Final contract report benefits estimates of highway capital improvements with uncertain parameters



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is the travel time in hours under peak volume-to-capacity ratio and is estimated by a traditional BPR (the United States Bureau of Public Roads) curve and related BPR equation adopted from a current VDOT methodology:

where


is the free flow travel time (hours)
The free flow travel times, is given by:

where


is the roadway length influenced by the project

is the free flow speed.
The free flow speeds for different road types are adopted from NCHRP-B (1999) and are provided in Table 4. It is assumed that the implementation of a candidate project results in a reduced volume to capacity ratio at project location. A global uniform range for reduced volume to capacity ratio is fixed for all the projects. Annual peak hours before capacity enhancement are estimated for each project using the above equations and the current volume to capacity ratio. Similarly, lower and higher values of the annual peak hours after a capacity enhancement are estimated for each project using the lower and higher values of reduced volume to capacity ratio respectively. The difference between the before implementation and after implementation values is the annual benefit in travel time savings during peak hours attributable to the implementation of the project. The benefit is divided by an equivalent annual project cost to obtain a cost effectiveness measure as travel time saved per dollar invested.

where


is the annual peak vehicle hours prior to capacity enhancement

is the annual peak vehicle hours after capacity enhancement

For each project, low, high and median estimates of the cost-effectiveness measure are calculated using above formulation.




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