On the Optimal Control Problem for New Business

被引:0
|
作者
Li, Zhendong [2 ]
Meng, Qingbin [1 ]
Liu, Yang [1 ]
Zhang, Yanru [3 ]
机构
[1] Renmin Univ China, Sch Business, Beijing 100872, Peoples R China
[2] Tangshan Coll, Basic Educ Dept, Tangshan 063000, Peoples R China
[3] Natl BioEnergy Co Ltd, Beijing 100027, Peoples R China
关键词
Optimal control problem; exponential utility function; HJB equation; OPTIMAL PROPORTIONAL REINSURANCE; OPTIMAL INVESTMENT; RISK PROCESS; RUIN; PROBABILITY; POLICIES; MODEL;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In actuary research field, optimal dividends problems for insurance companies are widely studied and recently, this area has become one of the hottest topics because that it is not only has the theoretical but also the practical importance. In this paper, the optimal control problem for the insurance which pursues new businesses is studied. The objective of our paper is to maximize the exponential utility function. Our contribution is that the explicit control policy and the maximal discounted utility are obtained by solving the HJB (Hamilton-Jaccobi-Bellman) equation.
引用
收藏
页码:367 / +
页数:2
相关论文
共 50 条
  • [1] Stochastic control for optimal new business
    Hipp, C
    Taksar, M
    INSURANCE MATHEMATICS & ECONOMICS, 2000, 26 (2-3): : 185 - 192
  • [2] OPTIMAL CONTROL PROBLEM IN NEW PRODUCTS LAUNCH
    Dobocan, Corina
    ANNALS OF DAAAM FOR 2009 & PROCEEDINGS OF THE 20TH INTERNATIONAL DAAAM SYMPOSIUM, 2009, 20 : 1033 - 1034
  • [3] NEW APPROACH TO PROBLEM OF OPTIMAL-CONTROL
    RAZUMICHIN, BS
    DOKLADY AKADEMII NAUK SSSR, 1977, 236 (02): : 300 - 303
  • [4] A NEW SOLUTION TO THE INVERSE PROBLEM OF OPTIMAL REGULATOR CONTROL
    TAN, LY
    WEBER, TW
    AICHE JOURNAL, 1987, 33 (01) : 36 - 42
  • [5] NEW STOCHASTIC TIME OPTIMAL-CONTROL PROBLEM
    HAUSSMANN, UG
    ANDERSON, WJ
    BOYARSKY, A
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1978, 16 (01) : 1 - 15
  • [6] A NEW COMPUTATIONAL STRATEGY FOR OPTIMAL CONTROL PROBLEM WITH A COST ON CHANGING CONTROL
    Wang, Yujing
    Yu, Changjun
    Teo, Kok Lay
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2016, 6 (03): : 339 - 364
  • [7] A PROBLEM OF OPTIMAL CONTROL
    DEBRUIJN, NG
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 14 (02) : 185 - &
  • [8] On an optimal control problem
    Yildiz, B
    Yagubov, G
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 88 (02) : 275 - 287
  • [9] A new approach to a fuzzy time-optimal control problem
    Amrahov, Ş. Emrah
    Gasilov, N.A.
    Fatullayev, A.G.
    CMES - Computer Modeling in Engineering and Sciences, 2014, 99 (05): : 351 - 369
  • [10] Investigation of the optimal control problem for metal solidification in a new formulation
    A. F. Albu
    V. I. Zubov
    Computational Mathematics and Mathematical Physics, 2014, 54 : 756 - 766