The NETFLOW Procedure


References

  • Ahuja, R. K., Magnanti, T. L., and Orlin, J. B. (1993). Network Flows: Theory, Algorithms, and Applications. Englewood Cliffs, NJ: Prentice-Hall.

  • Bland, R. G. (1977). “New Finite Pivoting Rules for the Simplex Method.” Mathematics of Operations Research 2:103–107.

  • George, J. A., Liu, J. W., and Ng, E. (2001). “Computer Solution of Positive Definite Systems.” Unpublished manuscript available from authors.

  • Jensen, P. A., and Bard, J. F. (2003). Operations Research Models and Methods. Hoboken, NJ: John Wiley & Sons.

  • Kearney, T. D. (1990). “A Tutorial on the NETFLOW Procedure in SAS/OR.” In Proceedings of the Fifteenth Annual SAS Users Group International Conference, 97–108. Cary, NC: SAS Institute Inc. http://www.sascommunity.org/sugi/SUGI90/Sugi-90-15%20Kearney.pdf.

  • Kennington, J. L., and Helgason, R. V. (1980). Algorithms for Networking Programming. New York: Wiley-Interscience.

  • Lustig, I. J., Marsten, R. E., and Shanno, D. F. (1992). “On Implementing Mehrotra’s Predictor-Corrector Interior-Point Method for Linear Programming.” SIAM Journal on Optimization 2:435–449.

  • Reid, J. K. (1975). A Sparsity-Exploiting Variant of the Bartels-Golub Decomposition for Linear Programming Bases. Technical Report Harwell CSS 20, Atomic Energy Research Establishment, Harwell, UK.

  • Roos, C., Terlaky, T., and Vial, J. (1997). Theory and Algorithms for Linear Optimization. Chichester, UK: John Wiley & Sons.

  • Ryan, D. M., and Osborne, M. R. (1988). “On the Solution of Highly Degenerate Linear Programmes.” Mathematical Programming 41:385–392.

  • Wright, S. J. (1997). Primal-Dual Interior-Point Methods. Philadelphia: SIAM.

  • Ye, Y. (1996). Interior Point Algorithms: Theory and Analysis. New York: John Wiley & Sons.