TOLL BOOTH CONGESTION STUDIES AT THE LAGOS - IBADAN EXPRESSWAY
TOLL BOOTH CONGESTION STUDIES AT THE LAGOS - IBADAN EXPRESSWAY
No Thumbnail Available
Date
1982-05
Authors
NATHANIEL, CHUKWUMA IKEM
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The problems of organization to meet the
rising tide of traffic congestion, patron complaint
and increased costs appear, for some time now, to
characterize the operation of vehicular toll collection
at the Lagos - Ibadan expressway toll booth.
It is the principal purpose of this research
to study the weekend peak traffic delays at this
facility by analyzing the queueing problem. This
issue is addressed here in order to evaluate the
level of service given to patrons and to seek a
better understanding of the factors contributing to
the poor toll booth service and the means by which
service could be improved.
Two policemen constitute a set of parallel
servers and vehicles leave them for the toll
collectors who constitute another set of six
parallel servers. Thus a tandem queueing situation,
in which capacity restrictions are imposed, is
identified for the system.
Specifically, it is a truncated 2-stage serial
queue. It has two parallel servers at the first
stage and six parallel servers at the second stage.
Vehicles are of different types and the servers are
different from one another while order of service
is first come first served.
Data is collected and analyzed using explanatory
and confirmatory statistical techniques in order to
suggest possible theoretical models that can
persimoniously describe the behaviour of the
variables of interest for the system. In particular
the possibility of a poisson arrival and an
exponential service time for all channels at both
stages is fully explored and the possibility for
stationary ineuts and aggregation of data is
surveyed through statistical methods. A one-way
analysis of variance and curve fitting using the
Kolmogorov-Smimov (K-S) test, are carried out on sets
of the data and the poisson/exponential assumptions
are fairly justified. A computer programme is
written for use with the curve fitting technique.
An approximate low fidelity analytical model
with the general capability of predicting the
'steady state' performance of the toll booths under a
wide range of different physical and operational condition
Is then sought to provide operational
solutions to the problem.
A survey of candidate models from existing
queueing literature suggests an appropriate base
model which is modified and adopted for this study.
The expected waiting time, mean number in line
(excluding the first queue), the customer loss ratio
and all other measures of system effectiveness which
are of operational interest are then obtained from
the model equations using a computer programme
designed to evaluate these performance measures.
These system effectiveness measures constitute
the basic model output and to validate this
analytic/predictive model some of these predicted
measures are compared with those measured under
same conditions of input.
Finally, a few numerical results are tabulated
and a graphical illustration shown. Recommendations
are then made on how to improve operations and the
thesis concludes by touching upon questions yet
unsolved.
Description
A Dissertation Submitted To The Postgraduate
School, Ahmadu Bello University, Zaria
In Partial Fulfillment Of The Requirements For
The Award Of Master Of Engineering (M.Eng.)
Degree In Civil Engineering.
DEPARTMENT OF CIVIL ENGINEERING
FACULTY OF ENGINEERING
AHMADU BELLO UNIVERSITY, ZARIA
May, 1982
Keywords
TOLL BOOTH,, CONGESTION,, LAGOS - IBADAN EXPRESSWAY