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Mathematics > Optimization and Control

arXiv:1812.03013 (math)
[Submitted on 7 Dec 2018]

Title:Large-scale rail freight flow assignment with the tree-shaped path

Authors:Bo-Liang Lin
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Abstract:The rail freight flow assignment (RFFA) is a key point of network design and operations management. Unlike a road network, the freight flow assignment pattern in a rail system has unique characteristics, and the most significant one is the tree-shaped path. More specifically, when two or more shipments arrive at a rail yard, those intended for the same destination will be treated as a single freight flow and be shipped through the same path during the remainder of the trip, regardless of their origins. This paper reveals the forming mechanism of the tree-shaped path from the perspective of rail yard operations, and develops a nonlinear programming model for the RFFA problem. Considering the notably large number of quadratic terms generated from the tree-shaped constraints, the model is difficult to solve even for small-size instances. We thus introduce binary decision variables and modify the model into a nonlinear binary programming problem. In order to solve large-scale RFFA problems, we outline a simulated annealing algorithm.
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:1812.03013 [math.OC]
  (or arXiv:1812.03013v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1812.03013

Submission history

From: Boliang Lin [view email]
[v1] Fri, 7 Dec 2018 13:05:23 UTC (484 KB)
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