Concepedia

Primal Linear Programming

Primal Linear Programming is a canonical optimization framework in linear programming that belongs to the class of mathematical programming models, distinguished by its formulation of a primary objective function and constraints aimed at maximizing or minimizing a linear function subject to linear equality and inequality constraints.

195

Publications

12K

Citations

321

Authors

160

Institutions

Publications per year

2017–2026

11

Parents

Publications

195

Interior path following primal-dual algorithms. part I: Linear programming

Renato D. C. Monteiro, Ilan Adler · Mathematical Programming · 1989 · 488 citations

, , +11

On Adaptive-Step Primal-Dual Interior-Point Algorithms for Linear Programming

Shinji Mizuno, Michael J. Todd, Yinyu Ye · Mathematics of Operations Research · 1993 · 390 citations

, , +14

An O(√nL)-Iteration Homogeneous and Self-Dual Linear Programming Algorithm

Yinyu Ye, Michael J. Todd, Shinji Mizuno · Mathematics of Operations Research · 1994 · 370 citations

, , +11

Path-Following Methods for Linear Programming

Clóvis C. Gonzaga · SIAM Review · 1992 · 341 citations

, , +11

On Implementing Mehrotra’s Predictor–Corrector Interior-Point Method for Linear Programming

Irvin J. Lustig, Roy E. Marsten, David F. Shanno · SIAM Journal on Optimization · 1992 · 329 citations

, , +13

1–5 of 195

Authors

321

  1. MJ
    Michael J. Todd

    Cornell University, United States

    11 publications · 1.2K citations

    11

    h-index

  2. DF
    David F. Shanno

    Rutgers, The State University of New Jersey, United States

    9 publications · 1.3K citations

    9

    h-index

  3. IJ
    Irvin J. Lustig

    Princeton University, United States

    7 publications · 1.2K citations

    7

    h-index

  4. TT
    Tamás Terlaky

    Delft University of Technology, Netherlands

    7 publications · 395 citations

    7

    h-index

  5. YY
    Yinyu Ye

    Stanford University, United States

    7 publications · 1.1K citations

    7

    h-index

1–5 of 321

Institutions

160

  1. Georgia Institute of Technology

    Atlanta, United States

    9 h-index

    12 publications

    1.2K citations

  2. Cornell University

    Ithaca, United States

    8 h-index

    9 publications

    1.3K citations

  3. The Institute of Statistical Mathematics

    Tokyo, Japan

    8 h-index

    8 publications

    1.2K citations

  4. Rutgers, The State University of New Jersey

    New Brunswick, United States

    8 h-index

    10 publications

    1.2K citations

  5. Princeton University

    Princeton, United States

    7 h-index

    7 publications

    926 citations

  6. University of Iowa

    Iowa City, United States

    7 h-index

    10 publications

    867 citations

  7. Delft University of Technology

    Delft, The Netherlands

    7 h-index

    18 publications

    830 citations

  8. University of Geneva

    Geneva, Switzerland

    6 h-index

    7 publications

    826 citations

1–8 of 160

Venues

  1. SIAM Journal on Optimization

    15 publications · 775 citations

    14

    h-index

  2. Mathematical Programming

    15 publications · 1.6K citations

    14

    h-index

  3. Mathematics of Operations Research

    15 publications · 1.7K citations

    12

    h-index

  4. Annals of Operations Research

    8 publications · 397 citations

    8

    h-index

  5. Operations Research Letters

    6 publications · 301 citations

    6

    h-index

1–5