• Title/Summary/Keyword: piecewise algorithm

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Regression analysis of doubly censored failure time data with frailty time data with frailty

  • Kim Yang-Jin
    • Proceedings of the Korean Statistical Society Conference
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    • 2004.11a
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    • pp.243-248
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    • 2004
  • The timings of two successive events of interest may not be measurable, instead it may be right censored or interval censored; this data structure is called doubly censored data. In the study of HIV, two such events are the infection with HIV and the onset of AIDS. These data have been analyzed by authors under the assumption that infection time and induction time are independent. This paper investigates the regression problem when two events arc modeled to allow the presence of a possible relation between two events as well as a subject-specific effect. We derive the estimation procedure based on Goetghebeur and Ryan's (2000) piecewise exponential model and Gauss-Hermite integration is applied in the EM algorithm. Simulation studies are performed to investigate the small-sample properties and the method is applied to a set of doubly censored data from an AIDS cohort study.

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A SECOND ORDER UPWIND METHOD FOR LINEAR HYPERBOLIC SYSTEMS

  • Sohn, Sung-Ik;Shin, Jun-Yong
    • Communications of the Korean Mathematical Society
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    • v.17 no.1
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    • pp.103-120
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    • 2002
  • A second order upwind method for linear hyperbolic systems is studied in this paper. The method approximates solutions as piecewise linear functions, and state variables and slopes of the linear functions for next time step are computed separately. We present a new method for the computation of slopes, derived from an upwinding difference for a derivative. For nonoscillatory solutions, a monotonicity algorithm is also proposed by modifying an existing algorithm. To validate our second order upwind method, numerical results for linear advection equations and linear systems for elastic and acoustic waves are given.

The System of Non-Linear Detector over Wireless Communication (무선통신에서의 Non-Linear Detector System 설계)

  • 공형윤
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.106-109
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    • 1998
  • Wireless communication systems, in particular, must operate in a crowded electro-magnetic environmnet where in-band undesired signals are treated as noise by the receiver. These interfering signals are often random but not Gaussian Due to nongaussian noise, the distribution of the observables cannot be specified by a finite set of parameters; instead r-dimensioal sample space (pure noise samples) is equiprobably partitioned into a finite number of disjointed regions using quantiles and a vector quantizer based on training samples. If we assume that the detected symbols are correct, then we can observe the pure noise samples during the training and transmitting mode. The algorithm proposed is based on a piecewise approximation to a regression function based on quantities and conditional partition moments which are estimated by a RMSA (Robbins-Monro Stochastic Approximation) algorithm. In this paper, we develop a diversity combiner with modified detector, called Non-Linear Detector, and the receiver has a differential phase detector in each diversity branch and at the combiner each detector output is proportional to the second power of the envelope of branches. Monte-Carlo simulations were used as means of generating the system performance.

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Contact analysis of any Shaped Rigid Bodies (평면에서의 임의 형상을 갖는 물체의 접촉 해석)

  • Jun, Kyoung-Jin;Sohn, Jeong-Hyun;Yoo, Wan-Suk
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.573-578
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    • 2001
  • This paper presents a method for calculating contact force of any shaped rigid bodies on plane. At each integration time step, the proposed method finds expected contact point on their outlines and then calculates penetration and contact force. This paper is using the continuous analysis method to calculate contact force. To get the accurate expected contact point on their outlines, a new algorithm is developed. Through the comparison with DADS, the accuracy of the proposed algorithm is proved.

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A Study on Cost Evaluation for Capacitive Reactive Power (무효전력 비용 산정에 관한 연구)

  • 정춘식;박정도;문영현
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.53 no.3
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    • pp.182-186
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    • 2004
  • In this paper, the cost for capacitive reactive flower is evaluated considering the deregulation environment. For the cost assessment of reactive power, the duration curve of reactive power demand is introduced and investigated. Also, a guideline is suggested to estimate the Q-cost by using the inverse of the Q-demand duration curve. In order to obtain optimal real reactive power allocation, a new algorithm is proposed by using the piecewise linearization of the inverse of the Q-demand duration curve and the Linear Programming technique. The proposed method is tested with sample systems using MATLAB. The test results show that the algorithm yields reasonable reactive power allocation and Provides fair cost evaluation for reactive power.

