Abstract
By use of sociometric indices from graph theory, the paper presents three mathematical models for measuring performance levels of highway networks.
The first model, called “status index with respect to section” or SIS, is intended to indicate explicitly the performance level of a particular section (link) between two major crossings (nodes), relative to the aggregate performance levels of the entire network, of which the section is part.
The second model, called “status index with respect to route” or SIR, aims to indicate explicitly the performance level of a particular route, relative to the aggregate performance levels of the entire network, in which the route is a chain of particular sections. The third one, called “status index with respect to its role in route formation or “SIRF”, explicitly indicates the importance of a particular section, relative to the entire network, measured in terms of the increment in the shortest distance for a given OD pair when the section is removed.
With a case study performed for the highway network in the eastern part of Tottori prefecture, it is shown that the proposed models will appropriately serve the intended purposes when applied in practice.
