• Title/Summary/Keyword: quasi-state independent

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ON QUASI-PERFECT AND POWER AUTOMATA

  • Park, Chin-Hong;Lim, Jong-Seul
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.559-569
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    • 2004
  • In this paper we shall discuss the quasi-perfect automata associated with power automata. We shall give the fact that its power automaton is invertible if an automaton A is quasi-perfect. Moreover, some subgroups and normal subgroups of the characteristic semigroup X(M) will have the very interesting parts in their structures.

SOME PROPERTIES OF QUASI-PERFECT AUTOMATA

  • Park, Chin-Hong;Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.571-583
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    • 2004
  • In this paper we shall discuss the quasi-perfect automata associated with power automata. We shall give the fact that x(M)/ HX is normal subgroup of the characteristic semigroup x(M) if the automaton A is quasi-perfect and x(M)/HX = x$(M)_H$ if A is perfect. Moreover, it is a very interesting part that x$(M)_H$ is conjugate to x$(M)_{Ha}$ for every a $\in$ X. Also we shall give a characterization of Ha = Hb for x$(M)_H$.

RETRIAL QUEUES WITH A FINITE NUMBER OF SOURCES

  • Artalejo, J.R.
    • Journal of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.503-525
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    • 1998
  • In the theory of retrial queues it is usually assumed that the flow of primary customers is Poisson. This means that the number of independent sources, or potential customers, is infinite and each of them generates primary arrivals very seldom. We consider now retrial queueing systems with a homogeneous population, that is, we assume that a finite number K of identical sources generates the so called quasi-random input. We present a survey of the main results and mathematical tools for finite source retrial queues, concentrating on M/G/1//K and M/M/c//K systems with repeated attempts.

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A Threshold QBD Queueing Model for Web Server System (웹 서어버를 위한 유사출생사멸 Threshold 대기행렬모형)

  • Lee Ho Woo;Cho Eun-sung
    • Journal of the Korean Operations Research and Management Science Society
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    • v.30 no.2
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    • pp.131-142
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    • 2005
  • This paper proposes queueing models for a Web server system which is composed of an infinite-buffer main server and finite-buffer auxiliary server(s). The system is modeled by the level-dependent quasi-birth- death (QBD) process. Utilizing the special structure of the QBD, we convert the infinite level-dependent QBD into a finite level-independent QBD and compute the state probabilities. We then explore the operational characteristics of the proposed web-server models and draw some useful conclusions.

A MULTI-SERVER RETRIAL QUEUEING MODEL WITH POISSON SIGNALS

  • CHAKRAVARTHY, SRINIVAS R.
    • Journal of applied mathematics & informatics
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    • v.39 no.5_6
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    • pp.601-616
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    • 2021
  • Retrial queueing models have been studied extensively in the literature. These have many practical applications, especially in service sectors. However, retrial queueing models have their own limitations. Typically, analyzing such models involve level-dependent quasi-birth-and-death processes, and hence some form of a truncation or an approximate method or simulation approach is needed to study in steady-state. Secondly, in general, the customers are not served on a first-come-first-served basis. The latter is the case when a new arrival may find a free server while prior arrivals are waiting in the retrial orbit due to the servers being busy during their arrivals. In this paper, we take a different approach to the study of multi-server retrial queues in which the signals are generated in such a way to provide a reasonably fair treatment to all the customers seeking service. Further, this approach makes the study to be level-independent quasi-birth-and-death process. This approach is different from any considered in the literature. Using matrix-analytic methods we analyze MAP/M/c-type retrial queueing models along with Poisson signals in steady-state. Illustrative numerical examples including a comparison with previously published retrial queues are presented and they show marked improvements in providing a quality of service to the customers.

Hydration Effect on the Intrinsic Magnetism of Natural Deoxyribonucleic Acid as Studied by EMR Spectroscopy and SQUID Measurements

  • Kwon, Young-Wan;Lee, Chang-Hoon;Do, Eui-Doo;Choi, Dong-Hoon;Jin, Jung-Il;Kang, Jun-Sung;Koh, Eui-Kwan
    • Bulletin of the Korean Chemical Society
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    • v.29 no.6
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    • pp.1233-1242
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    • 2008
  • The hydration effect on the intrinsic magnetism of natural salmon double-strand DNA was explored using electron magnetic resonance (EMR) spectroscopy and superconducting quantum interference device (SQUID) magnetic measurements. We learned from this study that the magnetic properties of DNA are roughly classified into two distinct groups depending on their water content: One group is of higher water content in the range of 2.6-24 water molecules per nucleotide (wpn), where all the EMR parameters and SQUID susceptibilities are dominated by spin species experiencing quasi one-dimensional diffusive motion and are independent of the water content. The other group is of lower water content in the range of 1.4-0.5 wpn. In this group, the magnetic properties are most probably dominated by cyclotron motion of spin species along the helical π -way, which is possible when the momentum scattering time (${\tau}_k$) is long enough not only to satisfy the cyclotron resonance condition (${\omega}_c{\tau}_k$ > 1) but also to induce a constructive interference between the neighboring double helices. The same effect is reflected in the S-shaped magnetization-magnetic field strength (M-H) curves superimposed with the linear background obtained by SQUID measurements, which leads to larger susceptibilities at 1000 G when compared with the values at 10,000 G. In particular, we propose that the spin-orbital coupling and Faraday's mutual inductive effect can be utilized to interpret the dimensional crossover of spin motions from quasi 1D in the hydrate state to 3D in the dry state of dsDNA.