A mathematical planning model for vertical integration (수직통합 의사결정을 위한 계량분석모형)

  • 문상원
    • Korean Management Science Review
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    • v.10 no.1
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    • pp.193-205
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    • 1993
  • This paper presents a mathematical model for a class of vertical integration decisions. The problem structure of interest consists of raw material vendors, components suppliers, components processing plants, final product (assembly) plants and external components buyers. Economic feasibility of operating components plants instead of keeping outside suppliers is our major concern. The model also determines assignment of product lines and production volumes to each open plant considering the cost impacts of economies of scale and plant complexity. The problem formulation leads to a concave, mixed integer mathematical program. Given the state of the art of nonlinear programming techniques, it is often not possible to find global optima for reasonably sized such problems. We developed an optimization solution algorithm within the framework of Benders decomposition for the case of a piecewise linear concave cost function. It is shown that our algorithm generates optimal solutions efficiently.

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Fuzzy Moving Sliding Model Control for Robotic Manipulators (로봇 매니퓰레이터를 위한 퍼지 이동슬라이딩 모드 제어)

  • Chun, Kyung-Han;Park, Bong-Yeol
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.7
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    • pp.597-604
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    • 2001
  • Recently, the study of the moving sliding mode in the variable structure control is in progress ac-tively. The conventional time-invariant sliding model control can\`t guarantee the sliding mode in the reaching phase, which is robust against the uncertainty. But with the time-varying method, the controller makes the states track the desired trajectories and keeps the sliding mode. Nevertheless, the piecewise continuous method of the past still has the reaching mode. Thus we propose the continuously moving sliding surface by the fuzzy algorithm. The proposed algorithm is made of the fuzzy rule considering both the error and the error velocity, and may apply to the entire phase plane without sacrificing sliding mode. Especially the proposed scheme can rotate tot he slope-decreasing direction, needless to say rotating to the slope-increasing direction. For showing that the proposed controller guarantees the sliding model and ensures the robustness, we apply the proposed method to the two-link robot manipulator simulation.

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Near-Minimum-Time Cornering Trajectory Planning and Control for Differential Wheeled Mobile Robots with Motor Actuation Voltage Constraint (차륜 이동 로봇의 모터 구동 전압 제한 조건을 고려한 코너링(cornering) 모션의 최소 시간 궤적 계획 및 제어)

  • Byeon, Yong-Jin;Kim, Byung-Kook
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.9
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    • pp.845-853
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    • 2012
  • We propose time-optimal cornering motion trajectory planning and control algorithms for differential wheeled mobile robot with motor actuating voltage constraint, under piecewise constant control input condition. For time-optimal cornering trajectory generation, 1) we considered mobile robot's dynamics including actuator motors, 2) divided the cornering trajectory into one liner section, followed by two cornering section with angular acceleration and deceleration, and finally one liner section, and 3) formulated an efficient trajectory generation algorithm satisfying the bang-bang control principle. Also we proposed an efficient trajectory control algorithm and implemented with an X-bot to prove the performance.

A GA-Based IMM Method for Tracking a Maneuvering Target (기동표적 추적을 위한 유전 알고리즘 기반 상호작용 다중모델 기법)

  • Lee Bum-Jik;Joo Young-Hoon;Park Jin-Bae
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.1
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    • pp.16-21
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    • 2003
  • The accuracy in maneuvering target tracking using multiple models is resulted in by the suitability of each target motion model to be used. The interacting multiple model (IMM) method and the adaptive IMM (AIMM) method require the predefined sub-models and the predetermined acceleration intervals, respectively, in consideration of the properties of maneuvers in order to construct multiple models. In this paper, to solve these problems, a genetic algorithm(GA) based-IMM method using fuzzy logic is proposed. In the proposed method, the acceleration input is regarded as an additive noise and a sub-model is represented as a set of fuzzy rules to calculate the time-varying variances of the process noises of a new piecewise constant white acceleration model. The proposed method is compared with the AIMM algorithm in simulation.

Near Minimum-Time Trajectory Planning for Wheeled Mobile Robots with Piecewise Constant Voltages

  • Park, Jong-Suk;Kim, Munsang;Kim, Byung-Kook
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.30.6-30
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    • 2001
  • We build near minimum-time trajectory planning algorithm for Wheeled mobile robots (WMRs) With Piece-Wise Constant control voltages satisfying i) initial and final postures and velocities as well as ii) voltage constraints We consider trajectory planning problem for cornering motion with a path-deviation requirement for obstacle avoidance. We divide our trajectory planning algorithm for cornering motion into five ordered sections: translational, transient, rotational, transient, and translational sections. Transforming dynamics into uncorrelated form with respect to translational and rotational velocities, we can make controls for translation/rotational velocities to be independent. By planning each section with constant voltages, and integrating five sections with adjustment of numbers of steps, the overall trajectory is planned. The performance is very close to the minimum-time solution, which is validated via simulation studies.

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