Tabu Search Algorithm Based on Strategic Oscillation for Nonlinear Minimum Spanning Tree Problems
Part of the
Lecture Notes in Electrical Engineering
book series (LNEE, volume 5)
The minimum spanning tree (MST) problem is to find the least cost spanning tree in an edge-weighted graph. In the real world, MST problems are usually seen in network optimization. For instance, when designing a layout for telecommunication systems, if a decision maker prefers to minimize the total cost for connection between cities or sections, it is formulated as an MST problem. In other examples, the objective is to minimize the total time for construction or to maximize the network reliability.
In classical MST problems, weights attached to edges are constant, and all the weights are independent of each other. In other words, the objective function is linear. Polynomial–time algorithms for solving a usual MST problem were first constructed by Kruskal  and Prim . Gabow et al.  and Chazelle  developed more efficient algorithms.
This paper is organized as follows: Section 2 formulates a nonlinear MST problem. In Section 3, we propose a solution algorithm using TS. Section 4 provides numerical experiments and shows the advantage of our algorithm over the algorithm using a GA.
KeywordsLocal Search Span Tree Tabu Search Tabu List Tabu Search Algorithm
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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