Problem $1(30$ pts$).$

a$)$ Choose an area type, the central business district or else, and a facility type, recreational or else. $(1\mathrm{.}0$ pt$)$

b$)$ For this area type, select an intersection. At this intersection, determine the number of intersection legs and approaches, typically between $3$ to $5.(1\mathrm{.}0pt)$

c$)$ For each crossing street, select an average annual daily traffic. Based on the facility type chosen, approximate the directional design hourly flows for each travel direction on each cross street. $(3pt)$

d$)$ Select a cycle length. You may want to specify the margins within which you can select your cycle. $(2$ pts$)$

e$)$ Decide on the lane number to accommodate your traffic volumes at the intersection given a basic traffic signal scheme and the highway capacity manual approach. You may want to allocate your traffic volume to varied traffic movements at each approach. $(3$ pts$)$

f$)$ Decide on a signal phasing at your intersection. Provide significant turning flows given their

opposing flows so that a basic two$-$phase signal may not do$.$ Thus, ensure at least a threephase signal timing. Provide the ring diagram. $(1$ pt$)$

g$)$ Compute the necessary duration of the yellow, all red $($change$,$ clearance$)$ and of the minimum green intervals. $(5$ pts$)$

h$)$ Determine your lost time for the cycle as the sum of $1)$ your yellow plus all red times, and $2)$ your green extensions minus your startup delays $(2pts).$ Start up delays and loss times usually cancel out each other. You could select the default values on your HCS software, $2$ s $.$

i$)$ Provide the signal timing at your intersection as computed by hand.

j$)$ Using the HCS software, attempt to time the traffic signal at your intersection. Provide the delays and levels of service for each approach and for the intersection. $(5$ pts$)$

k$)$ Based on the results obtained, is your cycle length sufficient? $(1pt$

Based on the results obtained, are your green times sufficient? $($You must also ensure that your green times exceed your minimum greens.$)(1$ pt$)$

m$)$ Retime your signal to obtain an overall intersection volume to capacity ratio of approximately $0\mathrm{.}9.$ Also ensure that your signal timing is balanced given the same prevailing volume to capacity ratio for all critical movements. $(5$ pts$)$