Cyclic transfer algorithms for multivehicle routing and scheduling problems
Operations Research
Survivable network design: the capacitated minimum spanning network problem
Information Processing Letters
Journal of Global Optimization
Very Large-Scale Neighborhood Search for the K-Constraint Multiple Knapsack Problem
Journal of Heuristics
Further Extension of the TSP Assign Neighborhood
Journal of Heuristics
ACM Transactions on Algorithms (TALG)
Savings based ant colony optimization for the capacitated minimum spanning tree problem
Computers and Operations Research
Enhanced second order algorithm applied to the capacitated minimum spanning tree problem
Computers and Operations Research
Design of capacitated minimum spanning tree with uncertain cost and demand parameters
Information Sciences: an International Journal
A Centralized Network Design Problem with Genetic Algorithm Approach
Computational Intelligence and Security
LS(graph & tree): a local search framework for constraint optimization on graphs and trees
Proceedings of the 2009 ACM symposium on Applied Computing
Savings based ant colony optimization for the capacitated minimum spanning tree problem
Computers and Operations Research
Algorithms for the design of network topologies with balanced disjoint rings
Journal of Heuristics
A filter-and-fan algorithm for the capacitated minimum spanning tree problem
Computers and Industrial Engineering
Leveraging saving-based algorithms by master-slave genetic algorithms
Engineering Applications of Artificial Intelligence
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The capacitated minimum spanning tree (CMST) problem is to find a minimum cost spanning tree in a network where nodes have specified demands, with an additional capacity constraints on the subtrees incident to a given source node s. The capacitated minimum spanning tree problem arises as an important subproblem in many telecommunication network design problems. In a recent paper, Ahuja et al. (Math. Program. 91 (2001) 71) proposed two very large-scale neighborhood search algorithms for the capacitated minimum spanning tree problem. Their first node-based neighborhood structure is obtained by performing multi-exchanges involving several trees where each tree contributes a single node. Their second tree-based neighborhood structure is obtained by performing multi-exchanges where each tree contributes a subtree. The computational investigations found that node-based multi-exchange neighborhood gives the best performance for the homogenous demand case (when all nodes have the same demand), and the tree-based multi-exchange neighborhood gives the best performance for the heterogeneous demand case (when nodes may have different demands). In this paper, we propose a composite neighborhood structure that subsumes both the node-based and tree-based neighborhoods, and outperforms both the previous neighborhood search algorithms for solving the capacitated minimum spanning tree problem on standard benchmark instances. We also develop improved dynamic programming based exact algorithms for searching the composite neighborhood.