Abstract
In this paper we present a cooperative game for a network design. The game model adopts for the cooperating players the profit maximizing requirement. Since the players may use different paths, there is the possibility to cooperate and design the optimal network satisfying the requests of all the players and minimizing the cost. The solution of the game is determined by the core concept, well known in cooperative game literature. By means of several examples, both analytical and numerical solutions are proposed. Concerning the computational procedure, in this work an algorithmic approach based on ant colony model is employed. Finally, an application to the airline network design is discussed, providing a numerical example for intercontinental air traffic routes.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Adler, N., Smilowitz, K.: Hub-and-spoke network alliances and mergers: Price-location competition in the airline industry. Transp. Res. Part B 41, 394–440 (2007)
Avrachenkov, K., Elias, J., Martignon, F., Neglia, G., Petrosyan, L.: A Nash bargaining solution for cooperative network formation games. In: Proceedings of Networking 2011, Valencia, Spain, 9–13 May 2011
Bittlingmayer, G.: Efficiency and entry in a simple airline network. Int. J. Ind. Organ. 8, 245–257 (1990)
Braun, M., Koch, A., Dahlmann, K., Grewe, V., Gollnick, V.: An airline network design approach considering environmental and economical targets. iN: 27th International Congress of the Aeronautical Sciences, Nice, France (2010)
Bullnheimer, B., Hartl, R.F., Strauss, C.: A new rank-based version of the ant system: a computational study. Cent. Eur. J. Oper. Res. Econ. 7(1), 25–38 (1997)
Chen, H., Roughgarden, T., Valiant, G.: Designing networks with good equilibria. In: SODA ’08/SICOMP ’10 (2008)
DAmato, E., Iuspa, L., Del Core, G.: A distributed ant colony algorithm for topological optimization of 2D structural domains. iN: Proceedings of EUROGEN2011 Evolutionary and Deterministic Methods for Design, Optimization and Control, pp. 108–123 (2011)
Dorigo, M., Blum, C.: Ant colony optimization theory: a survay. Theor. Comput. Sci. 344, 243–278 (2005)
Eurocontrol: European Route Network Improvement Plan, Part 1: Airspace Design Methdology, https://www.eurocontrol.int/sites/default/files/publication/files/ernip-part-1-airspace-design-methodology$_0$.pdf (2015)
Gilles, R.P., Chakrabarti, S., Sarangi, S.: Nash equilibria of network formation games under consent. Math. Soc. Sci. 64, 159–165 (2012)
Jaillet, P., Song, G., Yu, G.: Airline network design and hub location problems. Locat. Sci. 4, 195–211 (1996)
Lederer, P.J.: A competitive network design problem with pricing. Transp. Sci. 27, 2538 (1993)
Lederer, P.J., Nambimadom, R.S.: Airline network design. Oper. Res. 46, 785804 (1998)
Mallozzi, L.: An application of Optimization Theory to the study of equilibria for games: a survey. Cent. Eur. J. Oper. Res. 21(3), 523–539 (2013)
Monderer, D., Shapley, L.S.: Potential games. Games Econ. Behav. 14, 124–143 (1996)
Marinakis, Y., Migdalas, A., Pardalos, P.M.: Expanding neighborhood searchGRASP for the probabilistic traveling salesman problem. Optim. Lett. 2, 351–361 (2008)
Moulin, H.: Game Theory for the Social Sciences, Second and Revised Edition. New York University Press, New York (1986)
Neumann, F., Witt, C.: Ant Colony Optimization and the minimum spanning tree problem. Theor. Comput. Sci. 411, 2406–2413 (2010)
Nisan, N., Roughgarden, T., Tardos, E., Vazirani, V.V.: Algorithmic Game Theory. Cambridge University Press, New York (2007)
OAG Worldwide Limited: Official Airline Guide, OAG Bedford (2007)
Oum, T.-H., Tretheway, M.W.: Airline hub and spoke systems. J. Transp. Res. Forum 30, 380–393 (1990)
Single European Sky ATM Research: http://www.sesarju.eu/newsroom/brochures-publications/release-5 (2015)
Sharkey, W.W.: Network models in economics. In: Bali, M.O., et al. (eds.) Handbooks in OR & MS, vol. 8, Ch. 9 (1995)
Topkis, D.: Supermodularity and Complementarity. Princeton University Press, Princeton NJ (1998)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG
About this chapter
Cite this chapter
D’Amato, E., Daniele, E., Mallozzi, L. (2019). Designing Networks in Cooperation with ACO. In: Minisci, E., Vasile, M., Periaux, J., Gauger, N., Giannakoglou, K., Quagliarella, D. (eds) Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences. Computational Methods in Applied Sciences, vol 48. Springer, Cham. https://doi.org/10.1007/978-3-319-89988-6_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-89988-6_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-89986-2
Online ISBN: 978-3-319-89988-6
eBook Packages: EngineeringEngineering (R0)