• Journal of applied mathematics & informatics
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• v.40 no.5_6
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• pp.933-947
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• 2022

In this research, we presented the type 2 fuzzy transportation problem with additional constraints and solved by our proposed genetic algorithm model, and the results are verified using the softwares, genetic algorithm tool in Matlab and Lingo. The goal of our approach is to minimize the cost in solving a transportation problem with an additional constraint (TPAC) using the genetic algorithm (GA) based type 2 fuzzy parameter. We reduced the type 2 fuzzy set (T₂FS) into a type 1 fuzzy set (T₁FS) using a critical value-based reduction method (CVRM). Also, we use the centroid method (CM) to obtain the corresponding crisp value for this reduced fuzzy set. To achieve the best solution, GA is applied to TPAC in type 2 fuzzy parameters. A real-life situation is considered to illustrate the method.

• Child Health Nursing Research
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• v.15 no.1
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• pp.15-23
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• 2009

Purpose: This research was done to provide fundamental data to improve learning methods in Pediatric nursing and meet the needs of the students in actual nursing by analyzing nurse student experiences with problem-based learning in Pediatric nursing. Method: Using the 31 Q-samples selected, 20 nursing students from J college were selected as p-samples. The students were personally interviewed in January or February 2008. Result: The result of the study showed 3 types. The first type was the "negative resister", who failed to adapt to the problem-based learning and resists negatively. The second type was the "active receiver", who participated in the process of the problem-based learning and received it actively. The third type was the "passive accepters", who accepted problem-based learning but worried because they were familiar only with traditional learning. Conclusions: In this study, problem-based learning was used for classes in the science of pediatric nursing. The findings indicate that preparation for learning and details should be considered when developing and using modules for pediatric nursing. Further study on the development of problem-based learning modules is also indicated.

• Industrial Engineering and Management Systems
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• v.8 no.1
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• pp.22-28
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• 2009

We consider facility layout problems, where mn facility units are assigned into mn cells. These cells are arranged into a rectangular pattern with m rows and n columns. In order to solve this cell type facility layout problem, many approximation algorithms with improved local search methods were studied because it was quite difficult to find exact optimum of such problem in case of large size problem. In this paper, new algorithms based on Simulated Annealing (SA) method with two neighborhood generation methods are proposed. The new neighborhood generation method adopts the exchanging operation of facility units in accordance with adjacent preference. For evaluating the performance of the neighborhood generation method, three algorithms, previous SA algorithm with random 2-opt neighborhood generation method, the SA-based algorithm with the new neighborhood generation method (SA1) and the SA-based algorithm with probabilistic selection of random 2-opt and the new neighborhood generation method (SA2), are developed and compared by experiment of solving same example problem. In case of numeric examples with problem type 1 (the optimum layout is given), SA1 algorithm could find excellent layout than other algorithms. However, in case of problem type 2 (random-prepared and optimum-unknown problem), SA2 was excellent more than other algorithms.

• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.433-455
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• 2005

Fritz John, and Karush-Kuhn-Tucker type optimality conditions for a constrained variational problem involving higher order derivatives are obtained. As an application of these Karush-Kuhn-Tucker type optimality conditions, Wolfe and Mond-Weir type duals are formulated, and various duality relationships between the primal problem and each of the duals are established under invexity and generalized invexity. It is also shown that our results can be viewed as dynamic generalizations of those of the mathematical programming already reported in the literature.

• Journal of applied mathematics & informatics
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• v.35 no.5_6
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• pp.439-447
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• 2017

This paper investigates the inverse problem of determining an unknown heat radiative coefficient, which is only time-dependent. This is an ill-posed problem, that is, small errors in data may cause huge deviations in determining solution. In this paper, the existence and uniqueness of the problem is established by the second Volterra integral equation theory, and the method of trace-type functional formulation combined with finite difference scheme is studied. One typical numerical example using the proposed method is illustrated and discussed.

