• Title/Summary/Keyword: mixed formulation

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Solving Mixed Strategy Nash-Cournot Equilibria under Generation and Transmission Constraints in Electricity Market

  • Lee, Kwang-Ho
    • Journal of Electrical Engineering and Technology
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    • v.8 no.4
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    • pp.675-685
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    • 2013
  • Generation capacities and transmission line constraints in a competitive electricity market make it troublesome to compute Nash Equilibrium (NE) for analyzing participants' strategic generation quantities. The NE can cause a mixed strategy NE rather than a pure strategy NE resulting in a more complicated computation of NE, especially in a multiplayer game. A two-level hierarchical optimization problem is used to model competition among multiple participants. There are difficulties in using a mathematical programming approach to solve a mixed strategy NE. This paper presents heuristics applied to the mathematical programming method for dealing with the constraints on generation capacities and transmission line flows. A new formulation based on the heuristics is provided with a set of linear and nonlinear equations, and an algorithm is suggested for using the heuristics and the newly-formulated equations.

Stability Improvement of Amlodipine Maleate Tablets using Aqueous Polymer Coating Technique (친수성 폴리머 제피를 이용한 말레인산암로디핀 정제의 안정성 개선)

  • Choi, In-Sik;Shin, Taek-Hwan;Choi, Sung-Up;Lee, Jae-Hwi;Choi, Young-Wook
    • Journal of Pharmaceutical Investigation
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    • v.34 no.5
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    • pp.407-411
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    • 2004
  • New formulations of amlodipine maleate tablet have been investigated to enhance the stability of the drug against light and humidity. Three kinds of amlodipine maleate tablets were prepared. One is prepared by previously known formulation (formulation C), the others were by new formulations using hydrophilic polymer $(Opadry^{\circledR})$ coated granules (formulations A and B). Amlodipine maleate powder was coated with $Opadry^{\circledR}$ to produce the coated granules and it was mixed with other excipients to produce the tabletting mass of new formulations A and B. Dissolution rate of newly formulated tablets was over 80% within 10 minutes in 0.01 M HCl medium, and its dissolution pattern was similar to that of $Norvasc^{\circledR}$ tablet. After 6 months storage under accelerated conditions, residual drug contents of tested formulations (A and B) were not significantly different from formulation C, ranging from 96.2 to 100.4%. Meanwhile, dissolution amount of formulation C was significantly reduced compared to that of formulation A (p<0.05), showing formulation A was more stable than unprotected formulation C at the accelerated conditions. Results of appearance, hardness and disintegration remained unchanged during stability study. In conclusion, it showed that the new formulations had enhanced the stability characteristics and hydrophilic coating technique was an alternative and promising method to improve the stability of amlodipine maleate tablet.

A Mixed Variational Principle of Fully Anisotropic Linear Elasticity (이방성탄성문제의 혼합형변분원리)

  • 홍순조
    • Computational Structural Engineering
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    • v.4 no.2
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    • pp.87-94
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    • 1991
  • In this paper, a mixed variational principle applicable to the linear elasticity of inhomogeneous anisotropic materials is presented. For derivation of the general variational principle, a systematic procedure for the variational formulation of linear coupled boundary value problems developed by Sandhu et al. is employed. Consistency condition of the field operators with the boundary operators results in explicit inclusion of boundary conditions in the governing functional. Extensions of admissible state function spaces and specialization to a certain relation in the general governing functional lead to the desired mixed variational principle. In the physical sense, the present variational principle is analogous to the Reissner's recent formulation obtained by applying Lagrange multiplier technique followed by partial Legendre transform to the classical minimum potential energy principle. However, the present one is more advantageous for the application to the general anisotropic materials since Reissner's principle contains an implicit function which is not easily converted to an explicit form.

