• Journal of the Korean Operations Research and Management Science Society
• /
• v.19 no.3
• /
• pp.169-186
• /
• 1994

This paper presents three mathematical programming approaches to solving transshipment problems with interval supply and demand requirements. A linear goal programming model was developed based on the data obtained from a nationwide retail firm. Three mathematical programming model results were compared and analyzed, and three separate hypotheses were examined by using the Wilcoxon signed-ranked test for the model applicability. The test results were analyzed and interpreted for decision making.

• Journal of the Chungcheong Mathematical Society
• /
• v.22 no.2
• /
• pp.177-186
• /
• 2009

The global least squares method (Gl-LSQR) is a generalization of LSQR method for solving linear system with multiple right hand sides. In this paper, we present how to apply this algorithm for solving the image restoration problem and illustrate the usefulness and effectiveness of this method from numerical experiments.

• The Pure and Applied Mathematics
• /
• v.22 no.3
• /
• pp.231-243
• /
• 2015

We suggest and analyze a family of multi-step iterative methods for solving nonlinear equations using the decomposition technique mainly due to Rafiq et al. [13].

• Journal of applied mathematics & informatics
• /
• v.9 no.1
• /
• pp.167-183
• /
• 2002

A modified discretization ABS algorithm for solving a class of singular nonlinear systems, F($\chi$)=0, where $\chi$, F $\in$ $R^n$, is presented, constructed by combining a discretization ABS algorithm arid a method of Hoy and Schwetlick (1990). The second order differential operation of F at a point is not required to be calculated directly in this algorithm. Q-quadratic convergence of this algorithm is given.

• Journal of Korean Society of Industrial and Systems Engineering
• /
• v.3 no.3
• /
• pp.55-58
• /
• 1980

Today, L.P. model has often been used in solving economic and managemental phenomena. But in case of adopting L.P. model in dealing with practical economic and managemental problems there is a possibility that we have difficulties in solving these problems because of greatness of model size, cost for collecting data, cost for adjusting matrix, and etc. In this respect "Decomposition Algorithm for L.P." has been used in overcoming the difficulties above stated. In this paper therefore, I will try to introduce and them criticize Dantzig -Wolfe's "Decomposition Method" and Kornai - Liptak's "Two - Level Planning".ot;Two - Level Planning".uot;.

• Journal of the Chungcheong Mathematical Society
• /
• v.24 no.3
• /
• pp.437-447
• /
• 2011

In this paper we present a new variant of the Euler-Chebyshev method for solving nonlinear equations. Analysis of convergence is given to show that the presented methods are at least fifth-order convergent. Several numerical examples are given to illustrate that newly presented methods can be competitive to other known fifth-order methods and the Newton method in the efficiency and performance.

• Journal of Engineering Education Research
• /
• v.9 no.4
• /
• pp.46-62
• /
• 2006

The purpose of this study is to identify characteristics which are related with design problem solving. For this, an effective problem solver and an ineffective problem solver have been compared and analyzed in terms of the process of design problem solving with a population of students who are enrolled in College of Engineering. This study can be concluded as follows. First, the process of design problem solving was performed in non-linear form and it was varied depending on individuals. Second, the results of problem solving could be varied according to the qualitative level of performance in each stage rather than according to the differences of consumption time by each stage. Third, the main activities in process of design problem solving were identifying a design brief, identifying requirements, exploring a problem solution, and idea modeling. Fourth, the making activities took place most frequently and the longest time in the entire process, meanwhile exploring a problem solution was related to the results of design problem solving.

• Journal of Educational Research in Mathematics
• /
• v.19 no.3
• /
• pp.461-477
• /
• 2009

In this study, an operational analysis in the context of linear equations is presented. For the analysis, several second-order models concerning students' whole number knowledge and fraction knowledge based on teaching experiment methodology were employed, in addition to our first-order analysis. This ontogenetic analysis begins with students' Explicitly Nested number Sequence (ENS) and proceeds on through various forms of linear equations. This study shows that even in the same representational forms of linear equations, the mathematical knowledge necessary for solving those equations might be different based on the type of coefficients and constants the equation consists of. Therefore, the pedagogical implications are that teachers should be able to differentiate between different types of linear equation problems and propose them appropriately to students by matching the required mathematical knowledge to the students' potential constructs.

• Communications of the Korean Mathematical Society
• /
• v.12 no.2
• /
• pp.457-466
• /
• 1997

We give a formula related to fractional calculus which may be useful in solving some fractional linear differential equations. We also give a brief survey of the history of the fractional calculus.

• Proceedings of the Korean Operations and Management Science Society Conference
• /
• 1996.10a
• /
• pp.4-4
• /
• 1996