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Karl Heinz Borgwardt
Person information
- affiliation: University of Augsburg, Institute for Mathematics, Germany
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2010 – 2019
- 2014
- [j11]Markus Göhl, Karl Heinz Borgwardt:
The average number of pivot steps of the simplex-algorithm based on a generalized rotation-symmetry-model. Math. Methods Oper. Res. 80(3): 329-366 (2014)
2000 – 2009
- 2009
- [r1]Karl Heinz Borgwardt:
Probabilistic Analysis of Simplex Algorithms. Encyclopedia of Optimization 2009: 3073-3084 - 2007
- [j10]Karl Heinz Borgwardt:
Average-Case Analysis of the Double Description Method and the Beneath-Beyond Algorithm. Discret. Comput. Geom. 37(2): 175-204 (2007) - 2002
- [j9]Petra Huhn, Karl Heinz Borgwardt:
Interior-Point Methods: Worst Case and Average Case Analysis of a Phase-I Algorithm and a Termination Procedure. J. Complex. 18(3): 833-910 (2002)
1990 – 1999
- 1999
- [j8]Karl Heinz Borgwardt, Petra Huhn:
A lower bound on the average number of Pivot-steps for solving linear programs Valid for all variants of the Simplex-Algorithm. Math. Methods Oper. Res. 49(2): 175-210 (1999) - 1997
- [j7]Karl Heinz Borgwardt:
Average Complexity of a Gift-Wrapping Algorithm for Determining the Convex Hull of Randomly Given Points. Discret. Comput. Geom. 17(1): 79-109 (1997) - 1996
- [j6]Reiner Horst, Karl Heinz Borgwardt:
Book reviews. Math. Methods Oper. Res. 44(2): 291-293 (1996) - 1994
- [j5]Karl Heinz Borgwardt, Jürgen Brzank:
Average Saving Effects in Enumerative Methods for Solving Knapsack Problems. J. Complex. 10(1): 129-141 (1994) - 1993
- [j4]Karl Heinz Borgwardt, Renate Damm, Rudolf Donig, Gabriele Joas:
Empirical Studies on the Average Efficiency of Simplex Variants under Rotation Symmetry. INFORMS J. Comput. 5(3): 249-260 (1993) - 1991
- [j3]Karl Heinz Borgwardt, Birgit Tremel:
The average quality of greedy-algorithms for the Subset-Sum-Maximization Problem. ZOR Methods Model. Oper. Res. 35(2): 113-149 (1991) - 1990
- [c1]Karl Heinz Borgwardt, Norbert Gaffke, Michael Jünger, Gerhard Reinelt:
Computing the Convex Hull in the Euclidean Plane in Linear Expected Time. Applied Geometry And Discrete Mathematics 1990: 91-108
1980 – 1989
- 1982
- [j2]Karl-Heinz Borgwardt:
The Average number of pivot steps required by the Simplex-Method is polynomial. Z. Oper. Research 26(1): 157-177 (1982) - [j1]Karl Heinz Borgwardt:
Some Distribution-Independent Results About the Asymptotic Order of the Average Number of Pivot Steps of the Simplex Method. Math. Oper. Res. 7(3): 441-462 (1982)
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