OPTIMIZATION OF VERTICAL ALIGNMENT FOR HIGHWAYS THROUGH MATHEMATICAL PROGRAMMING
THE DESIGN OF THE VERTICAL ALIGNMENT PORTION OF A MODERN HIGHWAY IS AN ENGINEERING PROBLEM OF LARGE COMPUTATIONAL MAGNITUDE CHARACTERISTICALLY POSSESSING AN UNLIMITED NUMBER OF SOLUTIONS. THE FAMILIAR ALIGNMENT PROBLEM IS SUBJECTED TO FORMAL MATHEMATICAL DECISION THEORY. AN ALGORITHM IS DEVELOPED THAT IS CAPABLE OF GENERATING A SEQUENCE OF FEASIBLE DESIGN STATEMENTS AND THAT TERMINATES WITH AN OPTIMAL DESIGN. THE DESIGN ALGORITHM IS DEVELOPED FOR RAPID SOLUTION ON A DIGITAL COMPUTER TO PRODUCE A HIGHLY REFINED DESIGN STATEMENT. A LIST OF DESIGN CONSTRAINTS IS COMPILED AND MATHEMATICALLY DESCRIBED IN TERMS OF THE ALIGNMENT DESIGN VARIABLES. A GENERAL COST FUNCTION IS DERIVED IN TERMS OF THE DESIGN VARIABLES. THE DESIGN VARIABLES DEFINED IN THE SOLUTION PROCESS ARE THE CENTERLINE ELEVATIONS AND THE LOCATION OF THE CATCH POINTS AT EITHER SIDE OF THE ROADWAY. /AUTHOR/
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Supplemental Notes:
- Paper sponsored by Committee on Geometric Highway Design. 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.
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Authors:
- Hayman, Robert W
- Publication Date: 1970
Media Info
- Media Type: Digital/other
- Features: Figures; References;
- Pagination: pp 1-9
- Monograph Title: Geometric design, protective barrier systems, luminaire supports
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Serial:
- Highway Research Record
- Issue Number: 306
- Publisher: Highway Research Board
Subject/Index Terms
- TRT Terms: Algorithms; Alignment; Altitude; Center lines; Costs; Curves (Geometry); Decision theory; Digital computers; Geometric design; Highway design; Mathematical analysis
- Uncontrolled Terms: Cost data; Elevation; Vertical curvature
- Subject Areas: Design; Finance; Highways;
Filing Info
- Accession Number: 00203473
- Record Type: Publication
- Files: TRIS, TRB
- Created Date: Sep 21 1970 12:00AM