Solving shortest path problems with a weight constraint and replenishment arcs

Computers and Operations Research

Volumn 39, Issue 5, 2012, Pages 964-984

  Smith, Olivia J ^a   Boland, Natashia ^b   Waterer, Hamish ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Labeling algorithms; Preprocessing; Replenishment; Resource constraints; Shortest paths

Indexed keywords

AIRCRAFT ROUTING; COMPUTATIONAL EXPERIMENT; CONSTRAINED SHORTEST PATH; CREW PAIRING; CREW SCHEDULING; DIRECTED NETWORK; FLIGHT TIME; LABELING ALGORITHMS; PRE-PROCESSING METHOD; PREPROCESSING; RESOURCE CONSTRAINT; SHORTEST PATH; SHORTEST PATH PROBLEM; WEIGHT CONSTRAINTS;

ALGORITHMS; GRAPH THEORY;

WIRELESS SENSOR NETWORKS;

EID: 80052271894     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2011.07.017     Document Type: Article

References (40)

1. C. Barnhart, N.L. Boland, L.W. Clarke, E.L. Johnson, G.L. Nemhauser, and R.G. Shenoi Flight string models for aircraft fleeting and routing Transportation Science 32 3 1998 208 220 (Pubitemid 128585426)
2. C. Barnhart, E.L. Johnson, G.L. Nemhauser, and P. Vance Crew scheduling Handbook of transportation science 1999 Kluwer Academic Publishers 493 521 [chapter 14]
3. B. Bhattacharya, Y. Hu, and A. Kononov Approximation algorithms for the black and white traveling salesman problem G. Lin, Computing and combinatorics - COCOON 2007, Proceedings of the 13th annual international conference on computing and combinatorics, Banff, Canada. Lecture notes in computer science, vol. 4598 2007 559 567
4. N. Boland, J. Dethridge, and I. Dumitrescu Accelerated label setting algorithms for the elementary resource constrained shortest path problem Operations Research Letters 34 1 2006 58 68 (Pubitemid 41688319)
5. N.L. Boland, L.W. Clarke, and G.L. Nemhauser The asymmetric traveling salesman problem with replenishment arcs European Journal of Operational Research 123 2 2000 408 427 (Pubitemid 30596936)
6. M. Bourgeois, G. Laporte, and F. Semet Heuristics for the black and white traveling salesman problem Computers & Operations Research 30 1 2003 75 85 (Pubitemid 35404863)
7. E.A. Cabral, E. Erkut, G. Laporte, and R.A. Patterson Wide area telecommunication network design: application to the Alberta SuperNet Journal of the Operational Research Society 59 11 2008 1460 1470
8. E.A. Cabral, E. Erkut, G. Laporte, and R.A. Patterson The network design problem with relays European Journal of Operational Research 180 2 2007 834 844 (Pubitemid 46199065)
9. W.M. Carlyle, J.O. Royset, and R.K. Wood Lagrangian relaxation and enumeration for solving constrained shortest-path problems Networks 52 4 2008 256 270
10. A.M. Cohn, and C. Barnhart Improving crew scheduling by incorporating key maintenance routing decisions Operations Research 51 3 2003 387 396
11. J.F. Cordeau, G. Stojkovic, F. Soumis, and J. Desrosiers Benders decomposition for simultaneous aircraft routing and crew scheduling Transportation Science 35 4 2001 375 388 (Pubitemid 34125355)
12. P.R. Day, and D.M. Ryan Flight attendant rostering for short-haul airline operations Operations Research 45 5 1997 649 661 (Pubitemid 127684738)
13. G. Desaulniers, J. Desrosiers, Y. Dumas, S. Marc, B. Rioux, and M.M. Solomon Crew pairing at Air France European Journal of Operational Research 97 2 1997 245 259 (Pubitemid 127381084)
14. G. Desaulniers, J. Desrosiers, I. Ioachim, M.M. Solomon, F. Soumis, and D. Villeneuve A unified framework for deterministic time constrained vehicle routing and crew scheduling problems T.G. Crainic, G. Laporte, Fleet management and logistics 1998 Kluwer Boston 57 93
15. M. Desrochers, and F. Soumis A generalized permanent labeling algorithm for the shortest-path problem with time windows INFOR 26 3 1988 191 212
16. J. Desrosiers, Y. Dumas, M. Solomon, and F. Soumis Time constrained routing and scheduling Handbook in operations research and management science. Network routing 1995 Springer 35 139 [chapter 8]
17. I. Dumitrescu, and N. Boland Improved preprocessing, labeling and scaling algorithms for the weight-constrained shortest path problem Networks 42 3 2003 135 153
18. Cabral EA. Wide area telecommunication network design: problems and solution algorithms with application to the Alberta SuperNet. PhD thesis, University of Alberta, Canada; 2005.
