Abstract
MCACS-BRP, a new Ant Colony Optimization (ACO) based approach to solve the Bus Routing Problem is presented. MCACS is an extension of ACO, where two hierarchically connected casts of ants optimize two different objective functions. In MCACS-BRP, ants collaborate using information about the best results obtained in the particular cast. Experiments with real data from the Municipal Public Transport Union of the Upper Silesian Industrial District (KZK GOP) show that MCACS-BRP is worth further experiments and extensions.
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Bibliography
A. Bauer, B. Bullnheimer, R.F. Hartl, and C. Strauss. An Ant Colony Optimization approach for the single machine total tardiness problem. In Proceedings of the 1999 Congress on Evolutionary Computation,pages 1445–1450, Piscataway, NJ, 1999. IEEE Press.
B. Boffey. Multiobjective routing problems. Top, 3 (2): 167–220, 1995.
E. Bonabeau, M. Dorigo, and G. Theraulaz. Swarm Intelligence. From Natural to Artificial Systems. Oxford University Press, 1999.
E. Bonabeau, F. Henaux, S. Guérin, D. Snyers, P. Kuntz, and G. Théraulaz. Routing in telecommunication networks with “Smart” ant—like agents telecommunication applications. In Proceedings of IATA’98, Second Int. Workshop on Intelligent Agents for Telecommunication Applications, Lectures Notes in AI vol. 1437. Springer Verlag, 1998.
U. Boryczka. Ant Colony System and Bus Routing Problem. In Proceedings of CIMCA’99, Vienna, February 1999.
B. Bullnheimer, R. F. Hartl, and C. Strauss. An improved Ant System algorithm for the Vehicle Routing Problem. Technical Report POM-10/97, Institute of Management Science, University of Vienna, 1997a.
B. Bullnheimer, R. F. Hartl, and C. Strauss. A new rank?based version of the Ant System: A computational study. Technical report, Institute of Management Science, University of Vienna, 1997b.
B. Bullnheimer, R. F. Hartl, and C. Strauss. Applying the Ant System to the Vehicle Routing Problem. In S. Martello In I. H. Osman S. Voß and C. Roucairol, editors, Meta?Heuristics: Advances and Trends in Local Search Paradigms for Optimization, pages 109–120, Kluwer Academics, 1998.
B. Bullnheimer and C. Strauss. Tourenplanung mit dem Ant System. Technical report, Instituts für Betriebwirtschaftslehre, Universität Wien, 1996.
J. C. N. Climaco and E. Q. V. Martins. On the determination of the nondominated paths in a multiobjective network problem. In Proceedings of V Symposiöum über Operations Research, pages 255–258, Köln, 1980.
J. C. N. Climaco and E. Q. V. Martins. A bicriterion shortest path algorithm. European Journal of Operational Research, 11: 399–404, 1982.
A. Colorni, M. Dorigo, and V. Maniezzo. Distributed optimization by ant colonies. In F. Vavala and P. Bourgine, editors, Proceedings First Europ. Conference on Artificial Life, pages 134–142, Cambridge, 1991. MIT Press.
A. Colorni, M. Dorigo, V. Maniezzo, and M. Trubian. Ant system for job-shop scheduling. Belgian Journal of Operations Research, Statistics and Computer Science (JORBEL), 34: 39–53, 1994.
D. Costa and A. Hertz. Ants can colour graphs. Journal of the Operational Research Society, 48: 295–305, 1997.
J. R. Daduna and A. Wren. Computer-Aided Transit Scheduling. Springer-Verlag, 1988.
M. den Besten, T. Stützle, and M. Dorigo. Scheduling single machines by ants. Technical Report 99–16, IRIDIA, Université Libre de Bruxelles, Belgium, 1999.
T. Galvâo Dias and J. Falcâo e Cunha. Evaluating DSS for operational planning in public transport systems: Ten years of experience with GIST system. In Proceedings of CASPT 2000, Berlin, Germany, June 2000.
G. DiCaro and M. Dorigo. AntNet: A mobile agents approach to adaptive routing. Technical report, IRIDIA, Université Libre de Bruxelles, 1998a.
G. DiCaro and M. Dorigo. AntNet: Distributed stigmergetic control for communications networks. Journal of Artificial Intelligence Research (JAIR), 9: 317365, 1998b.
