• Title/Summary/Keyword: deterministic model

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A Stochastic Partial Backorder Inventory System with a linear Backorder Ratio (선형 부재고비율(線形 負在庫比率)을 갖는 확률적 부분부재고(確率的 部分負在庫)시스템에 관한 연구(硏究))

  • Lee, Kang-Woo
    • Journal of Korean Institute of Industrial Engineers
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    • v.20 no.3
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    • pp.105-116
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    • 1994
  • This paper presents an inventory model with partial backorders for the situation in which demand is deterministic, lead time follows normal distribution and back order ratio during the stockout period varies in proportion to the length of backorder period In this situations, an objective function is formulated to minimize a time-proportional backorder cast and a fixed penalty cost per unit lost. And then the procedure of iterative solution method for the model is developed to find optimal reorder paint and order quantity and a numerical example to illustrate the proposed method is presented.

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Current and Future Directions for Researches on Supply Chain Management (공급사슬경영의 연구 동향 및 향후 연구 과제)

  • Kim, Sook-Han;Lee, Young-Hae
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.10a
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    • pp.103-106
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    • 2000
  • As the industrial environment becomes more competitive, supply chain management (SCM) has become recognized as a major strategy in the business world. Some of current researches are categorized into review papers, deterministic models, stochastic models, simulation models and discussed in this paper. A hybrid approach combining analytic model and simulation model and the simulation optimization method are proposed as future research areas with other analytical subjects.

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Heuristic Task Allocation for Multiprocessor Controller Systems Considering Shared Resource Access

  • Seon, Ryou-Myung;Hyun, Kwon-Wook
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.140.3-140
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    • 2001
  • This paper analyzes a blocking that is due to shared resource in multiprocessor system. A proposed analysis for shared resource suggests a scalable and amendable scheduling method about task allocation. An equation of shared resource blocking is proposed by a throughput at common bus and a ratio of throughput during time period, it is included a parameter of tasks scheduling. Using this equation, a new guideline for task allocation of multiprocessor is presented. Finally, in proposed system a model simulations for the proposed blocking model is given by a deterministic ratio of shared resource.

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DYNAMICAL MODEL OF A SINGLE-SPECIES SYSTEM IN A POLLUTED ENVIRONMENT

  • Samanta, G.P.;Maiti, Alakes
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.231-242
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    • 2004
  • The effect of toxicants on ecological systems is an important issue from mathematical and experimental points of view. Here we have studied dynamical model of a single-species population-toxicant system. Two cases are studied: constant exogeneous input of toxicant and rapidly fluctuating random exogeneous input of toxicant into the environment. The dynamical behaviour of the system is analyzed by using deterministic linearized technique, Lyapunov method and stochastic linearization on the assumption that exogeneous input of toxicant into the environment behaves like ‘Coloured noise’.

A Study on the Solution of the Epidemic Model Using Elementary Series Expansions (초등급수 전개에 의한 유행병 모델의 해법에 관한 연구)

  • 정형환;주수원
    • Journal of Biomedical Engineering Research
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    • v.12 no.3
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    • pp.171-176
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    • 1991
  • A solution for the course of the general deterministic epidemic model is obtained by elementary series expansion. This is valid over all times, and appears to hold accurate]y over a very wide range of population and threshould parameter values. This algorithm can be more efficient than either numerical or recursive procedures in terms of the number of operations required to evaluate a sequence of points along the course of the epidemic.

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Leverage in Regression Models with MA(1) Errors (오차항이 MA(1) 과정을 따르는 회귀모형에서의 Leverage)

  • 이종협
    • Journal of Applied Reliability
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    • v.3 no.2
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    • pp.127-136
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    • 2003
  • This paper investigates the effect of individual observations in regression models with MA(1) errors through the 'hat matrix' It shows that the first observation has the largest hat matrix diagonal component for $\theta$<0 in the regression model with an intercept. This provides additional evidence for retaining the first observation in performing estimation in this setting. When the regression model goes to the origin and the independent variable has a deterministic trend, the last observation has the greatest leverage for │$\theta$│<1 and may have potentially large impact on parameter estimation.

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STOCHASTIC SIMULATION OF DAILY WEATHER VARIABLES

  • Lee, Ju-Young;Kelly brumbelow, Kelly-Brumbelow
    • Water Engineering Research
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    • v.4 no.3
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    • pp.111-126
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    • 2003
  • Meteorological data are often needed to evaluate the long-term effects of proposed hydrologic changes. The evaluation is frequently undertaken using deterministic mathematical models that require daily weather data as input including precipitation amount, maximum and minimum temperature, relative humidity, solar radiation and wind speed. Stochastic generation of the required weather data offers alternative to the use of observed weather records. The precipitation is modeled by a Markov Chain-exponential model. The other variables are generated by multivariate model with means and standard deviations of the variables conditioned on the wet or dry status of the day as determined by the precipitation model. Ultimately, the objective of this paper is to compare Richardson's model and the improved weather generation model in their ability to provide daily weather data for the crop model to study potential impacts of climate change on the irrigation needs and crop yield. However this paper does not refer to the improved weather generation model and the crop model. The new weather generation model improved will be introduced in the Journal of KWRA.

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Bayesian Image Restoration Using a Continuation Method (연속방법을 사용한 Bayesian 영상복원)

  • Lee, Soo-Jin
    • The Journal of Engineering Research
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    • v.3 no.1
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    • pp.65-73
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    • 1998
  • One approach to improved image restoration methods has been the incorporation of additional source information via Gibbs priors that assume a source that is piecewise smooth. A natural Gibbs prior for expressing such constraints is an energy function defined on binary valued line processes as well as source intensities. However, the estimation of both continuous variables and binary variables is known to be a difficult problem. In this work, we consider the application of the deterministic annealing method. Unlike other methods, the deterministic annealing method offers a principled and efficient means of handling the problems associated with mixed continuous and binary variable objectives. The application of the deterministic annealing method results in a sequence of objective functions (defined only on the continuous variables) whose sequence of solutions approaches that of the original mixed variable objective function. The sequence is indexed by a control parameter (the temperature). The energy functions at high temperatures are smooth approximations of the energy functions at lower temperatures. Consequently, it is easier to minimize the energy functions at high temperatures and then track the minimum through the variation of the temperature. This is the essence of a continuation method. We show experimental results, which demonstrate the efficacy of the continuation method applied to a Bayesian restoration model.

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On a Set Covering Model to Maximize Reliability (신뢰도를 최대화하는 지역담당 모델)

  • Oh, Jae-Sang;Kim, Sung-In
    • Journal of the military operations research society of Korea
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    • v.8 no.1
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    • pp.53-70
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    • 1982
  • This thesis develops a more realistic and applicable new set covering model that is adjusted and supplied by the existing set covering models, and induces an algorithm for solving the new set covering model, and applies the new model and the algorithm to an actual set covering problems. The new set covering model introduces a probabilistic covering aistance ($0{\eqslantless}p{\eqslantless}1$)or time($0{\eqslantless}p{\eqslantless}1$) instead of a deterministic covering distance(0 or 1) or time (0 or 1) of the existing set covering model. The existing set covering model has not considered the merit of the overcover of customers. But this new set covering model leads a concept of this overcover to a concept of the parallel system reliability. The algorithm has been programmed on the UNIVAC 9030 for solving large-scale covering problems. An application of the new set covering model is presented in order to determine the locations of the air surveillance radars as a set covering problem for a case-study.

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