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Sketch a cumulative flow diagram that represents the growth and dissipation of a rush hour period at a toll bridge with time-independent capacity. 1)

Sketch a cumulative flow diagram that represents the growth and dissipation of a rush hour period at a toll bridge with time-independent capacity. 1) Identify on the diagram: the arrival curve A(t), the maximum queue, the total delay W, the duration of the saturation period, T, and the service rate . 2) Determine the change in delay if the service rate is increased by a small amount Au during the last half of the saturated period. 3) Determine the change in the delay if the service rate is increased by an amount Au/2 for the whole duration of the period and/or by an amount of Au for the first half of the period. Discuss. Note: Assume the change in T is negligible in (2) and (3).

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