• Journal of applied mathematics & informatics
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• v.35 no.1_2
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• pp.147-163
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• 2017

In this paper, we establish the necessary and sufficient Karush-Kuhn-Tucker (KKT) conditions for an optimization problem with difference of set-valued maps under generalized cone convexity assumptions. We also study the duality results of Mond-Weir (MW D), Wolfe (W D) and mixed (Mix D) types for the weak solutions of the problem (P).

• Bulletin of the Korean Mathematical Society
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• v.38 no.2
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• pp.237-260
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• 2001

The approximation properties for $L^2$-projection, Raviart-Thomas projection, and inverse inequality have been derived in 3 dimensional space. h-p-mixed finite element methods for strongly nonlinear second order elliptic problems are proposed and analyzed in 3D. Solvability and convergence of the linearized problem have been shown through duality argument and fixed point argument. The analysis is carried out in detail using Raviart-Thomas-Nedelec spaces as an example.

• Korean Journal of Mathematics
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• v.6 no.1
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• pp.27-46
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• 1998

We are concerned with an optimal control problem governed by a Poisson equation in which body force acts like a control parameter. The cost functional to be optimized is taken to represent the error from the desired observation and the cost due to the control. We recast the problem into the mixed formulation to take advantage of the minimax principle for the duality method. The existence of a saddle point for the Lagrangian shall be shown and the optimality system will be derived therein. Finally, to attain an optimal control, we combine the optimality system with an operational technique. By achieving the gradient of the cost functional, a convergent algorithm based on the projected gradient method is established.

• Journal of the Korean Operations Research and Management Science Society
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• v.14 no.2
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• pp.19-26
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• 1989

We in this paper have defined the concept of .epsilon.-symmetric relation between the Lagrangean relaxation and the Benders' decomposition. This links the solutions of the Lagrangean subproblems and those of the Benders' subproblems even under positive duality gaps. As an application we have discussed the reduction of the size for a special class of problems.

• The Journal of the Korea institute of electronic communication sciences
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• v.11 no.1
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• pp.29-36
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• 2016

Recently a new class of quantum gate called $NCV-{\mid}v_1$ > library with low cost realizable potentialities is being watched with keen interest. The $NCV-{\mid}v_1$ > MCT gate is composed of AND cascaded-$CV-{\mid}v_1$ > gates to control the target qudit and its adjoint gates to erase junk ones. This paper presents a new symmetrical duality library named $NCV^{\dag}-{\mid}v_1$ > library corresponding to $NCV-{\mid}v_1$ > library. The new $NCV^{\dag}-{\mid}v_1$ > library can be operated on OR logic under certain conditions. By using both the $NCV-{\mid}v_1$ > and $NCV^{\dag}-{\mid}v_1$ > libraries it is possible to realize MPMCT gates, SOP and POS type synthesis of quantum logic circuits with extremely low cost, and expect dual gate property caused by different operational attributes with respect to forward and backward operations.

• Coupled systems mechanics
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• v.7 no.6
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• pp.649-668
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• 2018

In this paper, we present a numerical model for fluid-structure interaction between structure built of porous media and acoustic fluid, which provides both pore pressure inside porous media and hydrodynamic pressures and hydrodynamic forces exerted on the upstream face of the structure in an unified manner and simplifies fluid-structure interaction problems. The first original feature of the proposed model concerns the structure built of saturated porous medium whose response is obtained with coupled discrete beam lattice model, which is based on Voronoi cell representation with cohesive links as linear elastic Timoshenko beam finite elements. The motion of the pore fluid is governed by Darcy's law, and the coupling between the solid phase and the pore fluid is introduced in the model through Biot's porous media theory. The pore pressure field is discretized with CST (Constant Strain Triangle) finite elements, which coincide with Delaunay triangles. By exploiting Hammer quadrature rule for numerical integration on CST elements, and duality property between Voronoi diagram and Delaunay triangulation, the numerical implementation of the coupling results with an additional pore pressure degree of freedom placed at each node of a Timoshenko beam finite element. The second original point of the model concerns the motion of the outside fluid which is modeled with mixed displacement/pressure based formulation. The chosen finite element representations of the structure response and the outside fluid motion ensures for the structure and fluid finite elements to be connected directly at the common nodes at the fluid-structure interface, because they share both the displacement and the pressure degrees of freedom. Numerical simulations presented in this paper show an excellent agreement between the numerically obtained results and the analytical solutions.

