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Realizing the ＂utility maximization＂ of periodical class

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Sino-US English Teaching 2007年第5期4卷 30-32页

作者：刘艳荣大速外国语学院应用英语学院辽宁大速116001

With the popularization of college education, the English level of freshmen majoring in English language has been declining. To maintain the required English level of the graduates, training the English language skill should underlie every English course offered. As an advanced comprehensive course, the course-Reading Newspapers and Magazines in English-is supposed to train the skills of its students in every aspect as possible. This task should be the focal point to be considered when the teacher is involved in instructional design. This paper intends to introduce some methods on how to combine English skill training and English newspaper reading together.

关键词： instructional design English proficiency skills English news utility maximization

Research and Analysis of Tourist utility maximization and Playground Profit maximization

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Research and Analysis of Tourist Utility Maximization and Pl...

Decision Aid Model for Private-owned Electric Vehicles Participating in Frequency Regulation Ancillary Service Market

作者： Yan Zhang Xiaodan Hou Kaixi Ji Shanxi University of Finance and Economics School of Economics and Finance Shanxi University of Finance and Economics Institute of statostics

With the improvement of people’s living standards and quality,playgrounds need to not only maximize their own profitability as a strategic goal in terms of fare sales and amusement facilities construction,but also need to meet consumer demand for maximum entertainment *** on these two goals,this article uses the daily number of tourists in 2018 as the base period to make consumption behavior and fare predictions,and gives related *** article first uses the exponential smoothing method to calculate the initial forecast of the number of summer vacation and National Day visitors,and then combine the data from the first five months of the biennium to find the actual forecast value and determine the date with the largest number of *** build a gray forecasting model to get the initial forecast value,and finally get the forecast result of the number of visitors on August 5,*** use AHP method to explore the best scheme to play under the conditions of purchasing a ***,compare the pass price and the total cost of the project from the perspective of the operator,and then combine the actual situation to determine that the setting of the ticket is necessary.

关键词： average waiting time and queue number utility maximization exponential smoothing method grey prediction method analytic hierarchy process

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Journal of Modern Power Systems and Clean Energy 2024年第2期12卷 621-629页

作者： Liwei Wang Yingyun Sun Haotian Wang Pengfei Zhao Muhammad Safwan Jaffar School of Electrical and Electronic Engineering North China Electric Power UniversityBeijing 102206China

To reduce the difficulty and enhance the enthusiasm of private-owned electric vehicles(EVs) in participating in frequency regulation ancillary service market(FRASM), a decision aid model(DAM) is proposed. This paper presents three options for EV participating in FRASM, i. e., the base mode(BM), unidirectional charging mode(UCM), and bidirectional charging/discharging mode(BCDM), based on a reasonable simplification of users' participating willingness. In BM, individual EVs will not be involved in FRASM, and DAM will assist users to set the optimal charging schemes based on travel plans under the time-of-use(TOU) price. UCM and BCDM are two modes in which EVs can take part in FRASM. DAM can assist EV users to create their quotation plan, which includes hourly upper and lower reserve capabilities and regulation market mileage prices. In UCM and BCDM, the difference is that only the charging rate can be adjusted in the UCM, and the EVs in BCDM can not only charge but also discharge if necessary. DAM can estimate the expected revenue of all three modes, and EV users can make the final decision based on their preferences. Simulation results indicate that all the three modes of DAM can reduce the cost, while BCDM can get the maximum expected revenue.

关键词： Electric vehicle(EV) frequency regulation decision aid model(DAM) utility maximization battery wear cost

Optimal Investment Problem for an Insurer and a Reinsurer

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Journal of Systems Science & Complexity 2015年第6期28卷 1326-1343页

作者： LI Danping RONG Ximin ZHAO Hui School of Science Tianjin University Center for Applied Mathematics Tianjin Uni-versity

This paper studies the optimal investment problem for an insurer and a reinsurer. The basic claim process is assumed to follow a Brownian motion with drift and the insurer can purchase proportional reinsurance from the reinsurer. The insurer and the reinsurer are allowed to invest in a risk-free asset and a risky asset. Moreover, the authors consider the correlation between the claim process and the price process of the risky asset. The authors first study the optimization problem of maximizing the expected exponential utility of terminal wealth for the insurer. Then with the optimal reinsurance strategy chosen by the insurer, the authors consider two optimization problems for the reinsurer： The problem of maximizing the expected exponential utility of terminal wealth and the problem of minimizing the ruin probability. By solving the corresponding Hamilton-Jacobi-Bellman equations, the authors derive the optimal reinsurance and investment strategies, explicitly. Finally, the authors illustrate the equality of the reinsurer＇s optimal investment strategies under the two cases.

