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SHRP 2 L11: Final Appendices<br />

There are three alternate approaches <strong>to</strong> addressing the aggregation of reliability considerations on<br />

the network level. Each of them has advantages and disadvantages.<br />

Direct Measurement of Unreliability at the Network Level<br />

This method involves measuring unreliability separately for each roadway segment in the roadway<br />

network. If this can be accomplished, then the network-level effects can be aggregated from the<br />

individual link effects. <strong>Alternative</strong>ly, unreliability could be measured at the network level. For<br />

example, one might measure speed volatility using network-wide VMT and VHT data. The mean<br />

and standard deviation of the log mean and standard deviation of the ratio of regional VHT and<br />

VMT could be computed by vehicle class and by trip type from daily observations over some<br />

period of time. The certainty-equivalent value of unreliability then can be calculated directly using<br />

the European put option approach described earlier in this appendix.<br />

The certainty equivalent delay associated with each category of travel could then be monetized by<br />

applying the appropriate value of time. <strong>Strategies</strong> or policies that mitigate unreliable travel could<br />

then be evaluated using conventional benefit-cost techniques, so long as the strategy or policy can<br />

be characterized by a change in the reliability performance measures.<br />

Measurement using Region-Specific <strong>Travel</strong> Models<br />

Simulation of the effect of strategies or policies that are intended <strong>to</strong> improve reliability at the<br />

network level can be measured using modeling techniques for the regional network that are<br />

sensitive <strong>to</strong> the impact of these strategies (such as dynamic <strong>to</strong>lling) that affect system reliability. In<br />

this approach, a model of the regional network is used <strong>to</strong> examine the effect of any changes in<br />

reliability that occur on the affected segments or that occur on the network as a whole. Certaintyequivalent<br />

option models can be used in conjunction with microsimulation, dynamic traffic<br />

assignment, or other model platforms that measure how unreliability is affected by a pricing-, or<br />

operational-, or capacity-improvement policy.<br />

This approach has the potential <strong>to</strong> be both comprehensive and respectful of regional network<br />

idiosyncrasies. The Puget Sound Regional Council's four-step travel demand model has<br />

incorporated link-level augmentations <strong>to</strong> allow measurement of unreliability effects. Although it is<br />

applied only <strong>to</strong> freeway links (using a representative s<strong>to</strong>chastic rendering for all links), it is a<br />

convenient way <strong>to</strong> au<strong>to</strong>matically consider the benefits of improving reliability when evaluating<br />

various strategies and policies (not just policies designed <strong>to</strong> address unreliability issues).<br />

This regional-model approach also has the potential <strong>to</strong> help extrapolate events that occur on only a<br />

few links in the network <strong>to</strong> determine the impact on the network as a whole. Xie and Levinson<br />

(2008) used this general method <strong>to</strong> evaluate the effect of the failure of the I-35W bridge in the<br />

Minneapolis region. In this case, <strong>to</strong>tal delay was addressed, but reliability was not.<br />

The accuracy of this method is limited only by the capabilities of the model. Obviously, a model<br />

that simulates the dynamic behavior of traffic (and the volatility of travel speeds throughout the<br />

network) provides a better way <strong>to</strong> represent unreliability with and without the application of<br />

various strategies or policies. The evaluation exercise then proceeds <strong>to</strong> capture the performance<br />

data (link by link or in the aggregate across the network) and apply the valuation methods<br />

described above <strong>to</strong> the reliability metrics.<br />

Mathematical Representation of Network Reliability<br />

A third approach is <strong>to</strong> employ mathematical models of network reliability <strong>to</strong> simulate the impact of<br />

a strategy or policy on network performance. These models differ from regional models used by<br />

DETERMINING THE ECONOMIC BENEFITS OF IMPROVING TRAVEL-TIME RELIABILITY Page B-19

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