Abstract
We analyze the properties of a transportation network with time-dependent flows with the aim of finding the maximal component along the duration of a period of the variation of the flow. We apply this analysis method to the subway network of Munich. The analysis is detailed and results are included. Beyond the theoretical interest in this type of network with periodically varying properties, the paper presents a well-structured analysis method that can be widely applied to numerous other networks of applicative interest.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Teodorescu, H.-N.L.: Revisiting models of vulnerabilities of the networks. Stud. Inform. Control 25(4), 469–478 (2016)
West, D.B.: Introduction to Graph Theory. Prentice Hall, Upper Saddle River (1996)
Dijkstra, E.W.: A note on two problems in connexion with graphs. Numer. Math. 1(1), 269–271 (1959)
Lee, H.F., Dooly, D.R.: Algorithms for the constrained maximum-weight connected graph problem. Nav. Res. Logist. (NRL) 43(7), 985–1008 (1996)
El-Kebir, M., Klau, G.W.: Solving the maximum-weight connected subgraph problem to optimality. arXiv preprint arXiv:1409.5308 (2014)
Álvarez-Miranda, E., Ljubić, I., Mutzel, P.: The rooted maximum node-weight connected subgraph problem. In: Gomes, C., Sellmann, M. (eds.) International Conference on AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, pp. 300–315. Springer, Heidelberg (2013)
Li, Z., Zhang, S., Zhang, X.-S., Chen, L.: Exploring the constrained maximum edge-weight connected graph problem. Acta Math. Applicatae Sin. 25(4), 697–708 (2009). English Series
Dittrich, M.T., Klau, G.W., Rosenwald, A., Dandekar, T., Müller, T.: Identifying functional modules in protein-protein interaction networks: an integrated exact approach. Bioinformatics 24(13), i223–i231 (2008)
Guo, Z., Li, Y., Gong, X., Yao, C., Ma, W., Wang, D., Li, Y., Zhu, J., Zhang, M., Yang, D., et al.: Edge-based scoring and searching method for identifying condition-responsive protein-protein interaction sub-network. Bioinformatics 23(16), 2121–2128 (2007)
Shannon, P., Markiel, A., Ozier, O., Baliga, N.S., Wang, J.T., Ramage, D., Amin, N., Schwikowski, B., Ideker, T.: Cytoscape: a software environment for integrated models of biomolecular interaction networks. Genome Res. 13(11), 2498–2504 (2003)
Conrad, J.M., Gomes, C.P., van Hoeve, W.-J., Sabharwal, A., Suter, J.F.: Wildlife corridors as a connected subgraph problem. J. Environ. Econ. Manag. 63(1), 1–18 (2012)
Dilkina, B., Gomes, C.P.: Solving connected subgraph problems in wildlife conservation. In: Lodi, A., Milano, M., Toth, P. (eds.) International Conference on Integration of Artificial Intelligence (AI) and Operations Research (OR) Techniques in Constraint Programming, pp. 102–116. Springer, Heidelberg (2010)
Carvajal, R., Constantino, M., Goycoolea, M., Vielma, J.P., Weintraub, A.: Imposing connectivity constraints in forest planning models. Oper. Res. 61(4), 824–836 (2013)
Chen, C.-Y., Grauman, K.: Efficient activity detection with max-subgraph search. In: 2012 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 1274–1281 (2012)
Nistor, M.S., Bein, D., Bein, W., Dehmer, M., Pickl, S.: Time-based estimation of vulnerable points in the munich subway network. In: Doerner, K., Ljubic, I., Pflug, G., Tragler, G. (eds.) Operations Research Proceedings 2015: Selected Papers of the International Conference of the German, Austrian and Swiss Operations Research Societies (GOR, ÖGOR, SVOR/ASRO), Vienna, Austria, 1–4 September 2015, pp. 355–360. Springer, Cham (2017)
Nistor, M.S., Pickl, S.W., Raap, M., Zsifkovits, M.: Network efficiency and vulnerability analysis using the flow-weighted efficiency measure. Int. Trans. Oper. Res. (2017). doi:10.1111/itor.12384
Münchner Verkehrsgesellschaft mbH (MVG): MVG in figures (2016). https://www.mvg.de/dam/mvg/ueber/unternehmensprofil/mvg-in-figures-s. Accessed 12 Mar 2017
MVV - Münchner Verkehrs- und Tarifverbund: MVV GmbH (2017). http://www.mvv-muenchen.de/. Accessed 12 Mar 2017
MVV - Münchner Verkehrs- und Tarifverbund: Alle Informationen zu den Bahnhöfen im MVV (2015). http://www.mvv-muenchen.de/de/netz-bahnhoefe/bahnhofsinformation/index.html. Accessed 12 Mar 2017
Acknowledgments
MSN was supported by the German Federal Ministry of Education and Research (BMBF), project RE(H)STRAIN (Grant No. 13N13786). HNT was supported by a DAAD travel and exchange grant. Doina Bein acknowledges the support by Air Force Office of Scientific Research under award number FA9550-16-1-0257.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Nistor, M.S., Bein, D., Teodorescu, H.N., Pickl, S.W. (2018). Finding the Maximal Day-Time Dependent Component of a Subway System. In: Cassenti, D. (eds) Advances in Human Factors in Simulation and Modeling. AHFE 2017. Advances in Intelligent Systems and Computing, vol 591. Springer, Cham. https://doi.org/10.1007/978-3-319-60591-3_51
Download citation
DOI: https://doi.org/10.1007/978-3-319-60591-3_51
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-60590-6
Online ISBN: 978-3-319-60591-3
eBook Packages: EngineeringEngineering (R0)