### Total vehicle delay in the cycle with queueing diagram

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##### Reference no: EM1382729

I need a queueing diagram for this problem, so that i can successfully understand the mechanics of these types of problems. Im having trouble understanding how to "set-up" the problems and creating equations of lines that sucessfully show accurate queueing relationships

Problem statement: The saturation flow rate for a pretimed signalized interesection approach is 1800 veh/hr. The cycle length is 80sec. It is known that the arrival rate during the effective green is twice (2x) the arrival rate during the effective red. During one cycle, there are two (2) vehicles in the queue at the beginning of the cycle and there are eight (8) vehicles in the queue at the end of the effective red. If the queue clears exactly at the end of the effective green D/D/1 queuing applies, determine the total vehicle delay in the cycle (in veh-sec) .

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