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Average number of iterations of some polynomial interior-point——Algorithms for linear programming

Average number of iterations of some polynomial interior-point——Algorithms for linear programming
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摘要 We study the behavior of some polynomial interior-point algorithms for solving random linear programming (LP) problems. We show that the average number of iterations of these algorithms, coupled with a finite termination technique, is bounded above by O( n1.5). The random LP problem is Todd’s probabilistic model with the standard Gauss distribution. We study the behavior of some polynomial interior-point algorithms for solving random linear programming (LP) problems. We show that the average number of iterations of these algorithms, coupled with a finite termination technique, is bounded above by O( n1.5). The random LP problem is Todd's probabilistic model with the standard Gauss distribution.
作者 黄思明
出处 《Science China Mathematics》 SCIE 2000年第8期829-835,共7页 中国科学:数学(英文版)
关键词 linear programming interior point ALGORITHMS probabilistic LP models AVERAGE NUMBER of itera-tions. linear programming, interior point algorithms, probabilistic LP models, average number of itera-tions.
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参考文献7

  • 1Masakazu Kojima,Shinji Mizuno,Akiko Yoshise.An $$O(\sqrt n L)$$ iteration potential reduction algorithm for linear complementarity problems[J].Mathematical Programming (-).1991(1-3)
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  • 3N. Karmarkar.A new polynomial-time algorithm for linear programming[J].Combinatorica.1984(4)
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  • 7Ye,Y.Toward probabilistic analysis of interior-point algorithms for linear programming[].Mathematics of Operations Research.1994

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