Interactive Reference Point-Based Guided Local Search for the Bi-objective Inventory Routing Problem

Sandra Huber (1) , Martin Joseph Geiger (2) , Marc Sevaux (3)

1 Helmut Schmidt University, University of the Armed Forces Hamburg
2 Department of Logistics Management
3 Lab-STICC_UBS_CACS_MOCS

Eliciting preferences of a decision maker is a key factor to successfully combine search and decision making in an interactive method. Therefore, the progressively integration and simulation of the decision maker is a main concern in an application. We contribute in this direction by proposing an interactive method based on a reference point-based guided local search to the bi-objective Inventory Routing Problem. A local search metaheuristic, working on the delivery intervals, and the Clarke & Wright savings heuristic is employed for the subsequently obtained Vehicle Routing Problem. To elicit preferences, the decision maker selects a reference point to guide the search in interesting subregions. Additionally, the reference point is used as a reservation point to discard solutions outside the cone, introduced as a convergence criterion. Computational results of the reference point-based guided local search are reported and analyzed on benchmark data in order to show the applicability of the approach.

Domaines: Recherche opérationnelle [math.OC]

Sandra Huber, Martin Joseph Geiger, Marc Sevaux. Interactive Reference Point-Based Guided Local Search for the Bi-objective Inventory Routing Problem. Proceedings of the 10th Metaheuristics International Conference, MIC 2013, Aug 2013, Singapore, Singapore. pp.152-161. ⟨hal-00996706⟩