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Discrete Dynamics in Nature and Society
Volume 2017, Article ID 4825802, 7 pages
https://doi.org/10.1155/2017/4825802
Research Article

A Queuing Network Based Optimization Model for Calculating Capacity of Subway Station

Shanghai University of Engineering Science, Shanghai 201620, China

Correspondence should be addressed to Hanchuan Pan; nc.ude.seus@nauhcnahnap

Received 4 June 2017; Accepted 16 August 2017; Published 3 October 2017

Academic Editor: Yong Zhou

Copyright © 2017 Hanchuan Pan and Zhigang Liu. 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.

Abstract

Capacity of subway station is an important factor to ensure the safety and improve the transportation efficiency. In this paper, based on the M/G/C/C state-dependent queuing model, a probabilistic selection optimization model is proposed to assess the capacity of the station. The goal of the model is to maximize the output rate of the station, and the decision variables of the model are the selection results of the passengers. Finally, this paper takes a subway station of Shanghai Metro as a case study and calculates the optimal selection probability. The proposed model could be used to analyze the average waiting time, congestion probability, and other evaluation indexes; at the same time, it verifies the validity and practicability of the model.