• Title/Summary/Keyword: A-Optimality

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Bayes and Empirical Bayes Estimation of the Scale Parameter of the Gamma Distribution under Balanced Loss Functions

  • Rezaeian, R.;Asgharzadeh, A.
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.71-80
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    • 2007
  • The present paper investigates estimation of a scale parameter of a gamma distribution using a loss function that reflects both goodness of fit and precision of estimation. The Bayes and empirical Bayes estimators rotative to balanced loss functions (BLFs) are derived and optimality of some estimators are studied.

MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH A MODIFIED OBJECTIVE FUNCTION

  • Kim, Do-Sang
    • Communications of the Korean Mathematical Society
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    • v.20 no.4
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    • pp.837-847
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    • 2005
  • We consider multiobjective fractional programming problems with generalized invexity. An equivalent multiobjective programming problem is formulated by using a modification of the objective function due to Antczak. We give relations between a multiobjective fractional programming problem and an equivalent multiobjective fractional problem which has a modified objective function. And we present modified vector saddle point theorems.

AN OPTIMAL CONTROL FOR THE WAVE EQUATION WITH A LOCALIZED NONLINEAR DISSIPATION

  • Kang, Yong-Han
    • East Asian mathematical journal
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    • v.22 no.2
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    • pp.171-188
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    • 2006
  • We consider the problem of an optimal control of the wave equation with a localized nonlinear dissipation. An optimal control is used to bring the state solutions close to a desired profile under a quadratic cost of control. We establish the existence of solutions of the underlying initial boundary value problem and of an optimal control that minimizes the cost functional. We derive an optimality system by formally differentiating the cost functional with respect to the control and evaluating the result at an optimal control.

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A study on the design of the optimal nonlinear controller for single state feedback (단일상태 feedback을 가지는 계의 최적 비선형제어기 설계에 관한 연구)

  • 노용균;조겸래
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.206-209
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    • 1988
  • For feedback control of a linear dynamic system the optimum linear slace regulator (OLSR) can be implemented only if all state are available for feedback. This work demonstrates that when only the output state is available for feedback, a nonlinear controllers can be improved performance over that obtained by a proportional controller. This paper found the optimal control law by well-known dynamic programming and principles of optimality. Thus, performance of both proportional and nonlinear controllers is compared with performance of optimum linear state regulator.

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NUMERICAL SOLUTION OF A KYNAMIC SHAPE CONTROL PROBLEM

  • Choi, Wan-Sik;Belbas, Stavros A.
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.275-278
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    • 1995
  • In this paper, we consider a dynamic shape control problem with an example of controlling a flexible beam shape. Mathematical formulations are obtained by employing the Green's function approach. Necessary conditions for optimality are derived by considering the quadratic performance criteria. Numerical results for both of the dynamic and the static cases are obtained and compared.

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Discrete Optimization of Tall Steel Frameworks under Multiple Drift Constraints (다중변위 구속조건하에서 고층철골조의 이산형 최적화)

  • 이한주;김호수
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.04a
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    • pp.254-261
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    • 1998
  • This study presents a discrete optimization of tall steel buildings under multiple drift constraints using a dual method. Dual method can replace the primary optimization problem with a sequence of approximate explicit subproblems. Since each subproblem is convex and separable, it can be efficiently solved by using a dual formulation. Specifically, this study considers the discrete-optimization problem due to the commercial standard steel sections to select member sizes. The results by the proposed method will be compared with those of the conventional optimality criteria method

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An Optimality Criterion for Median-unbiased Estimators

  • Sung, Nae-Kyung
    • Journal of the Korean Statistical Society
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    • v.19 no.2
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    • pp.176-181
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    • 1990
  • Sung [1990] presented an analogue of the classical Cramer-Rao inequality for median-unbiased estimators with continuous multivariate densities depending upon a vector parameter. In the process, diffusivity, a new dispersion measure relevant to median-unbiased estimators, was defined to be a function of median-unbiased estimator's density height. In this paper we shall elaborate these ideas by defining a second kind of diffusivity and discuss the role of model-unbiasedness in median-unbiased estimation in connection with this seconde kind of diffusivity. In addition, median-unbiased estimation will be compared to mean-unbiased estimation.

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Optimal Design of Generalized Process-storage Network Applicable To Polymer Processes (고분자 공정에 적용할 수 있는 일반화된 공정-저장조 망구조 최적설계)

  • Yi, Gyeongbeom;Lee, Euy-Soo
    • Korean Chemical Engineering Research
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    • v.45 no.3
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    • pp.249-257
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    • 2007
  • The periodic square wave (PSW) model was successfully applied to the optimal design of a batch-storage network. The network structure can cover any type of batch production, distribution and inventory system, including recycle streams. Here we extend the coverage of the PSW model to multitasking semi-continuous processes as well as pure continuous and batch processes. In previous solutions obtained using the PSW model, the feedstock composition and product yield were treated as known constants. This constraint is relaxed in the present work, which treats the feedstock composition and product yield as free variables to be optimized. This modification makes it possible to deal with the pooling problem commonly encountered in oil refinery processes. Despite the greater complexity that arises when the feedstock composition and product yield are free variables, the PSW model still gives analytic lot sizing equations. The ability of the proposed method to determine the optimal plant design is demonstrated through the example of a high density polyethylene (HDPE) plant. Based on the analytical optimality results, we propose a practical process optimality measure that can be used for any kind of process. This measure facilitates direct comparison of the performance of multiple processes, and hence is a useful tool for diagnosing the status of process systems. The result that the cost of a process is proportional to the square root of average flow rate is similar to the well-known six-tenths factor rule in plant design.

Hybrid Divisible Load Theory

  • Kim H. J.;Kim Ki Seb;Choi Yong Soo;Lee Dal Ho
    • Proceedings of the IEEK Conference
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    • 2004.08c
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    • pp.524-527
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    • 2004
  • New concept of hybrid divisible load theory is introduced in this paper. Hybrid system deals with a combination of modularly divisible load and arbitrarily divisible load. Main idea of hybrid divisible load theory is introduced with a simple example. A condition of optimality is derived for the hybrid case.

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Personalized Digital Library System using Mobile Multi Agents

  • Cho, Young-Im;Lee, Sung-Jae;Kim, You-Shin
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.268-271
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    • 2003
  • In this paper, we propose a new framework based on negotiatory mobile multi agent system, and implement a mobile multi agent environment based on DECAF(Distributed Environment-Centered Agent Framework) which is one of the distributed agent development toolkit so as to implement a new PDS(Personal Digital Library System). The new framework has some optimality and higher performance in distributed environments.

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