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Traffic light queues with dependent arrivals as a generalization to queueing theory

Published online by Cambridge University Press:  14 July 2016

Katsuhisa Ohno  and
Hisashi Mine
Hisashi Mine*
Affiliation:
Kyoto University, Japan
*
*The research of this author was supported by the Sakkokai Foundation, Tokyo.
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Abstract

This paper considers a fixed-cycle and a semi vehicular-actuated traffic light queue with strictly stationary arrivals and independent and identically distributed departure headways and lost times. These queues are reduced to a generalized model of Loynes and sufficient conditions are derived under which these queues have stationary distributions. Two typical examples of semi vehicular-actuated traffic light queues are discussed.

Keywords

FIXED-CYCLE TRAFFIC LIGHT QUEUESEMI VEHICULAR-ACTUATED TRAFFIC LIGHT QUEUESUFFICIENT CONDITION FOR STATIONARY DISTRIBUTION TO EXISTGENERALIZATION OF LOYNES' MODELSTRICTLY STATIONARY ARRIVALSINDEPENDENT DEPARTURE HEADWAYSINDEPENDENT LOST TIMESPEDESTRIAN CROSSING
Type
Research Papers
Information
Journal of Applied Probability , Volume 9 , Issue 3 , June 1972 , pp. 630 - 641
Copyright
Copyright © Applied Probability Trust 1972 

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