• Title/Summary/Keyword: transition probabilities

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Sensitivity Analysis for the Busy Cycle in M/M/1 Queue (M/M/1 Queue 에서 Busy Cycle 에 대한 민감도 분석)

  • Park, Heung-Sik
    • Journal of the Korean Operations Research and Management Science Society
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    • v.17 no.1
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    • pp.67-75
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    • 1992
  • In this paper, by using perturbation analysis method, We find the sensitivity of the mean busy cycle with respect to means interrival time in M/M/1 Queue. We show that the Perturbation analysis estimate can be expressed as a sum of the infinitesimal perturbation analysis (IPA) estimate and the effect caused by changes in transition probabilities, thus explaining why IPA estimates are not consistent in general.

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The Impact of Anthropogenic Land Cover Change on Degradation of Grade in Ecology and Nature Map (생태자연도 등급 하락에 영향을 미치는 인위적 토지피복 변화 분석)

  • Choi, Chul-Hyun;Lim, Chi-Hong;Lee, Sung-Je;Seo, Hyun-Jin
    • Journal of the Korean Society of Environmental Restoration Technology
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    • v.22 no.6
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    • pp.77-87
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    • 2019
  • The first grade zones in Ecology and Nature Map are important regions for the conservation of the ecosystem, but it would be degraded by various anthropogenic factors. This study analyzes the relationship between potential land cover change and degradation of the first grade zones using land cover transition probability. As a result, it was shown that most of the first grade zones with degraded were converted from forest to urban(5.1%), cropland(27.2%), barren(11.0%) and grass(27.5%) in Gangwon and forest to urban(18.0%), cropland(15.3%), grass(28.4%), barren(12.3%) in Gyeonggi. The result of the logistic regression analysis showed that the probability of degradation of first grade zone was higher in area where was expected the higher probability of urban, cropland, barren, grass transition. The barren transition probability was the most influential and grass was the next highest. There were regional differences in the probability of urban transition and cropland transition, and the urban transition probability was more influential in Gyeonggi-do. This is because development pressure such as housing site development is high in Gyeonggi-do. Due to the limitations of the Act on Mountain Districts Management, even in the first grade zones, the grade may be degraded. Therefore, if Ecology and Nature Map are used to prevent deforestation or conversion of mountainous districts, it may contribute to the preservation of the ecosystem.

Sensitivity of Conditions for Lumping Finite Markov Chains

  • Suh, Moon-Taek
    • Journal of the military operations research society of Korea
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    • v.11 no.1
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    • pp.111-129
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    • 1985
  • Markov chains with large transition probability matrices occur in many applications such as manpowr models. Under certain conditions the state space of a stationary discrete parameter finite Markov chain may be partitioned into subsets, each of which may be treated as a single state of a smaller chain that retains the Markov property. Such a chain is said to be 'lumpable' and the resulting lumped chain is a special case of more general functions of Markov chains. There are several reasons why one might wish to lump. First, there may be analytical benefits, including relative simplicity of the reduced model and development of a new model which inherits known or assumed strong properties of the original model (the Markov property). Second, there may be statistical benefits, such as increased robustness of the smaller chain as well as improved estimates of transition probabilities. Finally, the identification of lumps may provide new insights about the process under investigation.

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Characteristics of Ramsey Resonance Signal in an Optically Pumped Cesium Atomic Clock (광펌핑 세슘원자 시계에서의 Ramsey 공진 특성)

  • 이호성
    • Korean Journal of Optics and Photonics
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    • v.4 no.2
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    • pp.173-180
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    • 1993
  • We observed Ramsey resonance signals from an optically pumped cesium atomic clock and compared them with the theoretical results calculated from the Ramsey transition probabilities. The theoretical results were in good agreement with the experimental results when the weighting factor of $1/{\nu}$ was taken into account to the Maxwellian distribution of velocities in the atomic beam. It was also found that the clock transition signal of Rabi-Ramsey spectra can be greatly enhanced by using two lasers with the proper polarizations as pumping sources of cesium atoms.

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LIMITING PROPERTIES FOR A MARKOV PROCESS GENERATED BY NONDECREASING CONCAVE FUNCTIONS ON $R_{n}^{+}$

  • Lee, Oe-Sook
    • Communications of the Korean Mathematical Society
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    • v.9 no.3
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    • pp.701-710
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    • 1994
  • Suppose ${X_n}$ is a Markov process taking values in some arbitrary space $(S, \varphi)$ with n-stemp transition probability $$ P^{(n)}(x, B) = Prob(X_n \in B$\mid$X_0 = x), x \in X, B \in \varphi.$$ We shall call a Markov process with transition probabilities $P{(n)}(x, B)$ $\phi$-irreducible for some non-trivial $\sigma$-finite measure $\phi$ on $\varphi$ if whenever $\phi(B) > 0$, $$ \sum^{\infty}_{n=1}{2^{-n}P^{(n)}}(x, B) > 0, for every x \in S.$$ A non-trivial $\sigma$-finite measure $\pi$ on $\varphi$ is called invariant for ${X_n}$ if $$ \int{P(x, B)\pi(dx) = \pi(B)}, B \in \varphi $$.

