### 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 |

State | Published - Dec 1964 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Modeling and Simulation
- Control and Optimization
- Applied Mathematics
- Electrical and Electronic Engineering
- Control and Systems Engineering
- Information Systems and Management
- Signal Processing

### Cite this

*Journal of the Franklin Institute*,

*278*(6), 371-382.

**The sensitivity of a traffic network.** / Yau, Sik-Sang.

Research output: Contribution to journal › Article

*Journal of the Franklin Institute*, vol. 278, no. 6, pp. 371-382.

}

TY - JOUR

T1 - The sensitivity of a traffic network

AU - Yau, Sik-Sang

PY - 1964/12

Y1 - 1964/12

N2 - 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.

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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UR - http://www.scopus.com/inward/citedby.url?scp=50549206672&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:50549206672

VL - 278

SP - 371

EP - 382

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

SN - 0016-0032

IS - 6

ER -