# Coalition Structure Formation using Parallel Dynamic Programming

### Samriddhi Sarkar, Pratik Sinha, Narayan Changder, Animesh Dutta

#### Abstract

Dynamic Programming (DP) is an effective procedure to solve many combinatorial optimization problems and optimal Coalition Structure generation (CSG) is one of them. Optimal CSG is an important combinatorial optimization problem with significant real-life applications. The current best result in terms of worst case time complexity is O(3n). So, there is a need to find speedy approaches. This paper proposes a parallel dynamic programming algorithm for optimal CSG. We performed the comparison of our algorithm with the DP for CSG problem which happens to be a sequential procedure. The theoretical, as well as the empirical results show that our proposed method works faster than its sequential counterpart. We obtain a speed-up that is almost 14 times in case of 17 agents using a 16-core machine.

#### References

#### Paper Citation

#### in Harvard Style

Sarkar S., Sinha P., Changder N. and Dutta A. (2018). **Coalition Structure Formation using Parallel Dynamic Programming**.In *Proceedings of the 10th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,* ISBN 978-989-758-275-2, pages 103-110. DOI: 10.5220/0006587401030110

#### in Bibtex Style

@conference{icaart18,

author={Samriddhi Sarkar and Pratik Sinha and Narayan Changder and Animesh Dutta},

title={Coalition Structure Formation using Parallel Dynamic Programming},

booktitle={Proceedings of the 10th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,},

year={2018},

pages={103-110},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006587401030110},

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

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,

TI - Coalition Structure Formation using Parallel Dynamic Programming

SN - 978-989-758-275-2

AU - Sarkar S.

AU - Sinha P.

AU - Changder N.

AU - Dutta A.

PY - 2018

SP - 103

EP - 110

DO - 10.5220/0006587401030110