• 제목/요약/키워드: Inequality Theory

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On the Moving Average Models with Multivariate geometric Distributions

  • Baek, Jong-ill
    • Communications for Statistical Applications and Methods
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    • 제6권3호
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    • pp.677-686
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    • 1999
  • In this paper we introduce a class of moving-average(MA) sequences of multivariate random vectors with geometric marginals. The theory of positive dependence is used to show that in various cases the class of MA sequences consists of associated random variables. We utilize positive dependence properties to obtain weakly probability inequality of the multivariate processes.

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프랜차이즈 산업 균형발전의 의미와 방안 -외식 프랜차이즈 가맹본부와 가맹점 성과의 공유사례를 중심으로- (Significance and Method for a More Balanced Development of the Restaurant Franchise Business - Focused on Performance-Sharing Examples Between Franchisor and Franchisee -)

  • 서민교;박종혁
    • 한국프랜차이즈경영연구
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    • 제5권1호
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    • pp.65-84
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    • 2014
  • 본 연구의 목적은 프랜차이즈 성과공유에 대한 이론고찰과 사례를 통해 효과적인 프랜차이즈 성과공유방안을 제시하는 것이다. 이를 위하여 본 연구에서는 자원의존이론과 불형평이론에 대한 고찰을 통해 프랜차이즈 기업과 가맹점주의 관계, 프랜차이즈 비즈니스에서의 성과공유를 설명하였고 '맥주바켓'의 워크인쿨러 시스템, 주류판매 수수료의 가맹점 분배, '오니기리와 이규동'의 가맹점 장학제도, '본죽'의 가맹점 협의체인 본사모의 사례를 통해 프랜차이즈 비즈니스에서 활용할 수 있는 성과공유의 사례를 소개하였다. 이러한 이론고찰과 사례검토를 통해 본 연구에서는 5가지의 성과공유 방안을 제시하였다. 첫째는 '프랜차이즈 기업의 핵심역량의 공유'이며 두번째는 '로열티문화의 정착'이다. 세 번째는 '과학적인 상권분석과 매출예측시스템 구축'이며 네 번째는 '가맹본부의 실질적인 자금지원 강화'이다. 마지막은 '프랜차이즈 가맹점 협의회의 긍정적 활용'이며 이러한 성과공유 방안은 가맹본부와 가맹점의 상생에 밑거름이 될 것으로 사료된다.

특정한 확률분포를 가정하지 않는 경우에 효용의 분산이 제품선택확률에 미치는 영향에 대한 연구 (An Investigation on the Effect of Utility Variance on Choice Probability without Assumptions on the Specific Forms of Probability Distributions)

  • 원지성
    • 경영과학
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    • 제28권1호
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    • pp.159-167
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    • 2011
  • The theory of random utility maximization (RUM) defines the probability of an alternative being chosen as the probability of its utility being perceived as higher than those of all the other competing alternatives in the choice set (Marschak 1960). According to this theory, consumers perceive the utility of an alternative not as a constant but as a probability distribution. Over the last two decades, there have been an increasing number of studies on the effect of utility variance on choice probability. The common result of the previous studies is that as the utility variance increases, the effect of the mean value of the utility (the deterministic component of the utility) on choice probability is reduced. This study provides a theoretical investigation on the effect of utility variance on choice probability without any assumptions on the specific forms of probability distributions. This study suggests that without assumptions of the probability distribution functions, firms cannot apply the marketing strategy of maximizing choice probability (or market share), but can only adopt the strategy of maximizing the minimum or maximum value of the expected choice probability. This study applies the Chebyshef inequality and shows how the changes in utility variances affect the maximum of minimum of choice probabilities and provides managerial implications.

Characterization of New Two Parametric Generalized Useful Information Measure

  • Bhat, Ashiq Hussain;Baig, M. A. K.
    • Journal of Information Science Theory and Practice
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    • 제4권4호
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    • pp.64-74
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    • 2016
  • In this paper we define a two parametric new generalized useful average code-word length $L_{\alpha}^{\beta}$(P;U) and its relationship with two parametric new generalized useful information measure $H_{\alpha}^{\beta}$(P;U) has been discussed. The lower and upper bound of $L_{\alpha}^{\beta}$(P;U), in terms of $H_{\alpha}^{\beta}$(P;U) are derived for a discrete noiseless channel. The measures defined in this communication are not only new but some well known measures are the particular cases of our proposed measures that already exist in the literature of useful information theory. The noiseless coding theorems for discrete channel proved in this paper are verified by considering Huffman and Shannon-Fano coding schemes on taking empirical data. Also we study the monotonic behavior of $H_{\alpha}^{\beta}$(P;U) with respect to parameters ${\alpha}$ and ${\beta}$. The important properties of $H_{{\alpha}}^{{\beta}}$(P;U) have also been studied.

