• Title/Summary/Keyword: approaches to mathematical problems

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A Thesis Committee Scheduling (학위논문 심사스케쥴링에 관한 연구)

  • 양광민;신승철
    • Journal of the Korean Operations Research and Management Science Society
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    • v.15 no.2
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    • pp.17-31
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    • 1990
  • This problem analyzed in this paper is to specify a schedule for thesis committee allowing maximum committee members' preference over thesis topics and meeting time-slots while satisfying other related scheduling requirements such as prohibiting simultaneous assignment of a committee member to more than one committee at a time. Two mathematical programming applroaches are presented to solve the thesis committee scheduling problem in a professional graduate school. They include LP-based branch-and-bound approach with network subproblems. Characterization of the problem is analyzed to develop an efficient solution algorithm. Implementation and computational experiments are also performed for real size problems on an IBM PC/AT to show the relative performance of the propsoed approaches along with an ordinary ILP solution approach.

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Robust Structural Optimization Considering the Tolerances of Design Variables (설계변수의 공차를 고려한 구조물의 강건 최적설계)

  • Lee, Gwon-Hui;Park, Gyeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.1
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    • pp.112-123
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    • 1997
  • The optimization techniques have been applied to versatile engineering problems for reducing manufacturing cost and for automatic design. The deterministic approaches or op5imization neglect the effects on uncertainties of design variables. The uncertainties include variation or perturbation such as tolerance band. The optimum may be useless when the constraints considering worst cases of design variables can not be satisfied, which results from constraint variation. The variation of design variables can also give rise to drastic change of performances. The two issues are related to constraint feasibility and insensitive performance. Robust design suggested in the present study is developed to gain an optimum insensitive to variation on design variables within feasible region. The multiobjective function is composed to the mean and the standard deviation of original objective function, while the constraints are supplemented by adding penalty term to original constraints. This method has a advantage that the second derivatives of the constraints are not required. A mathematical problem and several standard problems for structural optimization are solved to check out the usefulness of the suggested method.

Analytical and numerical simulation on charging behavior of no-insulation REBCO pancake coil

  • Quach, Huu Luong;Kim, Ji Hyung;Chae, Yoon Seok;Moon, Jae Hyung;Ko, Jung Hyup;Kim, Hyung-Wook;Kim, Seog-Whan;Jo, Young-Sik;Kim, Ho Min
    • Progress in Superconductivity and Cryogenics
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    • v.20 no.4
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    • pp.16-19
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    • 2018
  • This paper presents analytical and numerical simulation approaches on charging characteristics of no-insulation (NI) REBCO pancake coil by using the equivalent circuit model to estimate magnetic performance response in the coil. The analytical methods provide closed form or definite solution in the form of complete mathematical expressions but they are hard to solve the complex problems. Numerical methods have become popular with the development of the computing capabilities to solve the problems which are impossible or very hard to solve analytically. First of all, the equivalent circuit model are proposed to develop the simulation code for both analytical and numerical method. The charging test was performed under critical current to obtain magnetic field induced and terminal voltage through the radial as well as spiral current paths within the coil. To verify the validity of both proposed methods, the simulation results were compared and discussed with the experimental results.

The Optimal Design of gas oven assembly line with the Simulation and Evolution Strategy (시물레이션과 진화 전략을 이용한 가스 오븐 조립라인의 최적 설계)

  • Kim, Kyung-Rok;Lee, Hong-Chul
    • Proceedings of the KAIS Fall Conference
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    • 2009.12a
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    • pp.715-718
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    • 2009
  • The assembly line is one of the typical process hard to analyze with mathematical methods including even stochastic approaches, because it includes many manual operations varying drastically depending on operators' skills. In this paper, we suggest the simulation optimization method to design the optimal assembly line of a gas oven. To achieve the optimal design, firstly, we modeled the real gas oven assembly line with actual data, such as assembly procedures, operation rules, and other input parameters and so on. Secondly, we build some alternatives to enhance the line performance based on business rules and other parameters. The DOE(Design Of Experiment) techniques were used for testing alternatives under various situations. Each alternatives performed optimization process with evolution strategy; one of the GA(Genetic Algorithm) techniques. As a result, we can make about 7% of throughputs up with the same time and cost. By this process, we expect the assembly line can obtain the solution compatible with their own problems.

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A Study on Uncertainty Analyses of Monte Carlo Techniques Using Sets of Double Uniform Random Numbers

  • Lee, Dong Kyu;Sin, Soo Mi
    • Architectural research
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    • v.8 no.2
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    • pp.27-36
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    • 2006
  • Structural uncertainties are generally modeled using probabilistic approaches in order to quantify uncertainties in behaviors of structures. This uncertainty results from the uncertainties of structural parameters. Monte Carlo methods have been usually carried out for analyses of uncertainty problems where no analytical expression is available for the forward relationship between data and model parameters. In such cases any direct mathematical treatment is impossible, however the forward relation materializes itself as an algorithm allowing data to be calculated for any given model. This study addresses a new method which is utilized as a basis for the uncertainty estimates of structural responses. It applies double uniform random numbers (i.e. DURN technique) to conventional Monte Carlo algorithm. In DURN method, the scenarios of uncertainties are sequentially selected and executed in its simulation. Numerical examples demonstrate the beneficial effect that the technique can increase uncertainty degree of structural properties with maintaining structural stability and safety up to the limit point of a breakdown of structural systems.

