Pricing for sparsity in the revised simplex method

James K. Ho

RAIRO - Operations Research - Recherche Opérationnelle (1978)

  • Volume: 12, Issue: 3, page 285-290
  • ISSN: 0399-0559

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Ho, James K.. "Pricing for sparsity in the revised simplex method." RAIRO - Operations Research - Recherche Opérationnelle 12.3 (1978): 285-290. <http://eudml.org/doc/104697>.

@article{Ho1978,
author = {Ho, James K.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
language = {eng},
number = {3},
pages = {285-290},
publisher = {EDP-Sciences},
title = {Pricing for sparsity in the revised simplex method},
url = {http://eudml.org/doc/104697},
volume = {12},
year = {1978},
}

TY - JOUR
AU - Ho, James K.
TI - Pricing for sparsity in the revised simplex method
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1978
PB - EDP-Sciences
VL - 12
IS - 3
SP - 285
EP - 290
LA - eng
UR - http://eudml.org/doc/104697
ER -

References

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  1. 1. E. M. L. BEALE, Sparseness in Linear Programming, in Large Sparse Sets of Linear Equations, J. K. REID, éd., Academic Press, London, 1971, pp. 1-15. 
  2. 2. H. CROWDER and J. M. HATTINGH, Partially Normalized Pivot Selection in Linear Programming, Mathematical Programming Study, Vol. 4, 1975, pp. 12-25. Zbl0394.90060MR429104
  3. 3. L. CUTLER and P. WOLFE, Experiments in Linear Programming, in Recent advances in mathematical programming R. L. GRAVES and P. WOLFE, éd. McGraw-Hill, New York, 1963, pp. 177-200. Zbl0223.90001MR155682
  4. 4. G. B. DANTZIG, Linear Programming and Extensions, Princeton University Press Princeton, N.J., 1963. Zbl0997.90504MR201189
  5. 5. J. C. DICKSON and F. P. FREDERICK, A Decision Rule for Improved Efficiency in Solving Linear Programming Problems with the Simplex Algorithm, Communications of the Association for Computing Machinery, Vol. 3, 1960. Zbl0111.17301MR115820
  6. 6. D. GOLDFARB, Using the Steepest-Edge Simplex Algorithm to Solve Sparse Linear Programs in Sparse matrix computations, J. R. BUNCH and D. ROSE, ed., Academic Press, New York, 1976, pp. 227-240. Zbl0345.65033MR462566
  7. 7. P. M. J. HARRIS, Pivot Selection Methods of the Devex LP Code, Mathematical Programming Study, Vol. 4, 1975, pp. 30-57. Zbl0395.90046MR391947
  8. 8. E. HELLERMAN and D. RARICK, Reinversion with the Preassigned Pivot Procedure, Mathematical Programming, Vol. 1, 1971, pp. 195-216. Zbl0246.65022MR293819
  9. 9. H. W. KUHN and R. E. QUANDT, An Experimental Study of the Simplex Method, Proceedings of symposia in applied mathematics, Vol. 15, Amer. Math. Soc, Providence, R.I., 1963. Zbl0127.08203MR161746
  10. 10. W. ORCHARD-HAYS, Advanced Linear Programming Computing Techniques, McGraw-Hill, New York, 1968. Zbl0995.90595
  11. 11. J. A. TOMLIN, Pivoting for Size and Sparsity in Linear Programming Inversion Routines, J. Inst. Math, and Appl., Vol. 10, 1972, pp. 289-295. Zbl0249.90039
  12. 12. J. A. TOMLIN, LPM1 user's Manual, Systems Optimization Laboratory, Department of Operations Research, Stanford University, 1973. 

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