• Title/Summary/Keyword: Mathematical Optimization

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Optimization Studies on Water Treatment Process of Seawater Recirculation Fish Culture Systems 1. Ammonia Removal Kinetics in Seawater Using Rotating Biological Contactor Process (순환여과식 해산 어류 양식장의 수처리 공정 최적화 연구 1. 회전원판법에 의한 해수 중의 암모니아 제거 동력학)

  • CHO Young-Gae;LEE Jae-Kwan;LEE Heon-Mo;YANG Byung-Soo
    • Journal of Aquaculture
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    • v.6 no.4
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    • pp.311-321
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    • 1993
  • Ammonia accumulation is regarded as the limiting factor of the first priority in water qualities of aquatic culture systems. Nitrification efficiency and characteristics in seawater were evaluated using Rotating Biological Contactor (RBC) process as a part of the recycling water treatment facilities for marine fish culture system. Ammonia removal efficiency regarded 99.7 to $83.7\%$ at the ammonia surface loading rates of 48 to $393 mg/m^2$ -day. RBC process was able to withstand to the fluctuation of influent ammonia concentrations and loading and produced the stable effluent. The mathematical model on the fixed-film biological reactor developed by Kornegay seemed to be suitable to RBC process kinetic evaluation for the recycling water treatment of the marine fish culture system. Area capacity constant (P) and half-velocity constant (Ks) in the model were 0.188g/m^2$-day and 1.25mg/l, respectively.

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Optimized Recipe for Cookies with Dried Danggue Powder Determined by Response Surface Methodology (당귀분말을 첨가한 냉동쿠키 제조 조건의 최적화)

  • Joo, Na-Mi;Lee, Sun-Mee;Jeong, Hee-Sun
    • Journal of the East Asian Society of Dietary Life
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    • v.19 no.3
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    • pp.421-429
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    • 2009
  • This study was conducted to develop a recipe for a nutritional cookie containing Danggue powder, and to achieve an optimal ingredient composition and texture that would appeal to consumers of all ages. To reduce its content, wheat flour was partially substituted with Danggue in the formulation. Response surface methodology was used to analyze the measured results and showed 16 experimental points, including 2 replicates for the Danggue powder, brown sugar, and butter ingredients. The compositional and functional properties were measured, and these values were applied to a mathematical model. A canonical form and perturbation plot showed the influence of each ingredient on the final product. The sensory evaluation results indicated significant differences between samples for color (p<0.01), flavor (p<0.01), texture (p<0.05), and overall quality (p<0.05). As a result, the optimal ingredient levels for sensory quality were determined as 4.83 g of Danggue powder, 70.46 g of brown sugar, and 86.08 g of butter.

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Experimental Determination of Differential Fast Neutron Spectra in a Reactor using Threshold Detectors

  • Kim, Dong-Hoon
    • Nuclear Engineering and Technology
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    • v.4 no.4
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    • pp.280-293
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    • 1972
  • The differential fast neutron spectra above 0.5 Mev at particular spatial positions in tile reactor(TRIGA MARK-II) core has been determined experimentally using several threshold activation detectors. The series expansion technique utilizing the concept of least squares optimization was used to obtain an approximate solution to the set of integral equations which are defined by the experimentally determined activation data. The influence of use of different weighting functions in the solution was analyzed in each measurement. To carry out the necessary mathematical calculations, a computer code for the UNIVAC 1106 digital computer has been prepared. Good agreement was achieved between the differential fast neutron spectra determined in this work and the computed flux determined independently using space-independent multigroup transport theory.

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Development of Wastewater Treatment Process Simulators Based on Artificial Neural Network and Mass Balance Models (인공신경망 및 물질수지 모델을 활용한 하수처리 프로세스 시뮬레이터 구축)

  • Kim, Jungruyl;Lee, Jaehyun;Oh, Jeill
    • Journal of Korean Society of Water and Wastewater
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    • v.29 no.3
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    • pp.427-436
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    • 2015
  • Developing two process models to simulate wastewater treatment process is needed to draw a comparison between measured BOD data and estimated process model data: a mathematical model based on the process mass-balance and an ANN (artificial neural network) model. Those two types of simulator can fit well in terms of effluent BOD data, which models are formulated based on the distinctive five parameters: influent flow rate, effluent flow rate, influent BOD concentration, biomass concentration, and returned sludge percentage. The structuralized mass-balance model and ANN modeI with seasonal periods can estimate data set more precisely, and changing optimization algorithm for the penalty could be a useful option to tune up the process behavior estimations. An complex model such as ANN model coupled with mass-balance equation will be required to simulate process dynamics more accurately.

Optimal Tuning of Biaxial Servomechanisms Using a Cross-coupled Controller (상호결합제어기를 이용한 2축 서보메커니즘의 최적튜닝)

  • Bae Ho-Kyu;Chung Sung-Chong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.10 s.253
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    • pp.1209-1218
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    • 2006
  • Precision servomechanisms are widely used in machine tool, semiconductor and flat panel display industries. It is important to improve contouring accuracy in high-precision servomechanisms. In order to improve the contouring accuracy, cross-coupled control systems have been proposed. However, it is very difficult to select the controller parameters because cross-coupled control systems are multivariable, nonlinear and time-varying systems. In this paper, in order to improve contouring accuracy of a biaxial servomechanism, a cross-coupled controller is adopted and an optimal tuning procedure based on an integrated design concept is proposed. Strict mathematical modeling and identification process of a servomechanism are performed. An optimal tuning problem is formulated as a nonlinear constrained optimization problem including the relevant controller parameters of the servomechanism. The objective of the optimal tuning procedure is to minimize both the contour error and the settling time while satisfying constraints such as the relative stability and maximum overshoot conditions, etc. The effectiveness of the proposed optimal tuning procedure is verified through experiments.