Deformation and Fracture Behavior of Structural Bulk Amorphous Metal under Quasi-Static Compressive Loading (준정적 압축하에서 구조용 벌크 아몰퍼스 금속의 변형 및 파괴거동)

  • Shin, Hyung-Seop;Ko, Dong-Kyun;Oh, Sang-Yeob
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.10
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    • pp.1630-1635
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    • 2003
  • The deformation and fracture behaviors of a bulk amorphous metal, Zr-based one (Zr$\_$41.2/Ti$\_$13.8/Cu$\_$12.5/Ni$\_$10/Be$\_$22.5/: Vitreloy), were investigated over a strain rate range (7x10$\^$-4/~4 s$\^$-1/). The uniaxial compression test and the indentation test using 3mm-diameter WC balls were carried out under quasi-static loading conditions. As a result, at the uniaxial compressive state, the fracture stress of the material was very high (~1,700MPa) and the elastic strain limit was about 2%. The fracture strength showed a strain rate independent behavior up to 4 s$\^$-1/. Using indentation tests, the plastic deformation behavior of the Zr-based BAM up to a large strain value of 15% could be achieved, even though it was the deformation under locally constrained condition. The Meyer hardness of the Zr-based BAM measured by static indentation tests was about 5 GPa and it revealed negligible strain hardening behavior. At indented sites, the plastic indentation occurred forming a crater and well-developed multiple shear bands were generated around it along the direction of 45 degree when the indentation load exceeded 7kN. With increasing indentation load, shear bands became dense. The fracture surface of the specimen after uniaxial compressive tests showed vein-like pattern, typical morphology of many BAMs.

Direct Numerical Simulation of the Flow Past an Oscillating Circular Cylinder (진동하는 원주주위 유동의 직접수치해석)

  • Kang S. J.;Tanahashi M.;Miyauchi T.;Lee Y. H.
    • Journal of computational fluids engineering
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    • v.6 no.4
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    • pp.26-34
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    • 2001
  • The flow past a circular cylinder forced to vibrate transversely is numerically simulated by solving the two-dimensional Navier-Stokes equations modified by the vibration velocity of a circular cylinder at a Reynolds number of 164. The higher-order finite difference scheme is employed for the spatial discretization along with the second order Adams-Bashforth and the first order backward-Euler time integration. The calculated cylinder vibration frequency is between 0.60 and 1.30 times of the natural vortex-shedding frequency. The calculated oscillation amplitude extends to 25% of the cylinder diameter and in the case of the lock-in region it is 60%. It is made clear that the cylinder oscillation has influence on the wake pattern, the time histories of the drag and lift forces, power spectral density and phase diagrams, etc. It is found that these results include both the periodic (lock-in) and the quasi-periodic (non-lock-in) state. The vortex shedding frequency equals the driving frequency in the lock-in region but is independent in the non-lock-in region. The mean drag and the maximum lift coefficient increase with the increase of the forcing amplitude in the lock-in state. The lock-in boundaries are also established from the present direct numerical simulation.

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Direct Numerical Simulation of the Flow Past an Oscillating Circular Cylinder (진동하는 원주주위 유동의 직접수치해석)

  • KANG Shin-Jeong;TANAHASHI Mamoru;MIYAUCHI Toshio;NAM Cheong-Do;LEE Young-Ho
    • 한국전산유체공학회:학술대회논문집
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    • 2001.05a
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    • pp.181-188
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    • 2001
  • The flow past a circular cylinder forced to vibrate transversely is numerically simulated by solving the two-dimensional Wavier-Stokes equations modified by the vibration velocity of a circular cylinder at a Reynolds number of 164. The higher-order finite difference scheme is employed for the spatial discretization along with the second order Adams-Bashforth and the first order backward-Euler time integration. The calculated cylinder vibration frequency is between 0.60 and 1.30 times of the natural vortex-shedding frequency. The calculated oscillation amplitude extends to $25\%$ of the cylinder diameter and in the case of the lock-in region it is $60\%$. It is made clear that the cylinder oscillation has influence on the wake pattern, the time histories of the drag and lift forces, power spectral density and phase diagrams, etc. It is found that these results include both the periodic (lock-in) and the quasi-periodic (non-lock-in) state. The vortex shedding frequency equals the driving frequency in the lock-in region but is independent in the non-lock-in region. The mean drag and the maximum lift coefficient increase with the increase of the forcing amplitude in the lock-in state. The lock-in boundaries are also established from the present direct numerical simulation.

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Effects of a Qi Massage Program on the Physio-psychological State of Industrial Employees with Hypertension (기마사지요법이 고혈압 환자의 생리·심리적 상태에 미치는 효과)

  • Han, Yoon Ju;Kang, Kyung Sook
    • Journal of East-West Nursing Research
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    • v.20 no.2
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    • pp.73-80
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    • 2014
  • Purpose: This research aims to identify the physio-psychological effects of applying a qi massage program as an independent complementary intervention for employees with hypertension in a workplace. Methods: A quasi-experimental design was employed using a nonequivalent control group with pre- and post-tests. The study was performed from August 18 to October 10, 2008 on hypertensive employees being treated with a qi massage program in a company. The control group was recruited first to prevent treatment diffusion. The experimental group was subsequently recruited and received individual treatment for 30 minutes. Collected data was analyzed using SPSS16.0 version. ${\chi}^2$-test, Mann-Whitney U test, Wilcoxon signed ranks test, Fisher's exact test and paired t-test were implemented in order to examine the effects of individual intervention on patients who are treated with the qi massage program. Results: The experimental group showed a greater improvement in systolic blood pressure, diastolic pressure, stress, and quality of life than did the control group. Conclusion: A qi massage program may be implemented as a complementary intervention to effectively treat hypertensive persons.