An Extremal and Information-Theoretic Characterization of some Interzonal Transfer Models

The paper develops a method of deriving gravity models from extremal principles. The prototype result yields the most popular gravity flow model characterized by an extremal principle. This principle is also for the first time elucidated as an information-theoretic one of choosing the distribution o...

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Bibliographic Details
Main Authors: Charnes,A, Raike,W. M, Bettinger,C. O
Format: Report
Language:English
Subjects:
CONVEX SETS
DUALITY THEORY
GRAVITY
GRAVITY MODELS
INFORMATION THEORY
NONLINEAR PROGRAMMING
Operations Research
OPTIMIZATION
PARTIAL DIFFERENTIAL EQUATIONS
TRAFFIC
TRANSPORTATION
TRANSPORTATION MODELS
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Summary:The paper develops a method of deriving gravity models from extremal principles. The prototype result yields the most popular gravity flow model characterized by an extremal principle. This principle is also for the first time elucidated as an information-theoretic one of choosing the distribution of interzonal transfers which gives least information (in the technical sense) for discrimination against a distribution reflecting the facility (reciprocal of the difficulty) of travel between zones. (Author) Prepared in cooperation with Northeast Louisiana State Coll., Monroe.