• Title/Summary/Keyword: order

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A Coupled Higher-Order Nonlinear $Schr{\ddot{o}}dinger$ Equation Including Higher-Order Bright and Dark Solitons

  • Kim, Jong-Bae
    • ETRI Journal
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    • v.23 no.1
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    • pp.9-15
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    • 2001
  • We suggest a generalized Lax pair on a Hermitian symmetric space to generate a new coupled higher-order nonlinear $Schr{\ddot{o}}dinger$ equation of a dual type which contains both bright and dark soliton equations depending on parameters in the Lax pair. Through the generalized ways of reduction and the scaling transformation for the coupled higher-order nonlinear $Schr{\ddot{o}}dinger$ equation, two integrable types of higher-order dark soliton equations and their extensions to vector equations are newly derived in addition to the corresponding equations of the known higher-order bright solitons. Analytical discussion on a general scalar solution of the higher-order dark soliton equation is then made in detail.

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A Study on the Effect of First-order Hold Method on the Stability Boundary of a Virtual Mass-spring Model (일차-홀드 방법이 가상 질량-스프링 모델의 안정성 영역에 미치는 영향에 대한 연구)

  • Lee, Kyungno
    • Journal of Institute of Convergence Technology
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    • v.10 no.1
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    • pp.41-45
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    • 2020
  • This paper presents the effects of a virtual mass on the stability boundary of a virtual spring in the haptic system with first-order-hold. The virtual rigid body is modeled as a virtual spring and a virtual mass. When first-order-hold is applied, we analyze the stability boundary of the virtual spring through the simulation according to the virtual mass and the sampling time. As the virtual mass increases, the stability boundary of the virtual spring gradually increases and then decreases after reaching the maximum value. The results are compared with the stability boundary in the haptic system with zero-order-hold. When a virtual mass is small, the stability boundary of a virtual spring in the system with first-order-hold is larger than that in the system with zero-order-hold.

A Quantitative Ultrasound Tomography Algorithm Via the Second Order Approximation of the Model Equation (모델식의 2차 근사에 의한 정량적인 초음파 단층 촬영 알고리즘)

  • 김환우;김영길
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.11
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    • pp.16-21
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    • 1992
  • The validity of the application of the second-order Born equation to the ultrasound tomography algorithm is studied by comparing the scattered fields computed using the first-order Born equation, the first-order Rytove equation, and the second-order Born equation. The second-order Born equation turns out to provide more desirable results than the other two equations for a certain group of test objects. Phantom images with resolutions upto 1 pixel$\times$1 pixel are satisfactorily reconstructed using the second-order Born equation. It is shown that when the view angle is limited, good resonstruction results are also obtained using multi-frequency incident fields.

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ITERATED ENTIRE FUNCTIONS AND THEIR GROWTH PROPERTIES ON THE BASIS OF (p, q)-TH ORDER

  • Biswas, Tanmay;Choi, Junesang;Das, Pranab;Datta, Sanjib Kumar
    • Honam Mathematical Journal
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    • v.38 no.1
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    • pp.169-212
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    • 2016
  • Entire functions have been investigated so popularly to have been divided into a large number of specialized subjects. Even the limited subject of entire functions is too vast to be dealt with in a single volume with any approach to completeness. Here, in this paper, we choose to investigate certain interesting results associated with the comparative growth properties of iterated entire functions using (p, q)-th order and (p, q)-th lower order, in a rather comprehensive and systematic manner.

Fractional Order Modeling and Control of Twin Rotor Aero Dynamical System using Nelder Mead Optimization

  • Ijaz, Salman;Hamayun, Mirza Tariq;Yan, Lin;Mumtaz, Muhammad Faisal
    • Journal of Electrical Engineering and Technology
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    • v.11 no.6
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    • pp.1863-1871
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    • 2016
  • This paper presents an application of fractional order controller for the control of multi input multi output twin rotor aerodynamic system. Dynamics of the considered system are highly nonlinear and there exists a significant cross-coupling between the horizontal and vertical axes (pitch & yaw). In this paper, a fractional order model of twin rotor aerodynamic system is identified using input output data from nonlinear system. Based upon identified fractional order model, a fractional order PID controller is designed to control the angular position of level bar of twin rotor aerodynamic system. The parameters of controller are tuned using Nelder-Mead optimization and compared with particle swarm optimization techniques. Simulation results on the nonlinear model show a significant improvement in the performance of fractional order PID controller as compared to a classical PID controller.

