Branch and Cut Algorithms
نویسندگان
چکیده
is the objective function to be optimized over P . Whenever all variables in (1.1) are restricted to be integral, the problem is known as a linear integer programming (IP) problem. Conversely, a pure linear programming (LP) problem results when all variables in (1.1) are restricted to be real valued. As is frequently the case for MIP, instead of attempting to optimize (1.3) directly over P , it may be advantageous to divide that region into a nite number of smaller regions and optimize the objective function over each smaller region individually. In the process one must ensure that an optimal solution to (1.1) is contained in at least one of the smaller regions that were generated. This basic solution strategy can be further extended to include the newly de ned MIP problems. In particular, the idea would be attractive when the resulting
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