• Journal of the Korean Operations Research and Management Science Society
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• v.23 no.2
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• pp.187-200
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• 1998

This paper presents an original approach for solving short-term power scheduling in extended power system with two fuels in a unit and a limited fuel using Lagrangian relaxations. The underlying model incorporates the full set of costs and constraints including setup, production, ramping, and operational status, and takes the form of a mixed integer nonlinear control problem. Moreover, the mathematical model developed includes two fuels in a unit and a limited fuel, regulation reserve requirements of prespecified group of units. Lagrangian relaxation is used to disaggregate the model by generator into separate subproblems which are then solved with a nested dynamic program including empirical knowledges. The strength of the methodology lies partially in its ability to construct good feasible solutions from information provided by the dual. Thus, the need for branch-and-bound is eliminated. In addition, the inclusion of two fuels in a unit and a limited fuel provides new insight into the limitations of current techniques. Computational experience with the proposed algorithm indicates that Problems containing up to 23 units including 8 unit used two fuels and 24 time periods can be readily solved in reasonable times. Duality gaps of less than 4％ were achieved.

• Proceedings of the Korean Institute of Building Construction Conference
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• 2006.11a
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• pp.21-24
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• 2006

This study investigates field application of flowing concrete in order to improve workability, duality and economic evaluation of concrete. Test results showed that slump of fresh concrete satisfied the target value before and after flowing concrete, and setting time indicated 3 hours difference depending on the mixture proportion of ready-mixed-concrete company. As for the hardened concrete, compressive strength of standard curing specimens, both control and flowing concrete, presented designed value at 28 days elapse. However, the specimens curing at atmosphere decreased the value, due to the lower curing temperature, but also performed the designed value at 91 days. For the evaluation of construction fee by value engineering(V.E) concept, a flowing method declined 4.89% of concrete construction fee, which is 4.9% reduction for materials and 25% reduction for labor expenses, compared with previous construction methods.

• Journal of Fashion Business
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• v.11 no.5
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• pp.110-123
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• 2007

This study aims at analyzing the characteristics and the mode of deconstructionism expressed in fashion design centering on review of literatures and precedent researches. Through the review of previous studies and various articles, three major features with regard to deconstructionism were found: indeterminacy of meaning, decentralization, and inter -textuality. In fashion, the feature of indeterminacy of meaning expressed by non formula way such as unfinished, layering, obi or straight line cutting and it was divided into unstructured and unorganized factors. The feature of decentralization expressed by disorganization of sex, race, culture and humanism such as trans-gender, third world costume, sub-culture, posthumanism. Last, the feature of inter-textuality expressed by employing the fashion texts more than two simultaneously such as mixture of unmatched or unusual various clothing items, fabrics, patterns and styles. Non formality features in fahsion which divided into unstructured and unconstructed factors. The decentering of meaning means that disorganized the existing concepts of sex, race, culture and humanism features in fashion which divided into cross-gender, subculture, and post-humanism. Lastly, the feature of inter-textuality means that employed the fashion text more than two which is classified into factors of mixing mode and mixed styles. Unstructured factors were expressed by destroying the design principles such as balance, harmony and unit in fashion. Unconstructed factors were expressed by ignoring the basic costume structures and components in fashion. Cross-gender was expressed by manish and duality style in fashion and 3rd world costume was expressed by folk costume style. Anti fashion was expressed by anti aesthetics in fashion such as kitch, punk, and hippie styles. Post-human was expressed by futurism and the 4th Sex style in fashion. Mixing mode were expressed by mixture of item, and unmatched materials and pattern in fashion. Mixture of style were expressed by mixture of pastiche expression of various styles.

• Resources Recycling
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• v.15 no.2 s.70
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• pp.24-31
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• 2006

The duality of recycled fine aggregate (RS) which was produced at the waste concrete crushing was investigated. The compressive strength, flexural strength and absorption of mortar utilized with RS were examined. It was evaluated on the application of RS as precast concrete aggregate. The density and absorption of RS were $2.31g/cm^3$ and 8.07% respectively, the quality of RS was satisfied with the criterion of KS F 2573 type 2. The maximum 28days compressive strength of mortar mixed with blended cement MRS1, MRS2 and MRS3 were developed with 15.8, 27.4 and 48.7MPa respectively, in condition to curing temperature $40^{\circ}C$ and water-cement ratio 37.5%. When blended cement MRS1 and MRS2 were used, the maximum flexural strength of mortar was developed at curing temperature $40^{\circ}C$ and water-cement ratio 35.0%. When blended cement MRS3 was used, the maximum flexural strength of mortar was developed at curing temperature $40^{\circ}C$ and water-cement ratio 37.5%. The absorption of mortar mixed with blended cement MRS1, MRS2 and MRS3 were indicated the range of $8.3{\sim}7.3%,\;6.5{\sim}8.5%$ and $3.5{\sim}6%$ respectively. Therefore, when the ratio of blended cement and RS is appropriately centre]led, it would be expected that MRS1, MRS2 and MRS3 will be able to apply the variable low strength, medium strength and high strength precaste concrete.