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Design of multiple-vehicle delivery tours--III valuable goods

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  • Newell, G. F.

Abstract

For the delivery of valuable goods (such as people in a van pool), we assume that it costs cv per unit time during a round trip time of a vehicle and it costs cu/C per unit time for each of C items being delivered only during the travel time from the source to the point of delivery. The objective is to design delivery routes so as to minimize the (expected) total cost of delivery in some region containing N >> C delivery points. With nearly rectangular shaped delivery zones for each vehicle route it is shown that if cu/2 cv, however, one should deliver only on the outbound leg and deadhead back from the far end of the zone. In each case there is an optimal width and orientation of the rectangular zone relative to the local grid of roads and the travel-time contours from the source.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:20:y:1986:i:5:p:377-390
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    Cited by:

    1. 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.
    2. Sungwon Lee & Taesung Hwang, 2018. "Estimating Emissions from Regional Freight Delivery under Different Urban Development Scenarios," Sustainability, MDPI, vol. 10(4), pages 1-14, April.
    3. Carlos Daganzo & Karen Smilowitz, 2006. "A note on asymptotic formulae for one-dimensional network flow problems," Annals of Operations Research, Springer, vol. 144(1), pages 153-160, April.
    4. 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.
    5. 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.
    6. 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.
    7. Bergmann, Felix M. & Wagner, Stephan M. & Winkenbach, Matthias, 2020. "Integrating first-mile pickup and last-mile delivery on shared vehicle routes for efficient urban e-commerce distribution," Transportation Research Part B: Methodological, Elsevier, vol. 131(C), pages 26-62.
    8. 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.
    9. Koç, Çağrı & Bektaş, Tolga & Jabali, Ola & Laporte, Gilbert, 2016. "Thirty years of heterogeneous vehicle routing," European Journal of Operational Research, Elsevier, vol. 249(1), pages 1-21.
    10. John Gunnar Carlsson & Fan Jia, 2013. "Euclidean Hub-and-Spoke Networks," Operations Research, INFORMS, vol. 61(6), pages 1360-1382, December.
    11. Bertazzi, Luca & Speranza, Maria Grazia & Ukovich, Walter, 1997. "Minimization of logistic costs with given frequencies," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 327-340, August.
    12. Estrada, Miquel & Roca-Riu, Mireia, 2017. "Stakeholder’s profitability of carrier-led consolidation strategies in urban goods distribution," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 104(C), pages 165-188.
    13. 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.
    14. Banerjee, Dipayan & Erera, Alan L. & Stroh, Alexander M. & Toriello, Alejandro, 2023. "Who has access to e-commerce and when? Time-varying service regions in same-day delivery," Transportation Research Part B: Methodological, Elsevier, vol. 170(C), pages 148-168.
    15. Merchán, Daniel & Winkenbach, Matthias & Snoeck, André, 2020. "Quantifying the impact of urban road networks on the efficiency of local trips," Transportation Research Part A: Policy and Practice, Elsevier, vol. 135(C), pages 38-62.
    16. Lei, Chao & Zhang, Qian & Ouyang, Yanfeng, 2017. "Planning of parking enforcement patrol considering drivers’ parking payment behavior," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 375-392.
    17. Lei, Chao & Ouyang, Yanfeng, 2018. "Continuous approximation for demand balancing in solving large-scale one-commodity pickup and delivery problems," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 90-109.
    18. 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.
    19. 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.

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