• Title/Summary/Keyword: Factorial design

Search Result 1,002, Processing Time 0.027 seconds

Characterization of Negative Photoresist Processing by Statistical Design of Experiment (DOE)

  • Mun Sei-Young;Kim Gwang-Beom;Soh Dea-Wha;Hong Sang Jeen
    • Journal of information and communication convergence engineering
    • /
    • v.3 no.4
    • /
    • pp.191-194
    • /
    • 2005
  • SU-8 is a epoxy based photoresist designed for MEMS applications, where a thick, chemically and thermally stable image are desired. However SU-8 has proven to be very sensitive to variation in processing variables and hence difficult to use in the fabrication of useful structures. In this paper, negative SU-8 photoresist processed has been characterized in terms of delamination, based on a full factorial designed experiment. Employing the design of experiment (DOE), a process parameter is established, and analyzing of full factorial design is generated to investigate degree of delamination associated with three process parameters: post exposure bake (PEB) temperature, PEB time, and exposure energy. These results identify acceptable ranges of the three process variables to avoid delamination of SU-8 film, which in turn might lead to potential defects in MEMS device fabrication.

Reliability analysis of slopes stabilised with piles using response surface method

  • Saseendran, Ramanandan;Dodagoudar, G.R.
    • Geomechanics and Engineering
    • /
    • v.21 no.6
    • /
    • pp.513-525
    • /
    • 2020
  • Slopes stabilised with piles are seldom analysed considering uncertainties in the parameters of the pile-slope system. Reliability analysis of the pile-slope system quantifies the degree of uncertainties and evaluates the safety of the system. In the present study, the reliability analysis of a slope stabilised with piles is performed using the first-order reliability method (FORM) based on Hasofer-Lind approach. The implicit performance function associated with the factor of safety (FS) of the slope is approximated using the response surface method. The analyses are carried out considering the design matrices formulated based on both the 2k factorial design augmented with a centre run (2k fact-centred design) and face-centered cube design (FCD). The finite element method is used as the deterministic model to compute the FS of the pile-slope system. Results are compared with the results of the Monte Carlo simulation. It is observed that the optimum location of the row of piles is at the middle of the slope to achieve the maximum FS. The results show that the reliability of the system is not uniform for different pile configurations, even if the system deterministically satisfies the target factor of safety (FSt) criterion. The FSt should be selected judiciously as it is observed that the reliability of the system changes drastically with the FSt level. The results of the 2k fact-centred design and FCD are in good agreement with each other. The procedure of the FCD is computationally costly and hence the use of 2k fact-centred design is recommended, provided the response of the system is sufficiently linear over the factorial space.

A Study on Optimal Operation Conditions for an Electronic Device Alignment System by Using Design of Experiments (실험계획법을 이용한 전자부품 위치정렬장치 최적 운영조건 사례연구)

  • Lee, Dong Heon;Lee, Mi Lim;Bae, Suk Joo
    • Journal of Korean Society for Quality Management
    • /
    • v.43 no.3
    • /
    • pp.453-466
    • /
    • 2015
  • Purpose: The purpose of this study is to design a systematic method to estimate optimal operation conditions of design variables for an electronic device alignment system. Method: The 2-level factorial design and the central composite design are used in order to plan experiments. Based on the experiment results, a regression model is established to find optimal conditions for the design variables. Results: 3 of 5 design variables are selected as major factors that affect the alignment system significantly. The optimized condition for each variable is estimated by using a sequential experiment plan and a quadratic regression model. Conclusion: The method designed in this study provides an efficient and systematic plan to select the optimized operation condition for the design variables. The method is expected to improve inspection accuracy of the system and reduce the development cost and period.

Formulation Optimization Study of Carvedilol and Ivabradine Fixed-dose Combination Tablet Using Full-factorial Design (완전요인배치법을 이용한 carvedilol 및 ivabradine 이층정 복합제 내 carvedilol 속방층 제형 최적화 연구)

  • Yu Lim Song;Kang Min Kim
    • Journal of Life Science
    • /
    • v.33 no.3
    • /
    • pp.268-276
    • /
    • 2023
  • This study was conducted to optimize the formulation conditions of the immediate-release layer of carvedilol in the development of a two-layer tablet formulation for carvedilol and ivabradine. Using a 24+3 full-factorial design of experiments, excipients (microcrystalline cellulose, citric acid, and crospovidone) of the carvedilol immediate-release layer (wet granulation part) and process parameters for the tablet compression process (main compression) were optimized, and seven types of each dependent variable (assay, content uniformity, hardness, friability, disintegration, and dissolution [pH 1.2 and 6.8]) were evaluated using design expert software. The analysis of variance results confirmed that the main compression has a significant effect on hardness, friability, and disintegration time and that microcrystalline cellulose has a major effect on friability and dissolution. In addition, it was confirmed that citric acid has a significant effect on friability. Crospovidone affects friability and dissolution. According to the design space from the design of the experiment results, the optimized range is microcrystalline cellulose (~18.0-32.0 mg), citric acid (~0.5-12 mg), and main compression (~615-837 kgf). Consequently, this study confirmed the availability of manufacturing the carvedilol immediate-release layer in which all risk factors evaluated in the initial risk assessment are removed.

