Ejection chains, reference structures and alternating path methods for traveling salesman problems
Discrete Applied Mathematics - Special volume: first international colloquium on graphs and optimization (GOI), 1992
An efficient implementation of a scaling minimum-cost flow algorithm
Journal of Algorithms
Intensification and diversification with elite tabu search solutions for the linear ordering problem
Computers and Operations Research
A More Portable Fortran Random Number Generator
ACM Transactions on Mathematical Software (TOMS)
Tabu Search
Tabu Search for a Network Loading Problem with Multiple Facilities
Journal of Heuristics
Probability Distribution of Solution Time in GRASP: An Experimental Investigation
Journal of Heuristics
Journal of Global Optimization
Algorithms and Extended Formulations for One and Two Facility Network Design
Proceedings of the 5th International IPCO Conference on Integer Programming and Combinatorial Optimization
A Cutting Plane Algorithm for Multicommodity Survivable Network Design Problems
INFORMS Journal on Computing
INFORMS Journal on Computing
A Hybrid GRASP with Perturbations for the Steiner Problem in Graphs
INFORMS Journal on Computing
A survey of very large-scale neighborhood search techniques
Discrete Applied Mathematics
Computers and Operations Research
Exact solution of multicommodity network optimization problems with general step cost functions
Operations Research Letters
Adaptive and multi-mining versions of the DM-GRASP hybrid metaheuristic
Journal of Heuristics
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This paper focuses on the use of different memory strategies to improve multistart methods. A network design problem in which the costs are given by discrete stepwise increasing cost functions of the capacities installed in the edges is used to illustrate the contributions of adaptive memory and vocabulary building strategies. Heuristics based on shortest path and maximum flow algorithms are combined with adaptive memory in order to obtain an approximate solution to the problem in the framework of a multistart algorithm. Furthermore, a vocabulary building intensification mechanism supported by the resolution of a linear program is also explored. Numerical experiments have shown that the proposed algorithm obtained the best known solutions for some instances in the literature. These results show the contribution of each memory component and the effectiveness of their combination.