• Title/Summary/Keyword: Set product

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A FINITE ADDITIVE SET OF IDEMPOTENTS IN RINGS

  • Han, Juncheol;Park, Sangwon
    • Korean Journal of Mathematics
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    • v.21 no.4
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    • pp.463-471
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    • 2013
  • Let R be a ring with identity 1, $I(R){\neq}\{0\}$ be the set of all nonunit idempotents in R, and M(R) be the set of all primitive idempotents and 0 of R. We say that I(R) is additive if for all e, $f{\in}I(R)$ ($e{\neq}f$), $e+f{\in}I(R)$. In this paper, the following are shown: (1) I(R) is a finite additive set if and only if $M(R){\backslash}\{0\}$ is a complete set of primitive central idempotents, char(R) = 2 and every nonzero idempotent of R can be expressed as a sum of orthogonal primitive idempotents of R; (2) for a regular ring R such that I(R) is a finite additive set, if the multiplicative group of all units of R is abelian (resp. cyclic), then R is a commutative ring (resp. R is a finite direct product of finite field).

Development of an Enclosed Die Forging Die Set and its Application to Precision Forging (폐쇄단조 다이세트 개발 및 정밀단조 응용)

  • Jun B. Y.;Park R. H.;Choi S. H.;Sung J. Y.;Kim C. G.;Jeong S. H.;Joun M. S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2005.10a
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    • pp.143-147
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    • 2005
  • In this study, a die set for enclosed die forging is developed and it is applied to precision forging of bevel gears and spiders. The enclosed die forging die set is introduced in detail together with the enclosed die forging. A target mechanical press and a model product are selected and various engineering technologies are applied for detail design of the enclosed die forging die set. Several precision forgings are manufactured by the developed die set. The enclosed die forging die set as well as the precision forging processes are developed under intensive industry-university cooperation.

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A study on the scheduling of multiple products production through a single facility (단일시설에 의한 다품종소량생산의 생산계획에 관한 연구)

  • Kwak, Soo-Il;Lee, Kwang-Soo;Won, Young-Jong
    • Journal of the Korean Operations Research and Management Science Society
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    • v.1 no.1
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    • pp.151-170
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    • 1976
  • There are many cases of production processes which intermittently produce several different kinds of products for stock through one set of physical facility. In this case, an important question is what size of production run should be prduced once we do set-up for a product in order to minimize the total cost, that is, the sum of the set-up, carrying, and stock-out costs. This problem is used to be called scheduling of multiple products through a single facility in the production management field. Despite the very common occurrence of this type of production process, no one has yet devised a method for determining the optimal production schedule. The purpose of this study is to develop quantitative analytical models which can be used practically and give us rational production schedules. The study is to show improved models with application to a can-manufacturing plant. In this thesis the economic production quantity (EPQ) model was used as a basic model to develop quantitative analytical models for this scheduling problem and two cases, one with stock-out cost, the other without stock-out cost, were taken into consideration. The first analytical model was developed for the scheduling of products through a single facility. In this model we calculate No, the optimal number of production runs per year, minimizing the total annual cost above all. Next we calculate No$_{i}$ is significantly different from No, some manipulation of the schedule can be made by trial and error in order to try to fit the product into the basic (No schedule either more or less frequently as dictated by) No$_{i}$, But this trial and error schedule is thought of inefficient. The second analytical model was developed by reinterpretation by reinterpretation of the calculating process of the economic production quantity model. In this model we obtained two relationships, one of which is the relationship between optimal number of set-ups for the ith item and optimal total number of set-ups, the other is the relationship between optimal average inventory investment for the ith item and optimal total average inventory investment. From these relationships we can determine how much average inventory investment per year would be required if a rational policy based on m No set-ups per year for m products were followed and, alternatively, how many set-ups per year would be required if a rational policy were followed which required an established total average inventory inventory investment. We also learned the relationship between the number of set-ups and the average inventory investment takes the form of a hyperbola. But, there is no reason to say that the first analytical model is superior to the second analytical model. It can be said that the first model is useful for a basic production schedule. On the other hand, the second model is efficient to get an improved production schedule, in a sense of reducing the total cost. Another merit of the second model is that, unlike the first model where we have to know all the inventory costs for each product, we can obtain an improved production schedule with unknown inventory costs. The application of these quantitative analytical models to PoHang can-manufacturing plants shows this point.int.

