Single-path service network design problem with resource constraints

Xiangyong Li, Yi Ding, Kai Pan, Dapei Jiang and Y.P. Aneja

Transportation Research Part E: Logistics and Transportation Review, 2020, vol. 140, issue C

Abstract: We study a new service network design problem, where the number of available resources at each terminal is limited, and each commodity is delivered along a single path that prevents flow partition. Such a single-path constraint is motivated by currently emerging requirements in bulk transportation, express delivery, hazardous material transportation, etc. We model this problem with two mathematical formulations, i.e., node-arc and arc-cycle formulations, both of which lead to large-scale and computationally difficult mixed-integer programs. The node-arc formulation faces a significant computation burden. To that end, we develop a two-stage mathematical integer programming based heuristic for the arc-cycle formulation to produce high-quality solutions. In the first stage, a column generation procedure is executed to generate an optimal solution for the linear relaxation of the restricted master problem, and in the second stage, four heuristic strategies are designed to efficiently generate integer feasible solutions for the original problem. We conduct extensive experiments to verify the effectiveness of our proposed approach by comparing it with a commercial solver (CPLEX). We also examine the performance differences among four heuristic strategies, in terms of the frequency of finding integer feasible solutions and the quality of solutions.

Keywords: Transportation; Service network design; Single-path constraints; Resource constraints; Column generation heuristic (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S1366554520305962
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:transe:v:140:y:2020:i:c:s1366554520305962

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/bibliographic
http://www.elsevier. ... 600244/bibliographic

DOI: 10.1016/j.tre.2020.101945

Access Statistics for this article

Transportation Research Part E: Logistics and Transportation Review is currently edited by W. Talley

More articles in Transportation Research Part E: Logistics and Transportation Review from Elsevier
Bibliographic data for series maintained by Catherine Liu ().