### Abstract

In this paper, we consider the universally quickest transshipment problem in a dynamic network where each arc has not only a capacity but also a transit time. The problem asks for minimizing the time when the last supply reaches the sink as well as simultaneously maximizing the amount of supply which has reached the sink at every time step. In this paper, we propose a polynomial-time algorithm for the problem in the class of dynamic networks which is a generalization of grid networks with uniform capacity and uniform transit time.

Original language | English |
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Title of host publication | Algorithms and Computation - 20th International Symposium, ISAAC 2009, Proceedings |

Pages | 802-811 |

Number of pages | 10 |

DOIs | |

Publication status | Published - Dec 1 2009 |

Event | 20th International Symposium on Algorithms and Computation, ISAAC 2009 - Honolulu, HI, United States Duration: Dec 16 2009 → Dec 18 2009 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 5878 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 20th International Symposium on Algorithms and Computation, ISAAC 2009 |
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Country | United States |

City | Honolulu, HI |

Period | 12/16/09 → 12/18/09 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Algorithms and Computation - 20th International Symposium, ISAAC 2009, Proceedings*(pp. 802-811). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5878 LNCS). https://doi.org/10.1007/978-3-642-10631-6_81

**A polynomial-time algorithm for the universally quickest transshipment problem in a certain class of dynamic networks with uniform path-lengths.** / Kamiyama, Naoyuki; Katoh, Naoki.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Algorithms and Computation - 20th International Symposium, ISAAC 2009, Proceedings.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5878 LNCS, pp. 802-811, 20th International Symposium on Algorithms and Computation, ISAAC 2009, Honolulu, HI, United States, 12/16/09. https://doi.org/10.1007/978-3-642-10631-6_81

}

TY - GEN

T1 - A polynomial-time algorithm for the universally quickest transshipment problem in a certain class of dynamic networks with uniform path-lengths

AU - Kamiyama, Naoyuki

AU - Katoh, Naoki

PY - 2009/12/1

Y1 - 2009/12/1

N2 - In this paper, we consider the universally quickest transshipment problem in a dynamic network where each arc has not only a capacity but also a transit time. The problem asks for minimizing the time when the last supply reaches the sink as well as simultaneously maximizing the amount of supply which has reached the sink at every time step. In this paper, we propose a polynomial-time algorithm for the problem in the class of dynamic networks which is a generalization of grid networks with uniform capacity and uniform transit time.

AB - In this paper, we consider the universally quickest transshipment problem in a dynamic network where each arc has not only a capacity but also a transit time. The problem asks for minimizing the time when the last supply reaches the sink as well as simultaneously maximizing the amount of supply which has reached the sink at every time step. In this paper, we propose a polynomial-time algorithm for the problem in the class of dynamic networks which is a generalization of grid networks with uniform capacity and uniform transit time.

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U2 - 10.1007/978-3-642-10631-6_81

DO - 10.1007/978-3-642-10631-6_81

M3 - Conference contribution

AN - SCOPUS:75649128725

SN - 3642106307

SN - 9783642106309

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 802

EP - 811

BT - Algorithms and Computation - 20th International Symposium, ISAAC 2009, Proceedings

ER -