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Database Modeling for Environmental Product Life Cycle Management (환경영향을 고려한 제품 전 주기 관리 데이터 모델링)

  • 황오현;강무진
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.358-362
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    • 2001
  • Environmental Product Life Cycle Management is an activity for defining and describing the product, process of activity environmentally. The activity involves the full life cycle stages of the product; evaluating environmental releases at each stage, determining the aggregate and specific impacts of the releases, developing opportunities to effect environmental improvements. This paper presents a methodological approach for database modeling to build Product Life Cycle Management system and show a set of database modeling. Additionally, a key issue for database is the quality of the provided information.

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Impact of Image Type and Brand Familiarity on the Effectiveness of Bundling

  • Sungmi Lee
    • International Journal of Internet, Broadcasting and Communication
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    • v.15 no.4
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    • pp.100-106
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    • 2023
  • Bundling has become a general promotion strategy in mobile shopping context. Previous research on bundling has mostly focused on bundle frame or price frame. Even though consumers are searching and purchasing the product in mobile channels, little research has investigated the effects of bundling in mobile shopping. The objectives of this study is to examine how different product image of bundle affects consumer's perception and purchase intention differently, and how brand familiarity moderate this influence. A sample of 140 subjects participated in a within-subjects experiment. A bundling composed of two different product image (a single product vs. bundled products) was evaluated by individuals. Brand familiarity (familiar brand vs. unfamiliar brand) were manipulated to test a set of hypotheses. We found that the effectiveness of bundling does not depend on the type of product image and brand familiarity. The findings of our study provide some implications for researchers and marketers. Although there have been studies on the effects of bundle framing on consumer behavior, we suggest new insights regarding bundling based on product image and mobile shopping context.

THE SPHERICAL NON-COMMUTATIVE TORI

  • Boo, Deok-Hoon;Oh, Sei-Qwon;Park, Chun-Gil
    • Journal of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.331-340
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    • 1998
  • We define the spherical non-commutative torus $L_{\omega}$/ as the crossed product obtained by an iteration of l crossed products by actions of, the first action on C( $S^{2n+l}$). Assume the fibres are isomorphic to the tensor product of a completely irrational non-commutative torus $A_{p}$ with a matrix algebra $M_{m}$ ( ) (m > 1). We prove that $L_{\omega}$/ $M_{p}$ (C) is not isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{mp}$ (C), and that the tensor product of $L_{\omega}$/ with a UHF-algebra $M_{p{\infty}}$ of type $p^{\infty}$ is isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{m}$ (C) $M_{p{\infty}}$ if and only if the set of prime factors of m is a subset of the set of prime factors of p. Furthermore, it is shown that the tensor product of $L_{\omega}$/, with the C*-algebra K(H) of compact operators on a separable Hilbert space H is not isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{m}$ (C) K(H) if Prim( $L_{\omega}$/) is homeomorphic to $L^{k}$ (n)$\times$ $T^{l'}$ for k and l' non-negative integers (k > 1), where $L^{k}$ (n) is the lens space.$T^{l'}$ for k and l' non-negative integers (k > 1), where $L^{k}$ (n) is the lens space.e.

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A Modified Sum-Product Algorithm for Error Floor Reduction in LDPC Codes (저밀도 패리티 검사부호에서 오류마루 감소를 위한 수정 합-곱 알고리즘)

  • Yu, Seog-Kun;Kang, Seog-Geun;Joo, Eon-Kyeong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.5C
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    • pp.423-431
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    • 2010
  • In this paper, a modified sum-product algorithm to correct bit errors captured within the trapping sets, which are produced in decoding of low-density parity-check (LDPC) codes, is proposed. Unlike the original sum-product algorithm, the proposed decoding method consists of two stages. Whether the main cause of decoding failure is the trapping sets or not is determined at the first stage. And the bit errors within the trapping sets are corrected at the second stage. In the modified algorithm, the set of failed check nodes and the transition patterns of hard-decision bits are exploited to search variable nodes in the trapping sets. After inverting information of the variable nodes, the sum-product algorithm is carried out to correct the bit errors. As a result of simulation, the proposed algorithm shows continuously improved error performance with increase in the signal-to-noise ratio. It is, therefore, considered that the modified sum-product algorithm significantly reduces or possibly eliminates the error floor in LDPC codes.

