• Title/Summary/Keyword: fixed point problem

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A Study on the (Q, r) Inventory Model under the Lead Time Uncertainty and its Application to the Multi-level Distribution System (주문 인도기간이 불확실한 상황에서의 (Q, r) 재고 부형과 다단계 분배 시스템의 응용에 관한 연구)

  • 강석호;박광태
    • Journal of the Korean Operations Research and Management Science Society
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    • v.11 no.1
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    • pp.44-50
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    • 1986
  • In this paper, we find optimal policy for the (Q, r) inventory model under the lead time uncertainty. The (Q, r) inventory model is such that the fixed order quantity Q is placed whenever the level of on hand stock reaches the reorder point r. We first develop the single level inventory model as the basis for the analysis multi-level distribution systems. The functional problem is to determine when and how much to order in order to minimize the expected total cost per unit time, which includes the set up, inventory holding and inventory shortage cost. The model, then, is extended to the multi-level distribution system consisting of the factory, warehouses and retailers. In this case, we also find an optimal policy which minimizes the total cost of the contralized multi-level distribution system.

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Existence and Non-Existence of Positive Solutions of BVPs for Singular ODEs on Whole Lines

  • LIU, YUJI;YANG, PINGHUA
    • Kyungpook Mathematical Journal
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    • v.55 no.4
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    • pp.997-1030
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    • 2015
  • This paper is concerned with integral type boundary value problems of second order singular differential equations with quasi-Laplacian on whole lines. Sufficient conditions to guarantee the existence and non-existence of positive solutions are established. The emphasis is put on the non-linear term $[{\Phi}({\rho}(t)x^{\prime}(t))]^{\prime}$ involved with the nonnegative singular function and the singular nonlinearity term f in differential equations. Two examples are given to illustrate the main results.

ON A SYSTEM OF GENERALIZED NONLINEAR VARIATIONAL INEQUALITIES

  • Li, Jingchang;Guo, Zhenyu;Liu, Zeqing;Kang, Shin-Min
    • Communications of the Korean Mathematical Society
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    • v.22 no.2
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    • pp.247-258
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    • 2007
  • In this paper a new class of system of generalized nonlinear variational inequalities involving strongly monotone, relaxed co coercive and relaxed generalized monotone mappings in Hilbert spaces is introduced and studied. Based on the projection method, an equivalence between the system of generalized nonlinear variational inequalities and the fixed point problem is established, which is used to suggest some new iterative algorithms for computing approximate solutions of the system of generalized nonlinear variational inequalities. A few sufficient conditions which ensure the existence and uniqueness of solution of the system of generalized nonlinear variational inequalities are given, and the convergence analysis of iterative sequences generated by the algorithms are also discussed.

A Study on the Optimal Image for Precise measurement (정밀측정을 위한 최적영상에 관한 연구)

  • 유봉환
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.3
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    • pp.126-131
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    • 1998
  • In computer vision system of modern industry precise measuring has lots of dfficulties because of measurement error due to distortion phenomenon. Among the difficulties, the distortion of edge is regraded as a dominent problem. which is caused by the vlurred image. The blurred image apperar when camera can not discriminate its precise focus. So. it is very important to decide focus of lens and to develop algorithm in order to correct distortion phenomenon. Thus. discrimination criteria obtained by image information of precise focus must be fixed in advance. The gray level histogram of image acquired from blurred edge tends to show a uniform distribution. Bimodal intensity histogram is related with condition of focus, and it is possible to find good condition of focus by using bimodal histogram of entropy.

STRONG CONVERGENCE OF HYBRID ITERATIVE SCHEMES WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS

  • Kim, Seung-Hyun;Kang, Mee-Kwang
    • The Pure and Applied Mathematics
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    • v.25 no.2
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    • pp.149-160
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    • 2018
  • In this paper, we prove a strong convergence result under an iterative scheme for N finite asymptotically $k_i-strictly$ pseudo-contractive mappings and a firmly nonexpansive mappings $S_r$. Then, we modify this algorithm to obtain a strong convergence result by hybrid methods. Our results extend and unify the corresponding ones in [1, 2, 3, 8]. In particular, some necessary and sufficient conditions for strong convergence under Algorithm 1.1 are obtained.

