Randomized Simplex Algorithms on Klee-Minty Cubes
نویسندگان
چکیده
منابع مشابه
Randomized Simplex Algorithms on Klee-Minty Cubes
We investigate the behavior of randomized simplex algorithms on special linear programs. For this, we develop combinatorial models for the Klee-Minty cubes [17] and similar linear programs with exponential decreasing paths. The analysis of two most natural randomized pivot rules on the Klee-Minty cubes leads t o (nearly) quadratic lower bounds for the complexity of linear programming with rando...
متن کاملRandomized Simplex Algorithms on Klee-Mintny Cubes
We investigate the behavior of randomized simplex algorithms on special linear programs. For this, we develop combinatorial models for the Klee-Minty cubes 16] and similar linear programs with exponential decreasing paths. The analysis of two randomized pivot rules on the Klee-Minty cubes leads to (nearly) quadratic lower bounds for the complexity of linear programming with random pivots. Thus ...
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Although the Simplex Method (SM) developed for Dantzig is efficient for solving many linear programming problems (LPs), there are constructions of hard linear programs as the Klee-Minty cubes and another deformed products, where this method has an exponential behavior. This work presents the integration of genetic algorithms (GA) and SM to fastly reach the optimum of this type of problems. This...
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ژورنال
عنوان ژورنال: COMBINATORICA
سال: 1998
ISSN: 0209-9683
DOI: 10.1007/pl00009827