Multi-vehicle prize collecting arc routing for connectivity problem

Akbari, Vahid; Salman, F. Silbel

Abstract

© 2017 Elsevier Ltd For effective disaster response, roads should be cleared or repaired to provide accessibility and relief services to the affected people in shortest time. We study an arc routing problem that aims to regain the connectivity of the road network components by clearing a subset of the blocked roads. In this problem, we maximize the total prize gained by reconnecting disconnected network components within a specified time limit. The solution should determine the coordinated routes of each work troop starting at a depot node such that none of the closed roads can be traversed unless their unblocking/clearing procedure is finished. We develop an exact Mixed Integer Program (MIP) and a matheuristic method. The matheuristic solves single vehicle problems sequentially with updated prizes. To obtain an upper bound, we first relax the timing elements in the exact formulation and then solve its relaxed MIP, which decomposes into single vehicle problems, by Lagrangian Relaxation. We show the effectiveness of the proposed methods computationally on both random Euclidean and Istanbul road network data generated with respect to predicted earthquake scenarios.

Citation

Akbari, V., & Salman, F. S. (2017). Multi-vehicle prize collecting arc routing for connectivity problem. Computers and Operations Research, 82, 52-68. https://doi.org/10.1016/j.cor.2017.01.007

• Journal Article Type: Article
• Acceptance Date: Jan 17, 2017
• Online Publication Date: Jan 18, 2017
• Publication Date: 2017-06
• Deposit Date: Oct 1, 2018
• Publicly Available Date: Oct 2, 2018
• Journal: Computers & Operations Research
• Print ISSN: 0305-0548
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 82
• Pages: 52-68
• DOI: https://doi.org/10.1016/j.cor.2017.01.007
• Keywords: arc routing, prize collecting, network connectivity, road clearance, disaster response, mixed integer programming, matheuristic
• Public URL: https://nottingham-repository.worktribe.com/output/1141316
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0305054817300072