George Dantzig's impact on the theory of computation
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Publication:951091
DOI10.1016/j.disopt.2006.12.004zbMath1151.90527OpenAlexW1965311270MaRDI QIDQ951091
Publication date: 29 October 2008
Published in: Discrete Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disopt.2006.12.004
computational complexitylinear programminginteger programmingcombinatorial optimizationsimplex algorithmpolynomial-time algorithm
Integer programming (90C10) Linear programming (90C05) Combinatorial optimization (90C27) Extreme-point and pivoting methods (90C49)
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- A new polynomial-time algorithm for linear programming
- A strongly polynomial minimum cost circulation algorithm
- A simplex variant solving an m\(\times d\) linear program in O(min(m 2,d 2)) expected number of pivot steps
- Implementing the Dantzig-Fulkerson-Johnson algorithm for large traveling salesman problems
- PRIMES is in P
- Combinatorial optimization. Polyhedra and efficiency (3 volumes)
- On the Shortest Route Through a Network
- A randomized polynomial-time simplex algorithm for linear programming
- On the average number of steps of the simplex method of linear programming
- Outline of an algorithm for integer solutions to linear programs
- On the Significance of Solving Linear Programming Problems with Some Integer Variables
- Approximation algorithms for metric facility location and k -Median problems using the primal-dual schema and Lagrangian relaxation
- Smoothed analysis of algorithms
- Improved asymptotic analysis of the average number of steps performed by the self-dual simplex algorithm
- A simplex algorithm whose average number of steps is bounded between two quadratic functions of the smaller dimension
- A quasi-polynomial bound for the diameter\\of graphs of polyhedra
- Polynomial expected behavior of a pivoting algorithm for linear complementarity and linear programming problems
- Paths, Trees, and Flowers
- Solution of a Large-Scale Traveling-Salesman Problem
- The complexity of theorem-proving procedures