An improved solution to the traveling salesman problem with thousands of nodes
Communications of the ACM - Special section on management of information systems
Simulated annealing: theory and applications
Simulated annealing: theory and applications
A parallel tabu search algorithm for large traveling salesman problems
Discrete Applied Mathematics
Exact solution of large-scale, asymmetric traveling salesman problems
ACM Transactions on Mathematical Software (TOMS)
A polyhedral approach to the asymmetric traveling salesman problem
Management Science
Algorithms and codes for dense assignment problems: the state of the art
Discrete Applied Mathematics
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
A genetic algorithm with a mixed region search for the asymmetric traveling salesman problem
Computers and Operations Research
Ant colony optimization theory: a survey
Theoretical Computer Science
Computers and Industrial Engineering
Ant colony system: a cooperative learning approach to the traveling salesman problem
IEEE Transactions on Evolutionary Computation
The hyper-cube framework for ant colony optimization
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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A collaborative optimization algorithm under a control framework is developed for the asymmetric traveling salesman problem (ATSP). The collaborative approach is not just a simple combination of two methods, but a deep collaboration in a manner like the feedback control. A notable feature of the approach is to make use of the collaboration to reduce the search space while maintaining the optimality. Compared with the previous work of the reduction procedure by Carpaneto, Dell'Amico et al. (1995) we designed a tighter and more generalized reduction procedure to make the collaborative method more powerful. Computational experiments on benchmark problems are given to exemplify the approach.