Interval Spanning Trees Problem: Solvability and Computational Complexity
@inproceedings{Kozina1994IntervalST, title={Interval Spanning Trees Problem: Solvability and Computational Complexity}, author={Galina Kozina and Vitaly A. Perepelitsa}, year={1994} }
The optimization Spanning Trees Problem on graphs with interval weights is presented. The interval function is defined as the sum of interval weights of feasible spanning tree edges. The relation order introduced into set of feasible solutions generates the Pareto set which is considered as the solution of the interval problem. The questions of solvability and computational complexity are investigated by applying the multicriterial approach.
24 Citations
On the complexity of the robust spanning tree problem with interval data
- Mathematics, Computer ScienceOper. Res. Lett.
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- Computer Science, MathematicsUAI
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This paper considers the robust spanning tree problem with interval data and proposes a constraint satisfaction approach using a combinatorial lower bound, a pruning component that removes infeasible and suboptimal edges, as well as a search strategy exploring the most uncertain edges first.
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Well-known optimization problems on graphs are considered under uncertainty when parameter domains are specified in the form of intervals, and sufficient conditions of statistical efficiency of a proposed approximate algorithm are constructively substantiated.
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This paper investigates noisy versions of the Minimum Spanning Tree (MST) problem and compares the generalization properties of MST algorithms and provides insights for algorithm design when noise in combinatorial optimization is unavoidable.
Simulated annealing algorithm for the robust spanning tree problem
- Computer ScienceJ. Heuristics
- 2008
This is the first attempt to develop a metaheuristic approach for solving the robust spanning tree problem with interval data, namely simulated annealing, in order to calculate an approximate solution for large scale instances efficiently.
A branch and bound algorithm for the robust spanning tree problem with interval data
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- Business, Computer ScienceJ. Heuristics
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This paper addresses the central spanning tree problem with a hybrid heuristic consisting of: (1) a greedy construction heuristic to get a good initial solution and (2) fast local search improvement.
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- Computer ScienceExperience of Designing and Applications of CAD Systems in Microelectronics. Proceedings of the VI-th International Conference. CADSM 2001 (IEEE Cat. No.01 EX473)
- 2001
In this case, interval optimization problem with interval objective function is considered, which involves solving optimization problems on graphs on graphs under uncertainty.
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