G. DiCaro and M. Dorigo. Extending AntNet for best-effort quality-of-service routing. In Unpublished presentation at ANTS’98 — From Ant Colonies to Artificial Ants: First International Workshop on Ant Colony Optimization, October 15–16, 1998c.
G. DiCaro and M. Dorigo. Two ant colony algorithms for best-effort routing in datagram networks. In Proceedings of the Tenth LASTED International Conference on Parallel and Distributed Computing and Systems (PDCS’98), pages 541–546, IASTED/ACTA Press, 1998d.
M. Dorigo. Optimization, Learning and Natural Algorithms (in Italian). PhD thesis, Dipartimento di Elettronica, Politecnico di Milano, IT, 1992.
M. Dorigo and G. Di Caro. The ant colony optimization meta—heuristic. In D. Corne, M. Dorigo, and F. Glover, editors, New Ideas in Optimization. McGraw—Hill, London, UK, 1999.
M. Dorigo, G. DiCaro, and L. Gambardella. Ant algorithms for distributed discrete optimization. Artif. Life, 5 (2): 137–172, 1999.
M. Dorigo and L. M. Gambardella. A study of some properties of Ant—Q. In Proceedings of Fourth International Conference on Parallel Problem Solving from Nature PPSNIVpages 656–665, Berlin, 1996. Springer—Verlag
M. Dorigo and L. M. Gambardella. Ant colonies for the Traveling Salesman Problem. Biosystems, 43: 73–81, 1997a.
M. Dorigo and L. M. Gambardella. Ant Colony System: A cooperative learning approach to the Traveling Salesman Problem. IEEE Trans. Evol. Comp, 1: 53–66, 1997b.
M. Dorigo, V. Maniezzo, and A. Colorni. Positive feedback as a search strategy. Technical Report 91–016, Politechnico di Milano, Italy, 1991.
M. Dorigo, V. Maniezzo, and A. Colorni. The Ant System: Optimization by a colony of cooperating agents. IEEE Trans. Syst. Man. Cybern, B26: 29–41, 1996.
O. Engelhardt-Funke and M. Kolonko. Cost—Benefit—Analysis of investments into railway networks with randomly perturbed operations. In Proceedings of CASPT 2000Berlin, Germany, June 2000
R. Freling. Scheduling Train Crews. A case study for the dutch railways. In Proceedings of CASPT 2000, Berlin, Germany, June 2000.
G. Gallo, G. Longo, S. Nguyen, and S. Pallottino. Directed hypergraphs and applications. Discrete Applied Mathematics, 40: 177–201, 1992.
L. M. Gambardella and M. Dorigo. Ant—Q. A reinforcement learning approach to the Traveling Salesman Problem. In Proceedings of Twelfth International Conference on Machine Learningpages 252–260, Palo Alto, CA, 1995. Morgan Kaufman
L. M. Gambardella and M. Dorigo. Solving symmetric and asymmetric TSPs by ant colonies. In Proceedings of the IEEE Conference on Evolutionary Computation ICEC96pages 622–627. IEEE Press, 1996
L. M. Gambardella and M. Dorigo. HAS—SOP: Hybrid Ant System for the Sequential Ordering Problem. Technical Report 11, IDSIA, 1997.
L. M. Gambardella, E. Taillard, and G. Agazzi. MACS—VRPTW: A Multiple Ant Colony System for vehicle routing problems with time windows. Technical Report 06–99, IDSIA, Lugano, Switzerland, 1999a.
L. M. Gambardella, E. D. Taulard, and M. Dorigo. Ant colonies for the QAP. Technical Report 4–97, IDSIA, Lugano, Switzerland, 1997.
L. M. Gambardella, E. D. Taillard, and M. Dorigo. Ant colonies for the QAP. Journal of the Operational Research Society (JORS), 50 (2): 167–176, 1999b.
F. Glover and M. Laguna. Tabu Search. Kluwer Academic Publishers, Dordrecht, 1997.
P.-P. Grasse. La reconstruction du nid et les coordinations inter—individuelles chez bellicositermes natalensis et cubitermes sp. La theorie de la stigmerie. Insects Soc, 6: 41–80, 1959.
