• Title/Summary/Keyword: industrial mathematics

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SOLUTION OF THE SUPER BESSEL WAVE EQUATION WITH INTEGRAL PARAMETER m

  • Lee, Nae-Ja;Liu, Chang-Keng
    • Bulletin of the Korean Mathematical Society
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    • v.20 no.2
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    • pp.99-103
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    • 1983
  • Internal heat generation is one of the insidious conditions affecting the quality of an industrial product after it is cast, coated, molded, forged or laminated. Frequently, the product is pressed into service before the exothermic chemical reactions in the generic material has been completed. The heat liberated from this continuing chemical reaction or the residual deformation from the rheological activities in the materials must be adequately removed or prevented, or the product may be discolored, warped, weakened or even "ignited" spontaneously. Numerous instances of premature structural failures, product-recalls, and/or system-malfunctions have been recorded in recent history. The Coulee Dam was poured with pre-chilled concrete just to negate this freakish encore. It is well-known that concrete (a non-isotropic conducting medium), for instance, takes 28 days to develop its full strength. During this period of curing it is conceivable that the processes of internal heat generation, heat conduction and heat dissipation take place simultaneously inside the medium.he medium.

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PERFORMANCE ANALYSIS OF THE LEAKY BUCKET SCHEME WITH QUEUE LENGTH DEPENDENT ARRIVAL RATES

  • Choi, Doo-Il;Lee, Sang-Min
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.657-669
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    • 2006
  • In this paper, we analyze a leaky bucket (LB) scheme with queue length dependent arrival rates. In other words, if the queue length exceeds an appropriate threshold value on buffer, the arrivals need to be controlled. In ATM networks, if the congestion occurs, the input traffics must be controlled (reduced) for congestion resolution. By the bursty and correlated properties of traffics, the arrivals are assumed to follow a Markov-modulated Poisson process (MMPP). We derive the loss probability and the waiting time distribution for arbitrary cell. The analysis is done by using the embedded Markov chain and supplementary variable method. We also present some numerical examples to show the effects of our proposed LB scheme.

Estimation of the Change Point in VSS X Control Charts

  • Lee, Jaeheon;Park, Changsoon
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.825-833
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    • 2003
  • Knowing the time of the process change could lead to quicker identification of the responsible special cause and less process down time, and it could help to reduce the probability of incorrectly identifying the special cause. In this paper, we propose a maximum likelihood estimator of the process change point when a Shewhart $\bar{X}$ chart with variable sample size (VSS) scheme signals a change in the process mean. Also we build a confidence interval for the process change point by using the likelihood function.

Marginal Likelihoods for Bayesian Poisson Regression Models

  • Kim, Hyun-Joong;Balgobin Nandram;Kim, Seong-Jun;Choi, Il-Su;Ahn, Yun-Kee;Kim, Chul-Eung
    • Communications for Statistical Applications and Methods
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    • v.11 no.2
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    • pp.381-397
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    • 2004
  • The marginal likelihood has become an important tool for model selection in Bayesian analysis because it can be used to rank the models. We discuss the marginal likelihood for Poisson regression models that are potentially useful in small area estimation. Computation in these models is intensive and it requires an implementation of Markov chain Monte Carlo (MCMC) methods. Using importance sampling and multivariate density estimation, we demonstrate a computation of the marginal likelihood through an output analysis from an MCMC sampler.

A Case Study of the STEAM Educational Outreach Program Development and their Application (융합인재교육(STEAM)의 아웃리치 프로그램 개발 및 운영 사례)

  • Seo, Won-seok;Lee, Chang-hoon
    • Journal of Engineering Education Research
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    • v.18 no.6
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    • pp.38-45
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    • 2015
  • This study aims to conduct a case study of the Science, Technology, Engineering, Arts, and Mathematics (STEAM) outreach program development and their application. This program was operated by 184 middle and high school students at C University on October 2014. The major results of these studies were as follows: First, The theme of the outreach program consisted of four engineering areas, aerospace engineering, chemical engineering, architectural engineering, and mechatronics (robot) engineering; moreover, the materials for the students' workbook, the guidebook for teachers, and the program operation manual for staffs in a university were developed by working with four authors and ten subject matter experts. Second, the satisfaction level with the contents and activities was ranged from 4.24-4.31 out of 5 points. Third, the vitalizing activation plan was discussed for the sustainable development and operation of the STEAM outreach program.

