Prediction of intercity freight flows, II: Mathematical formulations

Patrick T. Harker; Terry L. Friesz

doi:10.1016/0191-2615(86)90005-6

Prediction of intercity freight flows, II: Mathematical formulations

Patrick T. Harker
, Terry L. Friesz

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

This paper presents alternative mathematical representations of the predictive intercity freight model developed by Harker and Friesz (1986). A nonlinear complementary formulation is developed and is then used to develop criteria for the existence and uniqueness of a solution to this model. A variational inequality formulation of the model is also developed, and its relationship to an equivalent optimization problem is demonstrated.

Original language	English (US)
Pages (from-to)	155-174
Number of pages	20
Journal	Transportation Research Part B
Volume	20
Issue number	2
DOIs	https://doi.org/10.1016/0191-2615(86)90005-6
State	Published - Apr 1986

All Science Journal Classification (ASJC) codes

Transportation
Civil and Structural Engineering

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10.1016/0191-2615(86)90005-6

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title = "Prediction of intercity freight flows, II: Mathematical formulations",

abstract = "This paper presents alternative mathematical representations of the predictive intercity freight model developed by Harker and Friesz (1986). A nonlinear complementary formulation is developed and is then used to develop criteria for the existence and uniqueness of a solution to this model. A variational inequality formulation of the model is also developed, and its relationship to an equivalent optimization problem is demonstrated.",

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N2 - This paper presents alternative mathematical representations of the predictive intercity freight model developed by Harker and Friesz (1986). A nonlinear complementary formulation is developed and is then used to develop criteria for the existence and uniqueness of a solution to this model. A variational inequality formulation of the model is also developed, and its relationship to an equivalent optimization problem is demonstrated.

AB - This paper presents alternative mathematical representations of the predictive intercity freight model developed by Harker and Friesz (1986). A nonlinear complementary formulation is developed and is then used to develop criteria for the existence and uniqueness of a solution to this model. A variational inequality formulation of the model is also developed, and its relationship to an equivalent optimization problem is demonstrated.

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U2 - 10.1016/0191-2615(86)90005-6

DO - 10.1016/0191-2615(86)90005-6

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VL - 20

SP - 155

EP - 174

JO - Transportation Research Part B

JF - Transportation Research Part B

IS - 2

ER -

Prediction of intercity freight flows, II: Mathematical formulations

Abstract

All Science Journal Classification (ASJC) codes

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