# A DISTRIBUTED ALGORITHM FOR COALITION FORMATION IN LINEAR PRODUCTION DOMAIN

### Chattrakul Sombattheera, Aditya Ghose

#### Abstract

Coalition formation is an important area of research in multi-agent systems. The large number of agents can make coalition formation become a complex process. The problem of dealing with large number of agents during coalition formation has received little attention in the literature. Previous studies assume that each coalition value is known a priori. This assumption is impractical in realworld settings. Furthermore, the problem of finding coalition values become intractable for even a relatively small number of agents. This work studies coalition formation among fully cooperative agents in linear production domain, where each coalition value is not known a priori. The common goal of the agents is to maximize the system’s profit. We propose a distributed algorithm that allow agents to i) deliberate profitable coalitions, and ii) compute optimal coalition structure. We show that our algorithm outperforms exhaustive search when generating profitable coalitions, which can be used to achieve optimal coalition structure that yields the system’s maximal profit.

#### References

- Dang, V. D. and Jennings, N. R. (2004). Generating coalition structures with finite bound from the optimal guarantees. In Third International Joint Conference on Autonomous Agents and Multiagent Systems - Volume 2 (AAMAS'04), pp. 564-571.
- Kahan, J. P. and Rapoport, A. (1984). Theories of Coalition Formation. Lawrence Erlbaum Associates, Hillsdale, New Jersey.
- Owen, G. (1975). On the core of linear production games. Mathematical Programming 9 (1975) 358-370.
- Sandholm, T., Larson, K., Andersson, M., Shehory, O., and Tohmé, F. (1999). Coalition structure generation with worst case guarantees. Artif. Intell., 111(1- 2):209-238.
- Sandholm, T. and Lesser, V. (1995). Coalition Formation among Bounded Rational Agents. 14th International Joint Conference on Artificial Intelligence, pages 662-669.
- Shehory, O. and Kraus, S. (1995). Task allocation via coalition formation among autonomous agents. In Proc. of IJCAI, pages 655-661.
- Shehory, O. and Kraus, S. (1996). Formation of overlapping coalitions for precedence-ordered task-execution among autonomous agents. In ICMAS-96, pages 330- 337.
- Soh, L.-K. and Tsatsoulis, C. (2002). Satisficing coalition formation among agents. In Proceedings of the first international joint conference on Autonomous agents and multiagent systems, pages 1062-1063. ACM Press.

#### Paper Citation

#### in Harvard Style

Sombattheera C. and Ghose A. (2006). **A DISTRIBUTED ALGORITHM FOR COALITION FORMATION IN LINEAR PRODUCTION DOMAIN** . In *Proceedings of the Eighth International Conference on Enterprise Information Systems - Volume 2: ICEIS,* ISBN 978-972-8865-42-9, pages 17-22. DOI: 10.5220/0002445000170022

#### in Bibtex Style

@conference{iceis06,

author={Chattrakul Sombattheera and Aditya Ghose},

title={A DISTRIBUTED ALGORITHM FOR COALITION FORMATION IN LINEAR PRODUCTION DOMAIN},

booktitle={Proceedings of the Eighth International Conference on Enterprise Information Systems - Volume 2: ICEIS,},

year={2006},

pages={17-22},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002445000170022},

isbn={978-972-8865-42-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Eighth International Conference on Enterprise Information Systems - Volume 2: ICEIS,

TI - A DISTRIBUTED ALGORITHM FOR COALITION FORMATION IN LINEAR PRODUCTION DOMAIN

SN - 978-972-8865-42-9

AU - Sombattheera C.

AU - Ghose A.

PY - 2006

SP - 17

EP - 22

DO - 10.5220/0002445000170022