Algorithms For Open Capacitated Arc Routing Problem

The Capacitated Arc Routing Problem(CARP) comes from urbantransportation system. Lots of studies have been attracted due to its widely usein urban street swapping, waste collection, inspection of power lines, packagedeliveries and so on. A new kind of CARP, open CARP(OCARP) is studied inthis paper. This problem is related to the CARP but differs from it since toursare not constraint to form cycles in OCARP. Based on the development ofexternal third-party logistics, this problem is proposed. Along with theprosperity of e-commerce, competition between related companies becomesmore and more fierce. Lifting efficiency of logistics system, satisfying thedemands in large and super urban city and lowering the logistics cost play animportant role in the survival of the logistics companies.In this paper, a detailed model is proposed, the existing algorithms andthere effects are studied, and two kinds of algorithms are adopted for OCARP,called Tabu Search(TS) and Improved Variable Neighborhood Search(IVNS).Based on the local search algorithm, TS algorithm has a goodperformance in both width and breadth by accepting inferior solutions toexpend searching area, and by using a Tabu list to avoid cycling. The basicidea of IVNS algorithm is a systematic change of neighborhood within a localsearch, reducing the risk of been trapped in local optima, which leading to afinal convergence.Experimental results on81standard benchmark files show ahigh-efficiency of the proposed algorithms. Particularly, for all81instances23optimal solutions are obtained and51upper bounds are optimized under TSalgorithm,28and55respectively for IVNS algorithm.