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RAMP for the capacitated minimum spanning tree problem
DOI:10.1007/s10479-010-0800-4.png)
Abstract
En 中文
This paper introduces dual and primal-dual RAMP algorithms for the solution of the capacitated minimum spanning tree problem (CMST). A surrogate constraint relaxation incorporating cutting planes is proposed to explore the dual solution space. In the dual RAMP approach, primal-feasible solutions are obtained by simple tabu searches that project dual solutions onto primal feasible space. A primal-dual approach is achieved by including a scatter search procedure that further exploits the adaptive memory framework. Computational results from applying the methods to a standard set of benchmark problems disclose that the dual RAMP algorithm finds high quality solutions very efficiently and that its primal-dual enhancement is still more effective.
Keywords:
Minimum spanning tree
Heuristics
Surrogate constraints
Scatter search
Tabu search
RAMP
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