• Title/Summary/Keyword: Maximization

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PORTFOLIO AND CONSUMPTION OPTIMIZATION PROBLEM WITH COBB-DOUGLAS UTILITY AND NEGATIVE WEALTH CONSTRAINTS

  • ROH, KUM-HWAN
    • Journal of applied mathematics & informatics
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    • v.36 no.3_4
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    • pp.301-306
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    • 2018
  • I obtain the optimal portfolio and consumption strategies of an investor who have a Cobb-Douglas utility function. And I assume that there is negative wealth constraints. This constraints mean that the investor can borrow partially against her future labor income.

AN OPTIMAL CONSUMPTION AND INVESTMENT PROBLEM WITH CES UTILITY AND NEGATIVE WEALTH CONSTRAINTS

  • Roh, Kum-Hwan
    • East Asian mathematical journal
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    • v.34 no.3
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    • pp.331-338
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    • 2018
  • We investigate the optimal consumption and portfolio strategies of an agent who has a constant elasticity of substitution (CES) utility function under the negative wealth constraint. We use the martingale method to derive the closed-form solution, and we give some numerical implications.

PERMUTATIONS WITH PARTIALLY FORBIDDEN POSITIONS

  • Hwang, Suk-Geun
    • Journal of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.793-806
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    • 2001
  • In this paper we consider the enumeration problem of permutations with partially forbidden positions, generalizing the notion of permutations with forbidden positions. .As an alternative approach to this problem, we investigate the permanent maximization problem over some classes of (0,1)-matrices which have a given number of 1's some of which lie in prescribed positions.

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Statistical Model for Emotional Video Shot Characterization (비디오 셧의 감정 관련 특징에 대한 통계적 모델링)

  • 박현재;강행봉
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.12C
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    • pp.1200-1208
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    • 2003
  • Affective computing plays an important role in intelligent Human Computer Interactions(HCI). To detect emotional events, it is desirable to construct a computing model for extracting emotion related features from video. In this paper, we propose a statistical model based on the probabilistic distribution of low level features in video shots. The proposed method extracts low level features from video shots and then from a GMM(Gaussian Mixture Model) for them to detect emotional shots. As low level features, we use color, camera motion and sequence of shot lengths. The features can be modeled as a GMM by using EM(Expectation Maximization) algorithm and the relations between time and emotions are estimated by MLE(Maximum Likelihood Estimation). Finally, the two statistical models are combined together using Bayesian framework to detect emotional events in video.

Effects of Commonality Strategy in Product Line Design on Social Welfare (제품군 디자인에서 공통속성의 활용이 사회적 효용에 미치는 영향)

  • Kim, Kil-Sun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.33 no.3
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    • pp.77-92
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    • 2008
  • Commonality strategy is a popular design practice in designing a product line as it enables the firm cost saving and simplification in design, manufacturing, and distribution processes. However the issue of commonality has been mostly analyzed from a profit maximizing firm's perspective and, to our knowledge, there is no literature that deals with the issue from a different perspective. in this paper, we consider the issue of commonality strategy from a social welfare maximization perspective, and argue that commonality strategy used in designing of public goods can bring certain benefits not just for a firm but also for consumers, i.e., for society as a whole. While we assume certain cost saving in production process due to economies of scale under commonality strategy, we conceptualize two different effects of commonality strategy, utility effect due to cost saving and weighted-averaging effect, and show how these two effects interplay to determine the design of common attribute and desirability of commonality strategy. We also discuss how the implementation of commonality strategy differs under different objectives of a product line designer : social welfare and firm's profit maximization.

A Leakage-Based Solution for Interference Alignment in MIMO Interference Channel Networks

  • Shrestha, Robin;Bae, Insan;Kim, Jae Moung
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.2
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    • pp.424-442
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    • 2014
  • Most recent research on iterative solutions for interference alignment (IA) presents solutions assuming channel reciprocity based on the suppression of interference from undesired sources by using an appropriate decoding matrix also known as a receiver combining matrix for multiple input multiple output (MIMO) interference channel networks and reciprocal networks. In this paper, we present an alternative solution for IA by designing precoding and decoding matrices based on the concept of signal leakage (the measure of signal power that leaks to unintended users) on each transmit side. We propose an iterative algorithm for an IA solution based on maximization of the signal-to-leakage-and-noise ratio (SLNR) of the transmitted signal from each transmitter. In order to make an algorithm removing the requirement of channel reciprocity, we deploy maximization of the signal-to-interference-and-noise ratio (SINR) in the design of the decoding matrices. We show through simulation that minimizing the leakage in each transmission can help achieve enhanced performance in terms of aggregate sum capacity in the system.

A Study on the Principle of Rationalization in Fisheries Management (어업경영합리화의 원리에 대한 고찰)

  • 공용식
    • The Journal of Fisheries Business Administration
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    • v.14 no.1
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    • pp.1-18
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    • 1983
  • This study has examined the principle of rationalization as a guiding principle in fisheries management. Generally speaking, the guiding principle of business management is the principle of profitability which is oriented to the profit maximization, but it has been insisted by Dr, Mohri that the principle of profitability should be translated into the maximization of ratio of added value on gross capital, According to Dr. Durcker, added value (contributed value) can be used to analyze productivity only if the allocation of costs which together make up the figures is economically meaningful. Therefore, the rationalization of fisheries management can be measured as a result of economic allocation of costs, The analysis of economic allocation of costs divides into macro-allocation of costs and micro-allocation of costs. In fisheries management, the former makes use of the analysis of break-even point, and the latter analyzes the efficiency of individual cost respectively and the state of division of costs which allocate into above-the-line expenses of lay system and management's burden expenses. In macro-allocation of costs, it is advisable that fixed costs be converted into variable costs. This is characteristically possible in fisheries management, because wages belong to variable costs in fisheries management while they are regarde as fixed cost in the other industires. Because we could find that all costs would belong to above-the-line expenses, in micro-allocation analysis, the very costs which are directly related to fisherman's poduction activity should be classified into above-the-line expenses, and the other costs into management's burden expenses. This is a central problem in the rationalization of fisheries management.

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