• Title/Summary/Keyword: generating function method

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An Application of Optimization method for Efficient Operation of Micro Grid (마이크로그리드의 효율적 운영을 위한 최적화기법의 응용)

  • Kim, Kyu-Ho
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.26 no.12
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    • pp.50-55
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    • 2012
  • This paper presents an application of optimization method for efficient operation in micro grid. For operational efficiency, the objective function in a diesel generator consists of the fuel cost function similar to the cost functions used for the conventional fossil-fuel generating plants. The wind turbine generator is modeled by the characteristics of variable output. The cost function of fuel cell plant considers the efficiency of fuel cell. Particle swarm optimization(PSO) and sequential quadratic programming(SQP) are used for solving the problem of microgrid system operation. Also, from the results this paper presents the way to attend power markets which can buy and sell power from upper lever grids by connecting a various generation resources to micro grid.

A Local Limit Theorem for Large Deviations

  • So, Beong-Soo;Jeon, Jong-Woo
    • Journal of the Korean Statistical Society
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    • v.11 no.2
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    • pp.88-93
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    • 1982
  • A local limit theorem for large deviations for the i.i.d. random variables was given by Richter (1957), who used the saddle point method of complex variables to prove it. In this paper we give an alternative form of local limit theorem for large deviations for the i.i.d. random variables which is essentially equivalent to that of Richter. We prove the theorem by more direct and heuristic method under a rather simple condition on the moment generating function (m.g.f.). The theorem is proved without assuming that $E(X_i)=0$.

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THE M/G/1 FEEDBACK RETRIAL QUEUE WITH BERNOULLI SCHEDULE

  • Lee, Yong-Wan;Jang, Young-Ho
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.259-266
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    • 2009
  • We consider an M/G/1 feedback retrial queue with Bernoulli schedule in which after being served each customer either joins the retrial group again or departs the system permanently. Using the supplementary variable method, we obtain the joint generating function of the numbers of customers in two groups.

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THE M/G/1 FEEDBACK RETRIAL QUEUE WITH TWO TYPES OF CUSTOMERS

  • Lee, Yong-Wan
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.4
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    • pp.875-887
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    • 2005
  • In M/G/1 retrial queueing system with two types of customers and feedback, we derived the joint generating function of the number of customers in two groups by using the supplementary variable method. It is shown that our results are consistent with those already known in the literature when ${\delta}_k\;=\;0(k\;=\;1,\;2),\;{\lambda}_1\;=\;0\;or\;{\lambda}_2\;=\;0$.

A RECURRENCE RELATION FOR THE JONES POLYNOMIAL

  • Berceanu, Barbu;Nizami, Abdul Rauf
    • Journal of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.443-462
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    • 2014
  • Using a simple recurrence relation, we give a new method to compute the Jones polynomials of closed braids: we find a general expansion formula and a rational generating function for the Jones polynomials. The method is used to estimate the degree of the Jones polynomials for some families of braids and to obtain general qualitative results.

THE M/G/1 QUEUE WITH MARKOV MODULATED FEEDBACK

  • Han, Dong-Hwan;Park, Chul-Geun
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.827-837
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    • 1998
  • We consider the M/G/1 queue with instantaneous feed-back. The probabilities of feedback are determined by the state of the underlaying Markov chain. by using the supplementary variable method we derive the generating function of the number of customers in the system. In the analysis it is required to calculate the matrix equations. To solve the matrix equations we use the notion of Ex-tended Laplace Transform.

On Estimating the Parameters of an Extended Form of Logarithmic Series Distribution

  • Kumar, C. Satheesh;Riyaza, A.
    • Communications for Statistical Applications and Methods
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    • v.20 no.5
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    • pp.417-425
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    • 2013
  • We consider an extended version of a logarithmic series distribution and discuss the estimation of its parameters by the method of moments and the method of maximum likelihood. Test procedures are suggested to test the significance of the additional parameter of this distribution and all procedures are illustrated with the help of real life data sets. In addition, a simulation study is conducted to assess the performance of the estimators.

Design of Distributed Computer Systems Using Tabu Search Method (Tabu 탐색 기법을 이용한 분산 컴퓨팅 시스템 설계)

  • Hong, Jin-Won;Kim, Jae-Yearn
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.18 no.36
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    • pp.143-152
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    • 1995
  • This paper determines the allocation of computers and data files to minimize the sum of processing and communication costs which occur in processing jobs at each node. The problem of optimally configuring a distributed computer system belongs to the class of NP-Complete problems and the object function of this paper is nonlinear function and is hard to solve. This paper seeks the solution of distributed processing system by Tabu Search. Firstly, it presents the method of generating the starting solution proper to the distributed processing system. Secondly, it develops the method of searching neighborhood solutions. Finally, it determines the Tabu restriction appropriate to the distributed processing system. According to the experimental results, this algorithm solves a sized problems in reasonable time and is effective in the convergence of the solution. The algorithm developed in this paper is also applicable to the general allocation problems of the distributed processing system.

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A Daily Scheduling of Generator Maintenance using Fuzzy Set Theory combined with Genetic Algorithm (퍼지 집합이론과 유전알고리즘을 이용한 일간 발전기 보수유지계획의 수립)

  • Oh, Tae-Gon;Choi, Jae-Seok;Baek, Ung-Ki
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.7
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    • pp.1314-1323
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    • 2011
  • The maintenance of generating units is implicitly related with power system reliability and has a tremendous bearing on the operation of the power system. A technique using a fuzzy search method which is based on fuzzy multi-criteria function has been proposed for GMS (generator maintenance scheduling) in order to consider multi-objective function. In this study, a new technique using combined fuzzy set theory and genetic algorithm(GA) is proposed for generator maintenance scheduling. The genetic algorithm(GA) is expected to make up for that fuzzy search method might search the local solution. The effectiveness of the proposed approach is demonstrated by the simulation results on a practical size test systems.

A New Gate Pulse Generating Method of 12-Pulse Phase Controlled Rectifier for HVDC (HVDC용 12-펄스 위상제어정류기의 새로운 게이트 펄스 발생 기법)

  • Ahn, Jong-Bo;Kim, Kook-Hun;Lee, Jong-Moo;Lee, Ki-Do
    • Proceedings of the KIEE Conference
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    • 2000.11a
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    • pp.139-141
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    • 2000
  • High voltage direct current(HVDC) transmission system uses the phase controlled rectifier triggered by means of IPC(individual phase control) or EPC(equidistant pulse control). Most HVDC system has adopted EPC method that can solve the harmonic instability problem of IPC method in weak power system. But EPC has inherent indirect synchronizing problem requiring the closed loop control. This paper presents the new gate pulse generating method for 12-pulse HVDC converter, which combines IPC with EPC. Simulation and test results are presented. The basic concept is that it generates the gating pulse for 12-pulse converter by synthesizing the internal phase reference using the frequency and phase information of a sin91e phase voltage. To ensure the reliability of the external phase input, Potential transformer that detects the phase voltage has redundancy. Using fault detecting algorithm the healthy input is always guaranteed. And the frequency compensation function was reinforced.

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