The Granular Tabu Search and Its Application to the Vehicle-Routing Problem

Abstract

We describe a new variant, called granular tabu search, of the well-known tabu-search approach. The method uses an effective intensification/diversification tool that can be successfully applied to a wide class of graph-theoretic and combinatorial-optimization problems. Granular tabu search is based on the use of drastically restricted neighborhoods, not containing the moves that involve only elements that are not likely to belong to good feasible solutions. These restricted neighborhoods are called granular, and may be seen as an efficient implementation of candidate-list strategies proposed for tabu-search algorithms. Results of computational testing of the proposed approach on the well-known symmetric capacitated and distance-constrained vehicle-routing problem are discussed, showing that the approach is able to determine very good solutions within short computing times.

Location-Routing Problem with Simultaneous Home Delivery and Customer’s Pickup for City Distribution of Online Shopping Purchases

“…Define the neighborhood of vertex u as the hn c closest vertices, where h ∈ [0, 1] is a granular threshold restricting the search to nearby vertices [48]. The following moves are concluded:…”

Enhanced mixed integer programming techniques and routing problems

“…In Class 1, the initial solution is obtained by means of the C code corresponding to the Granular Tabu Search algorithm proposed by Toth and Vigo [167]. In this way we get a self-contained algorithm which requires no initial solution to be given.…”

A new hybrid genetic algorithm for the capacitated vehicle routing problem

“…Comparative performance is reported for some of the best-known VRP methods, namely referred to as OS [26], GHL [31], CGL [32], TV [33], WH [34], RR [35], RT [36], TA [37] and BB for HGA-VRP. The results are expressed in terms of total traveled distance.…”