Thomas earned a Ph . D . in operations research from Cornell University in 1994, supervised by Bernd Sturmfels; her dissertation concerned Gr�bner bases and integer programming.
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Hi, I am looking for a condition that when holds for some linear program, then we can use the relaxation method for solving its integer programming variation.
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Stated this way it's a problem integer programming with two variables and two constraints .-- talk ) 08 : 04, 13 February 2011 ( UTC)
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For instance, many problems in operations research are "'NP "'- complete, such as some types of integer programming and the travelling salesman problem.
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If only some of the unknown variables are required to be integers, then the problem is called a "'mixed integer programming "'( MIP ) problem.
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Relaxation techniques complement or supplement branch and bound algorithms of combinatorial optimization; linear programming and Lagrangian relaxations are used to obtain bounds in branch-and-bound algorithms for integer programming.
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These include various types of integer programming problems in operations research, many problems in logistics, protein structure prediction in biology, and the ability to find formal proofs of pure mathematics theorems.
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I know it has an instantiation as a 0-1 integer programming problem, but there's so much more structure here that I was hoping there would be a better way.
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He has worked on algorithms for integer programming and the geometry of numbers, random walks in " n "-space, randomized algorithms for linear algebra and learning algorithms for convex sets.
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These subject areas will include secure communication, actuarial science leading to insurance and banking, data analysis, sampling methods, designing experiments, addressing current issues, linear and integer programming to enhance productivity.
