• Nonlinear Functional Analysis and Applications
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• 제29권1호
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• pp.47-56
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• 2024

It is well known that inequalities enable us to analyze and solve complex problems with precision and efficiency. The inequalities provide powerful tools for establishing bounds, optimizing solutions, and deepening our understanding of mathematical concepts, paving the way for advancements in areas such as optimization, analysis, and probability theory. In this paper, we present some properties for Hadamard-Simpsons type inequalities in the classic integral and Riemann-Liouville fractional integral. We use the convexity of the given function and its first derivative.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2000년도 추계학술발표회 논문집
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• pp.105-108
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• 2000

We consider a Markovian retrial queue with waiting space in which the service rates and retrial rates depend on the number of customers in the service facility and in the orbit, respectively. Each arriving customer from outside or orbit decide either to enter the facility or to join the orbit in Bernoulli manner whose entering probability depend on the number of customers in the service facility. In this paper, a stochastic order relation between two bivariate processes (C(t), N(t)) representing the number of customers C(t) in the service facility and N(t) one in the orbit is deduced in terms of corresponding parameters by constructing the equivalent processes on a common probability space. Some applications of the results to the stochastic bounds of the multi-server retrial model are presented.

• Journal of the Korean Statistical Society
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• 제29권4호
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• pp.473-488
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• 2000

We consider a Markovian retrial queue with waiting space in which the service rates and retrial rates depend on the number of customers in the service facility and in the orbit, respectively. Each arriving customer from outside or orbit decide either to enter the facility or to join the orbit in Bernoulli manner whose entering probability depend on the number of customers in the service facility. In this paper, a stochastic order relation between two bivariate processes(C(t), N(t)) representing the number of customers C(t) in the service facility and one N(t) in the orbit is deduced in terms of corresponding parameters by constructing the equivalent processes on a common probability space. some applications of the results to the stochastic bounds of the multi-server retrial model are presented.

• Journal of Communications and Networks
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• 제15권6호
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• pp.614-634
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• 2013

The proliferation of real-time multimedia services requires huge amounts of data transactions demanding strict quality-of-service (QoS) guarantees. Multicast transmission is a promising technique because of its efficient network resource utilization. However, high head-of-line (HOL) blocking probability and lack of service-specific QoS control should be addressed for practical implementations of multicast networks. In this paper, a topology aware fanout set division (TAFD) scheme is proposed to resolve these problems. The proposed scheme is composed of two techniques that reduce HOL blocking probability and expedite packet delivery for large-delay branches regarding multicast tree topology. Since management of global topology information is not necessary, scalability of the proposed scheme is guaranteed. Mathematical analysis investigates effects of the proposed scheme and derives optimal operational parameters. The evaluation results show that the TAFD scheme achieves significant delay reduction and satisfies required delay bounds on various multicast networks.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1999년도 하계학술대회 논문집 G
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• pp.3239-3241
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• 1999

Two-dimensional optical code-division multiple access is a system to transmit a two- dimensional data via parallel transmission line. The probability density function (pdf) of interference noise from other users is calculated and the pdf of asynchronous interference noise is newly calculated to present lower bounds of probability of error. The corresponding bit error rate is evaluated from this results.

• Journal of the Korean Data and Information Science Society
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• 제26권4호
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• pp.857-864
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• 2015

데이터 마이닝은 다양한 형태의 방대한 데이터 집합으로부터 보이지 않는 지식이나 새로운 법칙을 발견한 후, 이를 바탕으로 의사결정 등을 위한 정보로 활용하고자 하는 것이다. 데이터 마이닝 기법중의 하나인 군집 분석은 거리 또는 유사성 측도를 이용하여 집단을 분류하고, 구분된 각 집단의 특성을 파악하기 위한 기법이다. 본 논문에서는 주변 확률이 일부 포함된 확률적 흥미도 측도 기반의 유사성 측도들인 Peirce I, Peirce II, Cole I, Cole II, 그리고 이들을 응용한 Park I 및 Park II에 대한 대소 관계를 수식의 증명뿐만 아니라 예제 데이터에 의해서도 규명하였다. 그 결과, Cole I과 Cole II의 측도를 동시에 고려한 Loevinger 측도가 기존의 측도들 중에서는 상한이 되나 Park I 및 Park II를 함께 고려했을 경우에는 동시발생비율, 동시 비발생비율, 그리고 두 가지 형태의 불일치비율의 크기에 따라 변한다는 사실을 확인하였다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제8권12호
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• pp.4432-4450
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• 2014

