OPTIMIZATION IN LINEAR PROGRAMMING PROBLEMS WITH THE SPARSE MATRIX

被引:0
|
作者
Ioan, Popoviciu [1 ]
机构
[1] Naval Acad Mircea Cel Batran, Constanta, Romania
关键词
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
When speaking about linear programming problems of big dimensions with rare matrix of the system, resolved through simplex method, it is necessary, at each iteration, to calculate the inverse of the base matrix, which leads to the loss of the rarity character of the matrix. The article proposes the replacement of the calculus of the inverse of the base matrix with the solving through iterative parallel methods of a linear system with rare matrix of the system.
引用
收藏
页码:138 / 142
页数:5
相关论文
共 50 条
  • [21] Steepest edge active set algorithm for solving sparse linear programming problems
    Sloan, S.W.
    International Journal for Numerical Methods in Engineering, 1988, 26 (12): : 2671 - 2685
  • [22] C-PROGRAMMING PROBLEMS - A CLASS OF NON-LINEAR OPTIMIZATION PROBLEMS
    SNIEDOVICH, M
    DISCRETE APPLIED MATHEMATICS, 1984, 9 (03) : 301 - 305
  • [23] A vector linear programming approach for certain global optimization problems
    Ciripoi, Daniel
    Loehne, Andreas
    Weissing, Benjamin
    JOURNAL OF GLOBAL OPTIMIZATION, 2018, 72 (02) : 347 - 372
  • [24] On the equivalence of two optimization methods for fuzzy linear programming problems
    Chanas, S
    Zielinski, P
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2000, 121 (01) : 56 - 63
  • [25] A vector linear programming approach for certain global optimization problems
    Daniel Ciripoi
    Andreas Löhne
    Benjamin Weißing
    Journal of Global Optimization, 2018, 72 : 347 - 372
  • [26] Global optimization algorithm for solving linear multiplicative programming problems
    Shen, Peiping
    Wang, Kaimin
    Lu, Ting
    OPTIMIZATION, 2022, 71 (06) : 1421 - 1441
  • [27] Global Optimization Algorithm for Generalized Linear Fractional Programming Problems
    Jiao, Hongwei
    Du, Jiaxi
    Chen, Yongqiang
    PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION, VOL II: MATHEMATICAL MODELLING, 2008, : 301 - 304
  • [28] FORMAL OPTIMIZATION OF SOME REDUCED LINEAR-PROGRAMMING PROBLEMS
    TOMLIN, JA
    WELCH, JS
    MATHEMATICAL PROGRAMMING, 1983, 27 (02) : 232 - 240
  • [29] An interval sequential linear programming for nonlinear robust optimization problems
    Tang, Jiachang
    Fu, Chunming
    Mi, Chengji
    Liu, Haibo
    APPLIED MATHEMATICAL MODELLING, 2022, 107 : 256 - 274
  • [30] Particle swarm optimization performance on special linear programming problems
    Erdogmus, Pakize
    SCIENTIFIC RESEARCH AND ESSAYS, 2010, 5 (12): : 1506 - 1518