• 제어로봇시스템학회:학술대회논문집
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• 2003.10a
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• pp.61-64
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• 2003

A band function model paired comparison method (BMPC method) is a kind of a paired comparison methods. Considering the human ambiguities, the BMPC method expressing the human judgment characteristics as a monotonous increase function with some width. Since function types are not specified in a BMPC method, the solution is obtained from inequalities, and the solution is given as a domain. To solve the simultaneous inequalities, the sequential renew method is used in the previous BMPC method. However, the sequential renew method requires much computational effort and memories. Generally, in BMPC method, it is able to solve only a paired comparison table which has less 12-13 samples. For that purpose, a new fast solution algorithm is required. In this paper, we proposed a new “search vector method” which renews the solution domain without creating new edge vectors. By using the method, it is able to decrease the necessary memory spaces and time to solve. The proposed method makes it able to solve more than 15 samples paired comparison inspections which are impossible to solve by previous method.

• Journal of Korea Society of Industrial Information Systems
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• v.9 no.4
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• pp.75-79
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• 2004

We investigate various $\phi_0-boundedness$ and $\phi_0-Lagrange$ stability of the trivial solution of comparison differential system. We also investigated the corresponding boundedness concepts of the trivial solution of the differential system using the theory of differential inequalities through cones and the method of cone valued Lyapunov functions.

• Communications of the Korean Mathematical Society
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• v.38 no.3
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• pp.925-935
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• 2023

In this paper, we consider a boundary value problem for a sixth order difference equation. We prove the monotone behavior of the eigenvalue of the problem as the coefficients in the difference equation change values and the existence of a positive solution for a class of problems.

• Structural Engineering and Mechanics
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• v.48 no.6
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• pp.879-914
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• 2013

In part I of the article, formulation and characteristics of the several well-known structural geometrical nonlinear solution techniques were studied. In the present paper, the efficiencies and capabilities of residual load minimization, normal plane, updated normal plane, cylindrical arc length, work control, residual displacement minimization, generalized displacement control and modified normal flow will be evaluated. To achieve this goal, a comprehensive comparison of these solution methods will be performed. Due to limit page of the article, only the findings of 17 numerical problems, including 2-D and 3-D trusses, 2-D and 3-D frames, and shells, will be presented. Performance of the solution strategies will be considered by doing more than 12500 nonlinear analyses, and conclusions will be drawn based on the outcomes. Most of the mentioned structures have complex nonlinear behavior, including load limit and snap-back points. In this investigation, criteria like number of diverged and complete analyses, the ability of passing load limit and snap-back points, the total number of steps and analysis iterations, the analysis running time and divergence points will be examined. Numerical properties of each problem, like, maximum allowed iteration, divergence tolerance, maximum and minimum size of the load factor, load increment changes and the target point will be selected in such a way that comparison result to be highly reliable. Following this, capabilities and deficiencies of each solution technique will be surveyed in comparison with the other ones, and superior solution schemes will be introduced.

• The Pure and Applied Mathematics
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• v.4 no.2
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• pp.161-166
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• 1997

We obtained sufficient conditions for $\phi$(t)-stability and uniform $\phi$(t)-stability of the trivial solution of comparison differential system. we also investigated the corresponding stability concepts of the trivial solution of the differential system using the thoery of differential inequlities through cones and the method of conevalued Lyapunov functions.

• Journal of Chest Surgery
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• v.22 no.6
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• pp.927-935
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• 1989

