A column generation algorithm for the vehicle routing problem with soft time windows

Liberatore, Federico and Righini, Giovanni and Salani, Matteo (2011) A column generation algorithm for the vehicle routing problem with soft time windows. 4OR, 9 (1). pp. 49-82. ISSN 1614-2411

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Abstract

The Vehicle Routing Problem with Time Windows consists of computing a minimum cost set of routes for a fleet of vehicles of limited capacity visiting a given set of customers with known demand, with the additional constraint that each customer must be visited in a specified time window. We consider the case in which time window constraints are relaxed into “soft” constraints, that is penalty terms are added to the solution cost whenever a vehicle serves a customer outside of his time window. We present a branch-and-price algorithm which is the first exact optimization algorithm for this problem.

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