Robust optimization for the vehicle routing problem with multiple deliverymen
Jonathan De La Vega (),
Pedro Munari () and
Reinaldo Morabito ()
Additional contact information
Jonathan De La Vega: Federal University of São Carlos
Pedro Munari: Federal University of São Carlos
Reinaldo Morabito: Federal University of São Carlos
Central European Journal of Operations Research, 2019, vol. 27, issue 4, 905-936
Abstract This paper addresses the vehicle routing problem with time windows and multiple deliverymen in which the customer demands are uncertain and belong to a predetermined polytope. In addition to the routing decisions, this problem attempts to define the number of deliverymen used to service to the customers on each route. A new mathematical formulation is presented for the deterministic counterpart based on auxiliary variables that define the assignment of customers to routes. Building on this formulation, we apply a static robust optimization approach to obtain a robust counterpart formulation that captures the random nature of customer demand. Due to the difficulty in solving this formulation, we propose a constructive heuristic to generate a robust solution, which is used as a starting point for solving the robust counterpart formulation. The heuristic is an extension of Solomon’s heuristic I1. Computational results using problem instances from the literature and risk analysis via Monte-Carlo simulation indicate the potential of static robust optimization to address the trade-off between cost and risk. The results also reveal that the proposed approach provides good results even without exact knowledge of some probabilistic measure of the customer demand.
Keywords: Vehicle routing problem with multiple deliverymen; Static robust linear optimization; Uncertain demand; Heuristics (search for similar items in EconPapers)
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
http://link.springer.com/10.1007/s10100-017-0511-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:spr:cejnor:v:27:y:2019:i:4:d:10.1007_s10100-017-0511-x
Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10100
Access Statistics for this article
Central European Journal of Operations Research is currently edited by Ulrike Leopold-Wildburger
More articles in Central European Journal of Operations Research from Springer, Slovak Society for Operations Research, Hungarian Operational Research Society, Czech Society for Operations Research, Österr. Gesellschaft für Operations Research (ÖGOR), Slovenian Society Informatika - Section for Operational Research, Croatian Operational Research Society
Bibliographic data for series maintained by Sonal Shukla ().