| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Research Abstract |
A mathematical program is to optimize a given objective function under some constraints. There have been various kinds of algorithms to solve mathematical programs rapidly. While the interior-point method solves them in polynomial time, pivoting algorithms are still promising for simplicity of the algorithms. In this research, we have studied properties of orientation of pivoting graphs by analyzing polytopal structure of mathematical programs, in order to propose more effective pivoting algorithms.
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