关键词： Hamilton-Jacobi-Bellman equation optimal reinsurance and investment strategies proportional reinsurance ruin probability utility maximization

The Convergence Rate from Discrete to Continuous Optimal Investment Stopping Problem

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Chinese Annals of Mathematics,Series B 2021年第2期42卷 259-280页

作者： Dingqian SUN School of Mathematical Sciences Fudan UniversityShanghai 200433China

The author studies the optimal investment stopping problem in both continuous and discrete cases, where the investor needs to choose the optimal trading strategy and optimal stopping time concurrently to maximize the expected utility of terminal *** on the work of Hu et al.(2018) with an additional stochastic payoff function,the author characterizes the value function for the continuous problem via the theory of quadratic reflected backward stochastic differential equations(BSDEs for short) with unbounded terminal condition. In regard to the discrete problem, she gets the discretization form composed of piecewise quadratic BSDEs recursively under Markovian framework and the assumption of bounded obstacle, and provides some useful a priori estimates about the solutions with the help of an auxiliary forward-backward SDE system and Malliavin calculus. Finally, she obtains the uniform convergence and relevant rate from discretely to continuously quadratic reflected BSDE, which arise from corresponding optimal investment stopping problem through above characterization.

关键词： Optimal investment stopping problem utility maximization Quadratic reflected BSDE Discretely reflected BSDE Convergence rate

Intelligent Task Offloading and Collaborative Computation over D2D Communication

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China Communications 2021年第3期18卷 251-263页

作者： Cuili Jiang Tengfei Cao Jianfeng Guan Department of Computer Technology and Applications Qinghai UniversityXining 810016China School of Computer Science(National Pilot Software Engineering School) Beijing University of Posts and TelecommunicationsBeijing 100876China

In this paper,the problem of computation offloading in the edge server is studied in a mobile edge computation(MEC)-enabled cell networks that consists of a base station(BS)integrating edge servers,several terminal devices and *** the considered networks,we develop an intelligent task offloading and collaborative computation scheme to achieve the optimal computation ***,a distance-based collaborator screening method is proposed to get collaborators within the distance threshold and with high ***,based on the Lyapunov stochastic optimization theory,the system stability problem is transformed into a queue stability issue,and the optimal computation offloading is obtained by solving these three sub-problems:task allocation control,task execution control and queue update,***,rigorous experimental simulation shows that our proposed computation offloading algorithm can achieve the joint optimization among the system efficiency,energy consumption and time delay compared to the mobility-aware and migration-enabled approach,Full BS and Full local.

关键词： utility maximization lyapunov optimization task offloading mobile edge computing

On Fair Prices of a Contingent Claim with Random Interval Payoff

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Journal of Donghua University(English Edition) 2013年第2期30卷 153-157页

作者：尤苏蓉施佳妤 College of Science Donghua University

In order to get the price of a contingent claim with random interval payoff, a concept of fair price was proposed based on weighted expected utility maximization. After setting up a programming model of maximizing the weighted expected utility involving basic securities and contingent claim,and using techniques in optimization analysis,explicit expressions of the fair price interval for a contingent claim were derived. Relations between acceptable price interval and fair price interval were discussed. It is shown that all fair prices fit the demand for acceptability of a market.

关键词： utility maximization weighted expected utility randominterval fair price

Information uncertainty related to marked random times and optimal investment

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Probability, Uncertainty and Quantitative Risk 2018年第1期3卷 85-108页

作者： Ying Jiao Idris Kharroubi Universite ClaudeBernard-Lyon 1 Institutde Science Financiere et d’Assurances50 Avenue Tony Garnier69007 LyonFrance Sorbonne Universite Sorbonne Paris Cit´eCNRSLaboratoire de Probabilites Statistique et ModelisationLPSMF-75005 ParisFrance

We study an optimal investment problem under default risk where related information such as loss or recovery at default is considered as an exogenous ran-dom mark added at default *** types of agents who have different levels of information are *** first make precise the insider’s information flow by using the theory of enlargement of filtrations and then obtain explicit logarith-mic utility maximization results to compare optimal wealth for the insider and the ordinary agent.

关键词： Information uncertainty Markedrandomtimes Enlargementof filtrations utility maximization

Robust Power Control in TDMA-based Vehicular Communication Network

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Robust Power Control in TDMA-based Vehicular Communication N...