• Title/Summary/Keyword: Stochastic order

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Enhanced Backpropagation : Algorithm and Numeric Examples (개선된 역전파법 : 알고리즘과 수치예제)

  • Han Hong-Su;Choi Sang-Ung;Jeong Hyeon-Sik;No Jeong-Gu
    • Management & Information Systems Review
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    • v.2
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    • pp.75-93
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    • 1998
  • In this paper, we propose a new algorithm(N_BP) to be capable of overcoming limitations of the traditional backpropagation(O_BP). The N_BP is based on the method of conjugate gradients and calculates learning parameters through the line search which may be characterized by order statistics and golden section. Experimental results showed that the N_BP was definitely superior to the O_BP with and without a stochastic term in terms of accuracy and rate of convergence and might surmount the problem of local minima. Furthermore, they confirmed us that the stagnant phenomenon of learning in the O_BP resulted from the limitations of its algorithm in itself and that unessential approaches would never cured it of this phenomenon.

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Online Parameter Estimation and Convergence Property of Dynamic Bayesian Networks

  • Cho, Hyun-Cheol;Fadali, M. Sami;Lee, Kwon-Soon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.4
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    • pp.285-294
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    • 2007
  • In this paper, we investigate a novel online estimation algorithm for dynamic Bayesian network(DBN) parameters, given as conditional probabilities. We sequentially update the parameter adjustment rule based on observation data. We apply our algorithm to two well known representations of DBNs: to a first-order Markov Chain(MC) model and to a Hidden Markov Model(HMM). A sliding window allows efficient adaptive computation in real time. We also examine the stochastic convergence and stability of the learning algorithm.

Comparative Study on Structural Optimal Design Using Micro-Genetic Algorithm (마이크로 유전자 알고리즘을 적용한 구조 최적설계에 관한 비교 연구)

  • 한석영;최성만
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.3
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    • pp.82-88
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    • 2003
  • SGA(Single Genetic Algorithm) is a heuristic global optimization method based on the natural characteristics and uses many populations and stochastic rules. Therefore SGA needs many function evaluations and takes much time for convergence. In order to solve the demerits of SGA, ${\mu}GA$(Micro-Genetic Algorithm) has recently been developed. In this study, ${\mu}GA$ which have small populations and fast convergence rate, was applied to structural optimization with discrete or integer variables such as 3, 10 and 25 bar trusses. The optimized results of ${\mu}GA$ were compared with those of SGA. Solutions of ${\mu}GA$ for structural optimization were very similar or superior to those of SGA, and faster convergence rate was obtained. From the results of examples, it is found that ${\mu}GA$ is a suitable and very efficient optimization algorithm for structural design.

IRF Analysis Considering Clutter Background for SAR Image Qualification

  • Jung, Chul-H.;Oh, Tae-B.;Song, Sun-H.;Kwag, Young-K.
    • International Journal of Aeronautical and Space Sciences
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    • v.10 no.1
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    • pp.83-90
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    • 2009
  • A new IRF (Impulse Response Function) analysis technique in high resolution SAR image is presented by taking into account the real clutter environment. In order to investigate the realistic effect of clutter background on the impulse response function of SAR image, an ideally generated impulse response function is superimposed with a large number of background clutter data which are extracted from the various regions of an actual SAR image. As a performance measure, PSLR (Peak Sidelobe Ratio) of the clutter-contained IRF is presented in the various groups of clutter background, and finally the results are compared with the stochastic model.

ANALYSIS OF TWO COMMODITY MARKOVIAN INVENTORY SYSTEM WITH LEAD TIME

  • Anbazhagan, N.;Arivarignan, G.
    • Journal of applied mathematics & informatics
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    • v.8 no.2
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    • pp.519-530
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    • 2001
  • A two commodity continuous review inventory system with independent Poisson processes for the demands is considered in this paper. The maximum inventory level for the i-th commodity fixed as $S_i$(i = 1,2). The net inventory level at time t for the i-th commodity is denoted by $I_i(t),\;i\;=\;1,2$. If the total net inventory level $I(t)\;=\;I_1(t)+I_2(t)$ drops to a prefixed level s $[{\leq}\;\frac{({S_1}-2}{2}\;or\;\frac{({S_2}-2}{2}]$, an order will be placed for $(S_{i}-s)$ units of i-th commodity(i=1,2). The probability distribution for inventory level and mean reorders and shortage rates in the steady state are computed. Numerical illustrations of the results are also provided.

