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The LP Procedure

References

 

Bartels, R. (1971), "A Stabilization of the Simplex Method," Numerical Mathematics , 16, 414--434. 

Bland, R. G. (1977), "New Finite Pivoting Rules for the Simplex Method," Mathematics of Operations Research , 2, 103--107. 

Breau, R. and Burdet, C. A. (1974), "Branch and Bound Experiments in Zero-One Programming," Mathematical Programming Study , 2, 1--50. 

Crowder, H., Johnson, E. L., and Padberg, M. W. (1983), "Solving Large-Scale Zero-One Linear Programming Problems," Operations Research , 31, 803--834. 

Dantzig, G. B. (1963), Linear Programming and Extensions , Princeton, NJ: Princeton University Press. 

Garfinkel, R. S. and Nemhauser, G. L. (1972), Integer Programming , New York: John Wiley & Sons. 

Greenberg, H. J. (1978), "Pivot Selection Tactics," in H. J. Greenberg, ed., Design and Implementation of Optimization Software , 143--174, Netherlands: Sijthoff & Noordhoff. 

Hadley, G. (1962), Linear Programming , Reading, MA: Addison-Wesley. 

Harris, P. (1975), "Pivot Selection Methods of the Devex LP Code," Mathematical Programming Study , 4, 30--57. 

Ignizio, J. P. (1976), Goal Programming and Extensions , Lexington, MA: D.C. Heath and Company. 

Murtagh, B. A. (1981), Advanced Linear Programming, Computation and Practice , New York: McGraw-Hill. 

Nelson, M. (1992), The Data Compression Book , M&T Books. 

Reid, J. K. (1975), "A Sparsity-Exploiting Variant of the Bartels-Golub Decomposition for Linear Programming Bases," Harwell Report CSS 20 . 

Reid, J. K. (1976), "Fortran Subroutines for Handling Sparse Linear Programming Bases," Harwell Report R 8269 . 

Savelsbergh, M. W. P. (1994), "Preprocessing and Probing Techniques for Mixed Integer Programming Problems," ORSA J. on Computing , 6, 445--454. 

Taha, H. A. (1975), Integer Programming , New York: Academic Press.

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