Highway Engineering

of Equations 5.5 and 5.6, using co-ordinate transformations to derive the fol-
lowing equations for average queue length and delay.

Queue length

L =0.5 ¥((A^2 +B)1/2-A) (5.7)

where

(5.8)

(5.9)

Delay per unit time

Kimber and Hollis (1979) evaluated the relevant area under the queue length
curve in order to derive an expression for delay.

(5.10)

where

(5.11)

(5.12)

Delay per arriving vehicle

Kimber and Hollis (1979) derived the following expression as a measure of the
average delay per arriving vehicle over an interval. The expression has two parts;
the first relates to those suffered in the queue while the second (1/m) relates to
those encountered at the give-way line.

(5.13)

where

(5.14)

Q (5.15)

Ct L

t

=+Ê^0

ËÁ

ˆ

̄ ̃

22

m

r

m

PtLC=¥-[]05 1. ()r --^1 () 0

m

DPQ)v=¥ + -+ 05 .((^212 P) 1 m

G

LttCLt

t+2 1 C

= ()^00 + Î ̊--()()+

()-

22 rm m 1 2 rm

m

F

tLt CLt

t+2 1 C

=()()- --()^00 --()()+

()()-

12141

2

rm^2 m rm

m

DFG)F)t=¥ + -05.((^212

B

LttCLt

tC

= ()^00 + Î ̊--()()+

+-()

41

1

rm m rm

m

A=

1t Lt CLt

tC

()()- +-() 00 --()()+

+-()

rm m rm

m

(^2121)
1
The Design of Highway Intersections 113