Title
On the number of solutions generated by the dual simplex method.
Abstract
In this short paper, we give an upper bound for the number of different basic feasible solutions generated by the dual simplex method with Dantzig’s rule for LP. The bound is comparable with the bound given by Kitahara and Mizuno (in press) [3] for the primal simplex method. We apply the result to the maximum flow problem and get a strong polynomial bound.
Year
DOI
Venue
2012
10.1016/j.orl.2012.01.004
Operations Research Letters
Keywords
Field
DocType
Dual simplex method,Linear programming,Basic feasible solutions,Maximum flow problem
Combinatorics,Mathematical optimization,Simplex algorithm,Revised simplex method,Polynomial,Upper and lower bounds,Maximum flow problem,Linear programming,Mathematics
Journal
Volume
Issue
ISSN
40
3
0167-6377
Citations 
PageRank 
References 
3
0.48
2
Authors
2
Name
Order
Citations
PageRank
Tomonari Kitahara1246.61
Shinji Mizuno2792153.37