Abstract
This dissertation involves the mathematical modeling of the operation of a freeway entrance ramp merging control system. A renewal process was utilized to develop expressions for the statistical moments of the time a vehicle waits at the entrance ramp signal for gap acceptance control. The moments so developed were compared to moments previously developed by combinatorial analysis. A Poisson input-arbitrary service queuing approach produced expressions for the expected queue at the signal, the expected wait in the queue and the expected time a vehicle would spend in the control system before being released at the signal. The basic queueing model was applied to fixed rate metering entrance ramp control with a constant service rate introduced into the model. The capacity-demand system of ramp control was modeled in terms of a generalized Poisson process for freeway outside lane vehicular arrivals. Probabilities of failure to meet freeway control system criteria were developed from the mathematical expressions. ...
Brewer, Kenneth Alvin (1968). Description and evaluation of controlled freeway merging. Texas A&M University. Texas A&M University. Libraries. Available electronically from
https : / /hdl .handle .net /1969 .1 /DISSERTATIONS -171640.