• Title/Summary/Keyword: Continuous-Time Model

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A Study on Iventory Model with Partial Backorders considering both Continuous Inflation Rate and Continuous Discount Rate (인플레이션율과 손해할인율을 고려한 부분재재고모형에 관한 연구)

  • ;;Choi, Gyu-Tag;Lee, Kang Woo
    • Journal of the Korean Operations Research and Management Science Society
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    • v.17 no.2
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    • pp.15-23
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    • 1992
  • This paper dvelops an inventory model with partial backorders considering both inflation rate and discount rate under the situation of deterministic demand and lead time and then make an economic analysis. Especially, the inventory model with partial backorders provided here is the inventory model minimizing annual total cash outflows, which is extended by the addition of inflation rate and discount rate into "Inventory Model with Partial Bakorders" of Park [6]. An iterative solution procedure is developed to find an optimal inventory policy. To provide guidelines for economic analysis of inventory model with partial backorders, sensitivity analysis for selected values of parameters is performed.performed.

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Approximate Decision Rules for Multi-Item Continuous Review Inventory Model (다품종(多品種) 연속점검(連續點檢) 재고관리(在庫管理)모델의 최적해법(最適解法))

  • Gang, Dong-Jin;Lee, Sang-Yong
    • Journal of Korean Society for Quality Management
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    • v.13 no.1
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    • pp.56-64
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    • 1985
  • This paper presents a general algorithm of multi-item continuous review models to obtain simultaneous solutions for ordering quantities and reorder points for each item in an inventory, while satisfying constraints on average inventory investment and reordering workload. Two models are formulated'in each model the heuristic method is utilized, and the partial back-logging is considered. In the first model, the objective function is the minimization of total inventory variable cost. In the second model, the objective function is the minimization of total time-weighted shortages, and the ordering, holding, and stockout costs in this model are independent each other. A numerical example is also solved to present application of each model.

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Mathematical Models on Diffusive Loss of Non-Aqueous Phase Organic Solvents from a Disk Source (디스크소스로부터 NAPL의 확산손실에 관한 수학적 모델)

  • Yoon, In-Taek;S.E., Dickson
    • Journal of Soil and Groundwater Environment
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    • v.13 no.6
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    • pp.40-49
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    • 2008
  • Matrix diffusion from planar fractures was studied mathematically and through physical model experiments. Mathematical models were developed to simulate diffusion from 2D and 3D instantaneous disk sources and a 3D continuous disk source. The models were based on analytical solutions previously developed by Carslaw and Jaeger (1959). The mathematical simulations indicated that the 2D scenario produces significantly different results from the 3D scenario, the time for mass disappearance is significantly larger for continuous sources than for instantaneous sources, the normalized concentration generally decreased over time for instantaneous sources while it increased over time for continuous sources, diffusion rates decrease significantly over time and space, and the normalized mass loss from the source zone never reaches 1 for continuous sources due to the semi-infinite integral. The simulations also showed that disappearance times increase exponentially with increasing source radii and matrix porosity, and decrease with increasing aqueous-phase NAPL solubilities.

Model simplification using the energy dispersion method (에너지 분산 방법을 이용한 모델 간소화)

  • 권기호;최계근
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.65-67
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    • 1986
  • The model simplification method of the linear time invariant continuous system is proposed. Using the energy dispersion method the dynamic modes with dominent energy contribution are selected, and the poles of the denomenater are retained. And there is investigated how the dynamic modes affected the system characteristic. The parameters of the numerator are determined by time moment matching method. This method is that the algorithm is simple and also the simplified model found is always stable if the original system is stable, and through examples we assured that this method leads to good results in both transient and steady state responses.

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Properties of a Generalized Impulse Response Gramian with Application to Model Reduction

  • Choo, Younseok;Choi, Jaeho
    • International Journal of Control, Automation, and Systems
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    • v.2 no.4
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    • pp.516-522
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    • 2004
  • In this paper we investigate the properties of a generalized impulse response Gramian. The recursive relationship satisfied by the family of Gramians is established. It is shown that the generalized impulse response Gramian contains information on the characteristic polynomial of a linear time-invariant continuous system. The results are applied to model reduction problem.

A Study on Mixed Methods for Reduction of Large Scale System (고차 시스템의 간소화를 위한 혼합 방법들에 대한 연구)

  • Kwon, Ki Ho;Choi, Keh Kun
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.3
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    • pp.420-424
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    • 1987
  • The model reduction methods of the linear time invariant continuous systems are proposed. The energy dispersion method is used to obtain the model denominator. And the model numerator is found by the modified residue method or the time moment matching method. The methods suggested are compared with the method suggested by Lucas and give good results.