19. T. Fahle, U. Junker, S.E. Karisch, N. Kohl, M. Sellmann, and B. Vaaben Constraint programming based column generation for crew assignment Journal of Heuristics 8 1 2002 59 81 First workshop on integration of AI and OR techniques in constraint programming for combinatorial optimization problems (CP-AI-OR 1999), Ferrara, Italy; February 1999 (Pubitemid 34172763)
20. J.C. Falkner, and D.M. Ryan Express - set paritioning for bus crew scheduling in christchurch M. Desrochers, J.M. Rousseau, Computer-aided transit scheduling. Lecture notes in economics and mathematical systems, vol. 386 1992 Natl. Sci. Eng. Res. Council, Springer-Verlag Canada, Berlin 359 378 5th international workshop on computer-aided scheduling of public transport, Montreal, Canada
21. M.R. Garey, and D.S. Johnson Computers and intractability. A guide to the theory of NP-completeness 1979 Freeman Oxford, UK
22. G. Ghiani, G. Laporte, and F. Semet The black and white traveling salesman problem Operations Research 54 2 2006 366 378
23. P.E. Hart, N.J. Nilsson, and B. Raphael A formal basis for heuristic determination of minimum cost paths IEEE Transactions on Systems, Science and Cybernetics SSC4 2 1968 100 107
24. S. Irnich Resource extension functions: properties, inversion, and generalization to segments OR Spectrum 30 1 2008 113 148
25. S. Irnich, and G. Desaulniers Shortest path problems with resource constraints Column generation 2005 Springer 33 66 [chapter 2]
26. H. Jiang, X. Zhang, M. Li, and H. Che Using GavishGrave LP to formulate the directed black and white traveling salesman problem Y. Shi, J. Dongarra, P.M.A. Sloot, Computational Science - ICCS 2007, Pt 3, Proceedings of the 7th international conference on computational science, Beijing, China, May 2730, 2007. Lecture notes in computer science, vol. 4489 2007
27. D. Klabjan, E.L. Johnson, G.L. Nemhauser, E. Gelman, and S. Ramaswamy Airline crew scheduling with time windows and plane-count constraints Transportation Science 36 3 2002 337 348 (Pubitemid 34963896)
28. G. Laporte, and M.M.B. Pascoal Minimum cost path problems with relays Computers & Operations Research 38 1, Sp. Iss. SI 2011 165 173 11th international workshop on project managment and scheduling, Istanbul, Turkey
29. V. Mak, and N. Boland Heuristic approaches to the asymmetric travelling salesman problem with replenishment arcs International Transactions in Operational Research 7 4 2000 431
30. V. Mak, and N. Boland Facets of the polytope of the asymmetric travelling salesman problem with replenishment arcs Discrete Optimization 3 1 2006 33 49 (Pubitemid 43276316)
31. V. Mak, and N. Boland Polyhedral results and exact algorithms for the asymmetric travelling salesman problem with replenishment arcs Discrete Applied Mathematics 155 16 2007 2093 2110 (Pubitemid 47239104)
32. A. Mercier, J.F. Cordeau, and F. Soumis A computational study of Benders decomposition for the integrated aircraft routing and crew scheduling problem Computers and Operations Research 32 6 2005 1451 1476
33. A. Mercier, and F. Soumis An integrated aircraft routing, crew scheduling and flight retiming model Computers and Operations Research 34 8 2007 2251 2265 (Pubitemid 46073420)
34. R. Muhandiramge, and N. Boland Simultaneous solution of Lagrangean dual problems interleaved with preprocessing for the weight constrained shortest path problem Networks 53 4 2009 358 381
35. M. Sellmann, K. Zervoudakis, P. Stamatopoulos, and T. Fahle Crew assignment via constraint programming: integrating column generation and heuristic tree search Annals of Operations Research 115 14 2002 207 225 2nd international workshop on the integration of AI and OR techniques on constant programming for combinatorial optimization problems, PADERBORA, Germany; March 2000 (Pubitemid 37132215)
36. P.H. Vance, C. Barnhart, E.L. Johnson, and G.L. Nemhauser Airline crew scheduling: a new formulation and decomposition algorithm Operations Research 45 2 1997 188 200 (Pubitemid 127684698)
37. S. Yan, T.T. Tung, and Y.P. Tu Optimal construction of airline individual crew pairings Computers & Operations Research 29 4 2002 341 363 (Pubitemid 33038411)
38. Zhu Z. The aircraft rotation problem. PhD thesis, Georgia Institute of Technology; 1994.
39. K. Ziarati, F. Soumis, J. Desrosiers, S. Gelinas, and A. Saintonge Locomotive assignment with heterogeneous consists at CN North America European Journal of Operational Research 97 2 1997 281 292 (Pubitemid 127381087)
40. M. Ziegelmann Constrained shortest paths and related problems: constrained network optimization 2007 VDM-Verlag