Heydecker, Benjamin Gorringe; (1983) Mathematical analysis of responsive priority for buses at traffic signals. Doctoral thesis (Ph.D), University of London.

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Abstract

The purpose of this thesis is to investigate the consequences for all traffic of providing priority for buses. The range of priority methods which are currently available is reviewed and the method of responsive priority is selected for detailed analysis. The roles, both as factors in evaluation and as performance measures, of the traffic capacity of a junction and the mean delay incurred by each kind of vehicle in passing through it are identified. A versatile model of a signal-controlled road junction is extended to incorporate a representation of responsive priority. This model is analysed to determine the capacity of each stream of traffic at a junction where responsive priority is provided for buses. An investigation is presented of the problem of finding signal-settings which, when implemented with responsive priority, give rise to similar capacity for each stream to that arising when some given ones are implemented in the absence of priority. A formula is derived which is appropriate for estimating the mean delay incurred by non-priority vehicles. Separate methods are developed to estimate the mean delay incurred by priority vehicles. These methods are applied to the most usual forms of responsive priority so that the likely effects of their implementation can be investigated. Numerical results for two example junctions are given and discussed.

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