GENERATING SAMPLE PATHS AND THEIR CONVERGENCE OF THE GEOMETRIC FRACTIONAL BROWNIAN MOTION

  • Choe, Hi Jun;Chu, Jeong Ho;Kim, Jongeun
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1241-1261
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    • 2018
  • We derive discrete time model of the geometric fractional Brownian motion. It provides numerical pricing scheme of financial derivatives when the market is driven by geometric fractional Brownian motion. With the convergence analysis, we guarantee the convergence of Monte Carlo simulations. The strong convergence rate of our scheme has order H which is Hurst parameter. To obtain our model we need to convert Wick product term of stochastic differential equation into Wick free discrete equation through Malliavin calculus but ours does not include Malliavin derivative term. Finally, we include several numerical experiments for the option pricing.

A Study on Cost Risk Estimation applying Joint Cost-Schedule Probability Distribution Model (비용과 일정의 결합확률 분포를 적용한 위험비용추정에 관한 연구)

  • Kim, Dong-Kyu;Kang, Sung-Jin;Han, Gyu-Sik
    • Journal of the Korea Institute of Military Science and Technology
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    • v.14 no.5
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    • pp.850-858
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    • 2011
  • The risk analysis plays an important role in weapon system acquisition project due to uncertainties in the acquisition process. But in domestic, studies on risk analysis are insufficient and risk cost is not included in acquisition budget in policy. Therefore, in this study, we suggest a method that measures risk or success probability of project using the stochastic model. In particular, in order to calculate the success probability, we apply the joint probability distribution model of cost and schedule that are critical factors influencing the project risk. And also we verify the applicability of this model in Korean defence industry environment through case studies.

Design of the Simulation-Based Vehicle Distribution Planning System for Logistics (시뮬레이션을 이용한 물류 배송계획 시스템 개발에 관한 연구)

  • Yang, Byung-Hee;Lee, Young-Hae
    • IE interfaces
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    • v.7 no.2
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    • pp.87-97
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    • 1994
  • Many vehicle routing methods have been suggested, which minimize the routing distances of vehicles to reduce the total transportation cost. But the more considerations the method takes, the higher complexites are involved in a large number of practical situations. The purpose of this paper is to develop a vehicle distribution planning system using heuristic algorithms and simulation techniques for home electronics companies. The vehicle distribution planning system developed by this study involves such complicated and stochastic conditions as one depot, multiple nodes(demand points), multiple vehicle types, multiple order items, and other many restrictions for operating vehicles. The proposed system is compared with the nearest neighbor method of the current system in terms of total logistics cost and driving time. This heuristics algorithm and simulation based distribution planning system is efficient in computational complexity, and give improved solutions with respect to the cost as well as the time. This method constructs a route with a minimum number of vehicles for a given demand.

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A Study on the Decision of an Optimal Maintenance Period for Ship's Machinery Items using the Cumulative Hazard Rate Function for Weibull Distribution (Weibull형 고장분포를 갖는 선박용 부품의 최적 보전시기의 결정수법에 관한 연구)

  • 유희한
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.2
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    • pp.90-96
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    • 2000
  • The technology of preventive maintenance and corrective maintenance is widely applied to ships in order to maintain the good voyageable condition. One of the most important fields of marine engineering is to seek the maximum availability and to solve the stochastic maintenance problem such that the cost for corrective maintenance is minimized. Accordingly, for the purpose of making the most suitable maintenance schedule which minimizes the expected cost function, this paper suggests the method to grasp the failure characteristics by the ship's maintenance data that are collected from the past. And, suggests the method to estimate the optimal maintenance interval by using the dynamic programming and the cumulative hazard rate function attained from the maintenance data.

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Spatial Resolution Improvement Using Over Sampling and High Agile Maneuver in Remote Sensing Satellite

  • Kim, Hee-Seob;Kim, Gyu-Sun;Chung, Dae-Won;Kim, Eung-Hyun
    • International Journal of Aeronautical and Space Sciences
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    • v.8 no.2
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    • pp.37-43
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    • 2007
  • Coordination of multiple UAVs is an essential technology for various applications in robotics, automation, and artificial intelligence. In general, it includes 1) waypoints assignment and 2) trajectory generation. In this paper, we propose a new method for this problem. First, we modify the concept of the standard visibility graph to greatly improve the optimality of the generated trajectories and reduce the computational complexity. Second, we propose an efficient stochastic approach using simulated annealing that assigns waypoints to each UAV from the constructed visibility graph. Third, we describe a method to detect collision between two UAVs. FinallY, we suggest an efficient method of controlling the velocity of UAVs using A* algorithm in order to avoid inter-UAV collision. We present simulation results from various environments that verify the effectiveness of our approach.