• Bulletin of the Korean Mathematical Society
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• v.35 no.2
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• pp.325-338
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• 1998

Some nonlocal boundary value problems which arise from a feedback control problem are considered. We give a precise statement of the mathematical problems and then prove the existence and uniqueness of the solutions. We consider the Dirichlet type boundary value problem and the Neumann type boundary value problem with nonlinear boundary conditions. We also provide a regularity results for the solutions.

• Journal of the Korean Mathematical Society
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• v.54 no.1
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• pp.249-265
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• 2017

Interface problem here refers to a second order elliptic problem with a discontinuous coefficient for the second order derivatives. For the corresponding boundary value problem, the maximum principle still holds but Hopf's boundary point lemma may fail. We will give an optimal power type estimate that replaces Hopf's lemma at those boundary points, where this coefficient jumps.

• Journal of the Korean Home Economics Association
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• v.41 no.7
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• pp.121-143
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• 2003

The purpose of this study was to show general trends in the psychological environment of family and problem behaviors perceived by adolescents and examine possible changes in such trends in accordance with the individual variables of adolescent, and then find out the effect of these variables on adolescents' problem behavior. The subject were 1374 adolescents of middle school in Busan(male 698, female 676). The main results were as follows : (1) General trends in the degree of parental monitoring showed that girls had more high than boys, and in the degree of family discord, boys showed more high than girls. In the degree of openness of parent-adolescent communication perceived by adolescents showed that girls had more open communication with mother than boys. Such trends in problem behaviors indicated that adolescents had the attention problem most. According to gender, girls had more problems in withdrawal, somatic complain, anxiety/depression, thought problems, attention problems, destructivity/identity, internalizing problems, total behavior problems in comparison to boys. Boys did delinquent behaviors more than girls. (2) For boys, the monthly income of their family, family discord, and the mother-adolescent communication have a significant direct effect on internalizing problems, externalizing problems and total behavior problems. Besides mother's employment and the type of family have a significant indirect effect on behavior problem. For girls, mother's employment, parental monitoring, family discord, and father-adolescent communication have a significant direct effect on internalizing problems. Mother's employment, family discord, mother-adolescent communication have a significant indirect effect on externalizing problems and total behavior problems. Bisides mother's employment, grade, the type of family, dating have a significant indirect effect on behavior problem. (3) The variables to have a significant influence on the parental monitoring showed as the monthly income of their family, dating, mother's employment, the type of family, the family discord showed as mother's employment on the parent-adolescent communication showed as the type of family. (4) Family discord was the most powerful predicator of problem behaviors of middle school students.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.31 no.2
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• pp.80-93
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• 2008

This paper improves algorithms for an assembly-type flowshop scheduling problem in which each job is to assemble two types of components and makespan is the objective measure. For the assembly, one type of the components is outsourced with job-dependent lead time but the other type is fabricated in-house. When both components for a job are prepared, the assembly operation for the job can be started. This problem had been proved to be NP-Complete, so branch-and-bound (B&B) and heuristic algorithms have already been developed. In this paper, we suggest other dominance rules, lowerbound and heutistic algorithms. Also, we develop a new B&B algorithm using these improved bound and dominance rules. The suggested heuristics and B&B algorithm are compared with existing algorithms on randomly-generated test problems.

• Communications of the Korean Mathematical Society
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• v.27 no.2
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• pp.411-423
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• 2012

A nondifferentiable nonlinear semi-infinite programming problem is considered, where the functions involved are ${\eta}$-semidifferentiable type I-preinvex and related functions. Necessary and sufficient optimality conditions are obtained for a nondifferentiable nonlinear semi-in nite programming problem. Also, a Mond-Weir type dual and a general Mond-Weir type dual are formulated for the nondifferentiable semi-infinite programming problem and usual duality results are proved using the concepts of generalized semilocally type I-preinvex and related functions.