The uncontrolled traffic merge

The merging of independent traffic streams is studied. The arrival processes comprise random sized bunches of cars, the bunches being separated in time by random sized gaps. Within each bunch, cars are spaced at one time unit apart. Under a distributional assumption on the inter bunch gaps exact formulae are found for (a) the mean delay of cars, (b) the first two moments of the post merge bunch size, and (c) the distribution of the inter bunch gaps in the post merge process. It is shown that the distributional assumption is realistic and moreover that the distribution of (c) is of the same form. The arrival bunches have general size distribution with finite mean and variance.

• Authors:
  • Cowan, R
• Publication Date: 1977

Language

• English

Media Info

• Pagination: 16p

Subject/Index Terms

• TRT Terms: Bunching; Mathematical models; Merging traffic; Traffic congestion
• ATRI Terms: Bunching; Merging traffic; Modelling; Traffic congestion
• Subject Areas: Operations and Traffic Management;

Filing Info

• Accession Number: 01439891
• Record Type: Publication
• Source Agency: ARRB
• Files: ATRI
• Created Date: Aug 24 2012 10:43PM