Using an isolated Rat heart preparation of the Sprague Dawley strain, the YUMC cardioplegic solution k the St. Thomas Hospital Cardioplegic Solution were compared in the non waking K working heart perfusion systems by evaluating the hemodynamics, [bio] chemical, and light microscopic finding The heart rate k coronary flow of the two groups in the 20 minutes post ischemic recovery time were 288.6*6.5 vs 283.7*12 and 21.3*1.0 vs 19.0*1.7 respectively with no statistical significance existing. However the aortic systolic pressure, aortic overflow, cardiac output which were 81.7[4.2 vs 78.4*1.8, 18.3*1.1 vs 13.0*2.5 and 36.9*0.9 vs 32.0*3.2 respectively with P < 0.01 indicate that the comparison of these three parameters is statistically meaningful. The amount of CPK extracted in the 20 minutes post 120 minutes of ischemia was compared for the two cardioplegic solution, the results of which turned out to be similar, light microscopic findings were also found to be similar. It is thought that the YUMC cardioplegic solution provided better results than the St. Thomas hospital solution because of the differing composition of the two solution such as glucose, mannitol, albumin were put only in the former solution enhancing osmolarity of the cardioplegic solution providing better hemodynamic results.

• Biotechnology and Bioprocess Engineering:BBE
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• v.5 no.1
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• pp.65-70
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• 2000

An approximated analytical solution of mathematical model for the three phase fluidized bed bioreactor (TFBBR) was proposed using the linearization technique to describe oxygen utilization rate in wastewater treatment. The validation of the model was done in comparison with the experimental results. Satisfactory agreement was obtained in the comparison of approximated analytical solution and numerical solution in the oxygen concentration profile of a TFBBR. The approximated solutions for three modes of the liquid phase flow were compared. The proposed model was able to predict the biomass concentration, dissolved oxygen concentration the height of efficient column, and the removal efficiency.

• The Korean Journal of Food And Nutrition
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• v.9 no.2
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• pp.189-200
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• 1996

The purpose of this study was to find the effect of honey on the sugar metabolism In Sprague-Dawley rats. All experimental rats were fed ad libitum, for seven weeks, 68% saccharide diet anti 10% or 20% honey from acacia, sumac and miscellaneous flower honey, respectively, and sucrose. The amount of glucose in whole blood was increased in all groups fed with honey except the group fed with 10% sumac honey solution. The amount of fructosamine in serum of rat taken diet with honey solution was increased in comparison with normal group, control group, sucrose group. The amount of fructosamine in serum of rat taken diet with honey solution was high in order of sumac honey > miscellaneous flower honey > acacia honey. The amount of lactate and pyruvate in whole blood of rat taken diet with sucrose group or honey group were decreased in comparison with the normal group and control group. The amount of $\beta$-hydroxybutyrate in serum of rat taken diet with sucrose or honey was increased in comparison with the normal group, control group.

• Smart Structures and Systems
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• v.16 no.5
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• pp.891-918
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• 2015

In many of microdevices a part of a microbeam is covered by a piezoelectric layer. Depend on the application a DC or AC voltage is applied between upper and lower side of the piezoelectric layer. A common method in many of previous works for evaluating the response of these structures is discretizing by Galerkin method. In these works often single mode shape of a uniform microbeam i.e. the microbeam without piezoelectric layer has been used as comparison function, and so the convergence of the solution has not been verified. In this paper the Galerkin method is used for discretization, and a comprehensive analysis on the convergence of solution of equation that is discretized using this comparison function is studied for both clamped-clamped and clamped-free microbeams. The static and dynamic solution resulted from Galerkin method is compared to the modal expansion solution. In addition the static solution is compared to an exact solution. It is denoted that the required numbers of uniform microbeam mode shapes for convergence of static solution due to DC voltage depends on the position and thickness of deposited piezoelectric layer. It is shown that when the clamped-clamped microbeam is coated symmetrically by piezoelectric layer, then the convergence for static solution may be obtained using only first mode. This result is valid for clamped-free case when it is covered by piezoelectric layer from left clamped side to the right. It is shown that when voltage is AC then the number of required uniform microbeam shape mode for convergence is much more than the number of required mode in modal expansion due to the dynamic effect of piezoelectric layer. This difference increases by increasing the piezoelectric thickness, the closeness of the excitation frequency to natural frequency and decreasing the damping coefficient. This condition is often indefeasible in microresonator system. It is concluded that discreitizing the equation of motion using one mode shape of uniform microbeam as comparison function in many of previous works causes considerable errors.

• Bulletin of the Korean Chemical Society
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• v.9 no.6
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• pp.413-414
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• 1988