Next Article in Journal
Probabilistic Hesitant Intuitionistic Linguistic Term Sets in Multi-Attribute Group Decision Making
Next Article in Special Issue
Path Planning for the Mobile Robot: A Review
Previous Article in Journal
Social Risk Dissociates Social Network Structure across Lateralized Behaviors in Spider Monkeys
Article Menu
Issue 9 (September) cover image

Export Article

Open AccessArticle
Symmetry 2018, 10(9), 391; https://doi.org/10.3390/sym10090391

Modeling the Service Network Design Problem in Railway Express Shipment Delivery

School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
*
Author to whom correspondence should be addressed.
Received: 22 August 2018 / Revised: 30 August 2018 / Accepted: 2 September 2018 / Published: 10 September 2018
(This article belongs to the Special Issue Symmetry in Engineering Sciences)
Full-Text   |   PDF [1004 KB, uploaded 10 September 2018]   |  

Abstract

As air pollution becomes increasingly severe, express trains play a more important role in shifting road freight and reducing carbon emissions. Thus, the design of railway express shipment service networks has become a key issue, which needs to be addressed urgently both in theory and practice. The railway express shipment service network design problem (RESSNDP) not only involves the selection of train services and determination of service frequency, but it is also associated with shipment routing, which can be viewed as a service network design problem (SNDP) with railway characteristics. This paper proposes a non-linear integer programming model (INLP) which aims at finding a service network and shipment routing plan with minimum cost while satisfying the transportation time constraints of shipments, carrying capacity constraints of train services, flow conservation constraint and logical constraints among decision variables. In addition, a linearization technique was adopted to transform our model into a linear one to obtain a global optimal solution. To evaluate the effectiveness and efficiency of our approach, a small trial problem was solved by the state-of-the-art mathematical programming solver Gurobi 7.5.2. View Full-Text
Keywords: express shipment; service network design; linearization technique; railway network express shipment; service network design; linearization technique; railway network
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Liu, S.; Lin, B.; Wu, J.; Zhao, Y. Modeling the Service Network Design Problem in Railway Express Shipment Delivery. Symmetry 2018, 10, 391.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top