• Journal of Industrial Technology
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• v.22 no.A
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• pp.83-87
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• 2002

Many industrial products such as paints, ink and adhesives are composed of the ingredients of a mixture. In mixture experiments, the characteristics of quality(response) depends only on the proportions of the ingredients and does not depend on the total amount of the mixture. This article discusses the constrained mixture experimental design, the data analysis, and the optimum formulation of ingredients based on the two quality characteristics - taste and flavor. It IS shown that efficient designs can be constructed from D-optimal criterion. Special cubic models were selected as the final mixture response surfaces for both reponses. The desirability function was used for the optimization of the two responses.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.21 no.4
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• pp.177-182
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• 2021

Generally, the linear programming (LP) with O(n⁴) time complexity is applied to mixture optimization problem that can be produce the given ingredients grade product with minimum cost from mixture of various raw materials. This paper suggests heuristic algorithm with O(n log n) time complexity to obtain the solution of this problem. The proposed algorithm meets the content range of the components required by the alloy steel plate while obtaining the minimum raw material cost, decides the quantity of raw material that is satisfied with ingredients grade for ascending order of unit cost. Although the proposed algorithm applies simple decision technique with O(n log n) time complexity, it can be obtains same solution as or more than optimization technique of linear programing.

• Journal of Korean Society for Quality Management
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• v.38 no.3
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• pp.413-424
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• 2010

Mixture experiments involve combining ingredients or components of a mixture and the response is a function of the proportions of ingredients which is independent of the total amount of a mixture. The purpose of the mixture experiments is to find the optimum blending at which responses such as the flavor and acceptability are maximized. We assume the quadratic or special cubic canonical polynomial model over the experimental region for a mixture since the current mixture is assumed to be located in the neighborhood of the optimal mixture. The cost of the mixture is proportional to the cost of the ingredients of the mixture and is the linear function of the proportions of the ingredients. In this paper, we propose mixture response surface methods to develop a mixture such that the cost is down more than ten percent as well as mean responses are as good as those from the current mixture. The proposed methods are illustrated with the well known the flare experimental data described by McLean and Anderson(1966).

• Journal of the Korean Society of Food Science and Nutrition
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• v.28 no.3
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• pp.559-565
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• 1999

This study investigated the effects of tangsuyuk batter ingredients on sensory. The optimal condition was evaluated by using RSM(response surface methodology). Five ingredients(wheat flour, corn starch, sodium bicarbonate, alum, water) were used as independent variables, coding 36 experimental trials. The resulting sensory scores(flavor, fracture, color, overall acceptability) were used as dependent variables. Each dependent variable showed significant differences(p<0.05). When the amount of sodium bicarbonate was increased, the sensory scores for flavor and fracture also increased. Sensory scores for color also increased when the amount of sodium bicarbonate was increased and the amount of alum decreased. Overall acceptability scored higher when the amount of sodium bicarbonate was increased. This is therefore indicates that sodium bicarbonate is likely a very important ingredient in the batter. The effects of each ingredient on sensory were thus investigated. The optimum ratios of wheat flour, corn starch, sodium bicarbonate, alum and water were predicted to be 27.55%, 19.34%, 0.27%, 0.19% and 52.65% respectively.

• Korean journal of food and cookery science
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• v.23 no.4 s.100
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• pp.551-560
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• 2007

This study was performed to determine the optimum ratio of ingredients in the Sulgidduk with barley(Hordeum vulgare L.) sprout powder. A mathematical analytical tool was employed for optimization of the typical ingredients. The canonical form and trace plot showed the affect of each ingredient in the mixture against the final product. Mixture design showed 14 experimental points, including 4 replicates for three independent variables. The three independent variables selected for the experiment were: water($15{\sim}22%$), barley sprout powder($1{\sim}4%$), and sugar($12{\sim}19%$). The optimum responses variables such as color values(L, a, and b), instrumental texture parameters(hardness, gumminess, and chewiness), and sensory characteristics(appearance, color, smell, taste, softness, moistness, and overall acceptability) were evaluated. The Hunter colorimetric L- and a-values of the Sulgidduk decreased with an increasing amount of barley sprout powder. As more barley sprout powder was added, a higher b-value resulted. Textural hardness, gumminess, and chewiness were lowered by the addition of barley sprout powder. The optimum formulation obtained by both numerical and graphical methods showed similar results. The representative optimal ingredient ratio commonly obtained by both methods were: 18.2% water, 2.0% barley sprout powder, and 14.8% sugar.

• Culinary science and hospitality research
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• v.23 no.7
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• pp.20-30
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• 2017

This study was conducted for the optimization of ingredients in salad dressing using Hwangdo peach (Prunus persica L. Batsch). The experiment was designed according to the D-optimal design of mixture design, which included 14 experimental points with 4 replicates for three independent variables (olive oil 40~65%, peach puree 27~50%, vinegar 8~20%). The linear regression models for pH, viscosity and color value and the quadratic regression models for emulsion stability, all sensory evaluation of the products were proven to be valid by the F-test for the overall significance of the regression model at a 5% level. Viscosity and pH of the products increased as olive oil content. Color value, viscosity and pH of the products increased as peach puree content. pH, viscosity, redness, and yellowness of the products decreased as vinegar content. Sensory evaluation result of the products showed that general preference for the products were increasingly affected by the increases in contents then decreased as they exceeded the optimum levels. In consequence, according to result from the first stage of the experiment, the optimum ingredients ratios of the raw materials were set in olive oil 52.43%, peach puree 35.07%, and vinegar 13.91% for ingredients of apricot dressing. These results provided the possibility that peach can be applied to the preparation of a dressing, and thereby present baseline data for the development of new dressings. This is also presumed to meet demands of customers who are always in pursuit of new products.