Statistical Optimization of the Growth Factors for Chaetoceros neogracile Using Fractional Factorial Design and Central Composite Design

  • Jeong, Sung-Eun;Park, Jae-Kweon;Kim, Jeong-Dong;Chang, In-Jeong;Hong, Seong-Joo;Kang, Sung-Ho;Lee, Choul-Gyun
    • Journal of Microbiology and Biotechnology
    • /
    • v.18 no.12
    • /
    • pp.1919-1926
    • /
    • 2008
  • Statistical experimental designs; involving (i) a fractional factorial design (FFD) and (ii) a central composite design (CCD) were applied to optimize the culture medium constituents for production of a unique antifreeze protein by the Antartic micro algae Chaetoceros neogracile. The results of the FFD suggested that NaCl, KCl, $MgCl_2$, and ${Na}_{2}{SiO}_{3}$ were significant variables that highly influenced the growth rate and biomass production. The optimum culture medium for the production of an antifreeze protein from C. neogracile was found to be Kalle's artificial seawater, pH of $7.0{\pm}0.5$, consisting of 28.566 g/l of NaCl, 3.887 g/l of $MgCl_2$, 1.787 g/l of $MgSO_4$, 1.308 g/l of $CaSO_4$, 0.832 g/l of ${K_2}{SO_4}$, 0.124 g/l of $CaCO_3$, 0.103 g/l of KBr, 0.0288 g/l of $SrSO_4$, and 0.0282 g/l of ${H_3}{BO_3}$. The antifreeze activity significantly increased after cells were treated with cold shock (at $-5^{\circ}C$) for 14 h. To the best of our knowledge, this is the first report demonstrating an antifreeze-like protein of C. neogracile.

Number of Equivalence Classes of a Parallel Flats Fraction for the 3" Factorial Design

  • Um, Jung-Koog
    • Journal of the Korean Statistical Society
    • /
    • v.10
    • /
    • pp.122-127
    • /
    • 1981
  • A parallel flats fraction for the $3^n$ factorial is symbolically written as $At=C=(C_1 C_2 \cdots C_f)$ where C is a rxf matrix and A is rxn matrix with rank r. It is shown that the set of all possible parallel flats fraction C for a given A and given size can be partitioned into equivalence classes. The number of those classes are enumerated in general.

  • PDF

Study on the Optimality of 2-level Resolution V Minimal Fractional Factorial Designs (2-수준계 Resolution V 최소 부분실험법의 최적성에 관한 연구)

  • Kim Sang Ik
    • Journal of Korean Society for Quality Management
    • /
    • v.32 no.3
    • /
    • pp.234-243
    • /
    • 2004
  • In this paper, we study the optimality of 2-level resolution V minimal fractional factorial designs which can be constructed by using a partially balanced array. Moreover the relative efficiencies of such designs are compared in the sense of three optimality criteria such as determinant(D)-optimality, trace(A)-optimality, and eigenvalue(E) -optimality criterion.

Alias Component Permutation Matrices (ACPM) for the $3^n$ Parallel Fractional Factorial Design

  • Um, Jung-Koog
    • Journal of the Korean Statistical Society
    • /
    • v.9 no.1
    • /
    • pp.1-12
    • /
    • 1980
  • A parallel flats faraction for the $3^n$ factorial experiment is symbolically written as $At = C(r\timesf)$ where $A(r\timesn)$ is of rank r. The A-matrix partitions the nonnegligible effects into $(3^{n-r}-1)/2+1$ alias sets. The $U_i$ effects in the i-th alias set are related pairwise by elements from $S_3$, the symmetric group on three symbols. For each alias set the f flats produce an $f \times u_i$ alias componet permutation matrices (ACPM) with elements from $S_3$. All the information concerning the relationships among levels of the effects is contained in the ACPM.

  • PDF

A Study on Hospital Homepage Design Development (병원 홈페이지 디자인에 관한 연구)

  • 최병만;양종열;홍찬석
    • Proceedings of the Korea Society of Design Studies Conference
    • /
    • 1999.05a
    • /
    • pp.50-51
    • /
    • 1999
  • 병원은 생명을 다루는 서비스를 취급하고 이것은 국민의 건강 및 생명과 직결된 서비스인 만큼 상업적 목적으로 다루어질 수 없는 분야이다. 따라서 영리만을 목적으로 의료광고가 시행되는 것을 우려하여 의료광고를 법적으로 금지하고 있다. 이러한 상황은 내ㆍ외적으로 병원을 알릴 수 있는 매체와 방법을 극히 제한적 규제하였다. (중략)

  • PDF

Search Design of Resolution III.3 for $3^4$Factorial

  • Um, Jung-Koog
    • Journal of the Korean Statistical Society
    • /
    • v.19 no.1
    • /
    • pp.15-23
    • /
    • 1990
  • The basic conditions for a parallel flats fraction to be a search design of resolution III.2 have been developed in Um (1980, 1981, 1983, 1984). A series of resolution III.2 search design for $3^n, n=4, 5, 6$ are presented in Um (1988). In this paper a resoultion III.3 search design for $3^4$ is presented.

  • PDF