• Title/Summary/Keyword: zero-sum

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A Study on Generation of Stochastic Rainfall Variation using Multivariate Monte Carlo method (다변량 Monte Carlo 기법을 이용한 추계학적 강우 변동 생성기법에 관한 연구)

  • Ahn, Ki-Hong;Han, Kun-Yeun
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.3
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    • pp.127-133
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    • 2009
  • In this study, dimensionless-cumulative rainfall curves were generated by multivariate Monte Carlo method. For generation of rainfall curve rainfall storms were divided and made into dimensionless type since it was required to remove the spatial and temporal variances as well as differences in rainfall data. The dimensionless rainfall curves were divided into 4 types, and log-ratio method was introduced to overcome the limitations that elements of dimensionless-cumulative rainfall curve should always be more than zero and the sum total should be one. Orthogonal transformation by Johnson system and the constrained non-normal multivariate Monte Carlo simulation were introduced to analyse the rainfall characteristics. The generative technique in stochastic rainfall variation using multivariate Monte Carlo method will contribute to the design and evaluation of hydrosystems and can use the establishment of the flood disaster prevention system.

Cost Function of Congestion-Prone Transportation Systems (혼잡현상을 갖는 교통체계의 비용함수)

  • Mun, Dong-Ju;Kim, Hong-Bae
    • Journal of Korean Society of Transportation
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    • v.25 no.6
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    • pp.209-230
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    • 2007
  • This paper analyzed the social cost function of a congestion-prone service system, which is developed from the social cost minimization problem. The analysis focused on the following two issues that have not been explicitly explored in the previous studies: the effect of the heterogeneity of value-of-travel-times among customers on the structure of cost functions; and the structure of the supplier cost function constituting the social cost function. The analysis gave a number of findings that could be summarized as follows. First, the social marginal cost for one unit increase in system output having a certain value-of-travel-time is the sum of the service time cost for that value-of-travel-time and the marginal congestion cost for the average value-of-service-time of all the system outputs. Second, the marginal congestion cost equals the marginal supplier cost of system output under the condition that supplier compensates the customers for the changed service time costs which is incurred by the marginal capacity increase necessary for economically facilitating an additional system output. Third, the compensated marginal cost is the multiple of the marginal capacity cost and the inverse of system utilization ratio, if the service time function is homogeneous of degree zero in its inputs.

Prediction of Dormancy Release and Bud Burst in Korean Grapevine Cultivars Using Daily Temperature Data (기온자료에 근거한 주요 포도품종의 휴면해제 및 발아시기 추정)

  • Kwon Eun-Young;Song Gi-Cheol;Yun Jin I.
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.7 no.3
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    • pp.185-191
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    • 2005
  • An accurate prediction of dormancy release and bud burst in temperate zone fruit trees is indispensable for farmers to plan heating time under partially controlled environments as well as to reduce the risk of frost damage in open fields. A thermal time-based two-step phenological model that originated in Italy was applied to two important grapevine cultivars in Korea for predicting bud-burst dates. The model consists of two sequential periods: a rest period described by chilling requirement and a forcing period described by heating requirement. It requires daily maximum and minimum temperature as an input and calculates daily chill units (chill days in negative sign) until a pre-determined chilling requirement for rest release is met. After the projected rest release date, it adds daily heat units (anti-chill days in positive sign) to the chilling requirement. The date when the sum reaches zero isregarded as the bud-burst in the model. Controlled environment experiments using field sampled twigs of 'Campbell Early' and 'Kyoho' cultivars were carried out in the vineyard at the National Horticultural Research Institute (NHRI) in Suwon during 2004-2005 to derive the model parameters: threshold temperature for chilling and chilling requirement for breaking dormancy. The model adjusted with the selected parameters was applied to the 1994-2004 daily temperature data obtained from the automated weather station in the NHRI vineyard to estimate bud burst dates of two cultivars and the results were compared with the observed data. The model showed a consistently good performance in predicting the bud burst of 'Campbell Early' and 'Kyoho' cultivars with 2.6 and 2.5 days of root mean squared error, respectively.