R-P. Grasse. Termitologia, volume II. Paris, Masson, 1984.
P. Hansen. Bicriterion path problems. In G. Fandel and T. Gal, editors, Multi-criteria decision making: theory and applications, Lecture Notes in Economics and Mathematical Systems 177, pages 236–245. Springer, Heidelberg, 1980.
M. Heusse, S. Guérin, D. Snyers, and P. Kuntz. Adaptive agent—driven routing and load balancing in communication networks. Technical Report RR98001—IASC, Department Intelligence Artificielle et Sciences Cognitives, ENST Bretagne, 1998.
D. E. Kaufman and R. L. Smith. Fastest paths in time—dependent networks for intelligent vehicle—highway systems applications. IVHS Journal, 1 (1): 1–11, 1993.
A. S. K Kwan, R. S. K. Kwan, M. E. Parker, and A. Wren. Proving the versatility of automatic driver scheduling on difficult train * bus problems. In Proceedings of CASPT 2000, Berlin, Germany, June 2000.
G. Leguizamen and Z. Michalewicz. A new version of Ant System for subset problems. In Proceedings of the 1999 Congress on Evolutionary Computation,pages 1459–1464, Piscataway, NJ, 1999. IEEE Press.
Y.-C. Liang and A. E. Smith. An Ant System approach to redundancy allocation. In Proceedings of the 1999 Congress on Evolutionary Computation,pages 1478–1484, Piscataway, NJ, 1999. IEEE Press.
H. Ramalhinho Lourenço and D. Serra. Adaptive approach heuristics for the generalized assignment problem. Technical Report EWP Series No. 304, Department of Economics and Management, Universitat Pompeu Fabra, Barcelona, 1998.
V. Maniezzo. Exact and approximate nondeterministic tree—search procedures for the quadratic assignment problem. Technical Report CSR 98–1, C. L. In Scienze dell’Informazione, Università di Bologna, sede di Cesena, Italy, 1998.
V. Maniezzo and A. Carbonaro. An ANTS heuristic for the frequency assignment problem. Technical Report CSR 98–4, Scienze dell’Informazione, Università di Bologna, Sede di Cesena, Italy, 1998.
V. Maniezzo and A. Colomi. The Ant System applied to the Quadratic Assignment Problem. IEEE Trans. Knowledge and Data Engineering, 1999.
V. Maniezzo and A. Colorni. An ANTS heuristic for the frequency assignment problem. Future Generation Computer Systems, 16: 927–935, 2000.
V. Maniezzo, A. Colorni, and M. Dorigo. The Ant System applied to the Quadratic Assignment Problem. Technical Report 94-?-28, IRIDIA, Université Libre de Bruxelles, Belgium, 1994.
E. Q. V. Martins. On a Multicriteria Shortest Path Problem. European Journal of Operational Research, 16: 236–245, 1984.
M. Meilton. Selecting and implementing a computer aided scheduling system for a large bus company. In Proceedings of CASPT 2000, Berlin, Germany, June 2000.
R. Michel and M. Middendorf. An island model based Ant System with lookahead for the Shortest Supersequence Problem. In A. E. Eiben, T. Back, M. Schoenauer, and H.-P. Schwefel, editors, Proceedings of PPSN-V, Fifth International Conference on Parallel Problem Solving from Nature, pages 692–701. Springer-Verlag, 1998.
R. Michel and M. Middendorf. An ACO algorithm for the Shortest Common Supersequence Problem. In D. Come, M. Dorigo, and F. Glover, editors, New Methods in Optimisation. McGraw-Hill, 1999.
J. Mote, I. Murthy, and D. Olson. A parametric approach to solving bicriterion shortest path problems. European Journal of Operational Research, 53: 81–92, 1991.
K. Nachtigall. Time depending shortest-path problems with applications to railway networks. European Journal of Operational Research, 83 (1): 154–166, 1995.
S. Nguyen and S. Pallottino. Equilibrium traffic assignment for large scale transit networks. European Journal of Operational Research, 37: 176–186, 1988.
A. Orda and R. Rom. Shortest-path and minimum-delay algorithms in network with time-dependent edge length. Journal of the ACM, 37 (3): 607–625, 1990.