A study on the robust design for quality improvement of Wet Etchant manufacturing process (식각액(Wet Etchant)제조공정의 품질향상을 위한 강건설계에 대한 연구)

  • Choi, Yong-Seok;Hwang, Deock-Hyeong;Cho, Kwang-Hee;Oh, Sun-Il;Kang, Kyung-Sik
    • Journal of the Korea Safety Management & Science
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    • v.14 no.1
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    • pp.155-165
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    • 2012
  • This essay talks about research of robust design for quality improvement of production procedure of Wet Etchant. It suggested the optimum design method in consideration of specific capability value that is the way to maximize the quality of product in the production system by using Daguchi parameter design method while finding factors affecting product quality with analysis of production system of product A from producer D. Also, it set long term of 6months as noise factor and let it to be the robust design that can find the optimum condition of control factor that is dull to the changes of each month, that is the change in noise factor. The control factor which affects the product quality is decided as combination method, temperature of raw material, combination time and as there are too many possibilities for combination methods, we performed 4 methods first based on previous research data then derived three ways with product that passed SPEC and set as the factor. As a result of application of optimum production procedure suggested in this essay to the actual production process with its standardization, there was a effect of drop of more than 10particles in comparison to the particle number of previous product and also it brought the effect that resulted the stable number of particle of under 30 that is what the client company suggested.

Initial Blank Optimization Design of Square Can Multistage Drawing considering Formability and Product Shape (사각형 캔 드로잉 다단 공정에서 성형성과 제품형상을 동시에 고려한 초기 블랭크 형상 최적 설계)

  • Park, Sang-Min;Kim, Dong Kyu;Hong, Seokmoo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.3
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    • pp.320-326
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    • 2017
  • Multistage deep-drawing technology is used widely in the production of mobile phone battery cases to improve productivity and economy. To ensure adequate capacity and rigidity, such cases are fabricated as a rectangular cup with a high slender ratio. The multistage deep-drawing of a rectangular cup entails a high slender ratio, and the heights of the product sides may be non-uniform because of the complicated deformation mechanisms. This causes problems in product assembly that affects the surface quality of the case. This study examined a blank shape that minimizes the height variations of the product to resolve the aforementioned problems. Optimization design and analysis were performed to identify the shape that yields the least variation. The long and short sides of an oval blank were set as the design variables. The objective function was set to yield the lowest height difference, and the thickness reduction rate of the product was set to the target range. In addition, the height of the final shape was set as a constraint. The height difference was minimized successfully using the optimized design. The design process of the initial blank for all rectangular shapes can be automated in the future.

Directions and Suggestions for Consumer Safety Policy in Living (생활속의 소비자안전확보를 위한 소비자안전관리정책의 방향)

  • Huh, Kyung-Ok
    • Korean Journal of Human Ecology
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    • v.19 no.2
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    • pp.311-323
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    • 2010
  • This study includes definitions and major issues relating to product safety, and reviews about product safety laws of Korea and of other countries. In addition, this study suggests several ideas for a future governmental policy concerning product safety and the government policies to guide in securing consumers' safety of products. First, we need to set up consumer safety policies and laws dealing with complex consumer safety issues and to integrate existing laws for the safety of products. Second, opening a consumer safety agency and training workers who have relation to the safety policy, as a profession, are necessary. Third, it is required to redefine the product safety guidelines, strengthen the safety policy and to minimize safety regulations by the government directly. Fourth, each product of the safety management policies must be regularly evaluated and given feedback for improving its effectiveness. Fifth, information gathering, disclosing, and having a feedback system related to product safety should be rebuilt for the effective management of unsafe products. In addition, laws and the aims of product safety management being changed to focus on the consumers, control on imported products, collaboration with network and mutual-assistance systems of product safety-related agencies including international organizations and major countries and taking leading roles in the world are essential.