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Traffic intersection control and zero-switch queues under conditions of Markov chain dependence input

Published online by Cambridge University Press:  14 July 2016

J. P. Lehoczky
J. P. Lehoczky*
Affiliation:
Carnegie-Mellon University
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Abstract

A model for a vehicle controlled intersection based on a zero-switch queueing system is introduced and analyzed under Markov chain dependence input. Conditions for asymptotic stability are derived. Under these conditions the moments of the cycle lengths are derived. The expected area beneath the sample paths given by the queue sizes is computed. This area represents total delay to all cars, and is a measure of the effectiveness of the control device.

Keywords

TRAFFIC CONTROLZERO-SWITCH QUEUESALTERNATING PRIORITY QUEUESSTABILITY OF QUEUESMARKOV CHAIN INPUT PROCESSFIRST ORDER DEPENDENT INPUTFIRST EMPTINESS TIME OF A DAMTOTAL DELAYAREA BENEATH SAMPLE PATH
Type
Research Papers
Information
Journal of Applied Probability , Volume 9 , Issue 2 , June 1972 , pp. 382 - 395
Copyright
Copyright © Applied Probability Trust 1972 

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