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Determine the share (proportion) of person-trips by each of two modes (private auto and mass transit) using the multinomial logit model and given the following information: Utility function:  Uk = Ak – 0.07 Ta – 0.05 Tw – 0.04 Tr – 0.015 C

Determine the share (proportion) of person-trips by each of two modes (private auto and mass transit) using the multinomial logit model and given the following information: Utility function:  Uk = Ak – 0.07 Ta – 0.05 Tw – 0.04 Tr – 0.015 C

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Determine the share (proportion) of person-trips by each of two modes (private auto and mass transit) using the multinomial logit model and given the following information:

Utility function:  Uk = Ak – 0.07 Ta – 0.05 Tw – 0.04 Tr – 0.015 C

 

 

 

### Transport Mode Comparison Table This table compares various parameters between two modes of transportation: private auto and mass transit. Below are the details for each parameter: | Parameter | Private Auto | Mass Transit | |----------------------------|--------------|--------------| | \( T_a \), Access Time (min.) | 4 | 10 | | \( T_w \), Waiting Time (min.) | 0 | 11 | | \( T_r \), Riding Time (min.) | 17 | 30 | | \( C \), Out of Pocket Cost (cents) | 190 | 110 | | \( A_k \), Calibration Constant | -0.02 | -0.08 | - **Access Time (\( T_a \))**: Represents the time needed to access the mode of transport. Private autos are quicker, with only 4 minutes needed compared to 10 minutes for mass transit. - **Waiting Time (\( T_w \))**: For private autos, waiting time is zero, as individuals can typically leave when they choose. In contrast, mass transit requires an average waiting time of 11 minutes. - **Riding Time (\( T_r \))**: The duration of the journey once in transit. Private autos again offer a faster experience at 17 minutes, compared to 30 minutes for mass transit. - **Out of Pocket Cost (\( C \))**: This reflects the immediate financial cost to the traveler. Mass transit tends to be cheaper, costing 110 cents, while private autos cost 190 cents. - **Calibration Constant (\( A_k \))**: Used in mathematical models to adjust for various factors. The constant is -0.02 for private autos and -0.08 for mass transit, indicating adjustments needed in travel behavior models. This table serves to illustrate the trade-offs between using a private auto and mass transit, showing differences in time and cost for travelers.
Transcribed Image Text:### Transport Mode Comparison Table This table compares various parameters between two modes of transportation: private auto and mass transit. Below are the details for each parameter: | Parameter | Private Auto | Mass Transit | |----------------------------|--------------|--------------| | \( T_a \), Access Time (min.) | 4 | 10 | | \( T_w \), Waiting Time (min.) | 0 | 11 | | \( T_r \), Riding Time (min.) | 17 | 30 | | \( C \), Out of Pocket Cost (cents) | 190 | 110 | | \( A_k \), Calibration Constant | -0.02 | -0.08 | - **Access Time (\( T_a \))**: Represents the time needed to access the mode of transport. Private autos are quicker, with only 4 minutes needed compared to 10 minutes for mass transit. - **Waiting Time (\( T_w \))**: For private autos, waiting time is zero, as individuals can typically leave when they choose. In contrast, mass transit requires an average waiting time of 11 minutes. - **Riding Time (\( T_r \))**: The duration of the journey once in transit. Private autos again offer a faster experience at 17 minutes, compared to 30 minutes for mass transit. - **Out of Pocket Cost (\( C \))**: This reflects the immediate financial cost to the traveler. Mass transit tends to be cheaper, costing 110 cents, while private autos cost 190 cents. - **Calibration Constant (\( A_k \))**: Used in mathematical models to adjust for various factors. The constant is -0.02 for private autos and -0.08 for mass transit, indicating adjustments needed in travel behavior models. This table serves to illustrate the trade-offs between using a private auto and mass transit, showing differences in time and cost for travelers.
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