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Dissolution Test to Optimize Liquid Formulations for Enteric Coated Tablets and Capsules Containing Enteric Coated Granules of Omeprazole (장용정 Omeprazole정제와 캅셀제의 액제화 투여 방법의 용출시험)

  • Jang, Hyejung;Lee, Sukhyang
    • Korean Journal of Clinical Pharmacy
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    • v.11 no.1
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    • pp.13-18
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    • 2001
  • Omeprazole is usually administered as encapsulated enteric-coated granules and enteric-coated tablets because of its acid-labile nature. For children and patients who can not swallow, it can be mixed with water or other liquid after a capsule is opened or a tablet is crushed. This study was performed to compare omeprazole liquid formulations of tablet and capsule Omeprazole 20 mg capsule containing enteric coated granules was opened and 20 mg entric-coated tablet was ground to be mixed with sodium bicarbonate solution, orange juice or water. Each liquid formulation was poured into dissolution tester, mixed with first solution (artificial gastric juice; pH 1.2) for two hours, then with second solution (artifical enteric juice; pH 6.8) for thirty minutes. pH was measured periodically for two and half hours. Samples were drawn periodically, mixed with lansoprazole as an internal standard, and injected to HPLC. As results, pH of sodium bicarbonate solution of omeprazole was significantly higher than that of orange juice or water in first solution (6.2-7.4 vs. 1.2, p<0.005). At 150 min, concentrations of omeprazole in three diluents with granules and in sodium bicarbonate solution of tablet powder sustained significantly higher than in other solution of tablet powder (p<0.001). In conclusion, enteric-coated granules from capsule with three diluents and powder from tablet in sodium bicarbonate solution was stable during dissolution test, which would be appropriate and recommended for patient who can not swallow solid preparations.

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3-Node Relaxed-Equiribrium Hybrid-Mixed Curved Beam Elements (완화된 평형조건을 만족하는 응력함수를 가지는 3절점 혼합 곡선보요소)

  • Kim, Jin-Gon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.2
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    • pp.153-160
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    • 2008
  • In this study, we propose a new three-node hybrid-mixed curved beam element with the relaxed-equiribrium stress functions for static analysis. The proposed element considering shear deformation is based on the Hellinger-Reissner variational principle. The stress functions are carefully chosen from three important considerations: (i) all the kinematic deformation modes must be suppressed, and (ii) the spurious constraints must be removed in the limiting behaviors via the field-consistency, and (iii) the relaxed equilibrium conditions could be incorporated because it might be impossible to select the stress functions and parameters to fully satisfy both the equiribrium conditions and the suppression of kinematic deformation modes in the three-node curved beam hybrid-mixed formulation. Numerical examples confirm the superior and stable behavior of the proposed element regardless of slenderness ratio and curvature. Besides, the proposed element shows the outstanding performance in predicting the stress resultant distributions.

Absorption Enhancer and Polymer (Vitamin E TPGS and PVP K29) by Solid Dispersion Improve Dissolution and Bioavailability of Eprosartan Mesylate

  • Ahn, Jae-Soon;Kim, Kang-Min;Ko, Chan-Young;Kang, Jae-Seon
    • Bulletin of the Korean Chemical Society
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    • v.32 no.5
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    • pp.1587-1592
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    • 2011
  • The aim of the present study was to improve the solubility and bioavailability of a poorly water-soluble drug in human body, using a solid dispersion technique (hot melt extrusion). The solid dispersion was prepared by cooling the hot melt of the drug in the carrier (Vitamin E TPGS and PVP). The dissolution rate of formulation 1 from a novel formulation prepared by solid dispersion technique was equal to release of formulation 6 (40% of eprosartan mesylate is in contrast to teveten$^{(R)}$) within 60 min (Table 1). The oral bioavailability of new eprosartan mesylate tablet having vitamin E TPGS and PVP K29 was tested on rats and dogs. Of the absorption enhancer and polymer tested, vitamin E TPGS and PVP K29, resulted in the greatest increases of AUC in animals (about 2.5-fold increase in rat and dog). When eprosartan mesylate was mixed with the absorption enhancer and polymer in a ratio of 2.94:2:1, vitamin E TPGS and PVP K29 improved eprosartan mesylate bioavailability significantly compared with the conventional immediate release (IR) tablet Teveten$^{(R)}$ (formulation 7). These results show that solid dispersion using vitamin E TPGS and PVP K29 is a promising approach for developing eprosartan mesylate drug products.

