Skip to main content
Log in

A projective method for linear programming with box-type constraints

  • Published:
Algorithmica Aims and scope Submit manuscript

Abstract

A specialization of the projective method for linear programming to problems with lower and upper bounds on the variables is proposed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. M. Anstreicher, Analysis of a modified Karmarkar algorithm for linear programming, Preprint, Yale School of Organization and Management, 1985.

  2. N. Karmarkar, A new polynomial-time algorithm for linear programming,Combinatorica,4 (1984), 373–395.

    Article  MATH  MathSciNet  Google Scholar 

  3. M. Padberg, A different convergence proof of the projective method for linear programming,Oper. Res. Lett.,6 (1986), 253–257.

    Article  MathSciNet  Google Scholar 

  4. M. Padberg, Solution of a nonlinear programming problem arising in the projective method, Preprint, New York University, March 1985 (to appear inSIAM J. Control Optim.).

  5. M. J. Todd and B. P. Burrel, An extension of Karmarkar's algorithm for linear programming using dual variables, Technical Report No. 648, School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, 1985.

  6. J. A. Tomlin, An experimental approach to Karmarkar's projective method for linear programming, Preprint, Ketron Inc., 1985.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Nimrod Megiddo.

This work was done while the author was visiting New York University.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rinaldi, G. A projective method for linear programming with box-type constraints. Algorithmica 1, 517–527 (1986). https://doi.org/10.1007/BF01840460

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01840460

Key words

Navigation