• Title/Summary/Keyword: Optimality criteria

Search Result 103, Processing Time 0.024 seconds

Strategical Issues in Multiple-Objective Optimal Experimental Design

  • Kim Young-Il;Kahng Myung-Wook
    • Communications for Statistical Applications and Methods
    • /
    • v.13 no.1
    • /
    • pp.1-10
    • /
    • 2006
  • Many of statistical experimental designs have multiple goals. It is often impractical to use the single-objective criterion for this purpose. It is necessary to modify the existing optimum experimental design criteria. There exist three criteria handling this problem in general: compound, constrained, maxi-min approach. This paper extends Kahng and Kim's idea to develop another approach to incorporate several experimental design criteria in accordance of their importance in practical way. Furthermore this paper investigate its relationship with the maxi-min approach. It shows logically that the often realized infeasibility can be still avoided with the rank of importance of the objectives intact.

OPTIMAL HARVESTING FOR A POPULATION DYNAMICS PROBLEM WITH AGE-STRUCTURE AND DIFFUSION

  • Luo, Zhixue
    • Journal of applied mathematics & informatics
    • /
    • v.25 no.1_2
    • /
    • pp.35-50
    • /
    • 2007
  • In this work, optimal harvesting policy for the predator-prey system of three species with age-dependent and diffusion is discussed. Existence and uniqueness of non-negative solution to the system are investigated by using the fixed point theorem. The existence of optimal control strategy is discussed and optimality conditions are obtained. Our results extend some known criteria.

Betterment of The Tractor Frame Design Applying Computation Mechanics Approach

  • Koike, Masayuki
    • Proceedings of the Korean Society for Agricultural Machinery Conference
    • /
    • 1993.10a
    • /
    • pp.1212-1221
    • /
    • 1993
  • The shape optimization procedure applying finite element method was carried out for the specific purpose of analysis of a tractor chassis frame. Minimization of the mass as an objective function is executed under multiple constrained conditions of nodal displacements and stresses. The optimization process executions were succeeded in converging into single optimum solution. Although mass reduction and stress alleviation were attained by 40% and 26 to 24% respectively , the geometry of the shape is so complicated for fabrication that the refinement of the geometry is of necessity.

  • PDF

NUMERICAL SOLUTION OF A KYNAMIC SHAPE CONTROL PROBLEM

  • Choi, Wan-Sik;Belbas, Stavros A.
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1995.10a
    • /
    • pp.275-278
    • /
    • 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.

  • PDF

Parallel Topology Optimization on Distributed Memory System (분산 메모리 시스템에서의 병렬 위상 최적설계)

  • Lee Ki-Myung;Cho Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2006.04a
    • /
    • pp.291-298
    • /
    • 2006
  • A parallelized topology design optimization method is developed on a distributed memory system. The parallelization is based on a domain decomposition method and a boundary communication scheme. For the finite element analysis of structural responses and design sensitivities, the PCG method based on a Krylov iterative scheme is employed. Also a parallelized optimization method of optimality criteria is used to solve large-scale topology optimization problems. Through several numerical examples, the developed method shows efficient and acceptable topology optimization results for the large-scale problems.

  • PDF

Optimization of Automotive Engine-cooling Fan Noise Using Response Surface Method (반응면 기법을 이용한 자동차 엔진 냉각팬의 저소음설계)

  • Lee, J.;Ahn, J.;Lee, S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2000.06a
    • /
    • pp.407-412
    • /
    • 2000
  • Response surface method is employed in optimizing the acoustic performance of automotive engine-cooling axial fans. The effects of modifications in blade geometry on noise reduction are investigated. Taking the far-field noise level as the objective, a quadratic response surface is constructed utilizing D-Optimality condition as the candidate-points selection criteria. It is shown that the quadratic model exhibits an excellent fitting capability resulting in the blade design with low far-field noise level.

  • PDF

Constrained Optimality of an M/G/1 Queueing System

  • Kim, Dong-Jin
    • Proceedings of the Korean Statistical Society Conference
    • /
    • 2003.05a
    • /
    • pp.203-206
    • /
    • 2003
  • This paper studies constrained optimization of an M/G/1 queue with a server that can be switched on and off. One criterion is an average number of customers in the system and another criterion is an average operating cost per unit time, where operating costs consist of switching and running costs. With the help of queueing theory, we solve the problems of optimization of one of these criteria under a constraint for another one.

  • PDF

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
    • /
    • 1998.04a
    • /
    • pp.254-261
    • /
    • 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

  • PDF

Structural Optimization Study about Support Structure of Pressure Container (압력용기 지지구조물의 구조최적화 연구)

  • Kim, Chang-Sik
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.8 no.2 s.21
    • /
    • pp.22-29
    • /
    • 2005
  • In this study we performed topology optimization and size optimization about support structure of pressure container which is installed in a Common Bed. The optimization study shows that structure weight optimization results can be applied to navy ship. The topology optimization is performed by static load, homogenization and optimality criteria method and size optimization is performed by SOL200 of NASTRAN.

A Study on the Optimization of Steel Structures Considering Displacement Constraints (변위제약조건을 고려한 강구조물의 최적화에 관한 연구)

  • Kim, Ho Soo;Lee, Han Joo
    • Journal of Korean Society of Steel Construction
    • /
    • v.10 no.4 s.37
    • /
    • pp.657-666
    • /
    • 1998
  • This study presents an effective dual algorithm for the optimal design of steel structures with displacement constraints. The dual method can replace a primary optimization problem with a sequence of approximate explicit subproblems with a simple algebraic structure. Since being convex and separable, each subproblem can be solved efficiently by the dual method. Specifically, this study uses the principle of virtual work to obtain the displacement constraint equations with an explicit form and adds the linear regression equation expressing the relationships between the cross-section properties to the dual algorithm to reduce the number of design variables. Furthermore, this study deals with the discrete optimization problem to select members with the standard steel sections. Through numerical analyses, the proposed method will be compared with the conventional optimality criteria method.

  • PDF