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Analysis of Intramolecular Electron Transfer in A Mixed-Valence Cu(Ⅰ)-Cu(Ⅱ) Complex Using the PKS Model

  • So Hyunsoo
    • Bulletin of the Korean Chemical Society
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    • v.13 no.4
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    • pp.385-388
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    • 1992
  • The transition probabilities for the thermal intramolecular electron transfer and the optical intervalence transfer band for a symmetric mixed-valence Cu(I)-Cu(II) compound were used to extract the PKS parameters $\varepsilon$ = -1.15, ${\lambda}$ = 2.839, and ${\nu}g$- = 923 $cm^{-1}$. These parameters determine the potential energy surfaces and vibronic energy levels. Three pairs of vibrational levels are below the top of the energy barrier in the lower potential surface. The contribution of each vibrational state to the intramolecular electron transfer was calculated. It is shown that the three pairs of vibrational states below the top of the barrier are responsible for most of the electron transfer at 261-306 K. So the intramolecular electron transfer in this system is a tunneling process. The transition probability exhibits the usual high-temperature Arrhenius behavior, but at lower temperature falls off to a temperature-independent value as tunneling from the lowest levels becomes the limiting process.

Revitalization of Social Enterprise in Rural Areas : Focused on the Case of Boseong in Jeonnam (농촌지역 사회적기업 활성화 방안 : 전남 보성군 사례를 중심으로)

  • Ryu, Il;Choi, Hyuk-Ra;Kim, Seon-Myung
    • The Journal of the Korea Contents Association
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    • v.13 no.11
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    • pp.332-346
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    • 2013
  • Since the enactment of Social Enterprise Promotion Act in 2007, the December 2012 was now 801 organizations certified as social enterprise. Social enterprise in urban areas are much more activated, in order to social enterprises in rural areas be activated, what you need to improve and what measures will need to be applied by the practitioners and researchers is a challenge to be reflective. In this study, We searched for ways of social enterprise activation in rural areas, conducted by case study of social enterprise transition probabilities diagnosis and demand survey of local people based in Boseong. For research purposes, this study selects 41 corporate and non-profit organizations in order to examine social enterprise transition probabilities, the potential social enterprise certification, social enterprise-related demand, awareness of sustainability, and local issues.

Analysis of Land Conversion Characteristics in Process of Farmland Loss and Urbanization by Distance from Center of City Using Detailed Digital Land Use - With Representative Big Cities and Their Fringe Areas in Japan - (정밀수치정보를 이용한 도시중심에서 거리별 농지손실 및 도시화과정의 토지전용 특성 분석 - 일본의 대표적 도시주변지역을 중심으로 -)

  • Kim, Dae-Sik
    • Journal of Korean Society of Rural Planning
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    • v.9 no.1 s.18
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    • pp.65-75
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    • 2003
  • As a pre-step research to make land-use planning in the region level, this study aims to analyze some probability pattern representing transition probabilities from farmland to others using the sequential detailed digital land-use maps. Kinki and Chubu regions of Japan, which have Osaka and Nagoya cities as their center places respectively, were selected as test regions in this study. The 10m grid land-use maps for four time series at every 5 year from 1977 to 1992 were used. In this study, the regions were divided into three sub-areas 10km, 20km, and 30km according to distance from center cities, respectively. The correlation coefficient (CC) between sub-areas with same distance in the two regions was calculated to analyze whether or not the two regions have common points in the pattern of land-use conversion probability from farmland to other types. The probability distribution of the converted areas which were moved to the urbanized area (residential, commercial, industrial, road, park and public facility areas) was about $40{\sim}70%$ for both all periods and sub-areas. According to distance from city centers, the probability moved to the urbanized area was about 60% at 10km area, and 40% at the 30km area, which means that the values we decreased gradually, while in the case moved to the forest and the etc areas, the values were increased slightly. The CC analysis from the paddy field and the dry field to the others separately showed that there is high correlation in the probability pattern between the two regions.

Direct Non-stepwise Multiple Quantum Excitations in Translation-Vibration Energy Transfer (竝進-振動에너지 變換에 있어서의 多量子 直接 振動 勵起)

  • Yoo Hang Kim;Hyung Kyu Shin
    • Journal of the Korean Chemical Society
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    • v.20 no.2
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    • pp.97-110
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    • 1976
  • Effects of direct multiple quantum excitations in vibrational energy transfer were investigated. Vibrational transition probabilities for 0${\rightarrow}$2, 0${\rightarrow}$3, and 0${\rightarrow}$4 excitations were explicitly formulated including both direct 0→n excitations and stepwise single quantum processes. For the formulation the perturbing force was derived from the exponential potential including terms up to fourth order in the vibrational amplitude. The head-on collinear collision model between a harmonic oscillator and an incident particle was employed, and the formulation was based on the semiclassical approximation. Numerical results were obtained for five different collision systems (Ar${\cdots}$O-N, He${\cdots}$H-H, He${\cdots}$H-Cl, 5${\cdots}$1-2, 2${\cdots}$12-12). Comparison between the present results and those obtained using the linearized interaction potential showed that the overall effect of including the direct multiple quantum transition is to decrease the probabilities at low collision energies and to increase them at high energies. The present results were found to be significantly different from those obtained using the linearized potential for collision systems He${\cdots}$H-H, He${\cdots}$H-Cl, and 5${\cdots}$1-2. For systems Ar${\cdots}$O-N and 2${\cdots}$12-12 the differences were negligible.

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The Performance analysis of DS/SS Acquisition System over Rician Fading Channels (라이시안 페이딩 채널에서의 DS/SS 초기 동기 시스템의 성능 분석)

  • 홍인기;이종성;황금찬
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.1
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    • pp.35-46
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    • 1994
  • In this paper, the performance of DS/SS acquisition system over frequency nonselective Rician fading channel is analyzed by means of packet loss probability. The power ratio of the fading component to the specular compnent. seccessive constant fadong chips k. and correlation coefficient among k chipe are taken for channel parameters. The false alarm probabilities and detection probabilities are derived, and packet loss probability is evaluated in terms of these probablities in the stats transition diagram. From the results of the performance test, these exists the region of packet loss probability in crease because of autocorrelation sidelobe. As k increases, the packet loss probabolotoes decrease.

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