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The length of tours in zones of different shapes

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  • Daganzo, Carlos F.
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    Abstract

    The object of this paper is to explain how the expected length of traveling salesman tours changes with zone shape. To do this, a simple strategy that yields good traveling salesman tours is presented. The resulting tours are suboptimal but appear to be close to those that can be obtained by hand. Thus, the formulas that are provided may also be indicative of the length of tours built with better strategies. The results of this paper are useful for the design of distribution systems.

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    Bibliographic Info

    Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

    Volume (Year): 18 (1984)
    Issue (Month): 2 (April)
    Pages: 135-145

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    Handle: RePEc:eee:transb:v:18:y:1984:i:2:p:135-145

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    Cited by:
    1. Daganzo, Carlos F & Smilowitz, Karen R, 2000. "Asymptotic Approximations for the Transportation LP and Other Scalable Network Problems," University of California Transportation Center, Working Papers qt7wb1g4z7, University of California Transportation Center.
    2. 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.
    3. Wasner, Michael & Zapfel, Gunther, 2004. "An integrated multi-depot hub-location vehicle routing model for network planning of parcel service," International Journal of Production Economics, Elsevier, vol. 90(3), pages 403-419, August.
    4. Thomas, Douglas J. & Griffin, Paul M., 1996. "Coordinated supply chain management," European Journal of Operational Research, Elsevier, vol. 94(1), pages 1-15, October.
    5. Janic, Milan, 2008. "An assessment of the performance of the European long intermodal freight trains (LIFTS)," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(10), pages 1326-1339, December.
    6. 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.
    7. 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.
    8. Li, Xiaopeng & Ouyang, Yanfeng, 2010. "A continuum approximation approach to reliable facility location design under correlated probabilistic disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 535-548, May.
    9. Chen, Qi & Li, Xiaopeng & Ouyang, Yanfeng, 2011. "Joint inventory-location problem under the risk of probabilistic facility disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 991-1003, August.
    10. Zhao, Jiamin & Dessouky, Maged, 2008. "Service capacity design problems for mobility allowance shuttle transit systems," Transportation Research Part B: Methodological, Elsevier, vol. 42(2), pages 135-146, February.
    11. Qi, Mingyao & Lin, Wei-Hua & Li, Nan & Miao, Lixin, 2012. "A spatiotemporal partitioning approach for large-scale vehicle routing problems with time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 248-257.
    12. Bard, Jonathan F. & Jarrah, Ahmad I., 2009. "Large-scale constrained clustering for rationalizing pickup and delivery operations," Transportation Research Part B: Methodological, Elsevier, vol. 43(5), pages 542-561, June.
    13. 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.
    14. 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.
    15. Holguín-Veras, José, 2011. "Urban delivery industry response to cordon pricing, time-distance pricing, and carrier-receiver policies in competitive markets," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(8), pages 802-824, October.
    16. 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.
    17. Daganzo, Carlos F. & Smilowitz, Karen R., 2000. "Asymptotic Approximations for the Transportation LP and Other Scalable Network Problems," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3dn2j66w, Institute of Transportation Studies, UC Berkeley.
    18. Haughton, Michael A., 1998. "The performance of route modification and demand stabilization strategies in stochastic vehicle routing," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 551-566, November.
    19. Diana, Marco & Dessouky, Maged M. & Xia, Nan, 2006. "A model for the fleet sizing of demand responsive transportation services with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 651-666, September.

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