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
  • [31] Markov chain Monte Carlo methods2. The Markov chain case
    K. B. Athreya
    Mohan Delampady
    T. Krishnan
    Resonance, 2003, 8 (7) : 63 - 75
  • [32] Consistency and refinement for Interval Markov Chains
    Delahaye, Benoit
    Larsen, Kim G.
    Legay, Axel
    Pedersen, Mikkel L.
    Wasowski, Andrzej
    JOURNAL OF LOGIC AND ALGEBRAIC PROGRAMMING, 2012, 81 (03): : 209 - 226
  • [33] Dynamic Grey Stochastic Decision-making Method Based on Markov Chain and "matching" Thought
    Luo, Dang
    Liu, Min
    PROCEEDINGS OF 2017 IEEE INTERNATIONAL CONFERENCE ON GREY SYSTEMS AND INTELLIGENT SERVICES (GSIS), 2017, : 205 - 210
  • [34] A MARKOV-CHAIN MODEL FOR STATISTICAL SOFTWARE TESTING
    WHITTAKER, JA
    THOMASON, MG
    IEEE TRANSACTIONS ON SOFTWARE ENGINEERING, 1994, 20 (10) : 812 - 824
  • [35] A Forecasting for Talents Flowage by Markov-chain Model
    Chao Kuipeng
    Zong Peng
    PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON EDUCATION MANAGEMENT SCIENCE AND ENGINEERING, 2010, : 1037 - 1042
  • [36] Adjoining batch Markov arrival processes of a Markov chain
    Mo, Xiao-yun
    Xiang, Xu-yan
    Yang, Xiang-qun
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 34 (01): : 1 - 10
  • [37] A MARKOV-CHAIN MODEL FOR MEDICAL RECORD ANALYSIS
    LIU, CM
    WANG, KM
    GUH, YY
    JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1991, 42 (05) : 357 - 364
  • [38] Adjoining batch Markov arrival processes of a Markov chain
    Xiao-yun Mo
    Xu-yan Xiang
    Xiang-qun Yang
    Acta Mathematicae Applicatae Sinica, English Series, 2018, 34 : 1 - 10
  • [39] Adjoining Batch Markov Arrival Processes of a Markov Chain
    Xiao-yun MO
    Xu-yan XIANG
    Xiang-qun YANG
    ActaMathematicaeApplicataeSinica, 2018, 34 (01) : 1 - 10
  • [40] Enhanced framework for solving general energy equations based on metropolis-hasting Markov chain Monte Carlo
    Zhu, Ze-Yu
    Gao, Bao-Hai
    Niu, Zhi-Tian
    Ren, Ya-Tao
    He, Ming-Jian
    Qi, Hong
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2024, 235