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Simple Temporal Problems in Route Scheduling for the Dial–a–Ride Problem with Transfers

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Book cover Integration of AI and OR Techniques in Contraint Programming for Combinatorial Optimzation Problems (CPAIOR 2012)

Abstract

The Dial–A–Ride Problem (DARP) consists in defining a set of routes that satisfy transportation requests between a set of pickup points and a set of delivery points. This paper addresses a variant of the DARP where requests can change of vehicle during their trip. This transshipment is made on specific locations called “transfer points”. The corresponding problem is called the Dial–A–Ride Problem with Transfers (DARPT). Solving the DARPT yields modeling and algorithmic difficulties. In this paper, we focus on efficiently checking the feasibility of routes with regards to the problem temporal constraints in a Large Neighborhood Search. This feasibility problem is a Simple Temporal Problem, well studied in particular in Artificial Intelligence [8]. We propose necessary and sufficient conditions to fasten the detection of unfeasible or feasible routes.

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References

  1. Berbeglia, G., Cordeau, J.-F., Laporte, G.: Dynamic pickup and delivery problems. European Journal of Operational Research 202(1), 8–15 (2010)

    Article  MATH  Google Scholar 

  2. Berbeglia, G., Pesant, G., Rousseau, L.-M.: Checking the Feasibility of Dial-a-Ride Instances Using Constraint Programming. Transportation Science 45(3), 399–412 (2011)

    Article  Google Scholar 

  3. Cesta, A., Oddi, A., Smith, S.F.: Iterative Flattening: A Scalable Method for Solving Multi-Capacity Scheduling Problems. In: 17th National Conference on Artificial Intelligence, AAAI/IAAI, pp. 742–747 (2000)

    Google Scholar 

  4. Cherkassky, B.V., Georgiadis, L., Goldberg, A.V., Tarjan, R.E., Werneck, R.F.F.: Shortest Path Feasibility Algorithms: An Experimental Evaluation. In: ALENEX, pp. 118–132 (2008)

    Google Scholar 

  5. Cordeau, J.-F., Laporte, G.: A tabu search heuristic for the static multi-vehicle dial-a-ride problem. Transportation Research Part B: Methodological 37(6), 579–594 (2003)

    Article  Google Scholar 

  6. Cordeau, J.-F., Laporte, G.: The dial-a-ride problem: models and algorithms. Annals of Operations Research 153, 29–46 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  7. Cortés, C.E., Matamala, M., Contardo, C.: The pickup and delivery problem with transfers: Formulation and a Branch-and-Cut Solution Method. European Journal of Operational Research 200(3), 711–724 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  8. Dechter, R., Meiri, I., Pearl, J.: Temporal Constraint Networks. Artificial Intelligence 49(1-3), 61–95 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  9. Drexl, M.: Synchronization in Vehicle Routing—A Survey of VRPs with Multiple Synchronization Constraints. Tech. Rep. LM-2011-02, Gutenberg School of Management and Economics, Johannes Gutenberg University Mainz (2011)

    Google Scholar 

  10. Jain, S., Van Hentenryck, P.: Large Neighborhood Search for Dial-a-Ride Problems. In: Lee, J. (ed.) CP 2011. LNCS, vol. 6876, pp. 400–413. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  11. Masson, R., Lehuédé, F., Péton, O.: An Adaptive Large Neighborhood Search for the Pickup and Delivery Problem with Transfers. Submitted to Transportation Science (2011)

    Google Scholar 

  12. Masson, R., Lehuédé, F., Péton, O.: A tabu search algorithm for the Dial-a-Ride Problem with Transfers. In: Proceedings of the International Conference on Industrial Engineering and Systems Management, pp. 1224–1232 (2011)

    Google Scholar 

  13. Mitrović-Minić, S., Laporte, G.: The pickup and delivery problem with time windows and transshipment. INFOR 44(3), 217–228 (2006)

    MathSciNet  Google Scholar 

  14. Neumann, K., Schwindt, C., Zimmermann, J.: Resource-Constrained Project Scheduling with Time Windows. In: Józefowska, J., Weglarz, J. (eds.) Perspectives in Modern Project Scheduling. International Series in Operations Research & Management Science, pp. 375–407 (2006)

    Google Scholar 

  15. Paquette, J., Cordeau, J.-F., Laporte, G.: Quality of service in dial-a-ride operations. Computers & Industrial Engineering 56, 1721–1734 (2008)

    Article  Google Scholar 

  16. Parragh, S.N., Doerner, K.F., Hartl, R.F.: Variable neighborhood search for the dial-a-ride problem. Computers & Operations Research 37, 1129–1138 (2010)

    Article  MATH  Google Scholar 

  17. Pisinger, D., Ropke, S.: A general heuristic for vehicle routing problems. Computers & Operations Research 34(8), 2403–2435 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  18. Ropke, S., Pisinger, D.: An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows. Transportation Science 40(4), 455–472 (2006)

    Article  Google Scholar 

  19. Savelsbergh, M.W.P.: The Vehicle Routing Problem with Time Windows: Minimizing Route Duration. ORSA Journal on Computing 2(4), 146–154 (1992)

    Article  MathSciNet  Google Scholar 

  20. Shaw, P.: Using Constraint Programming and Local Search Methods to Solve Vehicle Routing Problems. In: Maher, M.J., Puget, J.-F. (eds.) CP 1998. LNCS, vol. 1520, pp. 417–431. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  21. Shostak, R.: Deciding Linear Inequalities by Computing Loop Residues. Journal of the Association for Computing Machinery 28(4), 769–779 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  22. Tarjan, R.E.: Shortest-Paths. Tech. rep., AT&T Bell Laboratories, Murray Hill, NJ (1981)

    Google Scholar 

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Masson, R., Lehuédé, F., Péton, O. (2012). Simple Temporal Problems in Route Scheduling for the Dial–a–Ride Problem with Transfers. In: Beldiceanu, N., Jussien, N., Pinson, É. (eds) Integration of AI and OR Techniques in Contraint Programming for Combinatorial Optimzation Problems. CPAIOR 2012. Lecture Notes in Computer Science, vol 7298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29828-8_18

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  • DOI: https://doi.org/10.1007/978-3-642-29828-8_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29827-1

  • Online ISBN: 978-3-642-29828-8

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