In this article we present benchmark datasets for the Mixed Capacitated Arc Routing Problem under Time restrictions with Intermediate Facilities (MCARPTIF). The problem is a generalisation of the Capacitated Arc Routing Problem (CARP), and closely represents waste collection routing. Four different test sets are presented, each consisting of multiple instance files, and which can be used to ben...

Interval routing is a space efficient method to realize a distributed routing function. In this paper we show that every circular-arc graph allows a shortest path strict 2-interval routing scheme, i.e., by introducing a global order on the vertices and assigning at most two (strict) intervals in this order to the ends of every edge allows to depict a routing function that implies exclusively sh...

This paper proposes a new transformation of arc routing problems into equivalents node routing problems, with emphasis on the transformation of Capacitated Arc Routing Problems (CARP) into Capacitated Vehicle Routing Problems (CVRP). For this last case, an analogue transformation has already been proposed in Pearn et al. [21], where each required CARP arc was mapped onto a triplet of CVRP nodes...

Available online 19 November 2008

Available online 30 June 2009

In this talk we present a unified Variable Neighborhood Search (VNS) algorithm for the Capacitated Arc Routing Problem (CARP) and some of its variants the Capacitated Arc Routing Problem with Intermediate Facilities (CARPIF) and the Capacitated Arc Routing Problem with Intermediate Facilities and Length restrictions (CLARPIF). Routing problems represent one of the most prominent classes of mode...

It is well known that many arc routing problems can be transformed into the Equality Generalized Traveling Salesman Problem (E-GTSP), which in turn can be transformed into a standard Asymmetric Traveling Salesman Problem (TSP). This opens up the possibility of solving arc routing problems using existing solvers for TSP. This paper evaluates the performance of the state-of-the art TSP solver Lin...

This paper proposes a variable neighborhood descent for solving a capacitated arc routing problem with time-dependent service costs. The problem is motivated by winter gritting applications where the timing of each intervention is crucial. The variable neighborhood descent is based on neighborhood structures that manipulate arcs or sequences of arcs. Computational results are reported on proble...

The Capacitated Arc Routing Problem (CARP) involves vehicles routing, serving a set of arcs in a network. This NP hard problem is extended to take into account time windows, entailing a new and hard theoretical model in arc routing called the CARPTW (CARP with time windows). The CARPTW is useful for modeling urban waste collection or winter gritting. This paper presents this new model and a mem...