• Journal of the Korean Society of Food Science and Nutrition
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• v.28 no.6
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• pp.1260-1268
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• 1999

Physical properties were investigated in tangsuyuk batter containing different amounts of ingredients, such as wheat flour, corn starch, sodium bicarbonate, alum and water. For the response surface methodology (RSM) central composite design was used to determine the optimal ingredient ratios for viscosity, color properties(lightness, redness, yellowness, color differences) and cutting forces. There were significant differences(p<0.05) between the different batter mixtures. The lightness(L) of batter was in proportion to the increased amount of wheat flour and corn starch. Higher redness was recorded with increasing corn starch. Higher yellowness was observed with increasing wheat flour and sodium bicarbonate. Color differences were higher with increasing wheat flour, corn starch, and/or alum and decreasing water. Cutting forces were linearly increased with increasing sodium bicarbonate. From these results, it is possible to monitor the effects of ingredients on physical properties of tangsuyuk batter, and to predict their optimal ratios.

• Food Science of Animal Resources
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• v.38 no.3
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• pp.580-592
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• 2018

The formulation of an oil/water (o/w) emulsion made up of a mixture of perilla oil and canola oil (30/70 w/w) was optimized using a response surface methodology to find a replacement for animal fat in an emulsion-type meat product. A 12 run Plackett-Burman design (PBD) was applied to screen the effect of potential ingredients in the (o/w) emulsion, including polyglycerol polyricinoleate (PGPR), fish gelatin, soy protein isolate (SPI), sodium caseinate, carrageenan (CR), inulin (IN) and sodium tripolyphosphate. The PBD showed that SPI, CR and IN showed promise but required further optimization, and other ingredients did not affect the technological properties of the (o/w) emulsion. The PBD also showed that PGPR played a critical role in inhibiting an emulsion break. The level of PGPR was then fixed at 3.2% (w/w total emulsion) for an optimization study. A central composite design (CCD) was applied to optimize the addition levels of SPI, CR or IN in an (o/w) emulsion and to observe their effects on emulsion stability, cooking loss and the textural properties of a cooked meat emulsion. Significant interactions between SPI and CR increased the cooking loss in the meat emulsion. In contrast, IN showed interactions with SPI leading to a reduction in cooking loss. Thus, CR was also removed from the formulation. After optimization, the level of SPI (4.48% w/w) and IN (14% w/w) was validated, leading to a perilla-canola oil (o/w) emulsion with the ability to replace animal fat in an emulsion-type meat products.

• Korean journal of food and cookery science
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• v.19 no.4
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• pp.429-438
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• 2003

The optimization of Omija-pyun as a traditional dessert, with the most European taste and year round availability, was studied with regard to its texture. The response surface methodology was used to determine the optimal composition of Omija-pyun as a European style dessert. The texture, including the springiness, gumminess, cohesiveness, adhesiveness, hardness and chewiness, was measured using TPA parameters (TA-HD Texture Analyser, stable micro system, UK). The texture of Omija-pyun was influenced by pectin and sucrose to the first linear order. The properties of springiness and adhesiveness were influenced by pectin x pectin to the second quadratic order. No cross product effects between ingredients were found from the analysis. The maximum springiness was obtained with 42g of pectin, 450g of sucrose, 110g of glucose syrup and 4.8g of tartaric acid. The maximum chewiness was with 55g of pectin, 330g of sucrose, 140g of glucose syrup and 5.7g of tartaric acid. The maximum adhesiveness was achieved using 17g of pectin and 400g of sucrose. The gumminess and hardness increased with increasing pectin content, and a cross product effect was observed(Eds note: you said earlier that no cross product effects between the ingredients was found\ulcorner) between sucrose and glucose syrup.

• Natural Product Sciences
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• v.25 no.1
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• pp.44-48
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• 2019

Nelumbo nucifera Gaertn. (Nymphaeaceae) is commonly called lotus and its leaves are widely been used as functional ingredients due to its antioxidant activity. For maximum efficacy, optimized extraction condition was established using response surface methodology. The high F-values, low p-values and insignificant p-value for lack-of-fit supported the fitness of the model and yielded the second-order polynomial regression for the antioxidant activity. The optimized extract was obtained by the extraction of 1 g of lotus leaves with 40 mL of 50% MeOH at $10.0^{\circ}C$, which exerted 70.1% antioxidant activity. Close correlation between phenolic content and antioxidant activity suggested phenolic compounds as active constituents of lotus leaves. In addition, comparison of different parts of lotus demonstrated the most potent antioxidant activity of flowers, followed by leaves and roots. Taken together, these results provide useful information about lotus leaves for the development as antioxidant ingredients. In addition, flowers and roots as well as leaves are suggested as good sources for antioxidant activity.