Analytic Center Based Cutting Plane Method for Linear Semi-Infinite Programming

  • Soon-Yi Wu
  • Shu-Cherng Fang
  • Chih-Jen Lin
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 57)


In this paper, an analytic center based cutting plane method is proposed for solving linear semi-infinite programming problems. It is shown that a near optimal solution can be obtained by generating a polynomial number of cuts.


Plane Method Analytic Center Polynomial Number Unique Optimal Solution Convex Feasibility Problem 
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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Soon-Yi Wu
    • 1
  • Shu-Cherng Fang
    • 2
  • Chih-Jen Lin
    • 3
  1. 1.Institute of Applied MathematicsNational Cheng-Kung UniversityTainan 700Taiwan, R.O. C.
  2. 2.Operations Research and Industrial EngineeringNorth Carolina State UniversityRaleighUSA
  3. 3.Department of Computer Science and Information EngineeringNational Taiwan UniversityTaipeiTaiwan, R.O.C.

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