The Role of Social Work in Mental Health in a Variable Multicultural Environment

  • SEENIVASAN, R.
    • Journal of Wellbeing Management and Applied Psychology
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    • v.3 no.2
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    • pp.21-26
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    • 2020
  • The purpose of this article is to capture this situation within the changes that take place due to it, inside the Greek society where there is a great need for professional social workers who are able to work targeted and effectively with foreigners, both children and adults, who have or develop mental health problems for the very first time. Over the recent decades the increasing number of migration flows has exerted and continues to exert great pressure on the health system and on the welfare structures of Greece. The bases for the development of a rudimentary reception and integration system that still is in progress have been delayed, while there has been no happy medium, between the enormous pressure that foreigner users of this system put on, and the humanitarian obligation of a well-governed state towards all residents of the country. Straight through everyday clinical practice in the field of intercultural work, social work has the knowledge and techniques for a total management of emerging problems and at the same time provides a value system with an ethical background which approaches refugees and migrants in order to provide quality services, mostly to users of mental health services.

Conditional moment closure modeling in turbulent nonpremixed combustion (난류확산연소에서의 conditional moment closure modeling)

  • Huh, Kang-Yul
    • 한국연소학회:학술대회논문집
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    • 2000.12a
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    • pp.24-32
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    • 2000
  • A brief introduction is given on the conditional moment closure model for turbulent nonpremixed combustion. It is based on the transport equations derived through a rigorous mathematical procedure for the conditionally averaged quantities and appropriate modeling forms for conditional scalar dissipation rate, conditional mean velocity and reaction rate. Examples are given for prediction of NO and OH in bluffbody flames, soot distribution in jet flames and autoignition of a methane/ethane jet to predict the ignition delay with respect to initial temperature, pressure and fuel composition. Conditional averaging may also be a powerful modeling concept in other approaches involved in turbulent combustion problems in various different regimes.

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Algorithm for optimum operation of large-scale systems by the mathematical programming (수리계획법에 의한 대형시스템의 최적운용 앨고리즘)

  • 박영문;이봉용;백영식;김영창;김건중;김중훈;양원영
    • 전기의세계
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    • v.30 no.6
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    • pp.375-385
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    • 1981
  • New algorithms are derived for nonlinear programming problems which are characterized by their large variables and equality and inequality constraints. The algorithms are based upon the introduction of the Dependent-Variable-Elimination method, Independent-Variable-Reduction method, Optimally-Ordered-Triangular-Factorization method, Equality-Inequality-Sequential-Satisfaction method, etc. For a case study problem relating to the optimal determination of load flow in a 10-bus, 13-line sample power system, several approaches are undertaken, such as SUMT, Lagrange's Multiplier method, sequential applications of linear and quadratic programming method. For applying the linear programming method, the conventional simplex algorithm is modified to the large-system-oriented one by the introduction of the Two-Phase method and Variable-Upper-Bounding method, thus resulting in remarkable savings in memory requirements and computing time. The case study shows the validity and effectivity of the algorithms presented herein.

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Conditional Moment Closure Modeling in Turbulent Nonpremixed Combustion (난류확산연소에서의 Conditional Moment Closure Modeling)

  • Huh, Kang-Y.
    • Journal of the Korean Society of Combustion
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    • v.5 no.2
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    • pp.9-17
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    • 2000
  • A brief introduction is given on the conditional moment closure model for turbulent nonpremixed combustion. It is based on the transport equations derived through a rigorous mathematical procedure for the conditionally averaged quantities and appropriate modeling forms for conditional scalar dissipation rate, conditional mean velocity and reaction rate. Examples are given for prediction of NO and OR in bluffbody flames, soot distribution in jet flames and autoignition of a methane/ethane jet to predict the ignition delay with respect to initial temperature, pressure and fuel composition. Conditional averaging may also be a powerful modeling concept in other approaches involved in turbulent combustion problems in various different regimes.

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Neuropsychological Approaches to Mathematical Learning Disabilities and Research on the Development of Diagnostic Test (신경심리학적 이론에 근거한 수학학습장애의 유형분류 및 심층진단검사의 개발을 위한 기초연구)

  • Kim, Yon-Mi
    • Education of Primary School Mathematics
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    • v.14 no.3
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    • pp.237-259
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    • 2011
  • Mathematics learning disabilities is a specific learning disorder affecting the normal acquisition of arithmetic and spatial skills. Reported prevalence rates range from 5 to 10 percent and show high rates of comorbid disabilities, such as dyslexia and ADHD. In this study, the characteristics and the causes of this disorder has been examined. The core cause of mathematics learning disabilities is not clear yet: it can come from general cognitive problems, or disorder of innate intuitive number module could be the cause. Recently, researchers try to subdivide mathematics learning disabilities as (1) semantic/memory type, (2) procedural/skill type, (3) visuospatial type, and (4) reasoning type. Each subtype is related to specific brain areas subserving mathematical cognition. Based on these findings, the author has performed a basic research to develop grade specific diagnostic tests: number processing test and math word problems for lower grades and comprehensive math knowledge tests for the upper grades. The results should help teachers to find out prior knowledge, specific weaknesses of students, and plan personalized intervention program. The author suggest diagnostic tests are organized into 6 components. They are number sense, conceptual knowledge, arithmetic facts retrieval, procedural skills, mathematical reasoning/word problem solving, and visuospatial perception tests. This grouping will also help the examiner to figure out the processing time for each component.