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RAMP for the capacitated minimum spanning tree problem

delete2010-10-19
delete19
PRE
AI
C
César Rego *
F
Frank Mathew
F
Fred Glover
DOI:10.1007/s10479-010-0800-4delete
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Abstract

Abstract

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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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Journal

Annals of Operations Research cover
Annals of Operations Research
IF:
4.5
Papers:
8.1K
Citations:
2.1W

Organization

University of Colorado System cover
University of Colorado System
Scholars:
6.3W
Papers: 5.5W
Citations: 1.8K
U
University of Mississippi
Scholars:
9.5K
Papers: 7.9K
Citations: 5.8K
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