A Branch-and-Cut Procedure for the Vehicle Routing Problem with Time Windows
Published Online:1 May 2002https://doi.org/10.1287/trsc.36.2.250.565
References
- A branch-and-cut algorithm for vehicle routing problems. Ann. Oper. Res. (1994) 50:37–59Crossref, Google Scholar
- Solving the asymmetric travelling salesman problem with time windows by branch and cut. Konard-Zuse-Zentrum für Informationstechnik (1999) (Berlin, Germany) . Preprint SC 99-31Google Scholar
- Approache polyédrale du problème de tournées de véhicules. (1995) . Ph.D. thesis, Institut National Polytechnique de Grenoble, Grenoble, FranceGoogle Scholar
- Routing and scheduling of vehicles and crews—The state of the art. Comput. Oper. Res. (1983) 10:63–211Crossref, Google Scholar
- A parallel cutting plan algorithm for the vehicle routing problem with time windows. (1999) . Technical report, Computational and Applied Mathematics, Rice University, Houston, TXGoogle Scholar
- Polyhedral study of the capacitated vehicle routing. Math. Programming (1993) 60:21–52Crossref, Google Scholar
- A new optimization algorithm for the vehicle routing problem with time windows. Oper. Res. (1992) 40:342–354Link, Google Scholar
- , Golden B. L., Assad A. A. Vehicle routing with time windows: Optimization and approximation. Vehicle Routing: Methods and Studies (1988) (North-Holland, Amsterdam, The Netherlands) 65–84Google Scholar
- , Ball M. O., Magnati T. L., Monma C. L., Nemhauser G. L. Time constrained routing and scheduling. Handbooks in Operations Research and Management Science: Network Routing (1995) 8(North-Holland, Amsterdam, The Netherlands)35–139Google Scholar
- A polyhedral approach to the asymmetric travelling salesman problem. Management Sci. (1997) 43Link, Google Scholar
- Solving the orienteering problem through branch-and-cut. INFORMS J. Comput. (1998) 10:133–148Link, Google Scholar
- Algorithm 97, shortest path. Comm. ACM (1962) 5–345Crossref, Google Scholar
- On the edge-connectivity algorithm of Nagamochi and Ibaraki. (1994) . Working paper, ARTEMIS-IMAG, Université de Grenoble, Grenoble, FranceGoogle Scholar
- Multiterminal network flows. SIAM J. Appl. Math. (1961) 9:551–570Crossref, Google Scholar
- Polyhedral theory. The Traveling Salesman Problem (1985) (Wiley, Chichester, U.K.) 251–306Google Scholar
- Solving airline crew scheduling problems by branch-and-cut. Management Sci. (1993) 39:657–683Link, Google Scholar
- Exact methods for time constrained routing and related scheduling problems. (1995) . Ph.D. thesis, Technical University of Denmark, Lyngby, DenmarkGoogle Scholar
- An optimization algorithm for the vehicle routing problem with time windows based on Lagrangian relaxation. Oper. Res. (1997) 45:395–406Link, Google Scholar
- Two-path cuts for the vehicle routing problem with time windows. Transportation Sci. (1999) 33:101–116Link, Google Scholar
- The vehicle routing problem with time windows. (1997) . Ph.D. thesis, Graduate Program in Operations Research, The University of Texas, Austin, TXGoogle Scholar
- A GRASP for the vehicle routing problem with time windows. ORSA J. Comput. (1995) 7:10–23Link, Google Scholar
- Comb inequalities for the vehicle routing problem. Methods Oper. Res. (1984) 51:271–276Google Scholar
- Computing edge-connectivity in multigraphs and capacitated graphs. SIAM J. Discrete Math. (1992) 5:54–66Crossref, Google Scholar
- Integer and Combinatorial Optim. (1988) (Wiley, New York) Google Scholar
- An efficient algorithm for the minimum capacity cut problem. Math. Programming (1990a) 47:19–36Crossref, Google Scholar
- Facet identification for the symmetric traveling salesman polytope. Math. Programming (1990b) 47:219–257Crossref, Google Scholar
- A branch-and-cut algorithm for the resolution of large scale symmetric traveling salesman problems. SIAM Rev. (1991) 33:60–100Crossref, Google Scholar
- A computational study of vehicle routing problem applications. (1999) . Ph.D. thesis, Computational and Applied Mathematics, Rice University, Houston, TXGoogle Scholar
- A branch-and-price algorithm for the pickup and delivery problem with time windows. (1994) . Memorandum COSOR 94-22, Department of Mathematics and Computing Science, Eindoven University of Technology, Eindoven, The NetherlandsGoogle Scholar
- Algorithms for the vehicle routing and scheduling problem with time window constraints. Oper. Res. (1987) 35:254–265Link, Google Scholar
- Time window constrained routing and scheduling problems. Transportation Sci. (1988) 22:1–13Link, Google Scholar

