### Abstract

A gradient projection algorithm using iterative aggregation and disaggregation is proposd and analyzed for box-constrained minimization problems. In a variation of the distributed computation model, the algorithm is shown to converge. The algorithm is applied to optimal routing in a large interconnected data communication network. The aggregation/disaggregation method proposed results in a multilevel hierarchical clustering of a large network, which fits naturally the hierarchical topological structure of large networks. A numerical simulation of a 52-node network shows that the serial version of the algorithm achieves 35% saving of computation time as compared to a path-formulated gradient projection code developed by D. P. Bertsekas, B. Gendron and W. K. Tsai (1984), which is among the fastest existing programs for path-formulated optimal routing.

Original language | English |
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Pages (from-to) | 1799-1804 |

Number of pages | 6 |

Journal | Proceedings of the American Control Conference |

Volume | 88 pt 1-3 |

Publication status | Published - 1 Dec 1988 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*Proceedings of the American Control Conference*,

*88 pt 1-3*, 1799-1804.