• Title/Summary/Keyword: Linear Utility Function

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Determining Level-of-Service Criteria of Headway Adherence (버스 운행 정시성의 서비스수준 기준산정)

  • Go, Seung-Yeong;Park, Jun-Sik
    • Journal of Korean Society of Transportation
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    • v.23 no.2
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    • pp.151-160
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    • 2005
  • In case of public transit such as bus system, the probability concept is used to evaluate the Level-of-Service of the operations. And each levels could be classified according to the linear probability value. (TCQSM: Transit Capacity and Quality of Service Manual-2nd Edition, TRB, Washington DC., 2003) In this case, the drivers or passengers wouldn't think that the service level isn't equivalent to the linear probability value. Thus the linear probability value doesn't exactly reflect the service level. This study shows the problems of using the linear probability value in classifying the service level through the case of evaluation of bus operation's punctuality, presented in TCQSM. To make up for the problems of such case, two methodologies are presented in this study. The method of determining Level-of-Service criteria using probability density of headway variation's distribution, presented in this paper, adequately reflects passenger's expected waiting time. According to the application result to real bus operation data, it tis better than the method of TCQSM to evaluate the reliability of bus operations. However further research about the relations between utility difference and passenger feeling of service level in necessary to apply the method that uses the utility function. It remains as the limitation of this paper.

PPNC: Privacy Preserving Scheme for Random Linear Network Coding in Smart Grid

  • He, Shiming;Zeng, Weini;Xie, Kun;Yang, Hongming;Lai, Mingyong;Su, Xin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.3
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    • pp.1510-1532
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    • 2017
  • In smart grid, privacy implications to individuals and their families are an important issue because of the fine-grained usage data collection. Wireless communications are utilized by many utility companies to obtain information. Network coding is exploited in smart grids, to enhance network performance in terms of throughput, delay, robustness, and energy consumption. However, random linear network coding introduces a new challenge for privacy preserving due to the encoding of data and updating of coefficients in forwarder nodes. We propose a distributed privacy preserving scheme for random linear network coding in smart grid that considers the converged flows character of the smart grid and exploits a homomorphic encryption function to decrease the complexities in the forwarder node. It offers a data confidentiality privacy preserving feature, which can efficiently thwart traffic analysis. The data of the packet is encrypted and the tag of the packet is encrypted by a homomorphic encryption function. The forwarder node random linearly codes the encrypted data and directly processes the cryptotext tags based on the homomorphism feature. Extensive security analysis and performance evaluations demonstrate the validity and efficiency of the proposed scheme.

A Study on the Optimal City Park Planning by Using Social Welfare function (사회후생함수를 이용한 최적 도시공단 계획에 관한 연구)

  • 서주환
    • Journal of the Korean Institute of Landscape Architecture
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    • v.16 no.3
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    • pp.1-6
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    • 1989
  • The current linear programming model as for city park planning has the following intrinsic constraints. First of all, it cannot explicity consider choice behaviors of people. Secondly, the objective function of linear programming model cannot sufficiently intergrate satisfactions of people. In order to overcome these weak points of linear programming model, the following extensions have been made in this paper. First of all, bionominal and multinominal logit models based upon logit models, utility maximization of people have been constructed, Secondly, based upon logit models, social welfare function has been constructed in order to aggregate satisfactions of people. By doing this, intrinsic oonstraints of linear programming model have been successfully overcome. In the future research, empirical study of the model developed in this paper will be necessary. By doing this, the construction of optimal investment plan for city parks will be possible.

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Stochastic response spectra for an actively-controlled structure

  • Mochio, Takashi
    • Structural Engineering and Mechanics
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    • v.32 no.1
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    • pp.179-191
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    • 2009
  • A stochastic response spectrum method is proposed for simple evaluation of the structural response of an actively controlled aseismic structure. The response spectrum is constructed assuming a linear structure with an active mass damper (AMD) system, and an earthquake wave model given by the product of a non-stationary envelope function and a stationary Gaussian random process with Kanai-Tajimi power spectral density. The control design is executed using a linear quadratic Gaussian control strategy for an enlarged state space system, and the response amplification factor is given by the combination of the obtained statistical response values and extreme value theory. The response spectrum thus produced can be used for simple dynamical analyses. The response factors obtained by this method for a multi-degree-of-freedom structure are shown to be comparable with those determined by numerical simulations, demonstrating the validity and utility of the proposed technique as a simple design tool. This method is expected to be useful for engineers in the initial design stage for structures with active aseismic control.

SOME UMBRAL CHARACTERISTICS OF THE ACTUARIAL POLYNOMIALS

  • Kim, Eun Woo;Jang, Yu Seon
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.1
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    • pp.73-82
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    • 2016
  • The utility of exponential generating functions is that they are relevant for combinatorial problems involving sets and subsets. Sequences of polynomials play a fundamental role in applied mathematics, such sequences can be described using the exponential generating functions. The actuarial polynomials ${\alpha}^{({\beta})}_n(x)$, n = 0, 1, 2, ${\cdots}$, which was suggested by Toscano, have the following exponential generating function: $${\limits\sum^{\infty}_{n=0}}{\frac{{\alpha}^{({\beta})}_n(x)}{n!}}t^n={\exp}({\beta}t+x(1-e^t))$$. A linear functional on polynomial space can be identified with a formal power series. The set of formal power series is usually given the structure of an algebra under formal addition and multiplication. This algebra structure, the additive part of which agree with the vector space structure on the space of linear functionals, which is transferred from the space of the linear functionals. The algebra so obtained is called the umbral algebra, and the umbral calculus is the study of this algebra. In this paper, we investigate some umbral representations in the actuarial polynomials.

