Value of Information in the Deterministic Optimal Resource Extraction Problem with Terminal Constraints

被引:1
|
作者
Gromova, Ekaterina [1 ]
Bolatbek, Aisana [2 ]
机构
[1] Transport & Telecommun Inst, LV-1019 Riga, Latvia
[2] Nazarbayev Univ, Sch Engn & Digital Sci, Astana 010000, Kazakhstan
来源
APPLIED SCIENCES-BASEL | 2023年 / 13卷 / 02期
关键词
differential game; value of information; optimal control; NONRENEWABLE RESOURCES; GAS; OIL;
D O I
10.3390/app13020703
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
In this paper, we consider a continuous-time differential game of non-renewable resource extraction with n players and assume that the terminal conditions of the game vary. To characterize the gain that the players obtain by using precise information, we use the notion of value of information in relation to the knowledge of terminal conditions. The stated problem is studied for two cases, a linear and a nonlinear one. The obtained results are illustrated for the real values of the parameters.
引用
收藏
页数:12
相关论文
共 50 条
  • [1] Solution of a linear problem of optimal control with terminal constraints
    Boldyrev, VI
    [J]. JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 2003, 42 (05) : 698 - 707
  • [2] Optimal prediction with resource constraints using the information bottleneck
    Sachdeva, Vedant
    Mora, Thierry
    Walczak, Aleksandra M.
    Palmer, Stephanie E.
    [J]. PLOS COMPUTATIONAL BIOLOGY, 2021, 17 (03)
  • [3] AN OPTIMAL CONTROL PROBLEM WITH TERMINAL STOCHASTIC LINEAR COMPLEMENTARITY CONSTRAINTS
    Luo, Jianfeng
    Chen, Xiaojun
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (06) : 3370 - 3389
  • [4] OPTIMAL RATES OF EXTRACTION OF EXHAUSTIBLE RESOURCE WITH AN ANALYSIS OF THE OPTIMAL TIME PROBLEM
    FRANCIS, AA
    MCCALLA, C
    [J]. SOCIAL AND ECONOMIC STUDIES, 1980, 29 (01) : 90 - 100
  • [5] Continuity of the value function for deterministic optimal impulse control with terminal state constraint
    Zhou, Yue
    Feng, Xinwei
    Yong, Jiongmin
    [J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021, 27
  • [6] Optimal information storage in noisy synapses under resource constraints
    Varshney, Lav R.
    Sjostrom, Per Jesper
    Chklovskii, Dmitri B.
    [J]. NEURON, 2006, 52 (03) : 409 - 423
  • [7] Stochastic linear quadratic optimal control problem with terminal state constraints
    Wang, Hongxia
    Hu, Yuxi
    Liu, Yihang
    Xu, Zhihao
    Song, Lianfeng
    [J]. ASIAN JOURNAL OF CONTROL, 2024, 26 (03) : 1564 - 1573
  • [8] Solving the Optimal Control Problem with Terminal Constraints in Modeling Chemical Processes
    Mustafina, Svetlana
    Antipina, Evgenia
    Antipin, Andrey
    Akimov, Andrey
    [J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2024, 91 (03) : 665 - 682
  • [9] Optimal dividend problem with a terminal value for spectrally positive Levy processes
    Yin, Chuancun
    Wen, Yuzhen
    [J]. INSURANCE MATHEMATICS & ECONOMICS, 2013, 53 (03): : 769 - 773
  • [10] TIME-OPTIMAL CONTROL IN A SINGLE-MACHINE PROBLEM WITH RESOURCE CONSTRAINTS
    JANIAK, A
    [J]. AUTOMATICA, 1986, 22 (06) : 745 - 747