Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

of the three are unknown, one-third of the "other" category is al-
locatod to waterway-dependent delays and two-thirds to waterway-
independent delays. When this is done, it is seen that total waterway-
dependent delays cannot amount to more than 4.01 percent of active
pimc, while total waterway-independent delays amount to 9.07 percent
of active time. Or, in other words, a maximum of one-third of mis-
cellaneous delays may be waterway dependent. This seems to be an
upper bound and that in all likelihood the proportion is much lower
than one-third, for not every weather delay, running-aground delay,
and waiting-clear-channel delay is dependent on waterway character-
istics. Moreover, these delays are not ignored in the following
analysis, but, rather, they are assumed to be equally spread among
waterways regardless of waterway characteristics.
Next, a framework is established in which the aggregate delay
data may be used to estimate the miscellaneous delay time for indi-
vidual trips. The following relationship among the aggregate vari-
ables is defined:
10
t t =t +t =t + 1: t .
anr in
i=1
in wnich t t = total time in a year, in hours, (observable from
data)
-
t a = total active time in a year, in hours (observable
from data)
• t n = total inactive time in a year, in hours (observable
from data)
t r = total running time in a year, in,hours (observable
from data)
t. = total delay time in a year for the ith delay, in
i
hours, i - 1, ..., 10 (observable from data).
(4.37)
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