THE RELATIONSHIP BETWEEN CARRIER CAPACITY AND MEAN PASSENGER WAITING TIME

The study is addressed to the problem of determining the relationship between carrier capacity and the expected waiting time of a random passenger at various demand levels. (Passenger arrivals per time.) A passenger is assumed to be in a waiting state during the total time he is in his station of origin from the time he enters until he departs on a moving carrier. A mathematical model of the stochastic process resulting from a 'go-when-filled' carrier dispatching policy is formulated and analyzed. The model assumes that individual passenger arrivals to the station are Poisson and that a minimum headway must be enforced between successive carriers leaving the station. A carrier queueing situation of the form E sub K (absolute D)1 results which is solved for the mean waiting time in queue. A solution technique and computer program for obtaining the roots of a c (th) order, complex, transcendental equation (necessary for a numerical solution of the mean waiting time in queue) is also included. Numerical values of the mean waiting time for various carrier capacities and arrival rates are included to illustrate the relationships. (Author)

• Corporate Authors:

  Massachusetts Institute of Technology

  Department of Civil Engineering, 77 Massachusetts Avenue
  Cambridge, MA  United States  02139
• Authors:
  • GRONINGER, K L
• Publication Date: 1967-9

Media Info

• Pagination: 53 p.

Subject/Index Terms

• TRT Terms: Intelligent transportation systems; Passenger service; Scheduling
• Old TRIS Terms: Advanced systems
• Subject Areas: Operations and Traffic Management; Passenger Transportation; Railroads;

Filing Info

• Accession Number: 00039038
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: R67-74 Res Rpt
• Contract Numbers: C-85-65t
• Files: TRIS
• Created Date: Nov 24 1973 12:00AM