• 산업공학
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• 제23권4호
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• pp.337-348
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• 2010

The Bass model is the most widely used model in research of new product diffusion because it presents a nice explanation on the diffusion process of new products. However, it has a limitation that its performance of fitness is lower as the available data become less and also, the diffusion curve is bell-shape and so, it can not represent the various diffusion patterns. Recently, a two-pieces Bass model is developed and applied to analyze diffusion of 10 products. The results are encouraging in terms of fitness. However, diffusion pattern is not dealt with in the paper. In this paper, analysis of diffusion pattern is in depth addressed in two-pieces Bass model. It is shown that the diffusion curves are divided into 3 types with respect to the peak adoption rate and each type is divided into 2 types further. Takeoff time of a diffusion process is analyzed by using the inflection point and regime-change time where it represents the point that imitation and innovation parameters change. Empirical studies for 68 products(28 domestic products and 40 USA products) are performed to analyze the diffusion pattern. Findings are that diffusion patterns of all products except 1 USA product show type I and regime-change time becomes shorter as the introduction time of the product is later in domestic products and regime-change time can be regarded as a takeoff time in 47% of total 68 products.

• 산업공학
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• 제25권2호
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• pp.255-263
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• 2012

In order to ensure the reliability and specialty of weapon system test results, a policy of extending certified testing service institutions has been driven by applying accreditation system of the ones in defense industry. Bass and Logistic models are used to apply the policy effectively and forecast the diffusion pattern of certified testing service institutions. The parameters for diffusion forecast are estimated using the diffusion pattern of certified testing service institutions in non-defense industry, and these are applied to forecast the diffusion of certified ones in defense industry. Coefficients of innovation and imitation of Bass model are analyzed to derive the factors influencing the early adoption and diffusion patterns. The more increasing the coefficients, the earlier adoption occurred. Diffusion pattern due to coefficient of imitation, internal factor, has larger effect on sensitivity of diffusion pattern. This means that the self recognition of necessity is more effectively worked than the policy or regulations driven by government.

• 품질경영학회지
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• 제51권4호
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• pp.691-700
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• 2023

Purpose: This study aims to analyze the diffusion pattern of the Mongolian mobile phone market. In particular, we used a generalized diffusion model to explore the factors affecting market potenial. Methods: We used three diffusion models to estimate the number of mobile subscribers in Mongolia. Based on the Logistic model with the best fitness, we introduced time-varying market potential and explored the influence of various independent variables such as GDP and inflation. Results: Among the basic diffusion models, the Logistic model was the best in terms of estimation performance and statistical significance. The estimation results of the Generalized Logistic model confirm that investment in the telecommunication sector has a significant positive effect on market potential. The estimation of the Generalized Logistic model effectively describes the continuous growth of the Mongolian telecommunications market until recently. Conclusion: We have analyzed the diffusion pattern of the Mongolian telecommunications market and found that the amount of investment in the sector leads to the growth of the market size. This study is original in terms of its subject - Mongolian telecommunications market and methodology - time-varying market potential.

• 한국멀티미디어학회논문지
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• 제2권2호
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• pp.137-144
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• 1999

오차확산법은 계조화상을 이진화상으로 재현하는 것이 우수하지만 이진화상에 상관패턴이 생긴다. 본 논문에서는 오차확산계수의 주파수 분석을 통해서 상관패턴을 제거하고 경계를 강조하는 새로운 오차확산계수를 제안한다. 주목화소의 앞줄은 경계를 강조하도록 확산계수를 정하고 주목화소의 앞화소의 확산계수를 계수들이 대칭이 되도록 정한다. 그리고 제안하는 오차확산계수는 1,2로 구성되어 있기 때문에 계산량이 작다. 실험을 통해서 제안하는 확산계수를 이용한 이진화상의 화질이 기존의 확산계수를 이용한 이진화상보다 우수한 것을 보인다.