It is widely observed that in practical wireless cooperative communication systems, different links may experience different fading characteristics. In this paper, we investigate into the outage probability and channel capacity of two-way amplify-and-forward (TWAF) relaying systems operating over a mixed asymmetric Rician and Rayleigh fading scenario, with different amplification policies (AP) adopted at the relay, respectively. As TWAF relay network carries concurrent traffics towards two opposite directions, both end-to-end and overall performance metrics were considered. In detail, both uniform exact expressions and simplified asymptotic expressions for the end-to-end outage probability (OP) were presented, based on which the system overall OP was studied under the condition of the two source nodes having non-identical traffic requirements. Furthermore, exact expressions for tight lower bounds as well as high SNR approximations of channel capacity of the considered scenario were presented. For both OP and channel capacity, with different APs, effective power allocation (PA) schemes under different constraints were given to optimize the system performance. Extensive simulations were carried out to verify the analytical results and to demonstrate the impact of channel asymmetry on the system performance.

• ETRI Journal
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• 제38권1호
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• pp.70-80
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• 2016

This paper addresses the problem of robust waveform design for distributed multiple-radar systems (DMRSs) based on low probability of intercept (LPI), where signal-to-interference-plus-noise ratio (SINR) and mutual information (MI) are utilized as the metrics for target detection and information extraction, respectively. Recognizing that a precise characterization of a target spectrum is impossible to capture in practice, we consider that a target spectrum lies in an uncertainty class bounded by known upper and lower bounds. Based on this model, robust waveform design approaches for the DMRS are developed based on LPI-SINR and LPI-MI criteria, where the total transmitting energy is minimized for a given system performance. Numerical results show the effectiveness of the proposed approaches.

• 대한산업공학회지
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• 제25권2호
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• pp.162-172
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• 1999

For VBR video traffic, Motion-Picture Experts Group(MPEG) coding algorithm was adopted as the standard coding algorithm by International Telecommunication Union(ITU). In this paper, we propose a traffic model of an MPEG coded video traffic in frame level and cell level, and develop an approximate model for evaluating performance of a ATM multiplexer with homogeneous MPEG video sources by considering burst-level variation of aggregated traffics. For homogeneous MPEG video traffics which are frame-synchronized, the performance of the ATM multiplexer is influenced by source correlation at the multiplexing time. When sources are highly correlated, we decompose the aggregated cell streams by the frame-type and model multiplexing process during a frame time as n*D/D/1/K queueing model and suggest an approximate method for obtaining CLP of the ATM multiplexer. In the case that sources are highly correlated, the solution has the meaning of the upper bounds of performance of the ATM multiplexer. For the verification of our model, we compare the solution of our model with simulation resets. As the number of sources increases. The CLP obtained from our model approaches to simulation results, and gives upper bounds of simulation results.

• 한국지반공학회지:지반
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• 제2권3호
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• pp.67-78
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• 1986

철근 콘크리트 얕은 기초 구조물의 파괴유형을 지반에 대해서는 지지력(BCM), 여밀 침하량 (CSM), R.C. slab에 대해서는 moment (MFM) 및 사인장 전단파괴(PCM) 등의 유형으로 설정하였다. 그런데, 이 4개의 서로 다른 유형에는 작용되는 하중 기초의 폭 및 깊이가 공통으로 입력되는 설계변수들이므르, 이 공통 설계변수들이 차지는 파괴영역을 고려하여 system reliability를 해석하 는 방법을 제시하였다. 또한 제시된 방법에 의해 대표적인 얕은 기초 구조물에 대한 신뇌도를 해석 한 바, 1. 단-거훈함수에 대한 신뢰지수는 CSM이 가장 낮고, 가장 안정한 상태는 PCM이었으며, BCM 및 MFM의 파괴확률은 유사하고 CSM과 PSM의 중간 정도였다. 2. 유상관 파괴유형에 대해서는, 이계법에 의한 윤독지수의 범익가 일계법에 비해서 러 쫍고 그 하한치가 더 크게 평여된다. 따라서, 구조물에 대한 통체적인 신뇌도는 파괴유형들 사이의 공분산 이 고려된 이계법으로 해석해야 과소허가될 위험이 없음을 알았다.