Recoverable robust timetabling for single delay: Complexity and polynomial algorithms for special cases

Journal of Combinatorial Optimization

Volumn 18, Issue 3, 2009, Pages 229-257

  Cicerone, Serafino ^a   D'Angelo, Gianlorenzo ^a   Di Stefano, Gabriele ^a   Frigioni, Daniele ^a   Navarra, Alfredo ^b  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b UNIVERSITY OF PERUGIA   (Italy)

Author keywords

Recoverable robustness; Robust optimization; Timetable optimization

Indexed keywords

NP-HARD; OBJECTIVE FUNCTIONS; OPTIMAL SOLUTIONS; PASSENGER TRAIN; POLYNOMIAL ALGORITHM; RECOVERABLE ROBUSTNESS; ROBUST ALGORITHM; ROBUST OPTIMIZATION; TIMETABLE OPTIMIZATION; TIMETABLE PLANNING; TIMETABLING; WAITING-TIME;

COMPUTATIONAL COMPLEXITY; LOCOMOTIVES; RAILROAD CARS;

OPTIMIZATION;

EID: 70349850939     PISSN: 13826905     EISSN: 15732886     Source Type: Journal    
DOI: 10.1007/s10878-009-9247-4     Document Type: Article

References (17)

1. HG Bayer B Sendhoff 2007 Robust optimization-a comprehensive survey Comput Methods Appl Mech Eng 196 33-34 3190 3218 10.1016/j.cma.2007.03.003 (Pubitemid 46780137)
2. Ben-Tal A, El Ghaoui L, Nemirovski A (2006) Mathematical programming: special issue on robust optimization, vol 107. Springer, Berlin
3. D Bertsimas M Sim 2004 The price of robustness Oper Res 52 1 35 53 1165.90565 10.1287/opre.1030.0065 2066239 (Pubitemid 40000812)
4. Cicerone S, D'Angelo G, Di Stefano G, Frigioni D, Navarra A (2007) Robust algorithms and price of robustness in shunting problems. In: Proc of the 7th workshop on algorithmic approaches for transportation modeling, optimization, and systems (ATMOS'07), pp 175-190
5. Cicerone S, D'Angelo G, Di Stefano G, Frigioni D, Navarra A (2008) Delay management problem: Complexity results and robust algorithms. In: Proc of 2nd annual international conference on combinatorial optimization and applications (COCOA'08). Lecture notes in computer science, vol 5165. Springer, Berlin, pp 458-468
6. L De Giovanni G Heilporn M Labbé 2007 Optimization models for the delay management problem in public transportation Eur J Oper Res 189 3 762 774
7. Fischetti M, Monaci M (2006) Robust optimization through branch-and-price. In: Proceedings of the 37th annual conference of the Italian operations research society (AIRO)
8. Garey MR, Johnson DS (1979) Computers and intractability, a guide to the theory of NP-completeness. Freeman, New York
9. Gatto M, Glaus B, Jacob R, Peeters L, Widmayer P (2004) Railway delay management: Exploring its algorithmic complexity. In: Proc of the 9th Scandinavian workshop on algorithm theory (SWAT). Lecture notes in computer science, vol 3111. Springer, Berlin, pp 199-211
10. Gatto M, Jacob R, Peeters L, Schöbel A (2005) The computational complexity of delay management. In: Proc of the 31st international workshop on graph-theoretic concepts in computer science (WG). Lecture notes in computer science, vol 3787. Springer, Berlin, pp 227-238 (Pubitemid 43848616)
11. Gatto M, Jacob R, Peeters L, Widmayer P (2007) Online delay management on a single train line. In: Proc. of the algorithmic methods for railway optimization (ATMOS'04). Lecture notes in computer science, vol 4359. Springer, Berlin, pp 306-320
12. A Ginkel A Schöbel 2007 The bicriteria delay management problem Transp Sci 41 4 527 538 10.1287/trsc.1070.0212
13. Levy F, Thompson G, Wies J (1963) The ABCs of the critical path method. Graduate School of Business Administration, Harvard University
14. Liebchen C, Lüebbecke M, Möhring RH, Stiller S (2007) Recoverable robustness. Tech Rep ARRIVAL-TR-0066, ARRIVAL Project
15. C Liebchen S Stiller 2008 Delay resistant timetabling Public Transp 1 1 55 72 10.1007/s12469-008-0004-3
16. A Schöbel 2004 A model for the delay management problem based on mixed integer programming Electron Notes Theor Comput Sci 50 1 1 10 10.1016/S1571-0661(04)00160-4
17. Schöbel A (2007) Integer programming approaches for solving the delay management problem. In: Proc of the algorithmic methods for railway optimization (ATMOS'04). Lecture notes in computer science, vol 4359. Springer, Berlin, pp 145-170