Quick Order Acceptance Evaluation System with due dates in mold manufacturing factory (금형공장에서의 납기에 의한 신속 수주 평가시스템)

  • Lee, Moo-Seong;Rho, Hyung-Min;Lee, Soon-Yo
    • Journal of Korean Institute of Industrial Engineers
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    • v.20 no.4
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    • pp.181-192
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    • 1994
  • In an order-oriented production system such as mold manufacturing, the production starts with an order acceptance, and the production planning is set up according to the accepted order information. Such a work can be done through a dynamic process management system which can reflect shop floor situation dynamically. In this paper, so called the Quick order acceptance evaluation system that can investigate order confirmation quickly, is discussed. When an order is asked, this system must consider the time constraint to determine whether to accept or not, and must be reliable when the determined results are used in the shop floor. For this system, firstly, we simplified the machines by grouping based on their operation capabilities, secondly, we conducted load analysis to calculate available capacities during given periods using heuristic method instead of mathematical algorithm, thirdly, expert can input his experienced knowledge into the system interactively when simulation results don't meet the required due dates. As a case study, we applied this system to an injection mold manufacturing factory.

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The Nonlinear Analysis and Modeling of the ER Fluid Damper Using Higher Order Spectrum (고차 주파수 스펙트럼을 이용한 ER 유체 댐퍼의 비선형 특성 해석 및 모델링 연구)

  • Kim, Dong-Hyun;Joung, Tae-Whee;Joh, Joongseon
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.1 s.178
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    • pp.105-112
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    • 2006
  • The nonlinear damping force model is made to identify the properties of the ER (electro-rheological) fluid suspension damper. The instrumentation is carried out to measure the damping force of the ER damper. The higher order spectral analysis method is used to investigate the nonlinear frequency coupling phenomena with the damping force signal according to the sinusoidal excitation of the damper. The distinctive higher order nonlinear characteristics are observed. The nonlinear damping force model, which has the higher order velocity terms, is proposed with the result of higher order spectrum analysis. The higher order terms coefficients, which vary according to the strength of the electric field, are calculated using the least square method.

An Approximate Order Risk Evaluation Method for the General Multi- Echelon Distribution Supply Chain (다계층 분배형 공급사슬에서 주문리스크의 근사적 계산방법과 비용개선효과)

  • Seo, Yong-Won
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.636-647
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    • 2004
  • The objective of this paper is to provide an improved reorder decision policy for general multi-echelon distribution systems utilizing the shared stock information. It has been known that traditional reorder policies sometimes show poor performance in distribution systems. Thus, in our previous research we introduced the order risk policy which utilizes the shared stock information more accurately for the 2-echelon distribution system and proved the optimality. However, since the real world supply chain is generally composed with more than 2 echelons, we extend the order risk policy for the general multi-echelon systems. Since the calculation of the exact order risk value for general multi-echelon systems is very complex, we provide two approximation methods for the real-time calculation. Through the computational experiment comparing the order risk policy with the existing policies under various conditions, we show the performance of the order risk policy and analyze the value of the shared stock information varying with the characteristics of the supply chain.

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Transporter Operation Planning for Refrigerated Warehouse Using Simulation Method (냉장물류센터 내 운반장비 운영계획에 관한 연구)

  • Hwang, Heung-Suk;Kim, Ho-Gyun;Cho, Gyu-Sung
    • IE interfaces
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    • v.15 no.4
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    • pp.382-390
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    • 2002
  • This paper deals with planning of order-picking warehouse considering the batch order picking for transportation equipments to pick consumers' orders at a time among order-picking methods and a systematic approach method in order to analyze the order-picking warehouse which can perform optimal operation. To estimate an operating time of transportation equipments to carry out order-picking, this paper suggests three operations : first, to design the refrigerated warehouse using warehouse design parameters, second, to calculate the travel time of transporters considering four types of times with the probabilistic picking frequency, and third, to analyze an order-picking warehouse to construct a simulation model with the AutoMod as a simulation tool. We apply this model to a refrigerated warehouse company in Busan.

A Study on the B-to-B Order Processing System in Supply Chain Management Environment (SCM 환경에서 기업 간 수주처리시스템에 대한 연구)

  • Seo, Jun-Yong;Koh, Jae-Moon;Park, Hee-Cheon
    • IE interfaces
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    • v.13 no.3
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    • pp.416-423
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    • 2000
  • This paper considers a web-based order processing system under SCM environment. Following the framework of B2B electronic commerce, we focus on activities closely related to order handling within the supply chain. We also try to integrate the order processing system with the overall information system of the company. The methodology is applied to the case of H company and a prototype system is designed. This study analyzes the current product estimate and order handling process in the point of view of both the purchasing and the selling companies. It intends improvement by changing the existing closed way of request and offering estimate through fax or VAN into an open way using internet. For this, a company should be registered on the order site of internet. Then it can request estimate, take estimate, and handle order through internet adopting the concept of electrical commercial transaction.

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