• Title/Summary/Keyword: Independence Axiom

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CONSENSUS N-TREES AND REMOVAL INDEPENDENCE

  • Powers, R.C.
    • Journal of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.473-490
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    • 2000
  • Removal independence is a translation of Arrow's axiom of independence of irrelevant alternatives for social welfare functions to an axiom about consensus functions involving n-trees. It is shown that a consensus function is removal independent if and only if it is expressible as th union of three types of functions.

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Analysis and Design of a Main Starting Valve Using Independence Axiom (독립공리를 이용한 메인 스타팅 밸브의 분석 및 설계)

  • Bae, Tae-Sung;Park, Soo-Chul;Park, Sang-il;Lee, Kwon-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.5
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    • pp.7-13
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    • 2010
  • Main starting valve is one of the main parts in the control system of diesel engines, purposed for starting main engines. It is composed of ball valve, check valve, actuator, etc. The design axioms provide a general framework for design methodology. Two axioms are independence axiom and information axiom. These axioms can be applied to all design process in a general way. The first axiom is introduced to analyze and evaluate the design of a main starting valve. The design parameters(DPS) are determined sequentially by considering the independence axiom. For the structural design of a main starting valve, the strength is calculated by using finite element method. In addition, the strength of its actuator piston is evaluated.

Application of Design Axiom to Marine Design Problems (조선분야에서의 설계공리의 응용)

  • Y.S. Song;Y.S.Yang;B.S. Jang
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.3
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    • pp.107-114
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    • 1999
  • Design Axiom proposed by N. P. Such consists of Independence Axiom & Information Axiom. Based on the Independence Axiom, it is very useful specially for early design stage such as conceptual design to generate the design alternatives by considering both functions and structures of product. Since the Information Axiom shows that the design solution should have a least information to be the best one among the many alternatives, this axiom can be used for the best selection purpose during the preliminary design stage. In this paper, the possibility of Design Axiom in marine design application is checked by carrying out three examples of marine design. In the conceptual design of thruster, it is proven to use the Independence Axiom very effective by relating directly functional requirements with design parameters, one by one. In main engine selection example, Information Axiom is used to select best solution among alternatives by choosing the one having the minimum information quantity. For similarity based design in which the selection of changing design variables and the amount of those are important, it is proved that design axiom applied to Barge design case would be very effective and useful. As functional requirements and constrains were not clarified in early design stage, design axiom shows some difficulty for larger system design like ship which is basically carried out by an incremental and iterative process.

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Axiomatic Design of a Beam Adjuster for Laser Marker (레이저 마커용 빔 정렬장치의 공리적 설계)

  • Sin, Gwang-Seop;Lee, Jeong-Uk;Park, Gyeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.9
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    • pp.1727-1735
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    • 2002
  • The usage of beam scanning type laser marker is rapidly increasing in the field of semiconductor equipment. A device called ″beam adjuster″ is employed to adjust the visible diode laser, which points the marking position for various setting. The device is very sensitive to manufacturing tolerance and assembly condition. Axiomatic approach has been applied to the design of the device. An existing design is analyzed based on the Independence Axiom. The existing design is found to violate the axiom. Two new designs are proposed to satisfy the Independence Axiom. The Information Axiom is utilized to evaluate the designs. A design is selected to have the minimum information content. The significance of this research is that a full cycle of axiomatic design is applied to a real engineering product.

A New Information Index of Axiomatic Design for Robustness (강건성을 고려한 공리적 설계의 새로운 정보 지수)

  • Hwang, Kwang-Hyeon;Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.10
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    • pp.2073-2081
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    • 2002
  • In product design and manufacturing, axiomatic design provides a systematic approach for the decision-making process. Two axioms have been defined such as the Independence Axiom and the Information Axiom. The Information Axiom states that the best design among those that satisfy the independence axiom is the one with the least information content. In other words, the best design is the one that has the highest probability of success. On the other hand, the Taguchi robust design is used in the two-step process; one is "reduce variability," and the other is "adjust the mean on the target." The two-step can be interpreted as a problem that has two FRs (functional requirements). Therefore, the Taguchi method should be used based on the satisfaction of the Independence Axiom. Common aspects exist between the Taguchi method and Axiomatic Design in that a robust design is induced. However, different characteristics are found as well. The Taguchi method does not have the design range, and the probability of success may not be enough to express robustness. Our purpose is to find the one that has the highest probability of success and the smallest variation. A new index is proposed to satisfy these conditions. The index is defined by multiplication of the robustness weight function and the probability density function. The robustness weight function has the maximum at the target value and zero at the boundary of the design range. The validity of the index is proved through various examples.gh various examples.

