In this paper, we present a new Ant Colony System (ACS) approach for the Periodic Capacitated Arc Routing Problem (PCARP) on a mixed network. In the CARP problem the objective is to find routes starting from the depot such that each required arc/edge (called task) is serviced, capacity constraints are satisfied and total travel cost is minimized. The PCARP extends the classical CARP problem to ...

Available online 19 November 2008

In existing metaheuristics for solving the capacitated arc routing problem, traversal local search operators are often used to explore neighbors of the current solutions. This mechanism is beneficial for finding high-quality solutions; however, it entails a large number of function evaluations, causing high computational complexity. Hence, there is a need to further enhance the efficiency of su...

In this chapter, a new dynamic capacitated arc routing problem (CARP) is defined and investigated. Compared with the static CARP and other dynamic CARP investigated by the existing researches, the new dynamic CARP is more general and closer to reality, and thus is more worthwhile to be solved. Due to the stochastic factors included in the dynamic CARP, the objective is not to obtain the optimal...

Real world applications for vehicle collection or delivery along streets usually lead to arc routing problems, with additional and complicating constraints. In this paper we focus on arc routing with an additional constraint to identify vehicle service routes with a limited number of shared nodes, i.e. vehicle service routes with a limited number of intersections. This constraint leads to solut...

During the last decade, the stringent pressures from environmental and social requirements have spurred an interest in designing a reverse logistics (RL) network. The success of a logistics system may depend on the decisions of the facilities locations and vehicle routings. The location-routing problem (LRP) simultaneously locates the facilities and designs the travel routes for vehicles among ...

We consider a special routing problem which has a variety of practical applications. In a graph-theoretic context it is known as the Capacitated Chinese Postman Problem. Given an undirected network in which the demand is located on edges, the goal is to determine a least-cost schedule of routes. The route demands, which must not exceed the vehicle capacity, are serviced by a fleet of vehicles w...

This paper aims to compare a two-echelon and a single-echelon distribution system. A mathematical model for the Single-Echelon Capacitated Vehicle Routing Problem (SE-CVRP) is proposed. This SE-CVRP is the counterpart of Two-Echelon Capacitated Vehicle Routing Problem (2E-CVRP) introduced in the authors’ previous work. The proposed mathematical model is Mixed-Integer Non-Linear Programming (MIN...