A Delay-Dependent Approach to Robust Filtering for LPV Systems with Discrete and Distributed Delays using PPDQ Functions

  • Karimi Hamid Reza;Lohmann Boris;Buskens Christof
    • International Journal of Control, Automation, and Systems
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    • v.5 no.2
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    • pp.170-183
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    • 2007
  • This paper presents a delay-dependent approach to robust filtering for linear parameter-varying (LPV) systems with discrete and distributed time-invariant delays in the states and outputs. It is assumed that the state-space matrices affinely depend on parameters that are measurable in real-time. Some new parameter-dependent delay-dependent stability conditions are established in terms of linear matrix inequalities (LMIs) such that the filtering process remains asymptotically stable and satisfies a prescribed $H_{\infty}$ performance level. Using polynomially parameter-dependent quadratic (PPDQ) functions and some Lagrange multiplier matrices, we establish the parameter-independent delay-dependent conditions with high precision under which the desired robust $H_{\infty}$ filters exist and derive the explicit expression of these filters. A numerical example is provided to demonstrate the validity of the proposed design approach.

Characitritics of Photocatalytic Degradation for Volatile Organic Compounds (광촉매를 이용한 휘발성유기화합물 분해)

  • Jang Hyun Tae;Lim Hyeo Hyun;Park Mi Young;Choi Hyun Ju;Lee Beyong Lim;Choi Sang Il
    • Proceedings of the KAIS Fall Conference
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    • 2005.05a
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    • pp.303-305
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    • 2005
  • 내부 순환형 회분식 반응기에서 $UV/TiO_2$ 시스템을 이용하여 기상의 휘발성유기 화합물 제거 반응 특성을 온도와 농도 및 자외선 파장 및 광도에 대하여 고찰하였다. 또한 광촉매에 Pt, Pd 등의 첨가에 의한 반응성의 상승을 고찰하였다. 온도에 다른 연구결과 반응온도보다 온도에 의한 흡착특성에 따른 영향을 더 크게 받는 것으로 나타났다. 또한 일부의 반응에서는 수분에 의하여 반응성이 증가하는 것으로 나타났다.

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Adsorption Characitritics of Sorbent for Oxygen Generator (산소발생기용 흡착제의 흡착특성)

  • Choi Sang-Il;Jang Hyun Tae
    • Proceedings of the KAIS Fall Conference
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    • 2005.05a
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    • pp.315-317
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    • 2005
  • 공기중의 산소농축 PSA 기술로 RPSA(Rapid Pressure swing adsorption)이 적용되므로 1979년 이후 소형의 의료용 장치로 상업화되기 시작하였다. 산소발생기(산소농축기)의 경우에도 개량형 RPSA방식을 적용한 기술로써 최근 우리나라도 고령화 사회가 되므로써 의료용으로 사용이 확대되고 있으며, 기타 작업장이나 특수 시설 등에서 사용이 증대되고 있다. 이러한 산소농축기의 핵심부품 중의 하나인 흡착탑의 경우 흡착제 구성 및 흡착탑의 구조에 의하여 성능이 좌우되고 있다. 현재 상용화된 제올라이트의 각 흡착제의 흡착특성을 도출하기 위하여 압력, 온도, 수분함유량에 따른 파과곡선을 측정하여 흡착탑의 단수에 따른 최적 단수를 도출하였다.

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Multicriteria shape design of an aerosol can

  • Aalae, Benki;Abderrahmane, Habbal;Gael, Mathis;Olivier, Beigneux
    • Journal of Computational Design and Engineering
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    • v.2 no.3
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    • pp.165-175
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    • 2015
  • One of the current challenges in the domain of the multicriteria shape optimization is to reduce the calculation time required by conventional methods. The high computational cost is due to the high number of simulation or function calls required by these methods. Recently, several studies have been led to overcome this problem by integrating a metamodel in the overall optimization loop. In this paper, we perform a coupling between the Normal Boundary Intersection - NBI - algorithm with Radial Basis Function - RBF - metamodel in order to have a simple tool with a reasonable calculation time to solve multicriteria optimization problems. First, we apply our approach to academic test cases. Then, we validate our method against an industrial case, namely, shape optimization of the bottom of an aerosol can undergoing nonlinear elasto-plastic deformation. Then, in order to select solutions among the Pareto efficient ones, we use the same surrogate approach to implement a method to compute Nash and Kalai-Smorodinsky equilibria.

Optimal Admission Control and State Space Reduction in Two-Class Preemptive Loss Systems

  • Kim, Bara;Ko, Sung-Seok
    • ETRI Journal
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    • v.37 no.5
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    • pp.917-921
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    • 2015
  • We consider a multiserver system with two classes of customers with preemption, which is a widely used system in the analysis of cognitive radio networks. It is known that the optimal admission control for this system is of threshold type. We express the expected total discounted profit using the total number of customers, thus reducing the stochastic optimization problem with a two-dimensional state space to a problem with a one-dimensional birth-and-death structure. An efficient algorithm is proposed for the calculation of the expected total discounted profit.