Probabilistic Linearly Constrained Programming Problems with Lognormal Random Variables

被引:0
|
作者
M. P. Biswal
N. P. Sahoo
Duan Li
机构
[1] Indian Institute of Technology,Department of Mathematics
[2] The Chinese University of Hong Kong,Department of Systems Engineering and Engineering Management
关键词
Probabilistic programming; chance constraint; lognormal distribution; geometric inequality; deterministic approximation; non-linear programming;
D O I
10.1007/BF03398714
中图分类号
学科分类号
摘要
A solution scheme for solving probabilistic linearly constrained programming problems involving lognormal random variables is presented in this paper. The geometric inequality is used to transform the probabilistic linearly constrained programming problem into a deterministic mathematical programming problem. A non-linear programming algorithm can be then used to solve the resulting deterministic problem.
引用
收藏
页码:70 / 76
页数:6
相关论文
共 50 条
  • [21] Computation of probabilistic linear programming problems involving normal and log-normal random variables with a joint constraint
    Sahoo, NP
    Biswal, MP
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (11) : 1323 - 1338
  • [22] Possibility/Necessity-Based Probabilistic Expectation Models for Linear Programming Problems with Discrete Fuzzy Random Variables
    Katagiri, Hideki
    Kato, Kosuke
    Uno, Takeshi
    SYMMETRY-BASEL, 2017, 9 (11):
  • [23] Approximating the Sum of Correlated Lognormal or Lognormal-Rice Random Variables
    Mehta, Neelesh B.
    Molisch, Andreas F.
    Wu, Jingxian
    Zhang, Jin
    2006 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS, VOLS 1-12, 2006, : 1605 - 1610
  • [24] A Fuzzy Programming Method for Solving Multiobjective Chance Constrained Programming Problems Involving Log-Normally Distributed Fuzzy Random Variables
    Biswas, Animesh
    De, Arnab Kumar
    SWARM, EVOLUTIONARY, AND MEMETIC COMPUTING, (SEMCCO 2012), 2012, 7677 : 442 - 450
  • [25] On the minimum and maximum of bivariate lognormal random variables
    Lien D.
    Extremes, 2005, 8 (1-2) : 79 - 83
  • [26] The Sum and Difference of Two Lognormal Random Variables
    Lo, C. F.
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [27] Possibilistic linear programming problems involving normal random variables
    Barik S.K.
    Biswal M.P.
    International Journal of Fuzzy System Applications, 2016, 5 (03) : 1 - 13
  • [28] Linear multi-level programming problems with random variables
    S. B. Sinha
    Surabhi Sinha
    OPSEARCH, 2004, 41 (1) : 1 - 15
  • [29] STATE-SPACE CONSTRAINED OPTIMAL CONTROL PROBLEMS WITH CONTROL VARIABLES APPEARING LINEARLY
    SAKAWA, M
    SAWARAGI, Y
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1975, 6 (12) : 1185 - 1194
  • [30] A new penalty parameter for linearly constrained 0-1 quadratic programming problems
    Hsia, Yong
    Wang, Yanping
    OPTIMIZATION LETTERS, 2013, 7 (04) : 765 - 778