QUEUE MODELLING AND APPLICATIONS AT THE KADUNA TOLL BOOTHS
QUEUE MODELLING AND APPLICATIONS AT THE KADUNA TOLL BOOTHS
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Date
1998-04
Authors
CHIKEZIE, CLARKSON UKA,
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Abstract
The toll booth on the Kaduna - Zaria highway has been
modelled as a queue system by adapting the makino model. Data
collected on several days at the site was used to calibrate the model.
Field conditions wherein a police check-point is encountered just
before the toll booth justified the idealization of the system as a twostage
queue. Allowance for U-turning in-between the police checkpoint
and the toll booth was made by incorporating a fixed
probability, deduced from field observations into the model. A wide
range of vehicle arrival rates was simulated for each of the vehicles
categories served.
Results from the simulation correlated highly with actual
observed simulations and the trends obtained conformed with
theoretical values. For the Car channels, the expected waiting time
ranges from 5.76 to 29.16 seconds; number in queue ranges from
0.4 to 9 cars; customer loss ratio ranges from 0.8585 to 9.3899
while utilization factor ranges from 0.4612 to 0.9541 and blocking
probability ranges from 0.0000 to 0.4100.
A number of options for improving the performance of the
system was then investigated. Of all the options available for cars,
the option which has one policeman in series with two collectors is
adopted. Here, the two police channels are replaced by the super
service channel, the three toll booths normally used for cars are
reduced to just two channels.
Description
A THESIS SUBMITTED TO THE POSTGRADUATE SCHOOL,
AHMADU BELLO UNIVERSITY, ZARIA
IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR
THE AWARD OF THE DEGREE OF MASTER OF SCIENCE IN
HIGHWAYS AND TRANSPORTATION ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
FACULTY OF ENGINEERING
AHMADU BELLO UNIVERSITY
ZARIA, NIGERIA
APRIL, 1998
Keywords
QUEUE,, MODELLING,, TOLL BOOTHS