The sensitivity of a traffic network

S. S. Yau

doi:10.1016/0016-0032(64)90089-4

The sensitivity of a traffic network

S. S. Yau

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

1 Scopus citations

Abstract

The sensitivity of a traffic network is defined for investigating the variations of the terminal capacities due to the decreases of the capacities of individual elements (stations and links). The sensitivity of a traffic network of n stations is described by a square matrix of order n, called the sensitivity matrix. The maximum off-diagonal entry in a sensitivity matrix is studied. From this information, a method is established for the design of a traffic network such that by using minimum individual element capacities no terminal capacities decrease beyond the specified tolerance when the expected decreases of the element capacities are given.

Original language	English (US)
Pages (from-to)	371-382
Number of pages	12
Journal	Journal of the Franklin Institute
Volume	278
Issue number	6
DOIs	https://doi.org/10.1016/0016-0032(64)90089-4
State	Published - Dec 1964
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/0016-0032(64)90089-4

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title = "The sensitivity of a traffic network",

abstract = "The sensitivity of a traffic network is defined for investigating the variations of the terminal capacities due to the decreases of the capacities of individual elements (stations and links). The sensitivity of a traffic network of n stations is described by a square matrix of order n, called the sensitivity matrix. The maximum off-diagonal entry in a sensitivity matrix is studied. From this information, a method is established for the design of a traffic network such that by using minimum individual element capacities no terminal capacities decrease beyond the specified tolerance when the expected decreases of the element capacities are given.",

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note = "Funding Information: The author wishes to thank Dr. S. L. Hakimi of the Northwestern versity for the helpful discussions during the preparation of this paper. work was supported by the U. S. Army Research Office, Durham, N. C. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",

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AB - The sensitivity of a traffic network is defined for investigating the variations of the terminal capacities due to the decreases of the capacities of individual elements (stations and links). The sensitivity of a traffic network of n stations is described by a square matrix of order n, called the sensitivity matrix. The maximum off-diagonal entry in a sensitivity matrix is studied. From this information, a method is established for the design of a traffic network such that by using minimum individual element capacities no terminal capacities decrease beyond the specified tolerance when the expected decreases of the element capacities are given.

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The sensitivity of a traffic network

Abstract

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