Optimum Transportation Route in Cost Heterogeneous Terrain with Complex Cost Boundary Curve

This paper presents a generalized algorithm for determining the optimum transportation route in cost heterogeneous terrain. This terrain consists of two subregions separated by a complex cost boundary curve, which is represented by a multi-interval cubic spline. The optimum route is based on the criterion of minimum construction, maintenance and operation cost and allows the direct determination of the corner point without iteration. This algorithm requires the solution of a sixteenth order algebraic equation having real and conjugate complex roots. The optimum route corresponds to that root yielding the maximum saving in cost. The developed algorithm was implemented to special cases with straight cost boundary line yielding excellent agreement with available analytical solutions. The paper reveals that the effect of cost ratio on the location of optimum route as well as on saving in cost is quite significant.

• Corporate Authors:

  Transportation Research Board

  500 Fifth Street, NW
  Washington, DC  United States  20001
• Authors:
  • Ibraheem, Asma Thamir
• Conference:
  • Transportation Research Board 86th Annual Meeting
  • Location: Washington DC, United States
  • Date: 2007-1-21 to 2007-1-25
• Date: 2007

Language

• English

Media Info

• Media Type: CD-ROM
• Features: Figures; References; Tables;
• Pagination: 20p
• Monograph Title: TRB 86th Annual Meeting Compendium of Papers CD-ROM

Subject/Index Terms

• TRT Terms: Highways; Location; Location theory; Optimization; Roads; Routes and routing; Terrain; Terrain evaluation; Transportation planning
• Uncontrolled Terms: Subregional analysis; Subregional planning
• Subject Areas: Economics; Highways; Planning and Forecasting; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 01046126
• Record Type: Publication
• Report/Paper Numbers: 07-3284
• Files: TRIS, TRB
• Created Date: Apr 18 2007 7:18AM