# Study of Route Optimization Considering Bottlenecks and Fairness Among Partial Paths

### Toshihiro Matsui, Marius Silaghi, Katsutoshi Hirayama, Makoto Yokoo, Hiroshi Matsuo

#### Abstract

Route optimization is an important problem for single agents and multi-agent systems. In route optimization tasks, the considered challenges generally belong to the family of shortest path problems. Such problems are solved using optimization algorithms, such as the A* algorithm, which is based on tree search and dynamic programming. In several practical cases, cost values should be as evenly minimized for individual parts of paths as possible. These situations are also considered as multi-objective problems for partial paths. Since dynamic programming approaches are employed for the shortest path problems, different types of criteria which can be decomposed with dynamic programming might be applied to the conventional solution methods. For this class of problems, we employ a leximax-based criterion, which considers the bottlenecks and unfairness among the cost values of partial paths. This criterion is based on a similar criterion called leximin for multi-objective maximization problems. It is also generalized for objective vectors which have variable lengths. We address an extension of the conventional A* search algorithm and investigate an issue concerning on-line search algorithms. The influence of the proposed approach is experimentally evaluated.

#### References

#### Paper Citation

#### in Harvard Style

Matsui T., Silaghi M., Hirayama K., Yokoo M. and Matsuo H. (2018). **Study of Route Optimization Considering Bottlenecks and Fairness Among Partial Paths**.In *Proceedings of the 10th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART,* ISBN 978-989-758-275-2, pages 37-47. DOI: 10.5220/0006589000370047

#### in Bibtex Style

@conference{icaart18,

author={Toshihiro Matsui and Marius Silaghi and Katsutoshi Hirayama and Makoto Yokoo and Hiroshi Matsuo},

title={Study of Route Optimization Considering Bottlenecks and Fairness Among Partial Paths},

booktitle={Proceedings of the 10th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART,},

year={2018},

pages={37-47},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006589000370047},

isbn={978-989-758-275-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART,

TI - Study of Route Optimization Considering Bottlenecks and Fairness Among Partial Paths

SN - 978-989-758-275-2

AU - Matsui T.

AU - Silaghi M.

AU - Hirayama K.

AU - Yokoo M.

AU - Matsuo H.

PY - 2018

SP - 37

EP - 47

DO - 10.5220/0006589000370047