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Evaluating Alternative Operations Strategies to Improve Travel Time ...

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SHRP 2 L11: Final Appendices<br />

increases, say from K=5 <strong>to</strong> K=10 as shown below, F(V), also expressed as millions of dollars,<br />

decreases. Figure C.7 demonstrates the relationship between the project value and the number of<br />

avalanche closures. This figure is for illustrative purposes, only, because the Gumbel was<br />

estimated only for the avalanche incidence on one pass (I-90) and may not represent the incidence<br />

of conditions that cause avalanches on multiple passes. However, it reveals the expected result,<br />

i.e., that a project or strategy intended <strong>to</strong> remediate multiple avalanches does not have high value<br />

because it is such a rare event.<br />

Figure C.6 - Certainty Equivalent benefit for Different Mitigation Costs, K<br />

Figure C.7 - Sensitivity of F(V) <strong>to</strong> different Numbers of Avalanche Closures per Month<br />

2.5<br />

2.0<br />

1.5<br />

1.0<br />

0.5<br />

0.0<br />

0 2 4 6 8 10 12<br />

Number of Closure Events, X<br />

VALUATION OF TRAVEL-TIME RELIABILITY FOR RARE EVENTS Page C-12

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