• Title/Summary/Keyword: Upper-Bound

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Optimal stopping in sampling from a multivariate distribution

  • Jorn, Hong-Suk;Chung, Han-Young
    • Journal of the Korean Operations Research and Management Science Society
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    • v.1 no.1
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    • pp.147-150
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    • 1976
  • Optimal stopping problem without recall from a multivariate distribution is solved by using the concept of an equilibrium point which was introduced by J. Nash. The solution is derived for the two cases: 1. The case where the observation cost C is positive and the given upper bound K on the number of observations is infinite. 2. The case where the observation cost C is zero and the given upper bound K on the number of observations is finite.

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An O($n^2log n$) Algorithm for the Linear Knapsack Problem with SUB and Extended GUB Constraints (단순상한 및 확장된 일반상한제약을 갖는 선형배낭문제의 O($n^2log n$) 해법)

    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.3
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    • pp.1-9
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    • 1997
  • We present an extension of the well-known generalized upper bound (GUB) constraint and consider a linear knapsack problem with both the extended GUB constraints and the simple upper bound (SUB) constraints. An efficient algorithm of order O($n^2log n$) is developed by exploiting structural properties and applying binary search to ordered solution sets, where n is the total number of variables. A numerical example is presented.

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UPPER BOUND ON THE THIRD HANKEL DETERMINANT FOR FUNCTIONS DEFINED BY RUSCHEWEYH DERIVATIVE OPERATOR

  • Yavuz, Tugba
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.437-444
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    • 2018
  • Let S denote the class of analytic and univalent functions in the open unit disk $D=\{z:{\mid}z{\mid}<1\}$ with the normalization conditions f(0) = 0 and f'(0) = 1. In the present article, an upper bound for third order Hankel determinant $H_3(1)$ is obtained for a certain subclass of univalent functions generated by Ruscheweyh derivative operator.

ON THE EXTENSION DIMENSION OF MODULE CATEGORIES

  • Peng, Yeyang;Zhao, Tiwei
    • Journal of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1389-1406
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    • 2020
  • Let Λ be an Artin algebra and mod Λ the category of finitely generated right Λ-modules. We prove that the radical layer length of Λ is an upper bound for the radical layer length of mod Λ. We give an upper bound for the extension dimension of mod Λ in terms of the injective dimension of a certain class of simple right Λ-modules and the radical layer length of DΛ.

EXPONENTIAL FAMILIES RELATED TO CHERNOFF-TYPE INEQUALITIES

  • Bor, G.R.Mohtashami
    • Journal of the Korean Mathematical Society
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    • v.39 no.4
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    • pp.495-507
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    • 2002
  • In this paper, the characterization results related to Chernoff-type inequalities are applied for exponential-type (continuous and discrete) families. Upper variance bound is obtained here with a slightly different technique used in Alharbi and Shanbhag [1] and Mohtashami Borzadaran and Shanbhag [8]. Some results are shown with assuming measures such as non-atomic measure, atomic measure, Lebesgue measure and counting measure as special cases of Lebesgue-Stieltjes measure. Characterization results on power series distributions via Chernoff-type inequalities are corollaries to our results.

Robust Hybrid Control for Robot Manipulators (로보트 매니퓰레이터의 강인한 하이브리드 제어)

  • Koo, Keun-Mo;Myeong, Hyeon;Kim, Jong-Hwan
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.344-346
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    • 1992
  • In this paper a robust hybrid control algorithm for n-link nonredundant robot manipulators is proposed. This scheme includes an estimation law for the upper bound on the uncertainty such that robust control input is updated as a function of the estimated upper bound. The uniform ultimate boundedness of the tracking error is generated by the Lyapunov based theory.

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Guaranteed cost control for singular systems with time delays using LMI

  • Kim, Jong-Hae
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.44.1-44
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    • 2002
  • This paper is concerned with the problem of designing a guaranteed cost state feedback controller for singular systems with time-varying delays. The sufficient condition for the existence of a guaranteed cost controller, the controller design method, and the optimization problem to get the upper bound of guaranteed cost function are proposed by LMI(linear matrix inequality), singular value decomposition, Schur complements, and change of variables. Since the obtained sufficient conditions can be changed to LMI form, all solutions including controller gain and upper bound of guaranteed cost function can be obtained simultaneously.

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A guaranteed cost LQ regulator in the presence of parameter uncertainties (파라미터가 불확정된 경우의 guaranteed cost LQ 레귤레이터)

  • 이정문;최계근
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.367-369
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    • 1986
  • Guaranteed cost control is a method applicable to a class of systems with uncertain parameters that guarantees an upper bound of the cost functional. This paper is concerned with a matrix decomposition technique used to yield a reasonable upper bound of the cost functional for a finite-time LQ regulator problem. The uncertain linear systems dealt with in this paper are described by a set of state equations of single-input phase-variable canonical form which contain unknown but bounded uncertain parameters.

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Prediction Model Using Upper Bound Theorem of Shear Strength for RC Beams Strengthened by FRP (상한계 이론을 이용한 FRP로 보강된 RC보의 전단강도 예측 모델)

  • 홍성걸;문선혜
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.908-911
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    • 2003
  • This study was performed to verify the effect of reinforcement of RC Beams strengthened($90^{\circ}$ strip type) by FRP(CFRP) and Predited the shear strength of them using the upper bound theorem. The prediction model was confirmed with the result of the FEM analysis. The analyzed result showed thar shear-damaged RC beams by strengthened by FRP was improved their shear capacity.

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Fekete-Szegö Problem and Upper Bound of Second Hankel Determinant for a New Class of Analytic Functions

  • Bansal, Deepak
    • Kyungpook Mathematical Journal
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    • v.54 no.3
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    • pp.443-452
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    • 2014
  • In the present investigation we consider Fekete-Szeg$\ddot{o}$ problem with complex parameter ${\mu}$ and also find upper bound of the second Hankel determinant ${\mid}a_2a_4-a^2_3{\mid}$ for functions belonging to a new class $S^{\tau}_{\gamma}(A,B)$ using Toeplitz determinants.