• Journal of applied mathematics & informatics
• /
• 제42권5호
• /
• pp.1195-1210
• /
• 2024

This research aims to determine an optimal (best) solution for transporting the logistics at a minimum cost from various sources to various destinations. We proposed a new algorithm for the initial basic feasible solution (IBFS). Developing a new IBFS is the first step towards finding the optimal solution. A new approach for the initial basic feasible solution that reduces iterations and produces the best answer in the initial process of the transportation issue. Different IBFS approaches have been generated in the literature review. Some statistical fundamentals, such as normal distribution and the root mean square technique, are employed to find new IBFS. A TP is transformed into a normal distribution, and penalties are determined using the root mean square method. Excel Solver is used to calculate normal distribution values. The second step involves using a stepping-stone approach to compute the optimum solution. The results of our study were calculated using numerical examples and contrasted with a few other methodologies, such as Vogel's approximation, the Continuous Allocation Method (CAM), the Supply Demand Repair Method (SDRM), and the Karagul-Sahin Approximation Method (KSAM). The conclusion of our proposed method gives more accurate results than the existing approach.

• 설비공학논문집
• /
• 제22권7호
• /
• pp.468-473
• /
• 2010

This paper deals with approximate integral solutions to the one-dimensional model describing the charging process of stratified thermal storage tanks. Temperature is assumed to be the form of Fermi-Dirac distribution function, which can be separated to two sets of cubic polynomials for each hot and cold side of thermal boundary layers. Proposed approximate integral solutions are compared to the previous works of the approximate analytic solutions and show reasonable agreement. The approach, however, has benefits in mathematical difficulties, complicated solution form and unstable convergence of series solution founded in the previous analytic solutions. Solutions for a semi-infinite region, which have simple closed form solutions, give close agreement to those for a finite region. Thermocline thickness is obtained in closed form and shows proportional behavior to the square root of time and inverse proportional behavior to the square root of flow rate.

• Communications for Statistical Applications and Methods
• /
• 제11권2호
• /
• pp.323-327
• /
• 2004

In this paper, we investigate the limiting distribution of the Ljung-Box test statistic in the unit root AR models with ARCH errors. We show that the limiting distribution is approximately chi-square distribution with the degrees of freedom only depending on the number of autocorrelation lags appearing in the test. Some simulation results are provided for illustration.

• 대한전기학회논문지:전력기술부문A
• /
• 제52권3호
• /
• pp.183-192
• /
• 2003

This paper presents the real-time implemented distance relay algorithm which the fault distance is estimated with only local terminal information. When a single-phase-to-earth fault on a two-parallel transmission line occurs, the reach accuracy of distance relay is considerably affected by the unknown variables which are fault resistance, fault current at the fault point and zero- sequence current of sound line The zero-sequence current of sound line is estimated by using the zero sequence voltage which is measured by relaying location Also. the fault resistance is removed at the Process of numerical formula expansion. Lastly, the fault current through a fault point is expressed as a function of the zero-sequence current of fault line, zero-sequence current of sound line, and line, and fault distance. Therefore, the fault phase voltage can be expressed as the quadratic equation of the fault distance. The solution of this Quadratic equation is obtained by using a coefficient of the modified quadratic equation instead of using the square root solution method. After tile accurate fault distance is estimated. the mote accurate impedance is measured by using such an information.

• 한국정밀공학회지
• /
• 제20권3호
• /
• pp.82-88
• /
• 2003

The nondestructive internal quality evaluation of agricultural products has been strongly required from the needs for individual inspection. Recently, the ultrasonic wave has been considered as a solution fur this problem, and an ultrasonic system was constructed for the ultrasonic NDE of fruits and vegetables in our previous work. In this paper, the practical applicability of our ultrasonic system is tested fur the inspection of internal defects (central cavity) in Atlantic potato. Sound speed and RMS of transmitted ultrasonic wave signal were measured and classification algorithm using 2 dimensional stochastic analysis. was presented. Experimental results showed greater value of sound speed and RMS (root mean square) of transmitted signal in normal samples than in abnormal samples with cavity. Also a stochastic method to distinguish normal and abnormal showed fault detection rate less than 5%.

• 보존과학연구
• /
• 통권17호
• /
• pp.1-19
• /
• 1996

Desalting methods for chloride ions from the excavated iron objects were studied. These methods were compared with room temperature and heating condition of treating solution. During the Desalting treatments the $Cl^-$concentration of the solution were measured regularly and the plotted for $Cl^-$concentrations the square root of time, heating methods showed that the $Cl^-$ ions are more extracted. For the desalting treatments these plots were found to be flattening line, it was showed the changing second solution. Also, the changing solution in the room temperation detected less $Cl^-$ ions of heating treatment solution. As the examination for the relative humidity has compared for desalting objects during 8 days, it was showed a re-corroded appearance of R.H90%. As it did not detected a $Cl^-$ ions of re-corroded section, these phenomena were showed the naturally occuring corrosion of the objects in the high relative humidity.

