Civil Engineering Reference
In-Depth Information
Fig. 11.5 Distribution of person trip lengths for the NY metropolitan area (all modes, all
purposes, 1997/1998). Source Reference [ 4 ]
given distance and
that number by the intervening travel time, cost or
distance [ 1 ] can be estimated by Eqs. 11.1 and 11.2 :
discounting
DO j k . tt ij
X
X
b
z
n
A i ¼
m
ð
11
:
1
Þ
1
;k¼ 1
X
z
1 ðDO j Þ k =ððtt ij Þ
b m
A ik ¼
ð 11 : 2 Þ
where:
1. A i = an accessibility index of a reference zone ( i ) to destination opportunities
( j ) aggregated across all of types of destination opportunities ( k
n ) (e.g., work,
shopping, etc.) in the area. This zonal accessibility index is a metric used to
compare and rank zones by their aggregate accessibility using a given mode
(m). Thus the accessibility value of each zone is mode-dependent.
2. A ik = the accessibility index of reference zone ( i ) to destination opportunities (j)
of a given type ( k ). The value of A ik is used to compare the modal accessibility
of one zone to that of another zone or to compare the zonal accessibility
provided by different transportation modes.
3. i = the reference zone
4. j = the zone of destination opportunities
5. k = the type of destination opportunities (work, shopping, medical, etc.)
6. (DO j ) k = the number of destination opportunities of a given type k at zone j,
7. (tt i j ) b m = travel time measures separating zone i and zone j using mode m . The
exponent of travel time differs with trip purpose [ 5 ]. Thus for work travel
b = 2.0; while for shopping travel b could = 3.0, to re
ect less willingness to
tolerate longer travel times for shopping trips than for work trips. As was
discussed earlier, (tt i j ) m is determined by the door-to-door travel speed of the
mode used.
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