The Design of the Butterfly Valve Using Axiomatic Design (공리적 방법을 이용한 버터플라이밸브 설계)

  • PARK YOUNG-CHUL;BAE IN-HWAN;LEE DONG-HWA
    • Journal of Ocean Engineering and Technology
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    • v.18 no.4 s.59
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    • pp.59-64
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    • 2004
  • Functional requirements and design parameters were not clarified in the early design process. Design axiom shows some difficulty for larger system designs, such as the butterfly valve, which is basically carried out by an incremental and iterative process. A numerical analysis was carried out on fluid flows in a butterfly valve, by using ANSYS-FLOTRAN. Characteristics of the butterfly flows at different valve disk opening angles, with a uniform incoming velocity, were investigated. The entire analysis is decomposed to satisfy the independence axiom. This paper resolves the problems associated with the establishment of a systematic design process.

Analysis of a Mount Type HVAC Control System Using Axiomatic Design (공리적 설계를 이용한 매립형 공기조화시스템의 분석)

  • Lee, Se-Jung;Hong, Eul-Pyo;Kim, Dae-Whan;Kim, Su-Ok;Park, Gyung-Jin
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1028-1033
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    • 2008
  • The mount type HVAC control system is a type of an HVAC control system which is installed between a ceiling and ceiling boards of a room to control room temperature. Although the device is quite popular, design is conducted by a conventional way where engineering intuition and experiences are utilized. It is found that the design process is fairly inefficient and time-consuming because there are a lot of feedbacks. The axiomatic approach is used to investigate the design characteristics of the mount type HAVC control system and the Independence Axiom is utilized for the investigation. The Overall hierarchy is established up to the level of parts. It is found that the current design has many coupled and redundant aspects. The hierarchy is reorganized based on the Independence Axiom and a new design process is found. To exploit the new design process in practice, a design manual is made.

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Calculation of Information Contents in Axiomatic Design (공리적 설계에서 정보량 계산 방법)

  • Shin Gwang-Seob;Yi Jeong-Wook;Yi Sang-Il;Kwon Yong-Deok;Park Gyung-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.6 s.171
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    • pp.183-191
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    • 2005
  • Axiomatic design offers a scientific base for design in an efficient way. It is well known that it has two axioms: the Independence Axiom and the Information Axiom. Many applications of the Independence Axiom have been published, however, the Information Axiom has been mainly applied to IFR (functional requirement) - 1DP (design parameter) problems except fer a few case studies. This research presents various methods for calculation of information content. Generally, the information content is evaluated by the probability of success. The probability of success is calculated in two ranges: the FR range and the DP range. In the FR range, the graphical method is utilized with uniform distribution of the DP. In the FP range, the integration method is employed. It is noted that any distribution function of the DP can be accommodated in the integration method. The developed method can be applied to a decoupled design with multiple FRs and DPs. The developed method is extended to a coupled design and a design with a hierarchical structure of axiomatic design.

Applying Axiomatic Design to Design Evaluation of a Deep-Sea Manganese Nodule Miner (공리적 설계를 적용한 심해저 망간단괴 집광시스템의 설계평가)

  • Choi, Jong-Su;Hong, Sup;Kim, Hyung-Woo;Yeu, Tae-Kyung;Lee, Tae-Hee
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.13 no.3
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    • pp.246-251
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    • 2008
  • The conceptual design evaluation of Deep-Sea Manganese Nodule Miner(DSNM) based on Axiomatic Design was preformed. Functional Requirements(FRs) in functional domain and Design Parameters(DPs) in physical domain were embodied for the given concept design of DSNM. Interactions between FRs and DPs were sequentially analyzed from the first level hierarchy to the lower level hierarchy. The interactions were expressed as design matrices which showed the dependence or independence between FRs and DPs. The results showed that the design of DSNM was not a coupled one, but a decoupled. Finally, it was conceptually verified that DSNM was a good design satisfying the independence axiom of the Axiomatic Design.