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Continuous approximation models in freight distribution management

Author

Listed:
  • Anna Franceschetti

    (HEC Montréal)

  • Ola Jabali

    (Politecnico di Milano)

  • Gilbert Laporte

    (HEC Montréal)

Abstract

This paper presents an overview of the literature on continuous approximation models in the context of distribution management. It first describes the seminal contributions of Beardwood, Halton and Hammersley, and of Daganzo and Newell. This is followed by a summary of various extensions, and by applications to districting, location, fleet sizing and vehicle routing.

Suggested Citation

  • Anna Franceschetti & Ola Jabali & Gilbert Laporte, 2017. "Continuous approximation models in freight distribution management," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 413-433, October.
    • Handle: RePEc:spr:topjnl:v:25:y:2017:i:3:d:10.1007_s11750-017-0456-1
    DOI: 10.1007/s11750-017-0456-1
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    1. W. Hall, Randolph, 1991. "Characteristics of multi-shop/ multi-termal delivery routes, with backghauls and unique items," Transportation Research Part B: Methodological, Elsevier, vol. 25(6), pages 391-403, December.
    2. Hall, Randolph W., 1993. "Design for local area freight networks," Transportation Research Part B: Methodological, Elsevier, vol. 27(2), pages 79-95, April.
    3. Campbell, James F., 1993. "Continuous and discrete demand hub location problems," Transportation Research Part B: Methodological, Elsevier, vol. 27(6), pages 473-482, December.
    4. Yanfeng Ouyang & Carlos F. Daganzo, 2006. "Discretization and Validation of the Continuum Approximation Scheme for Terminal System Design," Transportation Science, INFORMS, vol. 40(1), pages 89-98, February.
    5. Campbell, James F., 1995. "Using small trucks to circumvent large truck restrictions: Impacts on truck emissions and performance measures," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(6), pages 445-458, November.
    6. John G. Klincewicz & Hanan Luss & Martha G. Pilcher, 1990. "Fleet Size Planning when Outside Carrier Services Are Available," Transportation Science, INFORMS, vol. 24(3), pages 169-182, August.
    7. Carlsson, John Gunnar & Behroozi, Mehdi, 2017. "Worst-case demand distributions in vehicle routing," European Journal of Operational Research, Elsevier, vol. 256(2), pages 462-472.
    8. Carlos F. Daganzo, 1987. "Modeling Distribution Problems with Time Windows. Part II: Two Customer Types," Transportation Science, INFORMS, vol. 21(3), pages 180-187, August.
    9. Novaes, Antonio G. N. & Graciolli, Odacir D., 1999. "Designing multi-vehicle delivery tours in a grid-cell format," European Journal of Operational Research, Elsevier, vol. 119(3), pages 613-634, December.
    10. Jabali, Ola & Gendreau, Michel & Laporte, Gilbert, 2012. "A continuous approximation model for the fleet composition problem," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1591-1606.
    11. Bernd Skiera & Sönke Albers, 1998. "COSTA: Contribution Optimizing Sales Territory Alignment," Marketing Science, INFORMS, vol. 17(3), pages 196-213.
    12. Jordan, William C. & Burns, Lawrence D., 1984. "Truck backhauling on two terminal networks," Transportation Research Part B: Methodological, Elsevier, vol. 18(6), pages 487-503, December.
    13. Campbell, James F., 1990. "Freight consolidation and routing with transportation economies of scale," Transportation Research Part B: Methodological, Elsevier, vol. 24(5), pages 345-361, October.
    14. Campbell, James F., 2013. "A continuous approximation model for time definite many-to-many transportation," Transportation Research Part B: Methodological, Elsevier, vol. 54(C), pages 100-112.
    15. Newell, G. F., 1986. "Design of multiple-vehicle delivery tours--III valuable goods," Transportation Research Part B: Methodological, Elsevier, vol. 20(5), pages 377-390, October.
    16. Jessen, Raymond James, 1943. "Statistical investigation of a sample survey for obtaining farm facts," ISU General Staff Papers 1943010107000013865, Iowa State University, Department of Economics.
    17. Daganzo, Carlos F., 1988. "A comparison of in-vehicle and out-of- vehicle freight consolidation strategies," Transportation Research Part B: Methodological, Elsevier, vol. 22(3), pages 173-180, June.
