Problem $4(40$ points$)$

Refer to the data and Figure given below. To improve the intersection, two additional $12-$ft through lanes are added to Vine Street, one lane in each direction. If the peak$-$hour traffic volumes are unchanged but the Vine Street leftturn saturation flow rates increased by $100ve\frac{h}{h}$ and the through and right$-$turn $($T$/$R$)$ saturation flow rates double because of the added through lanes, what would the revised effective green time, yellow time, and all$-$red time be for each phase? Assume minimum cycle length, lost time per phase of $4$ s and a critical intersection $\frac{v}{c}$ of $0\mathrm{.}90$ is desired.

Peak$-$hour traffic volumes

Intersection geometry and peak traffic volumes for Maple and Vine Streets

$\backslash$table$[[$Phase $1,$Phase $2,$Phase $3],[$EB L: $1750ve\frac{h}{h},$EB T$/$R: $3400ve\frac{h}{h},$SB L: $450ve\frac{h}{h}$