Minimizing total tardiness on one machine is NP-hard
Mathematics of Operations Research
The ant colony optimization meta-heuristic
New ideas in optimization
An ACO algorithm for the shortest common supersequence problem
New ideas in optimization
Local Search Heuristics for the Single Machine Total Weighted Tardiness Scheduling Problem
INFORMS Journal on Computing
An Iterated Dynasearch Algorithm for the Single-Machine Total Weighted Tardiness Scheduling Problem
INFORMS Journal on Computing
Ant colony system: a cooperative learning approach to the traveling salesman problem
IEEE Transactions on Evolutionary Computation
Ant system: optimization by a colony of cooperating agents
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Ant Colony Optimization with the Relative Pheromone Evaluation Method
Proceedings of the Applications of Evolutionary Computing on EvoWorkshops 2002: EvoCOP, EvoIASP, EvoSTIM/EvoPLAN
A New Approach to Solve Permutation Scheduling Problems with Ant Colony Optimization
Proceedings of the EvoWorkshops on Applications of Evolutionary Computing
Design of Iterated Local Search Algorithms
Proceedings of the EvoWorkshops on Applications of Evolutionary Computing
Fast ant colony optimization on reconfigurable processor arrays
IPDPS '01 Proceedings of the 15th International Parallel & Distributed Processing Symposium
Modelling ACO: Composed Permutation Problems
ANTS '02 Proceedings of the Third International Workshop on Ant Algorithms
Ant Algorithms for Assembly Line Balancing
ANTS '02 Proceedings of the Third International Workshop on Ant Algorithms
Bi-Criterion Optimization with Multi Colony Ant Algorithms
EMO '01 Proceedings of the First International Conference on Evolutionary Multi-Criterion Optimization
Computers and Operations Research
Ant colony optimization algorithm for a Bi-criteria 2-stage hybrid flowshop scheduling problem
Journal of Intelligent Manufacturing
Beam-ACO applied to assembly line balancing
ANTS'06 Proceedings of the 5th international conference on Ant Colony Optimization and Swarm Intelligence
Solving a bi-objective flowshop scheduling problem by pareto-ant colony optimization
ANTS'06 Proceedings of the 5th international conference on Ant Colony Optimization and Swarm Intelligence
A new ant colony algorithm for makespan minimization in permutation flow shops
Computers and Industrial Engineering
Engineering Applications of Artificial Intelligence
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Ant Colony Optimization is an evolutionary method that has recently been applied to scheduling problems. We propose an ACO algorithm for the Single Machine Total Weighted Tardiness Problem. Compared to an existing ACO algorithm for the unweighted Total Tardiness Problem our algorithm has several improvements. The main novelty is that in our algorithm the ants are guided on their way to good solutions by sums of pheromone values. This allows the ants to take into account pheromone values that have already been used for making earlier decisions.