A. Orda and R. Rom. Minimum weight paths in time-dependent network. Networks, 21 (3): 295–320, 1991.
I. Osman and G. Laporte. Metaheuristics: A bibliography. Annals of Operations Research, 63: 513–623, 1996.
A. De Palma, P. Hansen, and M. Labbé. Commuters’ paths with penalties for early or late arrival times. Transportation Science, 24 (4): 276–286, 1993.
C. Reeves. Modem heuristic techniques for combinatorial problems. In Advanced Topics in Computer Science. McGrawHill, London, 1995.
J.-M. Rousseau. Computer Scheduling of Public Transport 2. North Holland, 1985.
J.-M. Rousseau. Scheduling regional transportation with HASTUS. In Proceedings of CASPT 2000, Berlin, Germany, June 2000.
H. M. Safer and J. B. Orlin. Fast approximation schemes for multi-criteria combinatorial optimization. Technical Report 3756–95, Sloan School of Management, Massachusetts Institute of Technology, 1995.
R. Schoonderwoerd, O. Holland, and J. Bruten. Ant-like agents for load balancing in telecommunications networks. In Proceedings of the First International Conference on Autonomous Agents, pages 209–216. ACM Press, 1997.
R. Schoonderwoerd, O. Holland, J. Bruten, and L. Rothkrantz. Ant-based load balancing in telecommunications networks. Adaptive Behavior, 5 (2): 169–207, 1996.
A. Schrijver. Minimum circulation of railway stock. CWI Quarterly, 6: 205–217, 1993.
C. R. Delgado Sema and J. Pacheco Bonrostro. MINMAX vehicle routing problems: Application to school transport in the province of Burgos (Spain). In Proceedings of CASPT 2000, Berlin, Germany, June 2000.
T. Stützle. An ant approach to the Flow Shop Problem. Technical Report AIDA-97–07, FG Intellektik, FB Informatik, TH Darmstadt, September 1997.
T. Stützle and H. Hoos. Improvements on the Ant System: Introducing MAX-MIN Ant System. In In Proceedings of the International Conference on Artificial Neural Networks and Genetic Algorithms,pages 245–249, Wien, 1997a. Springer Verlag.
T. Stützle and H. Hoos. The MAX-MIN Ant System and Local Search for the Traveling Salesman Problem. In T. Baeck, Z. Michalewicz, and X. Yao, editors, Proceedings of IEEE-ICEC-EPS’97, IEEE International Conference on Evolutionary Computation and Evolutionary Programming Conference, pages 309–314. IEEE Press, 1997b.
T. Stüzle and H. Hoos. MAX-MIN Ant System and Local Search for combinatorial optimisation problems. In Proceedings of the Second International conference on Metaheuristics MIC’97,Dordrecht, 1998. Kluwer Academic.
D. Subramanian, P. Druschel, and J. Chen. Ants and Reinforcement Learning: A case study in routing in dynamic networks. In Proceedings of IJCAI-97, International Joint Conference on Artificial Intelligence. Morgan Kaufmann, 1997.
T. Tuip. CVI: Bilder of Dutch Public Transport Information System. Personal Communication, 1993.
R. van der Put. Routing in the faxfactory using mobile agents. Technical Report R*D—SV-98–276, KPN Research, 1998.
G. Navarro Varela and M. C. Sinclair. Ant Colony Optimisation for virtualwavelength—path routing and wavelength allocation. In Proceedings of the 1999 Congress on Evolutionary Computation,pages 1809–1816, Piscataway, NJ, 1999. IEEE Press.
A. R. Warburton. Bicriterion shortest path problems. Technical Report 84–27, University of Ottawa, 1984.
A. R. Warburton. Approximation of pareto optima in multiple—objective shortest—path problems. Operations Research, 35: 70–79, 1987.
T. White, B. Pagurek, and F. Oppacher. Connection management using adaptive mobile agents. In H.R. Arabnia, editor, Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA’98), pages 802–809. CSREA Press, 1998.
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Boryczka, U., Boryczka, M. (2003). Multi-Cast Ant Colony System for the Bus Routing Problem. In: Metaheuristics: Computer Decision-Making. Applied Optimization, vol 86. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4137-7_5
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