• 국토계획
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• 제53권7호
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• pp.23-37
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• 2018

In recent years, there has been a proliferation of commercial uses in the area where Gentrification occurs. In order to cope with such a diffusion phenomenon, it is necessary to derive the diffusion area accurately. Gentrification has a feature that occurs locally in a short time. Therefore, this study used the space-time pattern analysis to derive the diffusion area of commercial uses in Bukchon, a typical gentrified area in Seoul. Among the space-time pattern analysis, space time permutation statistics used in this study can derive the convergence phenomenon of time and space in a particular case with only the location information. The results confirmed that there has been three proliferation area in Bukchon, one started in 2007, other in 2013 and the other in 2014. In the earliest area, independent shops were the most popular, and the majority of them were restaurants. However in latter areas, there has been more chain stores and clothing stores than earlier area. The findings of this study indicate that space time pattern analysis can be used as a tool to analyze the proliferation by gentrification because it can derive accurate location and timing of the diffusion.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제16권4호
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• pp.249-256
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• 2012

In this work, we analyze the spatial patterns of a predator-prey system with cross diffusion. First we get the critical lines of Hopf and Turing bifurcations in a spatial domain by using mathematical theory. More specifically, the exact Turing region is given in a two parameter space. Our results reveal that cross diffusion can induce stationary patterns which may be useful in understanding the dynamics of the real ecosystems better.

• 한국경영과학회지
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• 제37권2호
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• pp.113-125
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• 2012

The logistic model and the Bass model have diverse names and formulae in diffusion theory. This diversity makes users or readers confused while it also contributes to the flexibility of modeling. The method of handling the integration constant, which is generated in process of deriving the closed form solution of the differential equation for a diffusion model, results in two different 'actual' models. We rename the actual four models and propose the usage of the models with respect to the purpose of model applications. The application purpose would be the explanation of historical diffusion pattern or the forecasting of future demand. Empirical validation with 86 historical diffusion data shows that misuse of the models can draw improper conclusions for the explanation of historical diffusion pattern.

• 한국기술혁신학회:학술대회논문집
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• 한국기술혁신학회 2001년도 춘계학술대회:발표자료
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• pp.205-242
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• 2001

This paper aims to provide a better understanding about how Information and Communication technology (ICT) has diffused. The investigation is conducted with the consideration of ICT evolution in terms of technological change and usage pattern. The definition used is presented as 'the ICT is a process of convergence of technologies between information-processing and information-transforming technologies, mainly due to the advent of microelectronlcs'. After examining technological changes of ICT, the diffusion path of ICT is traced through the usage ratio in total input and/or investment based on Input-Output tables (I-O). It shows that the evolution of ICT from the change of usage pattern is an up-and-down usage pattern rather than a uni-modal usage time path. With this recognition, the diffusion index is prepared. JEL classification : C43, L63, O33.

• 대한산업공학회지
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• 제27권4호
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• pp.337-344
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• 2001

As cost invested in developing the specified technology is increasing, investors are paying more attention to cost to benefit analysis (CBA). One of the basic elements of CBA for new technological development is the diffusion pattern of demand of such technology. Many studies of technology evaluation have adopted a single generation model to simulate the diffusion pattern of demand. This approach, however, considers the diffusion of the new technology itself, not taking into account a newer generation that can replace the one just invented. In this paper, we show how a multi-generation technology diffusion model can be applied for more accurate CBA for information technology. Monte Carlo simulation is performed to find influential factors on the CBA of a Cybernetic Building System.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제17권2호
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• pp.129-138
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• 2013

A spatio-temporal models as systems of ODE which describe two-species Beddington - DeAngelis type predator-prey system living in a habitat of two identical patches linked by migration is investigated. It is assumed in the model that the per capita migration rate of each species is influenced not only by its own but also by the other one's density, i.e. there is cross diffusion present. We show that a standard (self-diffusion) system may be either stable or unstable, a cross-diffusion response can stabilize an unstable standard system and destabilize a stable standard system. For the diffusively stable model, numerical studies show that at a critical value of the bifurcation parameter the system undergoes a Turing bifurcation and the cross migration response is an important factor that should not be ignored when pattern emerges.