The intervening-opportunities model applied to land use in a uniform city

The intervening-opportunities model applied to land use in a uniform city

Transpn Res. Vol. 4, pp. i-xii. Pergamon Press 1970. Printed in Great Britain TRANSPORTATION RESEARCH ENGLISH, GERMAN, FRENCH AND OF THE PAPERS A...

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Transpn Res. Vol. 4, pp. i-xii.

Pergamon

Press 1970. Printed in Great Britain

TRANSPORTATION

RESEARCH

ENGLISH, GERMAN, FRENCH AND OF THE PAPERS APPEARING

VOL. 4 No. 2

RUSSIAN ABSTRACTS IN THIS ISSUE

DENNISE. BLUMENFELD and GEORGEH. WEISS: On the robustness of certain assumptions in

the merging delay problem. Transpn Res. 4, 125-139. Early studies of the problem of merging delay at an uncontrolled intersection’used the assumption of a step gap acceptance function. Many measurements exist of gap acceptance functions that are not of this form. We examine the theoretical consequences of replacing a realistic gap acceptance function by one that is a step function, and show that several important parameters are relatively insensitive to the change, when the main stream of traffic follows a Poisson distribution.

DENNISE. BLUMENFELD and GEORGEH. WEISS: On queue splitting to reduce waiting times.

Transpn Res. 4, 141-144. The delay to a queue of vehicles in a minor road waiting to merge with a main traffic stream can be reduced by dividing the queue into two or more separate queues. We investigate the effect of such a division into two and three streams. The results for a wide range of parameters show that the average delay is very close to the minimum when the minor road traffic flow is divided equally into the separate streams, and is relatively insensitive to variations from equal proportions of flow in each stream. Very little further reduction in delay is achieved by three streams rather than two, except when the minor road flow is near the critical value.

ALAN J. MILLER: The intervening-opportunities

model applied to land use in a uniform city. Transpn Res. 4, 145-149. , The distribution of population density is derived for a perfectly uniform city for which the intervening-opportunities model, with only one centre of attraction, applies to land use. Clark has shown that, in many cities throughout the world, the logarithm of the population density decreases approximately linearly with distance from the city centre. With the simple intervening-opportunities model, towards the outskirts of the city the logarithm of the population density decreases approximately as the square of the distance. The model also predicts that the boundary of the developed area becomes sharper as the population increases.