    18. Tingting Cui & Yanfeng Ouyang & Zuo-Jun Max Shen, 2010. "Reliable Facility Location Design Under the Risk of Disruptions," Operations Research, INFORMS, vol. 58(4-part-1), pages 998-1011, August.
    19. Carlos F. Daganzo & Karen R. Smilowitz, 2004. "Bounds and Approximations for the Transportation Problem of Linear Programming and Other Scalable Network Problems," Transportation Science, INFORMS, vol. 38(3), pages 343-356, August.
    20. Cui, Tingting & Ouyang, Yanfeng & Shen, Zuo-Jun Max J, 2010. "Reliable Facility Location Design under the Risk of Disruptions," University of California Transportation Center, Working Papers qt5sh2c7pw, University of California Transportation Center.
    21. Turkensteen, Marcel & Klose, Andreas, 2012. "Demand dispersion and logistics costs in one-to-many distribution systems," European Journal of Operational Research, Elsevier, vol. 223(2), pages 499-507.
    22. Francis, Peter & Smilowitz, Karen, 2006. "Modeling techniques for periodic vehicle routing problems," Transportation Research Part B: Methodological, Elsevier, vol. 40(10), pages 872-884, December.
    23. Carlos F. Daganzo, 1987. "Modeling Distribution Problems with Time Windows: Part I," Transportation Science, INFORMS, vol. 21(3), pages 171-179, August.
    24. Chou, Yon-Chun & Chen, Yao-Hung & Chen, Hui-Min, 2014. "Pickup and delivery routing with hub transshipment across flexible time periods for improving dual objectives on workload and waiting time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 98-114.
    25. Langevin, André & Soumis, François, 1989. "Design of multiple-vehicle delivery tours satisfying time constraints," Transportation Research Part B: Methodological, Elsevier, vol. 23(2), pages 123-138, April.
    26. David M. Stein, 1978. "An Asymptotic, Probabilistic Analysis of a Routing Problem," Mathematics of Operations Research, INFORMS, vol. 3(2), pages 89-101, May.
    27. Daganzo, Carlos F., 1984. "The length of tours in zones of different shapes," Transportation Research Part B: Methodological, Elsevier, vol. 18(2), pages 135-145, April.
    28. Emre Kirac & Ashlea Bennett Milburn & Clarence Wardell, 2015. "The Traveling Salesman Problem with Imperfect Information with Application in Disaster Relief Tour Planning," IISE Transactions, Taylor & Francis Journals, vol. 47(8), pages 783-799, August.
    29. Anuj Mehrotra & Ellis L. Johnson & George L. Nemhauser, 1998. "An Optimization Based Heuristic for Political Districting," Management Science, INFORMS, vol. 44(8), pages 1100-1114, August.
    30. G Pang & L Muyldermans, 2013. "Vehicle routing and the value of postponement," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(9), pages 1429-1440, September.
    31. Michael B. Teitz & Polly Bart, 1968. "Heuristic Methods for Estimating the Generalized Vertex Median of a Weighted Graph," Operations Research, INFORMS, vol. 16(5), pages 955-961, October.
    32. A Hindle & D Worthington, 2004. "Models to estimate average route lengths in different geographical environments," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(6), pages 662-666, June.
    33. Çavdar, Bahar & Sokol, Joel, 2015. "A distribution-free TSP tour length estimation model for random graphs," European Journal of Operational Research, Elsevier, vol. 243(2), pages 588-598.
    34. Bozkaya, Burcin & Erkut, Erhan & Laporte, Gilbert, 2003. "A tabu search heuristic and adaptive memory procedure for political districting," European Journal of Operational Research, Elsevier, vol. 144(1), pages 12-26, January.
    35. Carlos F. Daganzo, 2005. "Logistics Systems Analysis," Springer Books, Springer, edition 0, number 978-3-540-27516-9, December.
    36. Franceschetti, Anna & Honhon, Dorothée & Laporte, Gilbert & Woensel, Tom Van & Fransoo, Jan C., 2017. "Strategic fleet planning for city logistics," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 19-40.
    37. Lawrence D. Burns & Randolph W. Hall & Dennis E. Blumenfeld & Carlos F. Daganzo, 1985. "Distribution Strategies that Minimize Transportation and Inventory Costs," Operations Research, INFORMS, vol. 33(3), pages 469-490, June.
    38. Hall, Randolph W., 1986. "Discrete models/continuous models," Omega, Elsevier, vol. 14(3), pages 213-220.
