MIT1_258JS10_lec16

MIT1_258JS10_lec16 - MACRO DESIGN MODELS FOR A SINGLE ROUTE...

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MACRO DESIGN MODELS FOR A SINGLE ROUTE Nigel Wilson Outline 1. Introduction to analysis approach 2. Bus frequency model 3. Bus size model 4. Stop/station spacing model 1 1.258J/11.541J/ESD.226J Spring 2010, Lecture 16
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Introduction to Analysis Approach Basic approach is to establish an aggregate total cost function including: operator cost as f (design parameters) user cost as g (design parameters) Minimize total cost function to determine optimal design parameter (s.t. constraints) Variants include: Maximize service quality s.t. budget constraint Maximize consumer surplus s.t. budget constraint 2 1.258J/11.541J/ESD.226J Spring 2010, Lecture 16 Total Cost User Cost H op T Headway Operator Cost Cost
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Bus Frequency Model: the Square Root Model Nigel Wilson Problem: define bus service frequency on a route as a function of ridership Total Cost = operator cost + user cost 3 1.258J/11.541J/ESD.226J Spring 2010, Lecture 16
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Square Root Model (cont’d) Nigel Wilson This is the Square Rule with the following implications: high frequency is appropriate where (cost of wait time/cost of operations time) is high frequency is proportional to the square root of ridership per unit time for routes of similar length Ridership Frequency Capacity Constant Load Factor Frequency-Ridership Relationship 4 1.258J/11.541J/ESD.226J Spring 2010, Lecture 16
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Nigel Wilson Load factor is proportional to the square root of the product of ridership and route length. Ridership
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MIT1_258JS10_lec16 - MACRO DESIGN MODELS FOR A SINGLE ROUTE...

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