The Profitable Arc Tour Problem: Solution with a Branch-and-Price Algorithm
Published Online:1 Nov 2005https://doi.org/10.1287/trsc.1040.0106
References
- Network Flows: Theory, Algorithms, and Applications (1993) (Prentice Hall, Englewood Cliffs, NJ) Google Scholar
- The prize collecting traveling salesman problem. Networks (1989) 19(6):621–636Crossref, Google Scholar
- Using branch-and-price-and-cut to solve origin-destination integer multicommodity flow problems. Oper. Res. (2000) 48(2):318–326Link, Google Scholar
- Branch-and-price: Column generation for solving huge integer programs. Oper. Res. (1998) 46(3):316–329Link, Google Scholar
- Network flow problems with one side constraint: A comparison of three solution methods. Comput. Oper. Res. (1988) 15(4):381–394Crossref, Google Scholar
- Asymmetric traveling salesman problem with replenishment arcs. Eur. J. Oper. Res. (2000) 123(2):408–427Crossref, Google Scholar
- An optimal solution procedure for the multiple tour maximum collection problem using column generation. Comput. Oper. Res. (1999) 26(4):427–441Crossref, Google Scholar
- Algorithms and complexity analysis for some flow problems. Algorithmica (1994) 11:320–340Crossref, Google Scholar
- The one-period bus routing problem: Solved by an effective heuristic for the orienteering tour problem and improvement algorithm. Eur. J. Oper. Res. (2000) 127(1):69–77Crossref, Google Scholar
- , Laporte C. T., Laporte G. A unified framework for deterministic time constrained vehicle routing and crew scheduling problems. Fleet Management and Logistics (1998a) (Kluwer Academic Publishers, Norwell, MA) 57–93Crossref, Google Scholar
- Multi-depot vehicle scheduling problems with time windows and waiting costs. Eur. J. Oper. Res. (1998b) 111(3):479–494Crossref, Google Scholar
- A new optimization algorithm for the vehicle routing problem with time windows. Oper. Res. (1992) 40(2):342–354Link, Google Scholar
- , Ball M., Magnanti T., Monma C., Nemhauser G. Time constrained routing and scheduling. Handbooks in OR and MS (1995) 8(Elsevier Science Publishers B.V., Amsterdam, North-Holland) Google Scholar
- Arc routing problems. Part II: The rural postman problem. Oper. Res. (1995) 43(3):399–414Link, Google Scholar
- EURODECISIONLPToolKit, User’s Guide and Technical Reference (1998) 3rd ed.(Eurodécision, Versailles, France) Google Scholar
- Problèmes de tournées avec gains: Ètude et application au transport inter-usines. (2001) . Doctoral dissertation, Laboratoire Productique Logistique, École Centrale ParisGoogle Scholar
- Planification tactique de transport de marchandises interusine. J. Européen des Systèmes Automatisés (2002) 36(1):149–168Google Scholar
- Traveling salesman problems with profits. Transportation Sci. (2004a) 39(4):540–553Google Scholar
- An exact algorithm for the elementary shortest path problem with resource constraints: Application to some vehicle routing problems. Networks (2004b) 44(3):216–229Crossref, Google Scholar
- , Golden B., Assad A. An additive approach for the optimal solution of the prize-collecting travelling salesman problem. Vehicle Routing: Methods and Studies (1988) (Elsevier Science Publishers B.V., Amsterdam, North-Holland) 319–343Google Scholar
- Maximum flow through a network. Canadian J. Math. (1956) 8:399–404Crossref, Google Scholar
- Solving the two-connected network with bounded meshes problem. Oper. Res. (2000) 48(6):866–877Link, Google Scholar
- Computers and Intractability: A Guide to the Theory of NP-Completeness (1979) 50(Freeman, San Francisco, CA) Google Scholar
- Méthodes de résolution exacte pour les problèmes de tournées de véhicules. (1999) . Doctoral dissertation, Laboratoire Productique Logistique, École Centrale ParisGoogle Scholar
- The bounded cycle cover problem. INFORMS J. Comput. (2001) 13(2):104–119Link, Google Scholar
- ILOGILOG, Using the CPLEX Callable Library (1998) 6th ed.(ILOG Inc., CPLEX Division, Incline Village) Google Scholar
- Optimization-based algorithms for finding minimal cost ring covers in survivable networks. Comput. Optim. Appl. (1999) 14:219–230Crossref, Google Scholar
- Covering a graph with cycles. Comput. Oper. Res. (1998) 25(6):499–504Crossref, Google Scholar
- Modeling and solving several classes of arc routing problems as traveling salesman problems. Comput. Oper. Res. (1997) 24(11):1057–1061Crossref, Google Scholar
- A hybrid algorithm for solving network flow problems with side constraints. Comput. Oper. Res. (1998) 25(9):745–756Crossref, Google Scholar
- The cardinality constrained covering traveling salesman problem. Comput. Oper. Res. (2003) 30:97–116Crossref, Google Scholar
- Drive: Dynamic routing of independent vehicles. Oper. Res. (1998) 46(4):474–490Link, Google Scholar
- On the complexity of finding a minimum cycle cover of a graph. SIAM J. Comput. (1997) 26(3):675–677Crossref, Google Scholar
- On Dantzig-Wolfe decomposition in integer programming and ways to perform branching in a branch-and-price algorithm. Oper. Res. (2000) 48(1):111–128Link, Google Scholar
- Approximating reduced costs under degeneracy in a network flow problem with side constraints. Networks (1996) 27(4):267–278Crossref, Google Scholar