Vibration Control of Multi-Degree-of-Freedem Structure by Nonlinear TEX>$H_\infty$ Control

  • Kubota, Kenta;Sampei, Mitsuji
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.354-358
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    • 1994
  • This study is concerned with H$_{\infty}$ control theory of nonlinear systems. Recently H$_{\infty}$ control theory has been developed to nonlinear systems, and especially nonlinear H$_{\infty}$ control theory based on the Hamilton-Jacobi inequality has been proposed. This corresponds to linear H$_{\infty}$ control theory based on the Riccati equation. In this paper, we apply it to a semi-active dynamic vibration absorber for multi-degree-of-freedom structure, and we design its state feedback controller via the Riccati equation. In the simulation, we show that it is effective for a vibration control.rol.

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Active Vibration Control of a Structure with Output Feedback Based on Simultaneous Optimization Design Method

  • Kim, Young-Bok
    • Journal of Mechanical Science and Technology
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    • 제14권1호
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    • pp.57-64
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    • 2000
  • Recent advances in the field of control theory have enabled us to design active vibration control systems for various structures. In many studies, the controller used to suppress vibration has been synthesized for the given mathematical model of structure. In these cases, the designer has not been able to utilize the degree of freedom to adjust the structural parameters of the control object. To overcome this problem, so called 'Structure/Control Simultaneous Optimization Method' is used. In this context of view, this paper is concerned with the active vibration control of bridge towers, platforms and ocean vehicles etc. Simultaneous design method is used to achieve optimal system performance. Here, a general framework for the simultaneous design problem of output feedback case is introduced based on LMI (Linear Matrix Inequality). The simulation results show that the proposed design method achieves desirable control performance.

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Internet Based Network Control using Fuzzy Modeling

  • Lee, Jong-Bae;Park, Chang-Woo;Sung, Ha-Gyeong;Lim, Joon-Hong
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1162-1167
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    • 2004
  • This paper presents the design methodology of digital fuzzy controller(DFC) for the systems with time-delay. We propose the fuzzy feedback controller whose output is delayed with unit sampling period and predicted. The analysis and the design problem considering time-delay become easy because the proposed controller is syncronized with the sampling time. The stabilization problem of the digital fuzzy system with time-delay is solved by linear matrix inequality(LMI) theory. Convex optimization techniques are utilized to solve the stable feedback gains and a common Lyapunov function for designed fuzzy control system. To show the effectiveness the proposed control scheme, the network control example is presented.

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제어입력 크기제한을 갖는 시스템에서 외란 응답 감소를 위한 이득 스케쥴 제어 - 이론 (Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Theory)

  • 강민식
    • 한국정밀공학회지
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    • 제23권6호
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    • pp.81-87
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    • 2006
  • A new gain-scheduled control design is proposed to improve disturbance attenuation for systems with bounded control input. The state feedback controller is scheduled according to the proximity to the origin of the state of the plant. The controllers is derived in the framework of linear matrix inequality(LMI) optimization. This procedure yields a linear time varying control structure that allows higher gain and hence higher performance controllers as the state move closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition.

제어입력 크기제한을 갖는 시스템에서 이득 스케줄 상태되먹임-외란앞먹임 제어 - 이론 (Gain Scheduled State Feedback and Disturbance Feedforward Control for Systems with Bounded Control Input - Theory)

  • 강민식
    • 한국정밀공학회지
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    • 제24권11호
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    • pp.59-65
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    • 2007
  • A new optimal state feedback and disturbance feedforward control design in the sense of minimizing $L_2$-gain from disturbance to control output is proposed for disturbance attenuation of systems with bounded control input and measurable disturbance. The controller is derived in the framework of linear matrix inequality(LMI) optimization. A gain scheduled state feedback and disturbance feedforward control design is also suggested to improve disturbance attenuation performance. The control gains are scheduled according to the proximity to the origin of the state of the plant and the magnitude of disturbance. This procedure yields a stable linear time varying control structure that allows higher gain and hence higher performance controller as the state and the disturbance move closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition.

ON SOME NEW NONLINEAR DELAY AND WEAKLY SINGULAR INTEGRAL INEQUALITIES

  • Ma, Qing-Hua;Debnath, L.
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.877-888
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    • 2008
  • This paper deals with some new nonlinear delay and weakly singular integral inequalities of Gronwall-Bellman type. These results generalize the inequalities discussed by Xiang and Kuang [19]. Several other inequalities proved by $Medve{\check{d}}$ [15] and Ou-Iang [17] follow as special cases of this paper. This work can be used in the analysis of various problems in the theory of certain classes of differential equations, integral equations and evolution equations. A modification of the Ou-Iang type inequality with delay is also treated in this paper.

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