Markov interval chain (MIC) for solving a decision problem

被引:0
|
作者
Salah eddine Semati
Abdelkader Gasmi
机构
[1] University of Msila,Laboratory of Signals Analysis and Systems
[2] University of Msila,Laboratory of Pure and Applied Mathematics
来源
OPSEARCH | 2023年 / 60卷
关键词
Markov chain; Interval matrix; Decision problem; Stochastic process;
D O I
暂无
中图分类号
学科分类号
摘要
One of the main missions of a certain company is to predict its future for reasons of continuity, which reflect the balance of its long term, in various aspects. In this work, we propose the use of Markov Interval Chain models to help business leaders to make better decisions. The proposed model consists in considering the numbers of customers declared by each company, which are discrete values as centers of symmetric intervals. By this, we have avoided the problem of increase and decrease in the number of customers for each company. As an example, we applied this model to predict the distribution of market shares in the later period as a probability distribution intervals, which provides information’s for companies to make decisions, and it gave satisfactory results.
引用
收藏
页码:802 / 811
页数:9
相关论文
共 50 条
  • [21] The maximum principle for stochastic control problem with Markov chain in progressive structure
    Chen, Tian
    Song, Yuanzhuo
    Wu, Zhen
    SYSTEMS & CONTROL LETTERS, 2022, 166
  • [22] A Group Decision-Support Method for IT Project Management Based on Markov Chain
    Shen, Huizhang
    Zhao, Jidi
    Qiu, Robin G.
    2008 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC), VOLS 1-6, 2008, : 861 - +
  • [23] MARKOV CHAIN APPROACH ON THE BEHAVIOUR OF RAINFALL
    Garg, Vivek Kumar
    Singh, J. B.
    INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2010, 6 (01): : 157 - 162
  • [24] On the approximation of one Markov chain by another
    Mark Jerrum
    Probability Theory and Related Fields, 2006, 135 : 1 - 14
  • [25] The Optimization Method of Markov Chain Usage Model Based on Three-parameter Interval Number
    Zhao, Yang
    PROCEEDINGS OF 2015 IEEE INTERNATIONAL CONFERENCE ON GREY SYSTEMS AND INTELLIGENT SERVICES (GSIS), 2015, : 528 - 530
  • [26] Computer aided solving the high-order transition probability matrix of the finite Markov chain
    Li, ZQ
    Wang, WM
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) : 267 - 285
  • [27] Market Share Analysis and Promotion Decision-making Optimization Based on Markov Chain
    Wang Guangqi
    Xu Xiaohong
    Wei Jianping
    RECENT ADVANCE IN STATISTICS APPLICATION AND RELATED AREAS, PTS 1 AND 2, 2008, : 145 - +
  • [28] Markov Decision Processes
    Bäuerle N.
    Rieder U.
    Jahresbericht der Deutschen Mathematiker-Vereinigung, 2010, 112 (4) : 217 - 243
  • [30] A Dynamic Buffer Reservation Method Based on Markov Chain to Solve Deadlock Problem in Scheduling
    Han, Zhonghua
    Liu, Yuehan
    Shi, Haibo
    Tian, Xutian
    PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE ON MODELLING, IDENTIFICATION AND CONTROL (ICMIC2019), 2020, 582 : 1205 - 1213