PUBLIC TRANSPORTATION LINE POSITIONS AND HEADWAYS FOR MINIMUM USER AND SYSTEM COST IN A RADIAL CASE

In this paper, a model of a transit system is built in polar coordinates with radial transit lines in order to find the line positions and headways which minimize user (travel time) and transit agency (operating) costs in response to A general population density function. It is found that the optimum line location is related to the population density and the circumferential access. The optimum headway is found to be that which causes user waiting time cost to equal the operating cost. The simplification of a population density function varying only radially is introduced. A method for determining the optimum number of lines is developed. This number depends upon the ratio of the access cost to the sum of the waiting and operating costs. It is proven that, for optimality, lines should be located in the centers of corridors of uniform width and have equal headways. A fleet size constraint is also introduced for the simplified case. It is proven that for optimality, the fleet is divided equally between lines. (A) /TRRL/

• Corporate Authors:

  Pergamon Press, Incorporated

  Maxwell House, Fairview Park
  Elmsford, NY  United States  10523
• Authors:
  • Byrne, B F
• Publication Date: 1975-7

Language

• English

Media Info

• Features: Figures; References; Tables;
• Pagination: p. 97-1023
• Serial:
  • Transportation Research /UK/
  • Volume: 9
  • Issue Number: 2/3
  • Publisher: Pergamon Press, Incorporated

Subject/Index Terms

• TRT Terms: Accessibility; Analysis; Carriers; Costs; Density; Economic factors; Economics; Headways; Location; Mathematical models; Networks; Operating costs; Operations; Optimization; Passenger service; Planning; Population; Public transit; Radials; Routing; Transportation; Transportation corridors; Transportation planning; Travel time; Trip length; Urban transportation; Waiting time
• Uncontrolled Terms: Cost analysis; Optimum; Transportation networks
• Old TRIS Terms: Operations planning
• ITRD Terms: 9139: Accessibility; 1116: Corridor (transp); 5908: Density; 263: Economics of transport; 685: Headway; 9061: Location; 6473: Mathematical model; 221: Operating costs; 335: Population; 744: Public transport; 9065: Radial; 1074: Terminus; 9100: Waiting time
• Subject Areas: Administration and Management; Economics; Operations and Traffic Management; Planning and Forecasting; Transportation (General); I71: Traffic Theory; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 00127901
• Record Type: Publication
• Source Agency: Transport and Road Research Laboratory (TRRL)
• Files: ITRD, TRIS
• Created Date: Dec 29 1981 12:00AM