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D. P. Mason

Bio: D. P. Mason is an academic researcher. The author has contributed to research in topics: Block (telecommunications) & TRAC. The author has an hindex of 1, co-authored 1 publications receiving 5 citations.

Papers
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01 Jan 2010
TL;DR: The eect of a road block on the trac depends on three parameters, the density of the oncoming trac, the time T and the ratio of the speed limit in the road block to the speedlimit on the open road.
Abstract: The eect of a road block on trac ow is investigated using the model in which the trac velocity is a linear function of the trac density. The road consists of two lanes in one direction and one lane is closed for a short distance by a road block. The length of the tailback at the entrance to the road block, the time spent in the road block and the trac ux at the exit to the road block are calculated. The maximum length of the tailback is a linear function of the time T that the road block was in place. The eect of the road block on the trac depends on three parameters, the density of the oncoming trac, the time T and the ratio of the speed limit in the road block to the speed limit on the open road. The congestion caused by the road block can be managed by adjusting T and .

5 citations


Cited by
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Journal ArticleDOI
TL;DR: To the best of our knowledge, there is only one application of mathematical modelling to face recognition as mentioned in this paper, and it is a face recognition problem that scarcely clamoured for attention before the computer age but, having surfaced, has attracted the attention of some fine minds.
Abstract: to be done in this area. Face recognition is a problem that scarcely clamoured for attention before the computer age but, having surfaced, has involved a wide range of techniques and has attracted the attention of some fine minds (David Mumford was a Fields Medallist in 1974). This singular application of mathematical modelling to a messy applied problem of obvious utility and importance but with no unique solution is a pretty one to share with students: perhaps, returning to the source of our opening quotation, we may invert Duncan's earlier observation, 'There is an art to find the mind's construction in the face!'.

3,015 citations

Book ChapterDOI
01 Jan 2005

8 citations

Proceedings ArticleDOI
03 Jul 2014
TL;DR: A prototype of a system that considers the real time traffic scenario on the road to implement dynamic vehicle routing and provides assistance to the driver in choosing the path that would take minimum time for travel.
Abstract: This paper proposes a prototype of a system that considers the real time traffic scenario on the road to implement dynamic vehicle routing. Conventionally, a path which is shorter in distance is considered to take minimum travel time. However, this need not always be true. Depending upon the traffic density prevailing on the road at the given instant, the travel time may vary. The proposed system is developed with the help of a data fusion algorithm. The data fusion algorithm is prepared based on the information obtained from a mathematical model developed using Dijkstra's Algorithm and from Image Processing based on real time scenario. The entire system is made stand alone by using eBox. At the end of computation, the system provides assistance to the driver in choosing the path that would take minimum time for travel.

4 citations

01 Jan 2014
TL;DR: The results obtained show that for initial traffic densities exceeding a critical value the flux through the system will be increased if switching is allowed, and inevitably disruptions will be caused by lane changes which will propagatethrough the system and also into the oncoming stream.
Abstract: In order to facilitate the flow of traffic in Gauteng province, South Africa, during peak hours the transport authority is investigating the effect of allowing minibus taxis to use the lanes presently reserved for buses either throughout the day or just during peak hours. One would expect the reduction of flow in the normal lane to result in increased car speeds in this lane and also increased speeds for the minibus taxis in the bus lane, however bus speeds may be reduced and therefore timetables not adhered to. The results obtained show that for initial traffic densities exceeding a critical value the flux through the system will be increased if switching is allowed. Inevitably disruptions will be caused by lane changes which will propagate through the system and also into the oncoming stream. Such dynamics issues are also briefly discussed. ∗Mathematics Department, University of Western Australia, Crawley, WA 6009, Australia email: neville.fowkes@uwa.edu.au †School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa. email: Dario.Fanucchi@wits.ac.za ‡School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa

1 citations