• Title/Summary/Keyword: problem analysis

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SOLUTION SETS OF SECOND-ORDER CONE LINEAR FRACTIONAL OPTIMIZATION PROBLEMS

  • Kim, Gwi Soo;Kim, Moon Hee;Lee, Gue Myung
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.65-70
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    • 2021
  • We characterize the solution set for a second-order cone linear fractional optimization problem (P). We present sequential Lagrange multiplier characterizations of the solution set for the problem (P) in terms of sequential Lagrange multipliers of a known solution of (P).

EXISTENCE OF THREE WEAK SOLUTIONS FOR A CLASS OF NONLINEAR OPERATORS INVOLVING p(x)-LAPLACIAN WITH MIXED BOUNDARY CONDITIONS

  • Aramaki, Junichi
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.3
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    • pp.531-551
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    • 2021
  • In this paper, we consider a mixed boundary value problem to a class of nonlinear operators containing p(x)-Laplacian. More precisely, we consider the problem with the Dirichlet condition on a part of the boundary and the Steklov boundary condition on an another part of the boundary. We show the existence of at least three weak solutions under some hypotheses on given functions and the values of parameters.

INVERSE PROBLEM FOR STOCHASTIC DIFFERENTIAL EQUATIONS ON HILBERT SPACES DRIVEN BY LEVY PROCESSES

  • N. U., Ahmed
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.4
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    • pp.813-837
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    • 2022
  • In this paper we consider inverse problem for a general class of nonlinear stochastic differential equations on Hilbert spaces whose generating operators (drift, diffusion and jump kernels) are unknown. We introduce a class of function spaces and put a suitable topology on such spaces and prove existence of optimal generating operators from these spaces. We present also necessary conditions of optimality including an algorithm and its convergence whereby one can construct the optimal generators (drift, diffusion and jump kernel).

OPTIMAL CONTROL PROBLEM FOR HOST-PATHOGEN MODEL

  • P. T. Sowndarrajan
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.3
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    • pp.659-670
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    • 2023
  • In this paper, we study the distributed optimal control problem of a coupled system of the host-pathogen model. The system consists of the density of the susceptible host, the density of the infected host, and the density of pathogen particles. Our main goal is to minimize the infected density and also to decrease the cost of the drugs administered. First, we prove the existence and uniqueness of solutions for the proposed problem. Then, the existence of the optimal control is established and necessary optimality conditions are also derived.

ON STUDY OF f-APPROXIMATION PROBLEMS AND σ-INVOLUTORY VARIATIONAL INEQUALITY PROBLEMS

  • Mitra, Siddharth;Das, Prasanta Kumar
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.2
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    • pp.223-232
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    • 2022
  • The purpose of the paper is to define f-projection operator to develop the f-projection method. The existence of a variational inequality problem is studied using fixed point theorem which establishes the existence of f-projection method. The concept of ρ-projective operator and σ-involutory operator are defined with suitable examples. The relation in between ρ-projective operator and σ-involutory operator are shown. The concept of σ-involutory variational inequality problem is defined and its existence theorem is also established.

Effects of Policy and Environmental Characteristics of University on Drinking Problems among University Students (대학교 음주관련 정책 환경이 대학생 음주문제에 미친 영향)

  • Kim, Kwang-Kee;JeKarl, Jung;Lee, Ki-Il;Park, Jung-Eun
    • Korean Journal of Health Education and Promotion
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    • v.29 no.2
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    • pp.83-91
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    • 2012
  • Objectives: This study is to examine that drinking problems among university students were accounted for not only by student's individual characteristics but alcohol policy and environmental characteristics of the university in which students were enrolled. Method: Secondary data analysis was employed in which variables under study were derived from a raw data of a nationwide representative sample in 2009. Raw data under analysis included 3,665 students from 63 universities across Korea. Organizational and environmental characteristics of the university were collected from university administrators while individual characteristics and drinking behavior from the students in using self-administrated questionnaire. Multilevel regression analyses were employed to describe alcohol policy effects on students's drinking problems measured by AUDIT by using HLM7.0. Results: ICCs indicate that variation in drinking problem depends on alcohol policy of university. Multilevel regression models identified statistically significant factors in explaining variance of drinking problems. Group means on drinking problem are affected by indicators representing alcohol policy with level of drinking problem of student being decreased in accordance to level of availability of alcohol on campus. Conclusions: It is concluded that drinking problems among university students were associated with both individual characteristics and alcohol policy of the university they enrolled. This study supports policy belief that interventions at environmental as well as individual level are required to prevent drinking problem among university students.

