Given:

An intersection has a three$-$timing$-$stage signal with the movements allowed in each timing stage and corresponding analysis and saturation flow rates shown in Table $7\mathrm{.}1$ and Table $7\mathrm{.}2$

Table $7\mathrm{.}1$ Flow Rates for Three$-$Timing$-$Stage Design at Intersection

Table $7\mathrm{.}2$ Saturation Flow Rates for Three$-$Timing$-$Stage Design at Intersection

Find:

a$)$ Calculate the sum of the flow ratios for the critical lane groups. $(20$ points$)$

b$)$ Calculate the minimum cycle length Assume the lost time is $4$ seconds per timing stage and a critical intersection $\backslash ($ v $/$ c $\backslash )$ of $0\mathrm{.}85$ is desired. $(15$ points$)$

c$)$ Calculate the effective green time for each timing stage. $(15$ points$)$

d$)$ Calculate the northbound average approach delay and level of service. $(35$ points$)$

e$)$ Calculate the southbound average approach delay and level of service. $(35$ points$)$

f$)$ Calculate the eastbound average approach delay and level of service. $(35$ points$)$

g$)$ Calculate the westbound average approach delay and level of service. $(35$ points$)$

h$)$ Calculate the intersection average approach delay and level of service. $(10$ points$)$

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