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A dual heuristic for mixed integer programming. (English) Zbl 1408.90200
Summary: In linear programming based branch-and-bound algorithms, many heuristics have been developed to improve primal solutions, but on the dual side we rely solely on cutting planes to improve dual bounds. We design a dual heuristic which incorporates relaxation algorithms within a branch-and-bound framework to improve dual bounds. We study the effect of solving various relaxations with dual heuristics by conducting a series of computational tests on the multi-dimensional knapsack problem.

##### MSC:
 90C11 Mixed integer programming 90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut 90C59 Approximation methods and heuristics in mathematical programming
##### Keywords:
dual heuristic; branch-and-bound; knapsack; relaxations
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##### References:
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