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where forecasts, which tends to result in agencies "painting them-
selves into corners" by planning very precisely for ultimately
x = The mean of the performance measure as measured in
uncertain future conditions.
the field;
For a first attempt to introduce the concept of uncertainty
q = The maximum acceptable value for the performance
measure; into the forecasting process, the analyst can use the known
s = The standard deviation of the performance measure as and measured uncertainty of direct field measurements of
measured in the field; travel time and delay. It is assumed the variance of the fore-
n = The number of measurements of the performance casts is at least equal to, if not actually greater than that
measure made in the field; and measured in the field, since in addition to all the other un-
t = The Student's t distribution for a level of confidence of certainties in the field, forecasts have uncertainty as to the
(1-alpha) and (n - 1) degrees of freedom (see standard actual number of vehicles present. So as a first approxima-
statistics text book, spreadsheet function, or Exhibit 5.1 tion, the analyst might use the field measured variance in
below for values to use). travel time and delay (if available) and perform the hypoth-
esis tests described above for field measured data. One
merely substitutes the forecasted values for the field meas-
5.4.3 Second Null Hypothesis ured mean values into the equations and uses the standard
(Cry Fire at the First Hint of Smoke) deviation of the field measured values for the standard de-
Reject the null hypothesis that the system meets agency viation in the equations.
standards (with confidence level equal to 1-alpha) if the fol- The effect of introducing the above described hypothesis
lowing equation is true. tests into the assessment of future deficiencies is to provide
for a margin of error in planning for the future.
s
x > q - t (1- );(n-1) (Eq. 5.2)
n 5.6 Diagnosing the Causes
where all variables are as explained above for previous equation. Once one or more deficiencies have been identified, it is
valuable to be able to assign a primary cause to the defi-
ciency. This will aid the analyst later in generating alterna-
tive improvement strategies to mitigate the problem.
5.5 Comparing Forecasted
Exhibit 5.2 below provides some initial suggestions for iden-
Performance to
tifying the root causes of travel time, delay, and variability
Performance Standards
deficiencies. Other significant resource documents are
Generally the degree of uncertainty present in forecasts available for this purpose, and the reader is referred to Sec-
or estimates of travel time or delay in not known. Common tion 7.3 for several references that cover both highway and
practice is to completely ignore any uncertainty in the transit modes.
Confidence Level
N 50% 85% 90% 95% 99%
5 0.74 1.78 2.13 2.78 4.60
10 0.70 1.57 1.83 2.26 3.25
50 0.68 1.46 1.68 2.01 2.68
100 0.68 1.45 1.66 1.98 2.63
1,000 0.67 1.44 1.65 1.96 2.58
Exhibit 5.1. Student's t values.
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Deficiency Proximate Causes Likely Root Causes
Travel Time is excessive, but Free-flow speeds are too low or Low-speed facility perhaps due to
no significant delay or travel distances are too great. inadequate design speed (not a
reliability deficiencies. freeway).
Road System does not provide a
straight line path between origin
and destination (such as in
mountainous terrain).
Delay is regular but excessive. Inadequate capacity when compared Insufficient number of lanes.
(There may be excessive to demand. Inadequate design.
variability in travel time, but
Poor signal timing.
delay recurs regularly.)
Too much demand.
Lack of alternative routes or modes
for travelers.
Excessive Variability in Delay. Facility is prone to incidents and/or Facility is accident prone due to
response to incidents is inadequate. poor design.
There may be surges in demand. Frequent days of poor weather.
Incident detection and response is
poorly managed or nonexistent.
Travelers not provided with timely
information to avoid segments with
problems.
There are unmetered surges of
demand (often from large special
generators).
Exhibit 5.2. Diagnosis chart for travel time, delay, and variability deficiencies.