The Analysis of Highway Networks - A Linear Programming Formulation

Abstract

THE PROBLEM USED AS A VEHICLE FOR THE ANALYSIS IS THE MINIMIZATION OF JOINT COSTS OF TRANSPORTATION AND INVESTMENT IN A HIGHWAY SYSTEM. TRANSPORTATION ROUTES ARE DEFINED AS DIRECTED ARCS LINKING URBAN CENTERS. THE RESTRAINT SET RECOGNIZES REQUIREMENTS FOR TRANSPORTATION CAPACITY TO AND FROM URBAN CENTERS, THE RELATIONSHIPS BETWEEN TRAFFIC ON ANY ROUTE AND CAPACITY ON OTHER ROUTES, AS WELL AS BUDGETARY LIMITS ON INVESTMENT. A SPECIAL ATTEMPT IS MADE TO ELABORATE ECONOMIC, GEOGRAPHIC, AND ENGINEERING IMPLICATIONS OF THE PROBLEM IN ADDITION TO IMPLICATIONS OF A GENERAL PEDAGOGICAL AND THEORETICAL SORT. ONE RESULT OF THIS ANALYSIS FOLLOWS FROM AN EXAMINATION OF THE EFFICIENCY PRICES OF THE DUAL PROBLEM. THESE PRICES CLARIFY CONCEPTS OF BENEFITS TO PROPERTY OWNERS AND VEHICLE USERS. ALSO, THEY OFFER A GUIDE TO ALTERNATE INVESTMENT POSSIBILITIES. SEVERAL WAYS TO CONTINUE THIS TYPE OF ANALYSIS ARE SUGGESTED, SUCH AS THE INCLUSION OF INTERSECTIONS AND CONGESTION COSTS IN THE ARRANGEMENT OF ROUTES. IN ADDITION, THE FORMULATION SUGGESTS PRIORITIES FOR EMPIRICAL RESEARCH. /AUTHOR/

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