Korea-specified Maximum Expected Utility Model for the Probability of Default (기대효용최대화를 통한 한국형 기업 신용평가 모형)

  • Park, You-Sung;Song, Ji-Hyun;Choi, Bo-Seung
    • The Korean Journal of Applied Statistics
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    • v.20 no.3
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    • pp.573-584
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    • 2007
  • A well estimated probability of default is most important for constructing a good credit scoring process. The maximum expected utility (MEU) model has been suggested as an alternative of the traditional logistic regression model. Because the MEU model has been constructed using financial data arising from North America and European countries, the MEU model may not be suitable to Korean private firms. Thus, we propose a Korea-specific MEU model by estimating the parameters involved in kernel functions. This Korea-specific MEU model is illustrated using 34,057 private firms to show the performance of the MEU model relative to the usual logistic regression model.

Analysis results of the Anti-islanding Function for PV-AF System (액티브 필터기능을 갖는 3상 태양광 발전시스템의 단독운전 방지기능의 분석)

  • Kim, Gyeong-Hun;Seo, Hyo-Ryong;Jang, Seong-Jae;Park, Sang-Soo;Park, Min-Won;Yu, In-Keun;Jeon, Jin-Hong;Kim, Seul-Ki;Jo, Chang-Hee;Ahn, Jong-Bo
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.1085-1086
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    • 2008
  • Shunt active filter can compensate harmonic current of utility results from non-linear loads such as rectifiers, cycloconverters and arc furnaces. It has the same structure as photovoltaic(PV) generation system. So, It was proposed the system that generates PV power and also has active filter function. It is called PV-AF(Photovoltaic and Active Filter) power generation system. Islanding can be occurred in an inverter based dispersed generation system, when the system disconnected from utility and loads are entirely supplied by PV system only. Islanding may result in interference to grid protection devices, equipment damage, and even personnel safety hazards. Therefore, islanding has to be detected and protected. The conventional anti-islanding methods have NDZ(None-Detection Zone) or power quality degradation. But PV-AF power generation system has the function of not only shunt active filter but also anti-islanding method without NDZ. In this paper, a novel anti-islanding method for PV-AF system is proposed and analysed in detail.

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The Design of Optimal Recall Insurance Product (최적 리콜보험상품 설계에 관한 연구)

  • 김두철
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.3 no.4
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    • pp.325-332
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    • 2002
  • In the process of designing pareto optimal insurance contract, it is necessary to assume that insurance contract conditions are endogenous to build a model. The expected utility, the non-expected utility and the state-dependent utility function can be applied as a insurance decision making principle. The insurance costs may have the linear, convex, and concave ralationship with the indemnity schedule. However, the sunk cost and fixed cost must be recognized. The deductible which decides whether an insurance contract to be a full or partial insurance contract can exist in the forms of straight deductible or diminishing deductible. Indeciding the level of deductible, the types of the insurance and the risks to be insured should be the deciding factors. Especially for recall insurance, there is relatively high chance that the recalling company being bankrupt. Therefore, the possibility of bankrupcy should be the considering factor in deciding the policy limit. The existence of the incomplete market and uninsurable background risk should be understood as restricting conditions of the pareto-optimal insurance contract.

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A New Chance-Constrained Programming Approach to Capital Budgeting (확률제약조건계획법(確率制約條件計劃法)을 이용(利用)한 자본예산모형(資本豫算模型))

  • Lee, Ju-Ho
    • Journal of Korean Institute of Industrial Engineers
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    • v.6 no.2
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    • pp.21-29
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    • 1980
  • This paper deals with the capital budgeting problem of a firm where investments are risky and interrelated. The established models might be classified into two categories; One is the chance-constrained programming model and the other is the expected utility maximization model. The former has a rather limited objective function and does not consider the risk in direct manner. The latter, on the other hand, might lead to a wrong decision because it uses an approximate value of expected utility. This paper attempts to extend the applicability of the chance-constrained programming model by modifying its objective function into a more general form. The capital budgeting problem is formulated as a nonlinear 0-1 integer programming problem first, and is formulated into a linear 0-1 integer programming problem for finding a lower-bound solution of the original problem. The optimal solution of the original problem is then obtained by branch & bound algorithm.

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New Method for Predicting the 1 dB Gain Compression Point (1dB 이득 억압점을 예측하기 위한 새로운 방법)

  • 방준호;엄순영;김석태;김동용
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.9
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    • pp.1793-1801
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    • 1994
  • In this paper, a new method for predicting the 1 dB gain compression point of cascaded N amplifiers is proposed. With the proposed method, the transfer function of each amplifier is derived from scalar data available from the manufacturers data sheet and all transfer functions are producted with scalar in order to also derive the overall transfer function of the subsystem under the assumption that the input and output port of each amplifier are matched. Therefore, the 1 dB gain compression point of the subsystem can be predicted or estimated, reversely, utilizing the overall transfer function obtained with the proposed method. The proposed method can be used irrespective of the number of scalar data but, in this paper, it is analyzed only with two scalar data (linear power gain and 1 dB gain compression point) and three scalar data(linear power gain, 1 dB and 0.5 dB gain compression points). With two sample amplifiers operated in Ku-band, the predicted results by the proposed and previous method, respectively, and the experimental results are together presented in order to confirm its utility.

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