Question: . . . Assess the following scenario using a Deterministic Queueing Analysis: In general, during the AM peak period 240 vehicles per hour travel west

. . . Assess the following scenario using a
. . . Assess the following scenario using a Deterministic Queueing Analysis: In general, during the AM peak period 240 vehicles per hour travel west along Forest Road and turn right into Penshurst Street The signalised intersection can service 6 right turning vehicles every minute. The capacity of the right turn bay is 10 vehicles. Consider an accident occurs on the eastbound direction of Forest Road at 8am resulting in a blocked intersection at Penshurst Street not allowing any right turning vehicles from Forest Road to travel north-west along Penshurst Street. The blocked intersection lasts until 8:10am. Assume that there are zero vehicles queuing prior to the intersection being blocked. . a) Do sustainable queueing events occur in the context described above? Clearly explain your response by defining sustainable queuing and then presenting evidence. (4 marks) b) Draw the cumulative arrival and cumulative departure graph for the above queuing scenario. The drawing must present arrivals and departures from 7:30am to 9:00am where the blockage occurs from 8:00am to 8:10am. Clearly present the arrival curve and the departure curve (in different colours) and label both axes (include units). (10 marks) c) What is the maximum queue of vehicles? Approximate the queue length (in metres). Does this queueing event confirm residents' complaints of excessive queuing? (6 marks) d) What is the total delay of the queuing event? Calculate the number of vehicles that will be affected by the queuing event and the average individual delay of the vehicles affected (4 marks) e) Propose two possible traffic management solutions to alleviate the queueing concerns raised by the community. (6 marks) . . . Assess the following scenario using a Deterministic Queueing Analysis: In general, during the AM peak period 240 vehicles per hour travel west along Forest Road and turn right into Penshurst Street The signalised intersection can service 6 right turning vehicles every minute. The capacity of the right turn bay is 10 vehicles. Consider an accident occurs on the eastbound direction of Forest Road at 8am resulting in a blocked intersection at Penshurst Street not allowing any right turning vehicles from Forest Road to travel north-west along Penshurst Street. The blocked intersection lasts until 8:10am. Assume that there are zero vehicles queuing prior to the intersection being blocked. . a) Do sustainable queueing events occur in the context described above? Clearly explain your response by defining sustainable queuing and then presenting evidence. (4 marks) b) Draw the cumulative arrival and cumulative departure graph for the above queuing scenario. The drawing must present arrivals and departures from 7:30am to 9:00am where the blockage occurs from 8:00am to 8:10am. Clearly present the arrival curve and the departure curve (in different colours) and label both axes (include units). (10 marks) c) What is the maximum queue of vehicles? Approximate the queue length (in metres). Does this queueing event confirm residents' complaints of excessive queuing? (6 marks) d) What is the total delay of the queuing event? Calculate the number of vehicles that will be affected by the queuing event and the average individual delay of the vehicles affected (4 marks) e) Propose two possible traffic management solutions to alleviate the queueing concerns raised by the community. (6 marks)

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