A Heuristic Algorithm for Designing Traffic Analysis Zone Using Geographic Information System (Vector GIS를 이용한 교통 Zone체계 알고리즘 개발 방안에 관한 연구)

  • Choi, Kee-Choo
    • Journal of Korean Society for Geospatial Information Science
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    • v.3 no.1 s.5
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    • pp.91-104
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    • 1995
  • The spatial aggregation of data, in transportation and other planning processes, is an important theoretical consideration because the results of any analysis are not entirely independent of the delineation of zones. Moreover, using a different spatial aggregation may lead to different, and sometimes contradictory conclusions. Two criteria have been considered as important in designing zone systems. They are scale and aggregation. The scale problem arises because of uncertainty about the number of zones needed for a study and the aggregation problem arises because of uncertainty about how the data are to be aggregated to from a given scale problem. In a transportation study, especially in the design of traffic analysis zone(TAZ), the scale problem is directly related to the number dof zones and the aggregation problem involves spatial clustering, meeting the general requirements of forming the zones system such as equal traffic generation, convexity, and the consistency with the political boundary. In this study, first, the comparative study of delineating spatial units has been given. Second, a FORTRAN-based heuristic algorithm for designing TAZ based on socio-economic data has been developed and applied to the Korean peninsula containing 132 micro parcels. The vector type ARC/INFO GIS topological data mosel has been used to provise the adjacency information between parcels. The results, however, leave some to be desired in order to overcome such problems as non-convexity of the agglomerated TAZ system and/or uneven traffic phenomenon for each TAZ.

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Design of Algorithm Thinking-Based Software Basic Education for Nonmajors (비전공자를 위한 알고리즘씽킹 기반 소프트웨어 기초교육 설계)

  • PARK, So-Hyun
    • The Journal of Industrial Distribution & Business
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    • v.10 no.11
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    • pp.71-80
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    • 2019
  • Purpose: The purpose of this study is to design the curriculum of Basic College Software Programming to develop creative and logical-thinking. This course is guided by algorithmic thinking and logical thinking that can be solved by computing for problem-solving, and it helps to develop by software through basic programming education. Through the stage of problem analysis, abstraction, algorithm, data structure, and algorithm implementation, the curriculum is designed to help learners experience algorithm problem-solving in various areas to develop diffusion thinking. For Learners aim to achieve the balanced development of divergent and convergent-thinking needed in their creative problem-solving skills. Research design, data and methodology: This study is to design a basic software education for improving algorithm-thinking for non-major. The curriculum designed in this paper is necessary to non-majors students who have completed the 'Creative Thinking and Coding Course' Design Thinking based are targeted. For this, contents were extracted through advanced research analysis at home and abroad, and experts in computer education, computer engineering, SW education, and education were surveyed in the form of quasi-openness. Results: In this study, based on ADD Thinking's algorithm thinking, we divided the unit college majors into five groups so that students of each major could accomplish the goal of "the ability to internalize their own ideas into computing," and extracted and designed different content areas, content elements and sub-components from each group. Through three expert surveys, we established a strategy for characterization by demand analysis and major/textbook category and verified the appropriateness of the design direction to ensure that the subjects and contents of the curriculum are appropriate for each family in order to improve algorithm-thinking. Conclusions: This study helps develop software by enhancing the ability of students who practice various subjects and exercises to explore creative expressions in various areas, such as 'how to think like a computer' that can implement and execute their ideas in computing. And it helps increase the ability to think logical and algorithmic computing based on creative solutions, improving problem-solving ability based on computing thinking and fundamental understanding of computer coding and development of logical thinking ability through programming.

Analysis of Correlation and Group Difference for Selection of Elementary Fusion Gifted Students (초등융합영재 선발요소의 상관관계 및 그룹 차이 분석)

  • Min, Meekyung;Kim, Kapsu
    • Journal of The Korean Association of Information Education
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    • v.22 no.4
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    • pp.491-500
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    • 2018
  • In the era of the Fourth Industrial Revolution, talents should not be subordinated to a particular discipline, but must be able to converge a variety of disciplines. It is important to have a fused thinking because elementary school students are likely to make various changes. Therefore, when selecting elementary gifted students, they are selecting students for fusion gifted students. This study examines the effects of creative problem solving ability, document evaluation, and interview factors on student selection when selecting students for gifted students. The results show that creative problem solving ability has the most influence on selection. In the case of the fifth graders, the creative problem solving ability and the document evaluation influence the selection. In fourth graders, the creative problem solving ability and interview affect the selection. In the case of female students, it was found that creative problem solving ability and document evaluation influenced selection. In addition, there was a gender difference in the evaluation of documents in the gender difference analysis. There is no significant difference between the three groups in the grade-by-grade difference analysis.

The analysis of mathematics error type that appears from the process of solving problem related to real life (실생활 문장제의 해결과정에 나타나는 오류유형 분석)

  • Park, Jang Hee;Ryu, Shi Kyu;Lee, Joong Kwoen
    • Journal of the Korean School Mathematics Society
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    • v.15 no.4
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    • pp.699-718
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    • 2012
  • The purpose of mathematics eduction is to develop the ability of thinking mathematically. It informs method to solve problem through mathematical thinking that teach mathematical ability. Errors in the problem solving can be thought as those in the mathematical thinking. Therefore analysis and classification of mathematics errors is important to teach mathematics. This study researches the preceding studies on mathematics errors and presents the characteristic of them with analyzed models. The results achieved by analysis of the process of problem solving are as follows : ▸ Students feel much harder to solve words problems rather than multiple-choice problems. ▸ The length of sentence make some differences of understanding of the words problems. Students easy to understand short sentence problems than long sentence problems. ▸ If students feel difficulties on the pre-learned mathematical content, they feel the same difficulties on the words problems based on the pre-learned mathematics content.

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