Research Article
Jun 1968
Optimum Curvature Principle In Highway Routing
Publication: Journal of the Highway Division
Volume 94, Issue 1
Abstract
The problem of locating a highway between two given points is considered, so as to optimize a given criterion of merit. The calculus of variations is used to derive the Optimum Curvature Principle: the curvature of an optimum route at each point is equal to the percentage rate-of-change of the criterion function perpendicular to the route. The OCP is explained and described geometrically, illustrated by example, and compared to existing techniques. Practical aspects of its application are discussed, and areas for future research are indicated. Suggested areas of application include vertical alinement, horizontal alinement, minimize right-of-way cost, or cut-and-fill, or construction-plus-user cost, or cost/benefit ratio, or whatever criterion is selected.
Get full access to this article
View all available purchase options and get full access to this article.
Information & Authors
Information
Published In
Journal of the Highway Division
Volume 94 • Issue 1 • June 1968
Pages: 61 - 82
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Jun 1968
Published online: Feb 6, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
Bernard E. Howard
Prof., Dept. of Mathematics, Univ. of Miami, Coral Gables, Fla.
Zacarias Bramnick
Research Scientist, Dept. of Engrg. Graphics, Univ. of Miami, Coral Gables, Fla.
Jocelyn F.B. Shaw, F.ASCE
Cons. Engr., Shaw and Associates, Miami, Fla.
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
Cited by
View Options
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.