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Traffic basics

Basics Transportation Engineering Reviewed 24 Oct 2026 2 min read

Traffic engineering starts with three measurable quantities. Flow is vehicles passing a point per hour. Density is vehicles per kilometre of lane at an instant. Speed links them: flow equals density times speed.

Speed falls as density rises. At low density drivers travel freely; as vehicles crowd together they slow down. Flow rises with density up to a maximum, the capacity, then falls as traffic becomes congested. The simplest model, by Greenshields, assumes speed drops in a straight line with density, which gives a parabola for flow and a capacity at half the jam density.

density k
Diagram: Indiacon original, not to scale.

Indian traffic is mixed: two-wheelers, autos, cars, buses and trucks share lanes. Counts are converted to passenger car units so different vehicles can be compared.

These ideas feed the design of lanes, intersections and signals, and they explain why a small loss of capacity, a stalled bus or a lane closure, causes long queues at busy times.

Key formulas
  • q = k v
  • Greenshields: v = v_f (1 − k / k_j)
  • Capacity q_max = v_f k_j / 4 at k = k_j / 2
Solved example

Problem. Free speed 80 km/h, jam density 160 veh/km/lane. Find capacity per lane by Greenshields.

  1. q_max = 80 × 160 / 4 = 3 200 veh/h/lane (a theoretical value; field capacities are lower).

Answer. 3 200 veh/h per lane (model value)

Quick quiz

1Relation between flow, density and speed?

q = k v.

2At what density does Greenshields capacity occur?

Half the jam density.

3What is a PCU?

Passenger car unit, used to convert mixed vehicles to an equivalent.

Code note
  • IRC:86 (India): Geometric design standards for urban roads.

Cited by number and clause only. We do not reproduce clause text, tables or figures (BIS Act 2016, s.10(5) and s.11). Check the current edition and amendments before use.

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References and further reading

Standard texts, listed in no order of merit. We do not copy text, figures, tables or solved problems from any book; our explanations and examples are original.

  • L. R. Kadiyali, Traffic Engineering and Transport Planning, Khanna Publishers, latest edition.
  • N. J. Garber, L. A. Hoel, Traffic and Highway Engineering, Cengage, latest edition.

Free and official sources

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