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Evaluating Alternative Operations Strategies to Improve Travel Time ...

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SHRP 2 L11: Final Appendices<br />

Conceptual Considerations in Relying on Revealed or Stated<br />

Preference Methods<br />

There are numerous aspects of the RP/SP approach that make reliance on this method problematic<br />

in practice. Some of the contrasts between the options and RP/SP approaches are the following:<br />

1. The RP or SP approaches are not economical <strong>to</strong> apply, requiring costly studies for its<br />

application. Putting aside any general skepticism about the reliability of SP procedures<br />

in particular, even this method is a relatively costly <strong>to</strong> implement and subject <strong>to</strong> the<br />

same statistical issues and biases that creep in<strong>to</strong> interview-based contingent valuation,<br />

conjoint and similar analyses.<br />

2. The RP and SP approaches are not agnostic procedures free of functional form<br />

assumptions akin <strong>to</strong> those of the options approach. In particular, they implicitly adopt<br />

utility function specifications that are usually asserted, rather than demonstrated. The<br />

function form is usually linear in its arguments (or some non-linear specification <strong>to</strong><br />

introduce risk-aversion). This is analogous, in a mathematical sense, <strong>to</strong> the fact that the<br />

Black-Scholes approach employs assumptions about risk, <strong>to</strong>o. In its simplest<br />

expression, Black Scholes assumes risk-neutrality, but has been shown <strong>to</strong> be robust <strong>to</strong><br />

the assumption of risk-aversion.<br />

3. The RP and SP analyses usually also postulate a fairly specific characterization of the<br />

context of unreliability–e.g., that it arises out of a particular manifestation of a<br />

scheduling-cost problem, etc. The options theoretic approach is no more restrictive; it<br />

simply postulates that there is a willingness <strong>to</strong> pay for insurance (hypothetically) that<br />

compensates drivers for not experiencing below-average speeds that are, in turn, drawn<br />

from a log-normally distributed delay process.<br />

4. A major difference is that the options theoretic approach allows separation of the valueof-time<br />

issue from the "real" unreliability issue. Since the existing travel models carry<br />

values of time internally for other purposes (mode choice and traffic assignment), the<br />

RP and SP approaches (typically confounding time-time savings valuation and traffic<br />

variability), are harder <strong>to</strong> integrate in<strong>to</strong> the modeling suite. In contrast, the options<br />

approach allows unreliability <strong>to</strong> be introduced directly in<strong>to</strong> traditional, volume-delay<br />

specifications used in travel model platforms. Since its primary empirical input is<br />

speed-distributional information, it imposes light additional burdens on the modeler.<br />

The required data on speed variations is plentiful, easily calculated from loop-detec<strong>to</strong>r<br />

his<strong>to</strong>ries, and can be made idiosyncratic <strong>to</strong> individual network links. For the same<br />

reason, the approach is friendlier in microsimulation model settings.<br />

Numerical Comparison<br />

A numerical comparison demonstrates that the options theoretic approach yields values of<br />

unreliability similar <strong>to</strong> RP-derived estimates of Small, Wins<strong>to</strong>n and Yan (2005).<br />

The additional complexity and cost of measuring and implementing RP/SP-derived measures<br />

would be worthwhile, perhaps, if the simpler and less demanding options approach yielded vastly<br />

different measures. In fact, however, the measures are virtually indistinguishable. This is<br />

demonstrated below by comparing an options measure <strong>to</strong> that derived in Small, Wins<strong>to</strong>n and Yan<br />

(2005) ("SWY"). This work is a highly regarded implementation of the RP/SP approach.<br />

DETERMINING THE ECONOMIC BENEFITS OF IMPROVING TRAVEL-TIME RELIABILITY Page B-30

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