• 한국결정성장학회지
• /
• 제13권5호
• /
• pp.217-221
• /
• 2003

본 연구에서는 섬유의 표면 거칠기를 조사하기 위하여 tetraethyl orthosilicate, 에탄올, 증류수 및 염산의 혼합 용액을 이용하여 실리케이트 섬유를 제조하였다. $80^{\circ}C$에서 증발시킨 점성용액으로부터 섬유를 인상하여 제조하였으며, 건조된 겔 섬유는 건조공기를 흘려보내며(flow rate = ∼200 m1/min) $1000^{\circ}C$, $1100^{\circ}C$, $1200^{\circ}C$ 및 $1300^{\circ}C$로 60분간 최종열처리를 행하였다 열처리된 섬유의 결정화도는 X-선 회절 $\theta$-2$\theta$ 분석을 통하여 행하였으며, 표면 특성을 조사하기 위하여 전계 방사 주사 전자현미경과 원자간력 현미경을 이용하였다. $1300^{\circ}C$로 열처리된 실리케이트 섬유는 높은 root mean square 거칠기 값을 보였으며, 비교적 불균질한 표면 구조를 가지고 있었다.

• 한국식품영양과학회지
• /
• 제34권9호
• /
• pp.1477-1484
• /
• 2005

단무지 조미액 성분이 단무지 품질에 미치는 영향 조사와 단무지 조미액의 pH($X_1$), 열처리 조건($X_2$)의 영향 및 저장온도와 기간별 단무지의 색도 및 조직감 변화를 조사하였다. 개별 단무지 조미액 성분이 단무지의 색도 및 경도 변화에 미치는 영향의 경우, 증류수 침지군을 기준으로 AD9(acetic acid) 침지군을 제외하고 AD3(polyphosphate), AD5(citric acid), AD2(malic acid)은 색도 변화와 단무지 연화를 지연시켰다. 반면에, AD1(potasium sorbate), AD7(succinic acid), AD8(MSG), AD6(saccharin) 처리구는 색도 변화와 경도 감소를 가속화시켰다. 또 단무지 조미액과 열처 리 조건의 영향은 중심 합성 계획 (central composite design)과 반응표면 분석법(response surface analysis)을 이용하여 분석하였다. 그 결과 독립 변수와 종속 변수의 상관 정도를 나타내는 $R^2$값이 종속변수 경도 값을 제외하고 0.8이상이었으며, 특히황색도를 나타내는 b값은 0.899을 나타내었다. 각 개별 독립변수와 교차 분석 결과 독립 변수인 $X_1$(pH)과 $X_2$(가열시간)모두 단무지의 색도와 조직감 변화에 영향을 끼쳤다. 또 저장 온도의 경우, $40^{\circ}C$에서 저장한 단무지의 색도가 다른 온도에 저장한 시료에 비하여 저장기간이 증가함에 따라 급속한 색도 변화와 연화가 진행되었다.

• 한국세라믹학회지
• /
• 제44권6호
• /
• pp.313-318
• /
• 2007

ITO (Indium-tin oxide) thin films have been prepared by a sol-gel spinning coating method and fired and annealed in the temperature range of $450-600^{\circ}C$. The XRD patterns of the films indicated the main peak of (222) plane and showed higher crystallinity with increasing an annealing temperature. The surface of the ITO thin films were treated with 0.1 N HCl 20% solution at room temperature. The effects of surface treatment on electrical properties and surface morphologies of the ITO films were investigated with the results of sheet resistance and FE-SEM, AFM images. The samples, subsequently treated with acidic solution for 40 sec showed the sheet resistance of $0.982\;k{\Omega}/square$. The surface treatment using acidic solution diminished the RMS (root mean square) value and the residual carbon content of the ITO films. It seemed that the acid-cleaning of the ITO thin films lead to the decrease of surface roughness and sheet resistance.

• 대한기계학회논문집
• /
• 제18권4호
• /
• pp.997-1008
• /
• 1994

Heat transfer by laminar oscillating flow in a circular pipe has been studied analytically. The general solution with respect to the arbitrary wall boundary condition is obtained by superposing the fluid temperatures with the sinusoidal wall temperature distributions. The fulid temperature distributions are two dimensional, but uniform flow assumption is used to simplify the velocity distribution. The heat transfer characteristics in the thermally developing regions are analyzed by applying the general solution to the two cases of thermal boundary conditions in which the wall temperature and wall heat flux distributions have a square-wave form, respectively. The results show that the length of the thermally developing region becomes larger in proportion to the oscillation frequency at slow oscillation and eventually approaches to the value comparable to the swept distance as the frequency increases. The time and cross-section averaged Nusselt number in the developing region is inversely proportional to the square root of the distance from the position where the wall boundary condition is changed suddenly. In the developed region, Nusselt number is only determined by the oscillation frequency.