Optimal scheduling for multi-product batch processes under consideration of non-zero transfer times and set-up times

  • Jung, Jae-Hak;Lee, In-Beum;Yang, Dae-Ryook;Chang, Kun-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.30-35
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    • 1993
  • Simple recurrence relations for calculating completion times of various storage polices (unlimited, intermediate storages(FIS), finite intermediate storages(FIS), no intermediate storage(NIS), zero wait(ZW) for serial multi-product multi-unit processes are suggested. Not only processing times but also transfer times, set-up (clean-up) times of units and set-up times of storages are considered. Optimal scheduling strategies with zero transfer times and zero set-up times had been developed as a mixed integer linear programniing(MILP) formulation for several intermediate storage policies. In this paper those with non-zero transfer times, non-zero set-up times of units and set-up times of storages are newly proposed as a mixed integer nonlinear programming(MINLP) formulation for various storage polices (UIS, NIS, FIS, and ZW). Several examples are tested to evaluate the robustness of this strategy and reasonable computation times.

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Effective modeling of beams with shear deformations on elastic foundation

  • Gendy, A.S.;Saleeb, A.F.
    • Structural Engineering and Mechanics
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    • v.8 no.6
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    • pp.607-622
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    • 1999
  • Being a significant mode of deformation, shear effect in addition to the other modes of stretching and bending have been considered to develop two finite element models for the analysis of beams on elastic foundation. The first beam model is developed utilizing the differential-equation approach; in which the complex variables obtained from the solution of the differential equations are used as interpolation functions for the displacement field in this beam element. A single element is sufficient to exactly represent a continuous part of a beam on Winkler foundation for cases involving end-loadings, thus providing a benchmark solution to validate the other model developed. The second beam model is developed utilizing the hybrid-mixed formulation, i.e., Hellinger-Reissner variational principle; in which both displacement and stress fields for the beam as well as the foundation are approxmated separately in order to eliminate the well-known phenomenon of shear locking, as well as the newly-identified problem of "foundation-locking" that can arise in cases involving foundations with extreme rigidities. This latter model is versatile and indented for utilization in general applications; i.e., for thin-thick beams, general loadings, and a wide variation of the underlying foundation rigidity with respect to beam stiffness. A set of numerical examples are given to demonstrate and assess the performance of the developed beam models in practical applications involving shear deformation effect.

A Variational Numerical Method of Linear Elasticity through the Extended Framework of Hamilton's Principle (확장 해밀턴 이론에 근거한 선형탄성시스템의 변분동적수치해석법)

  • Kim, Jinkyu
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.1
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    • pp.37-43
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    • 2014
  • The extended framework of Hamilton's principle provides a new rigorous weak variational formalism for a broad range of initial boundary value problems in mathematical physics and mechanics in terms of mixed formulation. Based upon such framework, a new variational numerical method of linear elasticity is provided for the classical single-degree-of-freedom dynamical systems. For the undamped system, the algorithm is symplectic with respect to the time step. For the damped system, it is shown to be accurate with good convergence characteristics.

Impact of Micellar Vehicles on in situ Intestinal Absorption Properties of Beta-Lapachone in Rats

  • Jang, Soung Baek;Kim, Dongju;Kim, Seong Yeon;Park, Changhee;Jeong, Ji Hoon;Kuh, Hyo-Jeong;Lee, Jaehwi
    • The Korean Journal of Physiology and Pharmacology
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    • v.17 no.1
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    • pp.9-13
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    • 2013
  • The aim of the present study was to examine the effect of micellar systems on the absorption of beta-lapachone (b-lap) through different intestinal segments using a single-pass rat intestinal perfusion technique. B-lap was solubilized in mixed micelles composed of phosphatidylcholine and sodium deoxycholate, and in sodium lauryl sulfate (SLS)-based conventional micelles. Both mixed micelles and SLS micelles improved the in situ permeability of b-lap in all intestinal segments tested although the mixed micellar formulation was more effective in increasing the intestinal absorption of b-lap. The permeability of b-lap was greatest in the large intestinal segments. Compared with SLS micelles, the effective permeability coefficient values measured with mixed micelles were 5- to 23-fold higher depending on the intestinal segment. Our data suggest that b-lap should be delivered to the large intestine using a mixed micellar system for improved absorption.