Hybrid Scheduling in Millimeter Wave Full-Duplex Systems (밀리미터파 전 이중 시스템에서의 혼성 스케줄링)

  • Mai, Vien V.;Kim, Juyeop;Choi, Sang Won;Shin, Won-Yong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.20 no.1
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    • pp.52-57
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    • 2016
  • We introduce a hybrid scheduling in a multi-path poor scattering full-duplex (FD) system, which consists of one multi-antenna FD base station and a large number of single-antenna half-duplex mobile stations. Our hybrid scheduling utilizes partial channel state information at the transmitter. In particular, unlike the conventional scheduling method using opportunistic transmission for both uplink and downlink, the proposed scheme combines a random transmit beamforming for downlink and a zero forcing beamforming for uplink. As our main result, via computer simulations, it is shown that the proposed scheme has a superior sum-rate performance than that of the conventional scheduling method beyond a certain signal-to-noise ratio regime.

A Game Theoretic Approach to the Channel Conflict Due to the Subsidies for Mobile Handsets (단말기보조금에 따른 경로갈등에 대한 게임이론적 접근)

  • Joo, Young-Jin
    • Journal of Distribution Research
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    • v.11 no.4
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    • pp.31-48
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    • 2006
  • This study was motivated by a recent channel conflict on subsidies for mobile handset between a service provider and a handset manufacturer in the mobile communication market. In this study, we have developed a two-person non-zero sum game for the channel conflict on subsidies for mobile handset, and derived its optimal strategic game solution. As a result, we have found that, between the service operator and the handset manufacturer, one who has high level of market leadership in his own market has a power to affect the optimal strategic game solution. We have also found that, when the service operator and the handset manufacturer have relatively high level of market leadership in their own market, there exist both of potential channel conflict and cooperation. The result of this study may provide an effective reference for a solution of similar channel conflicts.

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Stiffness Analysis of a Low-DOF Parallel Manipulator including the Elastic Deformations of Both Joints and Links (ICCAS 2005)

  • Kim, Han-Sung;Shin, Chang-Rok;Kyung, Jin-Ho;Ha, Young-Ho;Yu, Han-Sik;Shim, Poong-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.631-637
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    • 2005
  • This paper presents a stiffness analysis method for a low-DOF parallel manipulator, which takes into account of elastic deformations of joints and links. A low-DOF parallel manipulator is defined as a spatial parallel manipulator which has less than six degrees of freedom. Differently from the case of a 6-DOF parallel manipulator, the serial chains in a low-DOF parallel manipulator are subject to constraint forces as well as actuation forces. The reaction forces due to actuations and constraints in each limb can be determined by making use of the theory of reciprocal screws. It is shown that the stiffness model of an F-DOF parallel manipulator consists of F springs related to the reciprocal screws of actuations and 6-F springs related to the reciprocal screws of constraints, which connect the moving platform to the fixed base in parallel. The $6{times}6$ stiffness matrix is derived, which is the sum of the stiffness matrices of actuations and constraints. The six spring constants can be precisely determined by modeling the compliance of joints and links in a serial chain as follows; the link can be considered as an Euler beam and the stiffness matrix of rotational or prismatic joint can be modeled as a $6{times}6$ diagonal matrix, where one diagonal element about the rotation axis or along the sliding direction is zero. By summing the elastic deformations in joints and links, the compliance matrix of a serial chain is obtained. Finally, applying the reciprocal screws to the compliance matrix of a serial chain, the compliance values of springs can be determined. As an example of explaining the procedure, the stiffness of the Tricept parallel manipulator has been analyzed.

