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Development of Signal Phasing and Timing Plans

1. 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 7.6. Calculate the sum of the flow ratios for the critical lane groups.

2. An intersection has a four-timing-stage signal with the movements allowed in each timing stage and corresponding analysis and saturation flow rates shown in Table 7.7. Calculate the sum of the flow ratios for the critical lane groups.

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3. The minimum cycle length for an intersection is determined to be 95 seconds. The critical lane group flow ratios were calculated as 0.235, 0.250, 0.170, and 0.125 for timing stages 1–4, respectively. What Xc was used in the determination of this cycle length, assuming a lost time of 5 seconds per timing stage?

4. A pretimed four-timing-stage signal has critical lane group flow rates for the first three timing stages of 200, 187, and 210 veh/h (saturation flow rates are 1800 veh/h/ln for all timing stages). The lost time is known to be 4 seconds for each timing stage. If the cycle length is 60 seconds, what is the estimated effective green time of the fourth timing stage?

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