jong-Keun;Kim, Balho-H.
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.50 no.3
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    • pp.120-130
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    • 2001
  • We present an approach to parallelizing optimal power flow that is suitable for distributed implementation and is applicable to very large interconnected power systems. This approach can be used by utilities to optimize economy interchange without disclosing details of their operating costs to competitors. Recently, it is becoming necessary to incorporate contingency constraints into the formulation, and more rapid updates of telemetered data and faster solution time are becoming important to better track changes in the system. This concern led to a research to develop an efficient algorithm for a distributed optimal power flow based on the Auxiliary Problem Principle and to study the convergence rate improvement of the distributed algorithm. The objective of this paper is to find a set of control parameters with which the Auxiliary Problem Principle (Algorithm - APP) can be best implemented in solving optimal power flow problems. We employed several IEEE Reliability Test Systems, and Korea Power System to demonstrate the alternative parameter sets.

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New Branching Criteria for the Asymmetric Traveling Salesman Problem (비대칭 외판원 문제를 위한 새로운 분지기법)

  • 지영근;강맹규
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.39
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    • pp.9-18
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    • 1996
  • Many algorithms have been developed for optimizing the asymmectric traveling salesman problem known as a representative NP-Complete problem. The most efficient ones of them are branch and bound algorithms based on the subtour elimination approach. To increase efficiency of the branch and bound algorithm. number of decision nodes should be decreased. For this the minimum bound that is more close at the optimal solution should be found or an effective bounding strategy should be used. If the optimal solution has been known, we may apply it usefully to branching. Because a good feasible solution should be found as soon as possible and have similar features of the optimal solution. By the way, the upper bound solution in branch and bound algorithm is most close at the optimal solution. Therefore, the upper bound solution can be used instead of the optimal solution and information of which can be applied to new branching criteria. As mentioned above, this paper will propose an effective branching rule using the information of the upper bound solution in the branch and bound algorithm. And superiority of the new branching rule will be shown by comparing with Bellmore-Malone's one and carpaneto-Toth's one that were already proposed.

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A Genetic Algorithm using A Modified Order Exchange Crossover for Rural Postman Problem with Time Windows (MOX 교차 연산자를 이용한 Rural Postman Problem with Time Windows 해법)

  • Kang koung-Ju
    • Journal of the Korea Society of Computer and Information
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    • v.10 no.5 s.37
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    • pp.179-186
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    • 2005
  • This paper describes a genetic algorithm and compares three crossover operators for Rural Postman Problem with Time Windows (RPPTW). The RPPTW which is a multiobjective optimization problem, is an extension of Rural Postman Problem(RPP) in which some service places (located at edge) require service time windows that consist of earliest time and latest time. Hence, RPM is a m띤tieect optimization Problem that has minimal routing cost being serviced within the given time at each service Place. To solve the RPPTW which is a multiobjective optimization problem, we obtain a Pareto-optimal set that the superiority of each objective can not be compared. This Paper performs experiments using three crossovers for 12 randomly generated test problems and compares the results. The crossovers using in this Paper are Partially Matched Exchange(PMX) Order Exchange(OX), and Modified Order Exchange(MOX) which is proposed in this paper. For each test problem, the results show the efficacy of MOX method for RPPTW.

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Design and Implementation of a Web System Providing Optimal Travel Routes (여행지 최적 경로를 제공하는 웹 시스템의 설계와 구현)

  • Yim, Jae-Geol;Lee, Kang-Jai
    • Journal of the Korea Society of Computer and Information
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    • v.12 no.5
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    • pp.19-27
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    • 2007
  • We have implemented a WWW homepage which finds an optimal route for users. There already exist many web sites which provide the optimal route when a start and a destination cities are given. However, none of them can find the optimal route when a number of cities to be visited. The problem of finding the optimal route starting at a given start city and visiting through all the given intermediate cities and finally returning to the start city is called Travelling Sales Person(TSP) problem. TSP is a well known exponential time complexity problem. We have implemented an artificial intelligent search algorithm for TSP on our homepage. The main feature of our algorithm is that the destination may not be the same as the start city whereas all of the existing heuristic algorithms for TSP assume that the start and the destination cities are the same. The web page asks a user to select all the cities he or she wants to visit(including start and destination city), then it finds a sequence of the cities such that the user would travel minimum distance if he or she visits the cities in the order of the sequence. This paper presents algorithms used in the homepage.

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Design of the optimal inputs for parameter estimation in linear dynamic systems (선형계통의 파라미터 추정을 위한 최적 입력의 설계)

  • 양흥석;이석원;정찬수
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.73-77
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    • 1986
  • Optimal input design problem for linear regression model with constrained output variance has been considered. It is shown that the optimal input signal for the linear regression model can also be realized as an ARMA process. Monte-Carlo simulation results show that the optimal stochastic input leads to comparatively better estimation accuracy than white input signal.

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