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Characteristics of thunderstorms relevant to the wind loading of structures

  • Solari, Giovanni;Burlando, Massimiliano;De Gaetano, Patrizia;Repetto, Maria Pia
    • Wind and Structures
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    • v.20 no.6
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    • pp.763-791
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    • 2015
  • "Wind and Ports" is a European project that has been carried out since 2009 to handle wind forecast in port areas through an integrated system made up of an extensive in-situ wind monitoring network, the numerical simulation of wind fields, the statistical analysis of wind climate, and algorithms for medium-term (1-3 days) and short term (0.5-2 hours) wind forecasting. The in-situ wind monitoring network, currently made up of 22 ultrasonic anemometers, provides a unique opportunity for detecting high resolution thunderstorm records and studying their dominant characteristics relevant to wind engineering with special concern for wind actions on structures. In such a framework, the wind velocity of thunderstorms is firstly decomposed into the sum of a slowly-varying mean part plus a residual fluctuation dealt with as a non-stationary random process. The fluctuation, in turn, is expressed as the product of its slowly-varying standard deviation by a reduced turbulence component dealt with as a rapidly-varying stationary Gaussian random process with zero mean and unit standard deviation. The extraction of the mean part of the wind velocity is carried out through a moving average filter, and the effect of the moving average period on the statistical properties of the decomposed signals is evaluated. Among other aspects, special attention is given to the thunderstorm duration, the turbulence intensity, the power spectral density and the integral length scale. Some noteworthy wind velocity ratios that play a crucial role in the thunderstorm loading and response of structures are also analyzed.

A Framework to Determine the Loan Rate of the Government Loan Program based on Rationales of the Government Loan Program (정책자금 정당성에 근거한 정책자금의 대출금리 결정 방안)

  • Yoon, Byung-Seop;Yoo, Shi-Yong
    • 한국벤처창업학회:학술대회논문집
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    • 2007.11a
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    • pp.81-109
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    • 2007
  • The loan rate of the government loan program offered by the Small Business Corporation(SBC) can be determined as a sum of three factors such as a reference interest rate, a policy aim spread, and a credit risk spread. However the loan rate has been lower than the loan rate in the banking sector. The profit has continually run in the red figures and hence the stability the fund managed by the SBC has been damaged. Even though a policy aim spread could be emphasized, the stability and profitability of the fund should be prioritized. This means that the loan rate of the SBC should be determined such that the loss might not be occurred. This requires the policy aim spread to change from relatively large negative to near zero.

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A study on how to discriminate the polarities of stator windings for 3 phase induction motors by using induced voltages based on residual magnetism (잔류자기 유도 기전력을 이용한 3상유도전동기 권선의 극성 판별법에 관한 연구)

  • Choi, Soon-Man
    • Journal of Advanced Marine Engineering and Technology
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    • v.38 no.9
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    • pp.1146-1149
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    • 2014
  • To discriminate polarities of stator windings for 3 phase induction motors terminal tags of which are not readable, it is possible to utilize the residual magnetic flux present at their rotors as well as to use the way based on external exciting current. The induced voltages are basically decided by parameters such as the quantity of residual flux, the rotator speed by hand force and the phase properties between stator windings. To adopt induced voltages by residual flux for polarity discrimination at sites, the measured voltages by multi-testers need to be readable in magnitude enough to discriminate winding condition with reasonable phase characteristics. This study focuses on the analysis of various connection cases in the expectation that the summing voltages induced by residual flux shall show zero in case of normal connections while the sum becomes greater indication if the connection is in wrong condition. The proposed method is applied to actual motors to disclose how effective it is for polarity discrimination at sites through comparison of output signals between normal and fault connections.

Design of Rollover Prevention Controller Using Game-Theoretic Approach (미분게임 이론을 이용한 차량 전복 방지 제어기 설계)

  • Yim, Seongjin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.11
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    • pp.1429-1436
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    • 2013
  • This study presents an approach for designing a vehicle rollover prevention controller using differential game theory and multi-level programming. The rollover prevention problem can be modeled as a non-cooperative zero-sum two-player differential game. A controller as an equilibrium solution of the differential game guarantees the worst-case performance against every possible steering input. To obtain an equilibrium solution to the differential game with a small amount of computational effort, a multi-level programming approach with a relaxation procedure is used. To cope with the loss of maneuverability caused by the active suspension, an electronic stability program (ESP) is adopted. Through simulations, the proposed method is shown to be effective in obtaining an equilibrium solution of the differential game.