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JMT 2014, Vol. 22 Issue (1) :12-19    DOI: 10.1007/s40534-014-0038-y
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A modification of local path marginal cost on the dynamic traffic network
Zhengfeng Huang1, Gang Ren2,3, Lili Lu2,3, Yang Cheng4*
1. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China;
2. Jiangsu Key Laboratory of Urban ITS, Southeast University, Nanjing 210096, China;
3. Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing 210096, China;
4. Department of Civil and Environmental Engineering, University of Wisconsin, Madison, WI 53705, USA

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Abstract Path marginal cost (PMC) is the change in total travel cost for flow on the network that arises when timedependent path flow changes by 1 unit. Because it is hard to obtain the marginal cost on all the links, the local PMC, considering marginal cost of partial links, is normally calculated to approximate the global PMC. When analyzing the marginal cost at a congested diverge intersection, a jump-point phenomenon may occur. It manifests as a likelihood that a vehicle may unsteadily lift up (down) in the cumulative flow curve of the downstream links. Previously, the jump-point caused delay was ignored when calculating the local PMC. This article proposes an analytical method to solve this delay which can contribute to obtaining a more accurate local PMC. Next to that, we use a simple case to calculate the previously local PMC and the modified one. The test shows a large gap between them, which means that this delay should not be omitted in the local PMC calculation.
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KeywordsTransportation network   Path marginal cost   Cumulative flow curve   Dynamic traffic   System optimization     
Received 2013-10-21;
Corresponding Authors: Zhengfeng Huang     Email: huang321000@gmail.com
Cite this article:   
Zhengfeng Huang, Gang Ren, Lili Lu, Yang Cheng.A modification of local path marginal cost on the dynamic traffic network[J]  JMT, 2014,V22(1): 12-19
http://jmt.swjtu.edu.cn/EN/10.1007/s40534-014-0038-y      or     http://jmt.swjtu.edu.cn/EN/Y2014/V22/I1/12
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