Stochastic delay propagation in railway networks and phase-type distributions

Transportation Research Part B: Methodological

Volumn 41, Issue 2, 2007, Pages 218-230

  Meester, Ludolf E ^a   Muns, Sander ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Phase type distributions; Railway networks; Stochastic delay propagation

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS; RAILROAD TRAFFIC CONTROL; RANDOM PROCESSES;

PHASE-TYPE DISTRIBUTIONS; RAILWAY NETWORKS; STOCHASTIC DELAY PROPAGATION;

RAILROAD TRANSPORTATION;

MATHEMATICAL THEORY; RAILWAY; STOCHASTICITY;

EID: 33748677681     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2006.02.007     Document Type: Article

References (11)

1. Asmussen S., Nerman O., and Olsson M. Fitting phase type distributions via the EM algorithm. Scandinavian Journal of Statistics 23 (1996) 419-441
2. Carey M., and Kwieciński A. Stochastic approximation to the effects of headways in knock-on delays of trains. Transportation Research Part B 28 4 (1994) 251-267
3. Carey M., and Kwieciński A. Properties of expected costs and performance measures in stochastic models of scheduled transport. European Journal of Operational Research 83 (1995) 182-199
4. Elmaghraby S. Activity Networks (1977), Wiley, New York
5. Goverde, R., Soto y Koelemeijer, G., 2000. Performance evaluation of periodic railway timetables: theory and algorithms, Technical report, TRAIL Studies in Transportation Science.
6. Higgins A., and Kozan E. Modeling train delays in urban networks. Transportation Science 32 4 (1998) 346-357
7. Mühlhans E. Berechnung der Verspätungsentwicklung bei Zugfahrten. Eisenbahntechnische Rundsch. 39 7-8 (1990) 465-468
8. Neuts M.F. Matrix-geometric solutions in stochastic models, an algorithmic approach. Johns Hopkins Series in the Mathematical Sciences vol. 2 (1981), Johns Hopkins University Press, Baltimore, MD
9. O'Cinneide C.A. Phase-type distributions: open problems and a few properties. Communications in Statistics Stochastic Models 15 4 (1999) 731-757
10. Rachev S.T. Probability metrics and the stability of stochastic models. Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics (1991), John Wiley & Sons Ltd., Chichester
11. Weigand W. Verspätungsübertragungen in Fernverkehrsnetzen. Eisenbahntechnische Rundsch. 30 12 (1981) 915-920