Commuters' Paths with Penalties for Early or Late Arrival Time
André de Palma (),
Pierre Hansen and
Martine Labbé
Additional contact information
Pierre Hansen: RUTCOR Rutgers University, New Brunswick, New Jersey
Martine Labbé: Erasmus University Rotterdam, 3000 DR Rotterdam, the Netherlands
Transportation Science, 1990, vol. 24, issue 4, 276-286
Abstract:
We formulate the choice of a best path for a commuter leaving his/her home at a given time and willing to arrive at his/her destination within a given time interval. The objective function integrates constant costs for use of arcs, travel times and schedule delay. The travel times along arcs, which depend on exogenous congestion, are represented by functions of the arrival time at the origin node of the arc. The schedule delay is taken into consideration by penalizing arrival time at the destination outside the desired time interval. The problem is shown to be NP-hard, polynomial subcases are determined and a pseudo-polynomial algorithm is provided for the general case.
Date: 1990
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http://dx.doi.org/10.1287/trsc.24.4.276 (application/pdf)
Related works:
Working Paper: Computers’ paths with penalties for early or late arrival time (1987)
Working Paper: Commuters' Paths With Penalties for Early or Late Arrival Time (1987) 
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:24:y:1990:i:4:p:276-286
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