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A new regret insertion heuristic for solving large-scale dial-a-ride problems with time windows

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  • Diana, Marco
  • Dessouky, Maged M.

Abstract

In this paper we present a parallel regret insertion heuristic to solve a dial-a-ride problem with time windows. A new route initialization procedure is implemented, that keeps into account both the spatial and the temporal aspects of the problem, and a regret insertion is then performed to serve the remaining requests. The considered operating scenario is representative of a large-scale dial-a-ride program in Los Angeles County. The proposed algorithm was tested on data sets of 500 and 1000 requests built from data of paratransit service in this area. The computational results show the effectiveness of this approach in terms of trading-off solution quality and computational times. The latter measure being especially important in large-scale systems where numerous daily requests need to be processed.

Suggested Citation

  • Diana, Marco & Dessouky, Maged M., 2004. "A new regret insertion heuristic for solving large-scale dial-a-ride problems with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 539-557, July.
  • Handle: RePEc:eee:transb:v:38:y:2004:i:6:p:539-557
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    1. Harilaos N. Psaraftis, 1980. "A Dynamic Programming Solution to the Single Vehicle Many-to-Many Immediate Request Dial-a-Ride Problem," Transportation Science, INFORMS, vol. 14(2), pages 130-154, May.
    2. Dumas, Yvan & Desrosiers, Jacques & Soumis, Francois, 1991. "The pickup and delivery problem with time windows," European Journal of Operational Research, Elsevier, vol. 54(1), pages 7-22, September.
    3. Fu, Liping, 2002. "A simulation model for evaluating advanced dial-a-ride paratransit systems," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(4), pages 291-307, May.
    4. Psaraftis, Harilaos N., 1983. "Analysis of an O(N2) heuristic for the single vehicle many-to-many Euclidean dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 17(2), pages 133-145, April.
    5. Thomas R. Sexton & Lawrence D. Bodin, 1985. "Optimizing Single Vehicle Many-to-Many Operations with Desired Delivery Times: I. Scheduling," Transportation Science, INFORMS, vol. 19(4), pages 378-410, November.
    6. Potvin, Jean-Yves & Rousseau, Jean-Marc, 1993. "A parallel route building algorithm for the vehicle routing and scheduling problem with time windows," European Journal of Operational Research, Elsevier, vol. 66(3), pages 331-340, May.
    7. Liu, Fuh-Hwa Franklin & Shen, Sheng-Yuan, 1999. "A route-neighborhood-based metaheuristic for vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 118(3), pages 485-504, November.
    8. Healy, Patrick & Moll, Robert, 1995. "A new extension of local search applied to the Dial-A-Ride Problem," European Journal of Operational Research, Elsevier, vol. 83(1), pages 83-104, May.
    9. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    10. George Kontoravdis & Jonathan F. Bard, 1995. "A GRASP for the Vehicle Routing Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 7(1), pages 10-23, February.
    11. Irina Ioachim & Jacques Desrosiers & Yvan Dumas & Marius M. Solomon & Daniel Villeneuve, 1995. "A Request Clustering Algorithm for Door-to-Door Handicapped Transportation," Transportation Science, INFORMS, vol. 29(1), pages 63-78, February.
    12. A. W. J. Kolen & A. H. G. Rinnooy Kan & H. W. J. M. Trienekens, 1987. "Vehicle Routing with Time Windows," Operations Research, INFORMS, vol. 35(2), pages 266-273, April.
    13. Nanry, William P. & Wesley Barnes, J., 2000. "Solving the pickup and delivery problem with time windows using reactive tabu search," Transportation Research Part B: Methodological, Elsevier, vol. 34(2), pages 107-121, February.
    14. L. J. J. van der Bruggen & J. K. Lenstra & P. C. Schuur, 1993. "Variable-Depth Search for the Single-Vehicle Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 27(3), pages 298-311, August.
    15. Psaraftis, Harilaos N., 1983. "k-Interchange procedures for local search in a precedence-constrained routing problem," European Journal of Operational Research, Elsevier, vol. 13(4), pages 391-402, August.
    16. David M. Stein, 1978. "An Asymptotic, Probabilistic Analysis of a Routing Problem," Mathematics of Operations Research, INFORMS, vol. 3(2), pages 89-101, May.
    17. Martin Savelsbergh & Marc Sol, 1998. "Drive: Dynamic Routing of Independent Vehicles," Operations Research, INFORMS, vol. 46(4), pages 474-490, August.
    18. Harilaos N. Psaraftis, 1983. "An Exact Algorithm for the Single Vehicle Many-to-Many Dial-A-Ride Problem with Time Windows," Transportation Science, INFORMS, vol. 17(3), pages 351-357, August.
    19. Thomas R. Sexton & Lawrence D. Bodin, 1985. "Optimizing Single Vehicle Many-to-Many Operations with Desired Delivery Times: II. Routing," Transportation Science, INFORMS, vol. 19(4), pages 411-435, November.
    20. Paolo Toth & Daniele Vigo, 1997. "Heuristic Algorithms for the Handicapped Persons Transportation Problem," Transportation Science, INFORMS, vol. 31(1), pages 60-71, February.
    21. Robert A. Russell, 1995. "Hybrid Heuristics for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 29(2), pages 156-166, May.
    22. Horn, M. E. T., 2002. "Multi-modal and demand-responsive passenger transport systems: a modelling framework with embedded control systems," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(2), pages 167-188, February.
    23. M. W. P. Savelsbergh & M. Sol, 1995. "The General Pickup and Delivery Problem," Transportation Science, INFORMS, vol. 29(1), pages 17-29, February.
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