• Title/Summary/Keyword: optimal theory

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Decision making for Shipping Network based on Adaptive Cumulative Prospect Theory

  • Pham Thi Yen;Nguyen Phung Hung;Truong Ngoc Cuong;Hwan-Seong Kim
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2023.05a
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    • pp.256-257
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    • 2023
  • This paper aims to propose optimal method to assess and cumulate the daily profit for liner shipping to support the shipping lines in making optimal decision with the highest average daily profit. This paper not only explains the actual calculated results align with decision-makers' behavior from concepts indicated in cumulative prospect theory but also contributes to an easy-to-apply method for liner shipping network predictability in and provides optimal decision-making is helpful for shipping managers for the best effective selection of the most appropriate alternative under uncertainties.

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MEASURE THEORETICAL APPROACH FOR OPTIMAL SHAPE DESIGN OF A NOZZLE

  • FARAHI M. H.;BORZABADI A. H.;MEHNE H. H.;KAMYAD A. V.
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.315-328
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    • 2005
  • In this paper we present a new method for designing a nozzle. In fact the problem is to find the optimal domain for the solution of a linear or nonlinear boundary value PDE, where the boundary condition is defined over an unspecified domain. By an embedding process, the problem is first transformed to a new shape-measure problem, and then this new problem is replaced by another in which we seek to minimize a linear form over a subset of linear equalities. This minimization is global, and the theory allows us to develop a computational method to find the solution by a finite-dimensional linear programming problem.

A NEW APPROACH TO SOLVING OPTIMAL INNER CONTROL OF LINEAR PARABOLIC PDES PROBLEM

  • Mahmoudi, M.;Kamyad, A.V.;Effati, S.
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.719-728
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    • 2012
  • In this paper, we develop a numerical method to solving an optimal control problem, which is governed by a parabolic partial differential equations(PDEs). Our approach is to approximate the PDE problem to initial value problem(IVP) in $\mathbb{R}$. Then, the homogeneous part of IVP is solved using semigroup theory. In the next step, the convergence of this approach is verified by properties of one-parameter semigroup theory. In the rest of paper, the original optimal control problem is solved by utilizing the solution of homogeneous part. Finally one numerical example is given.

Some Remarks on the Spherical Indentation Theory (구형 압입이론에 관한 고찰)

  • Lee, Jin-Haeng;Lee, Hyeong-Il;Song, Won-Geun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.4
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    • pp.714-724
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    • 2001
  • In this work, some inaccuracies and limitation of prior indentation theory, which is based on the deformation theory of plasticity and experimental observations, are first investigated. Then effects of major material properties on the configuration of indentation load-deflection curve are examined via incremental plasticity theory based finite element analyses. It is confirmed that subindenter deformation and stress-strain distribution from the deformation theory of plasticity are quite dissimilar to those from incremental theory of plasticity. We finally suggest the optimal data acquisition location, where the strain gradient is the least and the effect of friction is negligible. This data acquisition point increases the strain range by a factor of five.

Comparison of Indentation Characteristics According to Deformation and Incremental Plasticity Theory (변형 및 증분소성이론에 따른 압입특성 비교)

  • Lee, Jin-Haeng;Lee, Hyung-Yil
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.177-184
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    • 2000
  • In this work, some inaccuracies and limitation of prior indentation theory, which is based on the deformation theory of plasticity and experimental observations, are first investigated. Then effects of major material properties on the configuration of indentation load-deflection curve are examined via incremental plasticity theory based finite element analyses. It is confirmed that subindenter deformation and stress-strain distribution from the deformation theory of plasticity are quite dissimilar to those from incremental theory of plasticity. We finally suggest the optimal data acquisition location, where the strain gradient is the least and the effect of friction is negligible. This data acquisition point increases the strain range by a factor of five.

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Numerical Solution of Riccati Differential Equation in Optimal Control Theory (최적제어이론과 관련된 "리카티" 미분방정식의 수식해)

  • 경규학
    • Journal of the Korean Operations Research and Management Science Society
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    • v.9 no.2
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    • pp.28-33
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    • 1984
  • In this paper some procedures are given whereby an analytic solution may be found for the Riccati differential equation and algebraic Riccati equation in optimal control theory. Some iterative techniques for solving these equations are presented. Rate of convergence and initialization of the iterative processes are discussed.

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Optimal Operation Scheduling Using Possibility Fuzzy Theory on Cogeneration Systems Connected with Auxiliary Equipment (각종 보조설비가 연계된 열병합발전시스템에서 가능성 퍼지이론을 적용한 최적운전계획수립)

  • Kim, Sung-Il;Jung, Chang-Ho;Lee, Jong-Beon
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.128-130
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    • 1995
  • This paper presents the optimal operation scheduling on cogeneration systems connected with auxiliary equipment by using the possibility fuzzy theory. The probability fuzzy theory is a method to obtain the possibility of the solution from the fuzzification of coefficients. Simulation is carried out to obtain the boundary of heat production in each time interval. Simulation results shows effectively the flexible operation boundary to establish operation scheduling.

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Application of Optimal Design Method to Agent Discharge Flow Calculation of Gaseous Fire Extinguishing Systems (최적설계법을 응용한 가스계 소화설비의 약제방출량 산출)

  • Lee, Dong-Myung
    • Fire Science and Engineering
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    • v.29 no.5
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    • pp.51-56
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    • 2015
  • In this study, optimal design methods were applied to the agent discharge flow of clean agent fire extinguishing systems. The methods combined optimal design theory and engineering theory for engineering analysis in a design program or coast savings in value engineering. Optimal design parameters were determined to optimize the agent discharge flow based on the design theory of the clean agent fire extinguishing systems and the theory of optimal design. The design factors were verified in regard to suitability for the performance of fire extinguishing systems. The results provide a foundation for optimal design method methods in other fire extinguishing systems. Optimization of the agent discharge flow of the discharge nozzle was confirmed by the constraints on the inner diameter of the discharge nozzle and the pipe, agent arrival time, flow, and pressure variation of the agent. The deviation of discharge pressure and agent time of the agent discharge nozzle were found to correlate with the pressure variation.

Time-optimal multistage controllers from the theory of dynamical cell-to-cell mappings

  • Yoon, Joong-Sun
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.118-123
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    • 1989
  • This work deals with fast-to-compute global control laws for time-optimal motion of strongly nonlinear dynamic systems like resolute robots. the theory of cell-to-cell mappings for dynamical systems offer the possibility of doing the vast majority of the control law computation offline in case of time optimization with constrained inputs. These cells result from a coarse discretization of likely swaths of state space into a set of nonuniform, contiguous volumes of relatively simple shapes. Once the cells have been designed, the bang-bang schedules for the inputs are determined for all likely starting cells and terminating cells. the resulting control law is an open-loop optimal control law with feedback monitoring and correction.

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INDEFINITE STOCHASTIC OPTIMAL LQR CONTROL WITH CROSS TERM UNDER IQ CONSTRAINTS

  • Luo, Cheng-Xin;Feng, En-Min
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.185-200
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    • 2004
  • A stochastic optimal LQR control problem under some integral quadratic (IQ) constraints is studied, with cross terms in both the cost and the constraint functionals, allowing all the control weighting matrices being indefinite. Sufficient conditions for the well-posedness of this problem are given. When these conditions are satisfied, the optimal control is explicitly derived via dual theory.