Joint Replenishment Problem for Single Buyer and Single Supplier System Having the Stochastic Demands (확률적 수요를 갖는 단일구매자와 단일공급자 시스템의 다품목 통합발주문제)

  • Jeong, Won-Chan;Kim, Jong-Soo
    • Journal of the Korean Operations Research and Management Science Society
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    • v.36 no.3
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    • pp.91-105
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    • 2011
  • In this paper, we analyze a logistic system involving a supplier who produces and delivers multiple types of items and a buyer who receives and sells the products to end customers. The buyer controls the inventory level by replenishing each product item up to a given order-up-to-level to cope with stochastic demand of end customers. In response to the buyer's order, the supplier produces or outsources the ordered item and delivers them at the start of each period. For the system described above, a mathematical model for a single type of item was developed from the buyer's perspective. Based on the model, an efficient method to find the cycle length and safety factor which correspond to a local minimum solution is proposed. This single product model was extended to cover a multiple item situation. From the model, algorithms to decide the base cycle length and order interval of each item were proposed. The results of the computational experiment show that the algorithms were able to determine the global optimum solution for all tested cases within a reasonable amount of time.

Optimal Pricing Design Based on Preference Values of Purchasing Restrictions for Tour Products (여행상품 구매조건의 선호가치에 따른 최적 여행상품 가격설계 연구)

  • Hwang, Myung Sun;Kim, Su Young;Yoon, Moon Gil
    • Korean Management Science Review
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    • v.31 no.1
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    • pp.27-40
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    • 2014
  • Tour products have been recognized as a perishable asset. For tour operation companies (TOCs), improving profitability is a core decision problem for their business. Since package tour products, typical products of TOCs, are perishable after the tour was departed, TOCs have been tried to increase their sales before the departure date with various marketing strategies including price discounts. The pricing problem for perishable assets have been studied in Revenue Management for a long time. However, it is hard to find a research on pricing decisions for tour products. In this paper, we focus on a pricing problem for tour products. In particular, we will consider the pricing scheme with customer preference values on purchasing conditions. With conjoint analysis, we can use the part-worth value as a preference value for each level of purchasing conditions. To construct various discount prices, we use an enumeration method and suggest a mathematical optimization model. With experimental analysis for a sample tour package, we will show that our pricing process is very helpful for designing customer-oriented pricing decision.

A Path Planning of Mobile Agents By Ant Colony Optimization (개미집단 최적화에 의한 이동 에이전트의 경로 계획)

  • Kang, Jin-Shig
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.1
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    • pp.7-13
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    • 2008
  • This paper suggests a Path-planning algorithm for mobile agents. While there are a lot of studies on the path-planning for mobile agents, mathematical modeling of complex environment which constrained by spatio-temporally is very difficult and it is impossible to obtain the optimal solutions. In this paper, an optimal path-planning algorithm based on the graphic technique is presented. The working environment is divided into two areas, the one is free movable area and the other is not permissible area in which there exist obstacles and spatio-temporally constrained, and an optimal solution is obtained by using a new algorithm which is based on the well known ACO algorithm.

Three-dimensional structural design based on cellular automata simulation

  • Kita, E.;Saito, H.;Tamaki, T.;Shimizu, H.;Xie, Y.M.
    • Structural Engineering and Mechanics
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    • v.23 no.1
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    • pp.29-42
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    • 2006
  • This paper describes the design scheme of the three-dimensional structures based on the concept of the cellular automata simulation. The cellular automata simulation is performed according to the local rule. In this paper, the local rule is derived in the mathematical formulation from the optimization problem. The cell density is taken as the design variable. Two objective functions are defined for reducing the total weight of the structure and obtaining the fully stressed structure. The constraint condition is defined for defining the local rule. The penalty function is defined from the objective functions and the constraint condition. Minimization of the penalty function with respect to the design parameter leads to the local rule. The derived rule is applied to the design of the three-dimensional structure first. The final structure can be obtained successfully. However, the computational cost is expensive. So, in order to reduce the computational cost, the material parameters $c_1$ and $c_2$ and the value of the cell rejection criterion (CRC) are changed. The results show that the computational cost depends on the parameters and the CRC value.

Study on the tree-mimic array of solar cell modules (수목형상에 따른 태양전지 모듈의 배열 연구)

  • Kim, Ki-Hyun;Yun, Rin
    • Journal of the Korean Solar Energy Society
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    • v.31 no.6
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    • pp.32-39
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    • 2011
  • This study is about the installation of the solar cell modules. The solar cell modules are built by the tree-mimic structure, and the performance is compared with that of the flat-plate type solar cell module installation. The mathematical tree model, which was suggested by Fisher and Honda, is utilized to determine the location of the solar cell modules for the tree-mimic type. The experiment shows that the generated electric power of the flat-plate type is higher than that of the tree-mimic type by 30% for one month of July. This lower performance for the tree-mimic type comes from the shading effects among the solar cell modules. The theoretical calculation for the absorbed solar radiation on the two types of solar cell installation shows that the tree-mimic type is higher than the flat-plate type by 8.5%. The shading area for the tree-mimic model is calculated with time by using the 3D-CAD, which will be utilized for the optimization of the tree-mimic model in the future.