FUZZY TRAIN ENERGY CONSUMPTION MINIMIZATION MODEL AND ALGORITHM

Document Type : Research Paper

Authors

1 State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiao- tong University, Beijing 100044, China

2 Department of Mathematical Sciences, University of Cincinnati, Cincin- nati, Ohio 45221, USA

Abstract

Train energy saving problem investigates how to control train's
velocity such that the quantity of energy consumption is minimized and some
system constraints are satis ed. On the assumption that the train's weights
on different links are estimated by fuzzy variables when making the train
scheduling strategy, we study the fuzzy train energy saving problem. First, we
propose a fuzzy energy consumption minimization model, which minimizes the
average value and entropy of the fuzzy energy consumption under the maximal
allowable velocity constraint and traversing time constraint. Furthermore, we
analyze the properties of the optimal solution, and then design an iterative
algorithm based on the Karush-Kuhn-Tucker conditions. Finally, we illustrate
a numerical example to show the effectiveness of the proposed model and
algorithm.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 8, Issue 4 - Serial Number 4
September and October 2011
Pages 77-91

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