What are some advanced techniques in branch and bound algorithms?
Advanced techniques in branch and bound include bounding functions, variable selection strategies, and cutting planes.
Can you explain how bounding functions work?
Bounding functions help to estimate the best possible solution within a branch, allowing for pruning of unpromising branches.
What is the role of variable selection strategies?
Variable selection strategies determine the order in which variables are considered, impacting the efficiency of the search.
Are there any specific examples of cutting planes?
Yes, examples include Gomory cuts and Chvátal-Gomory cuts, which help to tighten the feasible region.
How do these techniques improve algorithm performance?
These techniques reduce the search space and improve the speed of finding optimal solutions, enhancing overall performance.
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