Abstract
A U.S. certificated passenger airline must be authorized by the Civil Aeronautics Board before it can schedule a route to serve a set of cities. The route authority is described in a number of legal statements on a Route Certificate, which specifies the routing restrictions by which the airline must abide in offering the service. For cost considerations, an airline is often interested in the shortest flight-time routes between city pairs. This paper introduces a graph-theoretic method to quantify the legal statements in a Certificate. Through straightforward matrix operations, all the authorized nonstop and multistop routes, including the shortest time routes, can be generated. The method is a convenient tool to help an airline to generate alternative network routes as demonstrated by a case study of American Airlines.
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References
Airline Tariff Publishers Inc. (Annual Updates). Book of Official C.A.B. Airline Route Maps and Airport to Airport Mileages. Washington, D.C.
Aviation Week and Space Technology (A W & ST) (1965). “Matrices Illustrate TWA's Authority.” Aug. 30.
Avondo-Bodino, G. (1962). Economic Applications of The Theory of Graphs. London: Gordon and Beach.
Bellman, R. E., Cooke, K. L., and Lockett, J. A. (1970). Algorithms, Graphs and Computers. New York: Academic Press.
Chan, Y. (1972). “Route Network Improvement in Air Transportation Schedule Planning.” Dept. of Aeronautics and Astronautics, M.I.T., Flight Transportation Laboratory Report R72-3, May.
Chan, Y. (1974a). “A descriptive economic model for rationalizing airline route structures,” Transportation Research Forum Proceedings, Vol. XV, No. 1.
Chan, Y. (1974b).“Configuring a transportation route network via the method of successive approximation.” Computers & Operations Research 1: 385–420.
Chan, Y. (1975). “The U.S. Airline Industry: A taxonomy of their managerial function and practices,” Transportation Planning Journal 4 (3): 134–154. (Ministry of Communications, Taiwan, Republic of China.)
Chan, Y. and Ponder, R. J. (1978). “Overview of the Small Package Air Carrier Industry: A Case Study of Federal Express.” Presented at the Air Transportation Meeting of the Society of Automotive Engineers (SAE), Boston, MA. (SAE preprint 780540).
Dreyfus, S. E. (1969). “An appraisal of some shortest-path algorithms.” Operations Research, 17 (May): 395–412.
Sobel, R. A. (1969). “Domestic Route Authority Program.” CTR 1007, Issue 3, Commercial Transportation Research Department, Lockheed California Co., June.
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Chan, Y. A graph-theoretic method to quantify the airline route authority. Transportation 8, 275–291 (1979). https://doi.org/10.1007/BF00169992
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DOI: https://doi.org/10.1007/BF00169992