Design of Zone Tariff Systems in Public Transportation

References

• Babel L., Kellerer H. Design of tariff zones in public transportation systems: Theoretical and practical results. (2001) . Technical report, Faculty of Economics, University of Graz, Graz, AustriaGoogle Scholar
• Duran B. S., Odell P. L.Cluster Analysis—A Survey (1974) (Lecture Notes in Economics and Mathematical Systems, no. 100. Springer, Berlin-Heidelberg-New York) Google Scholar
• Floyd R. W. Algorithm 97: Shortest path. Comm. ACM (1962) 5:345Crossref, Google Scholar
• Garey M. R., Johnson D. S.Computers and Intractability—A Guide to the Theory of NP-Completeness (1979) (H.W. Freeman and Co., San Francisco, CA) Google Scholar
• Hamacher H. W.Mathematische Lösungsverfahren für planare Standortprobleme (1995) . (Mathematical Solution Algorithms for Planar Location Problems). Vieweg Braunschweig, GermanyCrossref, Google Scholar
• Hamacher H. W., Schöbel A. On fair zone design in public transportation. Computer-Aided Transit Scheduling (1995) 8–22no. 430. Lecture Notes in Economics and Mathematical Systems. Springer, Berlin, Germany and Heidelberg, GermanyCrossref, Google Scholar
• Hays W. L.Statistics (1981) 3rd ed(Holt, Rinehart and Winston, New York) Google Scholar
• Love R. F., Morris J. G., Wesolowsky G. O.Facilities Location (1988) (North-Holland, Amsterdam, The Netherlands) 51–60Chapter 3.3Google Scholar
• Penner K. Fahrpreisgestaltung im öffentlichen Verkehr. (1997) . Master's thesis, Universität Kaiserslautern, Kaiserslautern, GermanyGoogle Scholar
• Plastria F., Drezner Z. Continuous location problems. Facility Location: A Survey of Applications and Methods (1995) (Springer, New York) 225–262Chapter 11Crossref, Google Scholar
• Sarkadi K., Vincze I.Mathematical Methods of Statistical Quality Control (1974) (Academic Press, New York and London, U.K.) Google Scholar
• Schöbel A. Fair zone design in public transportation networks. Operations Research Proceedings 1994 (1994a) (Springer Verlag, Berlin, Germany) 191–196Google Scholar
• Schöbel A. Methoden der kombinatorischen Optimierung in der Tarifplanung im öffentllichen Personennahverkehr (Methods of combinatorial optimization in tariff planning in public transportation). (1994b) . Master's thesis, Universität Kaiserslautern, Kaiserslautern, GermanyGoogle Scholar
• Schöbel A. Zone planning in public transportation. Advanced Methods in Transportation Analysis (1996) (Springer Verlag, Berlin, Germany) 117–134Crossref, Google Scholar
• Schöbel G., Schöbel A. WabPlan—A software tool for design and evaluation of tariff systems. (1999) Google Scholar
• Warshall S. A theorem on Boolean matrices. J. ACM (1962) 9:11–12Crossref, Google Scholar