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Problem 3 A corridor connecting a suburban region to the Central Business District (CBD) is experiencing significant congestion during morning peak...

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Problem 3 A corridor connecting a suburban region to the Central Business District (CBD) is experiencing significant congestion during morning peak periods. The primary purpose of travel during the peak period is “work”, and the corridor has two main modes-drive alone (single occupant vehicle=SOV), and carpool. The city transportation engineer is considering converting a lane in each direction of travel into a high occupancy vehicle (HOV) only lane. The city officials want to know what impact this proposed measure would have on current mode split in the corridor. A multinomial logit model is to be used for the analysis. The utility functions for the model are: ) ( 2 . 0 ) ( 05 . 0 0 . 2 sov sov sov TC TT V - - = ) ( 2 . 0 ) ( 05 . 0 carpool carpool carpool TC TT V - - = TT i =travel time by mode i, minutes TC i =travel cost by mode i, dollars Carpool =2-person carpool Assume 2-person carpool cost is half cost for single occupant vehicle in the base condition only. The current count of vehicles in the corridor based on vehicle occupancy is: Number of single occupant vehicles=3068 Number of 2-person carpool vehicles=432 The expected system attribute values if the HOV lane were to be implemented are: TT auto =30 minutes TT carpool =18 minutes TC auto =$7.75 TC carpool =$3.75 i. Determine what the current mode split is in the corridor. ii. Determine what the current average car occupancy is in the corridor. iii. Determine what the expected mode split would be after implementation of the HOV lane. iv. Determine what the expected average car occupancy in the corridor would be after implementation of the HOV lane.
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