    39. J. Michael Steele, 1981. "Complete Convergence of Short Paths and Karp's Algorithm for the TSP," Mathematics of Operations Research, INFORMS, vol. 6(3), pages 374-378, August.
    40. Richard M. Karp, 1977. "Probabilistic Analysis of Partitioning Algorithms for the Traveling-Salesman Problem in the Plane," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 209-224, August.
    41. Larsen, Christian & Turkensteen, Marcel, 2014. "A vendor managed inventory model using continuous approximations for route length estimates and Markov chain modeling for cost estimates," International Journal of Production Economics, Elsevier, vol. 157(C), pages 120-132.
    42. Rosenfield, Donald B. & Engelstein, Israel & Feigenbaum, David, 1992. "An application of sizing service territories," European Journal of Operational Research, Elsevier, vol. 63(2), pages 164-172, December.
    43. John Gunnar Carlsson & Erick Delage, 2013. "Robust Partitioning for Stochastic Multivehicle Routing," Operations Research, INFORMS, vol. 61(3), pages 727-744, June.
    44. Carlos F. Daganzo, 1987. "The Break-Bulk Role of Terminals in Many-to-Many Logistic Networks," Operations Research, INFORMS, vol. 35(4), pages 543-555, August.
    45. James F. Campbell, 1993. "One-to-Many Distribution with Transshipments: An Analytic Model," Transportation Science, INFORMS, vol. 27(4), pages 330-340, November.
    46. Daganzo, Carlos F. & Newell, Gordon F., 1985. "Physical distribution from a warehouse: Vehicle coverage and inventory levels," Transportation Research Part B: Methodological, Elsevier, vol. 19(5), pages 397-407, October.
    47. Huang, Michael & Smilowitz, Karen R. & Balcik, Burcu, 2013. "A continuous approximation approach for assessment routing in disaster relief," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 20-41.
    48. Sankaran, Jayaram K. & Wood, Lincoln, 2007. "The relative impact of consignee behaviour and road traffic congestion on distribution costs," Transportation Research Part B: Methodological, Elsevier, vol. 41(9), pages 1033-1049, November.
    49. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.
    50. Xie, Weijun & Ouyang, Yanfeng, 2015. "Optimal layout of transshipment facility locations on an infinite homogeneous plane," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 74-88.
    51. Hall, Randolph W., 1987. "Direct versus terminal freight routing on a network with concave costs," Transportation Research Part B: Methodological, Elsevier, vol. 21(4), pages 287-298, August.
    52. Ouyang, Yanfeng, 2007. "Design of vehicle routing zones for large-scale distribution systems," Transportation Research Part B: Methodological, Elsevier, vol. 41(10), pages 1079-1093, December.
    53. Figliozzi, Miguel Andres, 2007. "Analysis of the efficiency of urban commercial vehicle tours: Data collection, methodology, and policy implications," Transportation Research Part B: Methodological, Elsevier, vol. 41(9), pages 1014-1032, November.
    54. Carlos F. Daganzo, 1984. "The Distance Traveled to Visit N Points with a Maximum of C Stops per Vehicle: An Analytic Model and an Application," Transportation Science, INFORMS, vol. 18(4), pages 331-350, November.
    55. Dennis E. Blumenfeld & Lawrence D. Burns & Carlos F. Daganzo & Michael C. Frick & Randolph W. Hall, 1987. "Reducing Logistics Costs at General Motors," Interfaces, INFORMS, vol. 17(1), pages 26-47, February.
    56. Carlos F. Daganzo & Randolph W. Hall, 1993. "A Routing Model for Pickups and Deliveries: No Capacity Restrictions on the Secondary Items," Transportation Science, INFORMS, vol. 27(4), pages 315-329, November.
    57. Andreas Drexl & Knut Haase, 1999. "Fast Approximation Methods for Sales Force Deployment," Management Science, INFORMS, vol. 45(10), pages 1307-1323, October.
    58. Davis, Brian A. & Figliozzi, Miguel A., 2013. "A methodology to evaluate the competitiveness of electric delivery trucks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 8-23.
    59. Figliozzi, Miguel Andres, 2010. "The impacts of congestion on commercial vehicle tour characteristics and costs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(4), pages 496-506, July.
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