A NEW PARAMETER ESTIMATION METHOD FOR UNCONSTRAINED GRAVITY MODELS

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  • KURITA Osamu
    Prof., Dept. of Administration Engineering, Faculty of Science and Technology, Keio University, Ph. D.

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Other Title
  • 無制約型重力モデルのパラメタ推定に関する新しい方法
  • ムセイヤクガタ ジュウリョク モデル ノ パラメタ スイテイ ニ カンスル アタラシイ ホウホウ エントロピー モデル ノ カイセキガクテキ ソクメン ニ チュウモク シタ ジュウリョク モデル ノ リカイ
  • — Understanding of gravity models with respect to analytical aspects of entropy maximizing formulas —
  • －エントロピーモデルの解析学的側面に注目した重力モデルの理解－

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Abstract

In this paper, unconstrained gravity model for urban trip pattern is formulated according to the entropy maximizing framework. It is reduced by maximizing the occurence probability of trip pattern subject to the total trip cost, which is the mixture of Wilson's and Sasaki's entropy models. Some characteristics useful to understand the structure of the gravity model were found by a precise observation on an analytical aspect of the model. A new method for parameter estimation for the gravity model is also proposed in our study: parameters for the unconstrained gravity model are estimated only by solving a non-linear equation witch is reduced from constraints of the entropy maximizing problem, and the uniqueness of the estimator has been veriaed mathematically.

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