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Behavior of queues at signalized intersections in heavy trafficThis paper derives the asymptotic behavior of traffic queues at signalized intersections when the excess of departure capacity over arrivals approaches zero from above. The most interesting result is that the distribution of queue length approaches a negative exponential, with fewer restrictive assumptions than hitherto known. The main improvement results from more precise use of a combinatorial lemma of Spitzer, giving the maximum of the partial sums of a sequence of independent identically distributed random variables, plus some specific constructive probability calculations, many of them involving the Fourier transform. New results are presented on the probability that the queue be below a fixed bound and/or on the probability that the queue be empty. Applications to on-line estimators for real-time traffic control are suggested.
Document ID
19770068324
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Posner, E. C.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Rodemich, E. R.
(California Institute of Technology, Jet Propulsion Laboratory, Pasadena Calif., United States)
Date Acquired
August 9, 2013
Publication Date
January 1, 1976
Publication Information
Publication: Utilitas Mathematica
Volume: 10
Subject Category
Systems Analysis
Accession Number
77A51176
Distribution Limits
Public
Copyright
Other

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