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Depth-Based Recognition System for Continuous Human Action Using Motion History Image and Histogram of Oriented Gradient with Spotter Model (모션 히스토리 영상 및 기울기 방향성 히스토그램과 적출 모델을 사용한 깊이 정보 기반의 연속적인 사람 행동 인식 시스템)

  • Eum, Hyukmin;Lee, Heejin;Yoon, Changyong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.26 no.6
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    • pp.471-476
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    • 2016
  • In this paper, recognition system for continuous human action is explained by using motion history image and histogram of oriented gradient with spotter model based on depth information, and the spotter model which performs action spotting is proposed to improve recognition performance in the recognition system. The steps of this system are composed of pre-processing, human action and spotter modeling and continuous human action recognition. In pre-processing process, Depth-MHI-HOG is used to extract space-time template-based features after image segmentation, and human action and spotter modeling generates sequence by using the extracted feature. Human action models which are appropriate for each of defined action and a proposed spotter model are created by using these generated sequences and the hidden markov model. Continuous human action recognition performs action spotting to segment meaningful action and meaningless action by the spotter model in continuous action sequence, and continuously recognizes human action comparing probability values of model for meaningful action sequence. Experimental results demonstrate that the proposed model efficiently improves recognition performance in continuous action recognition system.

Hydrologic Cycle Simulation of Urban River for Rehabilitation of Water Environment (II) - Dorimcheon Basin - (물 환경 건전화를 위한 도시하천의 물 순환 모의 (II) - 도림천 유역 -)

  • Lee, Sang-Ho;Lee, Jung-Min
    • Journal of Korean Society on Water Environment
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    • v.22 no.5
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    • pp.815-823
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    • 2006
  • The hydrologic cycle in urban catchment has been changed due to the expansion of impervious area by rapid urban development. In this study, the SWMM 5 (Storm Water Management Model 5) model was used to simulate the hydrologic cycle of the Dorimcheon catchment which suffers from the distorted hydrologic cycle as a typical urban catchment. This study compare continuous simulation of urban runoff combining the channel and sewer system with that of channel only in the Dorimcheon catchment. Continuous simulations of urban runoff were performed for the upstream basin of Dorim bridge. The urban impervious regions were processed by the land use analysis from LANDSAT_TM images. It was performed from 1975 to 2000 for every five years. Surface, groundwater and wastewater runoffs were additionally included in the simulations one at a time. Such simulations made it possible to evaluate those components quantitatively. The result of continuous simulation of urban runoff combining the channel and sewer system is that peak flow and recession are well simulated. The analysis results of urbanization effect on runoff are as follows: the surface runoff in 2000 increases to 64% of the whole precipitation whereas the surface runoff in 1975 amounts to 46% of the precipitation; the groundwater runoff in 2000 amounts to 6% and shows 8% decrease during the period from 1975 to 2000.

Hybrid System Modeling and Control for Path Planning and Autonomous Navigation of Wheeled Mobile Robots (차륜형 이동로봇의 경로 계획과 자율 주행을 위한 하이브리드 시스템 모델과 제어)

  • Im, Mi-Seop;Im, Jun-Hong
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.1
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    • pp.33-40
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    • 2000
  • In this paper, an integrated method for the path planning and motion control of wheeled mobile robots using a hybrid system model and control is presented. The hybrid model including the continuous dynamics and discrete dynamics with the continuous and discrete state vector is derived for a two wheel driven mobile robot. The architecture of the hybrid control system for real time path planning and following is designed which has the 3-layered hierarchical structure : the discrete event system using the digital automata as the higher process, the continuous state system for the wheel velocity controls as the lower process, and the interface system as the interaction process between the continuous system as the low level and the discrete event system as the high level. The reference motion commands for autonomous navigation are generated by the abstracted motion in the discrete event system. The motion control tasks including the feasible path planning and autonomous motion control with various initial conditions are investigated as the applications by the simulation studies.

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Digital Modeling of a Time delayed Continuous-Time System (시간 지연 연속 시간 시스템의 디지털 모델링)

  • Park, Jong-Jin;Choi, Gyoo-Seok;Park, In-Ku;Kang, Jeong-Jin
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.12 no.1
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    • pp.211-216
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    • 2012
  • Control Theory for continuous-time system has been well developed. Due to the development of computer technology, digital control scheme are employed in many areas. When delays are in control systems, it is hard to control the system efficiently. Delays by controller-to-actuator and sensor-to-controller deteriorate control performance and could possibly destabilize the overall system. In this paper, a new approximated discretization method and digital design for control systems with multiple state, input and output delays and a generalized bilinear transformation method with a tunable parameter are also provided, which can re-transform the integer time-delayed discrete-time model to its continuous-time model. Illustrative example is given to demonstrate the effectiveness of the developed method.