Abstract:
An analogy with the way ant colonies function has suggested the definition of a new computational paradigm, which we call Ant System. We propose it as a viable new approach to stochastic combinatorial optimization. The main characteristics of this model are positive feedback, distributed computation, and the use of a constructive greedy heuristic. Positive feedback accounts for rapid discovery of good solutions, distributed computation avoids premature convergence, and the greedy heuristic helps find acceptable solutions in the early stages of the search process. We apply the proposed methodology to the classical Traveling Salesman Problem (TSP), and report simulation results. We also discuss parameter selection and the early setups of the model, and compare it with tabu search and simulated annealing using TSP. To demonstrate the robustness of the approach, we show how the Ant System (AS) can be applied to other optimization problems like the asymmetric traveling salesman, the quadrat...
Citations
|
350
|
Tabu search { part I
– Glover
- 1989
|
|
315
|
Simulated annealing and Boltzmann machines
– Aarts, Korst
- 1989
|
|
199
|
Tabu search, part II
– Glover
- 1989
|
|
141
|
Distributed optimization by ant colonies
– Colorni, Dorigo, et al.
- 1991
|
|
112
|
Fast algorithms for geometric traveling salesman problems
– Bentley
- 1992
|
|
86
|
Optimization, learning and natural algorithms
– Dorigo
- 1992
|
|
86
|
Scheduling problems and travelling salesman: the genetic edge recombination operator
– Whitley, Starkweather, et al.
- 1989
|
|
80
|
Positive feedback as a search strategy
– Dorigo, Maniezzo, et al.
- 1991
|
|
67
|
Ant System for job-shop scheduling
– Colorni, Dorigo, et al.
- 1994
|
|
65
|
Evolutionsstrategie und numerische Optimierung
– Schwefel
- 1975
|
|
61
|
An experimental comparison of techniques for the assignment of facilities to locations
– Nugent, Vollmann, et al.
- 1969
|
|
38
|
An investigation of some properties of the ant algorithm
– Colorni, Dorigo, et al.
- 1992
|
|
29
|
Hospital layout as a quadratic assignment problem
– Elshafei
- 1977
|
|
24
|
The Immune Recruitment Mechanism: A Selective Evolutionary Strategy
– Bersisni, Varela
- 1991
|
|
24
|
Computer-aided Layout Design
– Krarup, Pruzan
- 1978
|
|
22
|
Collective patterns and decision-making
– Deneubourg, Goss
- 1989
|
|
18
|
Heuristics from Nature for Hard Combinatorial Problems
– Colorni, Maffioli, et al.
|
|
15
|
Lenstra and A.H.G. Rinnooy Kan, Optimization and approximation in deterministic sequencing and scheduling: A survey, Annals of Operations Research 5
– Graham, Lawler, et al.
- 1979
|
|
14
|
M.P.Vecchi, "Optimization by Simulated Annealing
– Kirkpatrick
- 1983
|
|
14
|
An effective heuristic algorithm for the TSP
– Lin, Kernighan
- 1973
|
|
12
|
A.H.G.Rinnooy Kan, "Optimization and Approximation in Deterministic Sequencing and Scheduling: a Survey
– Graham, Lenstra
- 1979
|
|
11
|
An additive bounding procedure for the asymmetric travelling salesman problem
– Fischetti, Toth
- 1992
|
|
6
|
Empiric analysis of heuristics," in The Travelling Salesman Problem
– Golden
- 1985
|
|
4
|
Quadratic Assignment Problems
– Burkhard
- 1984
|
|
3
|
N.Christofides, "Distribution management: mathematical modeling and practical analysis
– Eilon
- 1969
|
|
3
|
A.H.G.Rinnooy-Kan, D.B.Shmoys eds., The Travelling Salesman Problem
– Lawler
- 1985
|
|
3
|
The Ant System Applied to the Quadratic Assignment
– Maniezzo, Colorni
- 1994
|
|
1
|
J.C.Verhaeghe, "Probabilistic Behaviour in Ants: a Strategy of Errors
– Deneubourg
- 1983
|
|
1
|
26 Dorigo et al.: Ant System: Optimization by a Colony of Cooperating Agents
– Goldberg
- 1989
|
|
1
|
1.0, Institut für Mathematik, Universität
– Reinelt
- 1990
|
|
1
|
1.0, Institut fr Mathematik, Universitt
– Reinelt
- 1990
|