Journal ArticleDOI
The calibration of trip distribution models with exponential or similar cost functions
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This article is published in Transportation Research.The article was published on 1971-04-01. It has received 139 citations till now. The article focuses on the topics: Calibration (statistics) & Trip distribution.read more
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A family of spatial interaction models and associated developments
TL;DR: This paper shows that the gravity model is not a single model but that there is a whole family of spatial interaction models, and is particularly concerned with the disaggregation of such models, with the incorporation of time variables, and with the relation of spatial interactions to more general models.
Book
Urban Modelling: Algorithms, Calibrations, Predictions
TL;DR: Introduces mathematical models of urban phenomena relevant to scientists and planners attempting to understand and predict the form of cities and regions.
Journal ArticleDOI
A relationship between the gravity model for trip distribution and the transportation problem in linear programming
TL;DR: In this article, it is shown that as ALPHA TENDS TO INFINITY, this tri-trip multiplier is the limit in which the total COST of TRIPS is the least possible allowed by the given origin and destination locations.
Journal ArticleDOI
The Calibration of Gravity, Entropy, and Related Models of Spatial Interaction:
Michael Batty,S Mackie +1 more
TL;DR: Five methods for solving the maximum-likelihood equations are outlined and it appears that the Newton—Raphson method is the most efficient, and this is further tested in the calibration of disaggregated residential location models.
Book ChapterDOI
Chapter 9 Spatial interaction, transportation, and interregional commodity flow models
David F. Batten,David E. Boyce +1 more
TL;DR: Theoretical methods for studying these phenomena have been modified considerably during the past 30 years to provide operational assistance to transportation planners and, more recently, regional economists as discussed by the authors, and the developments made in the ongoing evolution of models describing spatial interaction, transportation, and the flow of commodities among different regions.
References
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Journal ArticleDOI
The Analysis of Variance
TL;DR: In this paper, the basic theory of analysis of variance by considering several different mathematical models is examined, including fixed-effects models with independent observations of equal variance and other models with different observations of variance.
Journal ArticleDOI
The Calibration of Trip Distribution Models
TL;DR: In this article, the authors considered the evidence supplied by a survey to substantiate the distributional hypothesis implied by the model and derived an evidence test which is applicable to trip-distribution models.
Journal ArticleDOI
The calibration of the distribution model for the SELNEC study
D.J. Wagon,A.F. Hawkins +1 more