A Note on the Ichoua, Gendreau, and Potvin (2003) Travel Time Model

Gianpaolo Ghiani () and Emanuela Guerriero ()
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Gianpaolo Ghiani: Department of Engineering, Università del Salento Via Monteroni, 73100 Lecce, Italy
Emanuela Guerriero: Department of Engineering, Università del Salento Via Monteroni, 73100 Lecce, Italy

Transportation Science, 2014, vol. 48, issue 3, 458-462

Abstract: In this paper we exploit some properties of the travel time model proposed by Ichoua, Gendreau, and Potvin [Ichoua S, Gendreau M, Potvin J-Y (2003) Vehicle dispatching with time-dependent travel times. Eur. J. Oper. Res. 144:379--396], on which most of the current time-dependent vehicle-routing literature relies. First, we prove that any continuous piecewise-linear travel time model, satisfying the FIFO property, can be generated by an appropriate model. We also show that the model parameters can be obtained by solving a system of linear equations for each arc. Then such parameters are proved to be nonnegative, which allows us to interpret them as (dummy) speeds. Finally, we illustrate the procedure through a numerical example. As a by-product, we are able to link the travel time models of a road graph and the associated complete graph over which vehicle-routing problems are usually formulated.

Keywords: time-varying travel times; vehicle routing (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:48:y:2014:i:3:p:458-462

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