### Abstract

Deploying caches on a network is an effective way to reduce the amount of data transmitted in a network. Recently, in an academic backbone network such as SINET (the Science Information Network) in Japan, the amount of transmitted data has significantly increased. It is desired to design an efficient mechanism to allocate caches in an optimal way. In this paper, we begin by formulating a discrete optimization model to find a cache allocation that minimizes the total transmission cost. We then design two efficient algorithms to solve our proposed model. The first one makes use of the fact that a backbone network has small treewidth. The algorithm runs in polynomial time when the number of items is fixed and a graph has a bounded treewidth. The other one reduces the problem to the minimum-cost flow problem under the practical assumption that each item has at most one copy. This yields a polynomial-time combinatorial algorithm. Our numerical experiments on the real SINET network show that our algorithms can solve the cache placement problem efficiently in practice.

Original language | English |
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Pages (from-to) | 197-216 |

Number of pages | 20 |

Journal | Journal of the Operations Research Society of Japan |

Volume | 61 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2018 Apr |

### Keywords

- Combinatorial optimization
- Facility planning
- Graph theory

### ASJC Scopus subject areas

- Decision Sciences(all)
- Management Science and Operations Research

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## Cite this

*Journal of the Operations Research Society of Japan*,

*61*(2), 197-216. https://doi.org/10.15807/jorsj.61.197