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Evaluating Alternative Operations Strategies to Improve Travel Time ...

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SHRP 2 L11: Final Appendices<br />

Once the value of time for each user group is developed, the vehicular volume for each user group<br />

may be identified so that the value of an increase in reliability can be determined for each user<br />

group. Volume counts by vehicle class (or truck share of the <strong>to</strong>tal volume) are commonly reported<br />

and tabulated from traffic recorder data. Truck share of the <strong>to</strong>tal volume is often captured from<br />

loop-detec<strong>to</strong>r data, particularly in freight corridors. Truck volume data can also be derived from<br />

Highway Performance Moni<strong>to</strong>ring System (HPMS) data for sample segments.<br />

The 2003 U.S. DOT Guidance suggests creating a weighted average for au<strong>to</strong>mobile travel by<br />

assuming that 94.4 percent of vehicle-miles are personal trips and 5.6 percent of vehicle-miles are<br />

business related. Household travel surveys conducted by state DOTs or regional metropolitan<br />

planning organizations or the 2008 National Household <strong>Travel</strong> Survey are other sources for<br />

determining the volume by user group or by trip purpose.<br />

Applying the Methodology<br />

Using the options-theoretic approach, the costs of unreliability or the benefits of potential<br />

reliability improvement strategies can be assessed. By converting uncertain performance metrics <strong>to</strong><br />

certainty-equivalent values, valuation of reliability improvements can be achieved by simply<br />

applying appropriate values of time <strong>to</strong> the certainty-equivalent delay measure. This can be done for<br />

multiple user groups and trip purposes <strong>to</strong> the extent that the composition of the traffic stream can<br />

be determined. To implement this approach, some judgments must be made:<br />

1. The statistical nature of unreliability must be known or assumed. It must be determined<br />

whether the unreliability occurs due <strong>to</strong> events that cause speeds <strong>to</strong> be distributed lognormally,<br />

or by extreme-value-type, or other distributions. In some cases, it is easier <strong>to</strong><br />

represent the distribution of the events rather than the highway performance metric (such as<br />

speeds or travel times). This is the case in situation in which highway performance metrics<br />

are not collected comprehensively over a long period of time, but in which there is data<br />

available on the events that cause unreliable travel conditions. Formal statistical tests for<br />

the goodness of fit, like the Kolmogorov-Smirnov test can be used <strong>to</strong> verify the distribution<br />

of the data, in addition <strong>to</strong> the use of descriptive statistics and visual inspection (e.g.,<br />

his<strong>to</strong>grams).<br />

2. A time horizon for the evaluation effort must be defined that is appropriate <strong>to</strong> the reliability<br />

measurement process. If a finite horizon <strong>to</strong> the evaluation is appropriate, then an options<br />

formulation can be selected that has a finite life. If a long time horizon characterizes the<br />

process that generates unreliability, then a perpetual options formulation may be more<br />

appropriate. Thus, one might evaluate recurring congestion phenomena using short-life<br />

options. Rare events (such as bridge failures, flood events, etc.) may require a longer or<br />

even perpetual option-life assumption.<br />

3. It must be determined whether the unreliability is <strong>to</strong> be valued only at the end of an<br />

assumed time horizon or whether it is <strong>to</strong> be valued whenever (during the option’s life) the<br />

unreliability is <strong>to</strong> occur. European option formulations are appropriate for the former and<br />

American options formulations are appropriate for the latter.<br />

4. After the appropriate framework for valuation is determined, data must be assembled. This<br />

data should identify the necessary probability distributions.<br />

DETERMINING THE ECONOMIC BENEFITS OF IMPROVING TRAVEL-TIME RELIABILITY Page B-28

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