A CAPACITY RESTRAINT TRANSIT ASSIGNMENT WITH ELASTIC LINE FREQUENCY

Document Type

Journal Article

Publication Date

2002

Subject Area

operations - capacity, operations - traffic, operations - frequency, planning - route design, ridership - elasticity, ridership - commuting, mode - mass transit

Keywords

Waiting time, Transit traffic, Transit operating agencies, Transit lines, Transit assignment, Transit, Stochastic programming, Route selection, Route choice, Public transit lines, Public transit, Programming (Mathematics), Passenger traffic, Passenger service, Optimization theory, Numerical solutions, Numerical analysis, Networks, Mathematical programming, Mass transit lines, Mass transit, Local transit, Equilibrium (Economics), Elasticity (Economics), Capacity restraint, Algorithms

Abstract

In this paper, a new transit assignment model is proposed for the problem of determining route choice and predicting passenger flows on transit networks. The model takes into account the effects of capacity restraint and elastic line frequency. A stochastic user equilibrium model with congestion and elastic line frequency is proposed and the equivalent mathematical programming problem is also formulated. A fixed point problem with respect to the line frequency is devised since the passenger waiting time and line capacity are dependent on the line frequency. The existence of the fixed point problem has been proved, and a solution algorithm for the proposed model is presented. The application of the proposed model and solution algorithm is illustrated using a numerical example, and directions for future research are presented.

Comments

Transportation Research Part B Home Page: http://www.sciencedirect.com/science/journal/01912615

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