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Discretization and Validation of the Continuum Approximation Scheme for Terminal System Design

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  • Ouyang, Yanfeng
  • Daganzo, Carlos F.

Abstract

This paper proposes an algorithm that automatically translates the "continuum approximation" (CA) recipes for location problems into discrete designs. It is applied to terminal systems but can also be used for other logistics problems. The study also systematically compares the logistics costs predicted by the CA approach with the actual costs for discrete designs obtained with the automated procedure. Results show that the algorithm systematically finds a practical set of discrete terminal locations with a cost very close to that predicted. The paper also gives conditions under which the CA cost formulae are a tight lower bound for the exact minimal costs.

Suggested Citation

  • Ouyang, Yanfeng & Daganzo, Carlos F., 2003. "Discretization and Validation of the Continuum Approximation Scheme for Terminal System Design," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt9dm7v0cn, Institute of Transportation Studies, UC Berkeley.
    • Handle: RePEc:cdl:itsrrp:qt9dm7v0cn
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    References listed on IDEAS

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    1. G. F. Newell, 1971. "Dispatching Policies for a Transportation Route," Transportation Science, INFORMS, vol. 5(1), pages 91-105, February.
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    Cited by:

    1. Martin Gugat & Barbara Pfeiffer, 2007. "Weber problems with mixed distances and regional demand," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(3), pages 419-449, December.

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