Goodness-of-Fit Test Based on Smoothing Parameter Selection Criteria

  • Kim, Jong-Tae
    • Communications for Statistical Applications and Methods
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    • v.2 no.1
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    • pp.122-136
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    • 1995
  • The objective of this research is to investigate the problem of goodness-of-fit testing based on nonparametric density estimation with a data-driven smoothing parameter. The small and large sample properties of a new test statistic $\hat{\lambda_a}$ is investigated. The test statistic $\hat{\lambda_a}$ is itself a smoothing parameter which is selected to minimize an estimated MISE for a truncated series estimator of the comparison density function. Therefore, this test statistic leads immediately to a point estimate of the density function th the event that $H_0$ is rejected. The limiting distribution of $\hat{\lambda_a}$ is obtained under the null hypothesis. It is also shown that this test is consistent against fixed alternatives.

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추락방지 생명줄 고정후크 개발 연구

  • Bae, Dal-Yun;Bang, Myeong-Seok
    • Proceedings of the Safety Management and Science Conference
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    • 2013.04a
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    • pp.457-462
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    • 2013
  • Most frequently happening accident in construction working sites was fall in high and dangerous position. Most of fall accidents resulted in serious injury or death of workers. In this research was analysed recent safety accidents for three years from 2010' to 2012 and was developed the safety equipment to be able to efficiently prevent and reduce fall accidents. This new safety equipment can be easily fixed to the reinforcing steel or steel girder etc by the fixing hook of life saving line and is comfortablely portable because of its light weight. The questionnaire study of the developed equipment was performed to investigate the problem in the view point of using in real sites. The result shows that the new fixing fook can reduce fall accidents and satisfy construction workers.

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The study of the efficiency augmentation model under Urban system - a point Taegu subway fire accident probelm and countermeasure - (대구지하철 화재사고를 통한 도시철도의 효율성 증대 모형에 관한 연구)

  • Jung Ye-Seoung
    • Proceedings of the KSR Conference
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    • 2003.05a
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    • pp.239-250
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    • 2003
  • It explained the cause and a process of Taegu subway fire accident in this report. Will reach and to lead it analyzed the structure and actual proof problem which it follows in Urban construction and the operation of Korea. The Urban is operated efficiently to be respected, it demands a security division order to become fixed the culture which it uses, it intercepts the misfortune due to the human being the setup for with the destroyer it is possible. This report will become the place help which reappraises all systems against the construction and the operation of the Urban system.

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The Determination of Corrective Coefficient for Ground Resistance about Variation of Soil Resistivity by Field Test (현장실증시험에 의한 대지저항률별 접지저항 보정계수의 결정)

  • Shim, Keon-Bo;Kim, Kung-Chul;Lee, Hyung-Su;Park, Jae-Duck;Park, Sang-Man
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2006.05a
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    • pp.288-292
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    • 2006
  • Usually, equations that calculate ground resistance of earth electrode was already informed well by form of earth electrode. But, when apply on the spot because general expressions are very insufficient at point that calculate exact ground resistance value by variation of earth electrode, and constant value that corrective coefficient for ground resistance calculation is fixed regardless of change of the earth resistivity specially is presented, it is actuality that difficulty is. Therefore, in this study, about these problem, proposed corrective coefficient for calculation of ground resistance according to change of the earth resistivity.

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Application of Implicit Function Theorem to Existence of Solutions to Ordinary Differential Equations with Nonlocal Boundary Conditions, II (비국소 경계 조건들을 가진 상미분 방정식들의 근의 존재성에 음함수 정리들의 응용 II)

  • Do, Tae-Sug
    • Journal of the Korean Society of Industry Convergence
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    • v.5 no.4
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    • pp.303-307
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    • 2002
  • We consider the problem y"=a(x,y)(y-b), (0$$y(0)=0,\;y^{\prime}(1)=g(y({\xi}),\;y^{\prime}({\xi})),\;{\xi}$$ fixed in (0,1). This is a model of steady-state heat conduction in a rod when the heat flux at the end x=1 is determined by observation of the temperature and heat flux at some interior point ${\xi}$. We establish conditions sufficient for existence, uniqueness, and positivity of solutions.

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