RECURSIVE STRUCTURE FOR EXACT LINE PROBABILITIES AND EXPECTED WAITING TIMES IN MULTIPATH TRANSIT ASSIGNMENT

Exact analytical expressions for incorporation into transit network assignment frameworks are presented. These expressions apply to the case of random uniform passenger arrivals and fixed constant line headways. Previously, difficulty in specification has led to assumptions such as Poisson line arrivals; the reality, however, conforms more to fixed schedules than to Poisson line arrivals. The exact expressions that are derived define expected waiting times and line ridership probabilities. Recursive schemes are developed for computational implementation of these expressions by which to facilitate their application in practical transit assignment. The expressions were developed for multipath assignment schemes and can be used to enhance existing transit assignment algorithms in commonly used planning packages; applications can be either in the line enumeration phase or in the line ridership probability calculations. Numerical examples are provided to illustrate the application of the recursive schemes, and the predicted line probabilities are compared with simulated passenger and line arrivals.

• Record URL:
  • http://onlinepubs.trb.org/Onlinepubs/trr/1995/1493/1493-021.pdf
• Record URL:
  • https://scholar.google.com/scholar_lookup?title=RECURSIVE+STRUCTURE+FOR+EXACT+LINE+PROBABILITIES+AND+EXPECTED+WAITING+TIMES+IN+MULTIPATH+TRANSIT+ASSIGNMENT&author=R.+Jayakrishnan&author=M.+McNally&author=A.+Marar&publication_year=1995
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/0309061709
• Supplemental Notes:
  • This paper appears in Transportation Research Record No. 1493, Travel Demand Forecasting, Travel Behavior Analysis, Time-Sensitive Transportation, and Traffic Assignment Methods. Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the Transportation Research Board of the National Academy of Sciences. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved
• Authors:
  • Jayakrishnan, R
  • 0000-0002-0155-3622
  • McNally, Michael G
  • Marar, Arun G
• Publication Date: 1995

Language

• English

Media Info

• Features: Figures; References; Tables;
• Pagination: p. 178-187
• Monograph Title: Travel demand forecasting, travel behavior analysis, time-sensitive transportation, and traffic assignment methods
• Serial:
  • Transportation Research Record
  • Issue Number: 1493
  • Publisher: Transportation Research Board
  • ISSN: 0361-1981

Subject/Index Terms

• TRT Terms: Algorithms; Probability; Ridership; Schedules; Traffic assignment; Waiting time
• Candidate Terms: Recursion theory
• Uncontrolled Terms: Transit assignment
• Old TRIS Terms: Line arrivals; Multipath assignment; Passenger arrivals
• Subject Areas: Data and Information Technology; Highways; Planning and Forecasting; Public Transportation;

Filing Info

• Accession Number: 00714870
• Record Type: Publication
• ISBN: 0309061709
• Files: TRIS, TRB
• Created Date: Dec 8 1995 12:00AM